Details

Time bar (total: 12.7s)

analyze96.0ms (0.8%)

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%50%0.1%0%50%0%2
0%0%50%0.1%0%50%0%3
0%0%50%0.1%0%50%0%4
0%0%50%0.1%0%50%0%5
16.7%6.2%31.2%0.1%0%62.4%0%6
25%9.4%28.1%0.1%0%62.4%0%7
45%14%17.2%0.1%0%68.7%0%8
47.5%14.8%16.4%0.1%0%68.7%0%9
63.4%17.6%10.1%0.1%0.4%71.8%0%10
66.4%18.1%9.2%0.1%0.8%71.8%0%11
78.2%19.6%5.5%0.1%1.5%73.4%0%12
Compiler

Compiled 23 to 20 computations (13% saved)

sample1.6s (12.9%)

Results
1.4s8256×body256valid
154.0ms636×body256infinite
87.0ms575×body256invalid
Bogosity

preprocess94.0ms (0.7%)

Algorithm
egg-herbie
Rules
1272×associate-+l+
1044×fma-def
1038×+-commutative
716×fma-neg
710×associate-+r-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02494
15482
214874
339274
495674
5178574
6399374
7583874
8784174
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(*.f64 (-.f64 rand (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand (/.f64 1 3))))) a)))
Outputs
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (-.f64 rand (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand (/.f64 1 3))))) a)))
(*.f64 (+.f64 rand -1/3) (+.f64 1 (*.f64 a (/.f64 1 (sqrt.f64 (*.f64 9 (+.f64 rand -1/3)))))))
(*.f64 (+.f64 rand -1/3) (+.f64 1 (/.f64 a (sqrt.f64 (+.f64 (*.f64 9 rand) -3)))))
(*.f64 (+.f64 rand -1/3) (+.f64 1 (/.f64 a (sqrt.f64 (fma.f64 9 rand -3)))))
(*.f64 (-.f64 rand 1/3) (+.f64 1 (/.f64 a (sqrt.f64 (fma.f64 9 rand -3)))))
Compiler

Compiled 24 to 21 computations (12.5% saved)

simplify203.0ms (1.6%)

Algorithm
egg-herbie
Rules
2016×fma-def
1040×associate-+l+
954×associate--r+
884×distribute-lft-in
662×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01747
13441
28737
323137
450537
593137
6206137
7326037
8524837
9647637
10656737
11683737
12684537
13739837
14739837
Stop Event
saturated
Counts
1 → 4
Calls
Call 1
Inputs
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
Outputs
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))

eval1.0ms (0%)

Compiler

Compiled 65 to 53 computations (18.5% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New224
Fresh101
Picked000
Done000
Total325
Error
0.1b
Counts
5 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
Compiler

Compiled 34 to 28 computations (17.6% saved)

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
0.2b
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
0.3b
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)
0.4b
(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
Compiler

Compiled 67 to 54 computations (19.4% saved)

series13.0ms (0.1%)

Counts
4 → 42
Calls

18 calls:

TimeVariablePointExpression
2.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
1.0ms
a
@-inf
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)
1.0ms
rand
@0
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)
1.0ms
a
@inf
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)
1.0ms
a
@0
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))

rewrite140.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1228×distribute-lft-in
1132×associate-/r*
606×associate-/l*
390×associate-/r/
316×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015104
132398
2418294
Stop Event
node limit
Counts
4 → 317
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (cbrt.f64 (+.f64 (*.f64 9 a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) 1) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (sqrt.f64 -1)) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) -1) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (/.f64 -1 (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (pow.f64 9 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (/.f64 1 (cbrt.f64 (+.f64 (*.f64 9 a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) (/.f64 -1 (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 9) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2)) (/.f64 1 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2))) (/.f64 1/3 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (/.f64 -1 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (/.f64 -1 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (/.f64 -1 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 9 1/2) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2) 1/2) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))))

simplify176.0ms (1.4%)

Algorithm
egg-herbie
Rules
1034×associate-/l/
844×associate-/l*
618×associate-*r*
580×*-commutative
518×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082017039
1205416011
Stop Event
node limit
Counts
359 → 508
Calls
Call 1
Inputs
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))) 1)
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) 1)
(*.f64 1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(*.f64 1 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(*.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 9 1/2))
(*.f64 3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (cbrt.f64 (+.f64 (*.f64 9 a) -3)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(*.f64 -1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))))
(*.f64 (pow.f64 9 1/2) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 1 1/2) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1/2))
(*.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) 1) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) 3)
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (sqrt.f64 -1)) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) -1) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) 1)
(/.f64 1 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (/.f64 -1 (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (pow.f64 9 1/2)))
(/.f64 3 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (/.f64 1 (cbrt.f64 (+.f64 (*.f64 9 a) -3))))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))))
(/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) (/.f64 -1 (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))))
(/.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 9)))
(/.f64 (cbrt.f64 9) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 -1 (/.f64 -1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3) -1)
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2)) (/.f64 1 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2))) (/.f64 1/3 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))))
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (sqrt.f64 3)))
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (/.f64 -1 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))
(/.f64 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))))
(/.f64 (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 (sqrt.f64 (+.f64 a 1/3))))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (/.f64 -1 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 a -1/3))) -1/3)
(/.f64 (neg.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (/.f64 -1 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))
(/.f64 (pow.f64 9 1/2) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2) 1/2) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1/2)))
(/.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(/.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) -1))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1)) 1/3)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) -1)) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) -1))
(/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) 1) (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))
(/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))
(/.f64 (/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))
(pow.f64 (+.f64 (*.f64 9 a) -3) 1/2)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) 1)
(pow.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 3/2) 1/3)
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 3/2))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 9 a) -3)) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 0)
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (+.f64 (/.f64 (*.f64 rand rand) (*.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (+.f64 (*.f64 9 a) -3))) 1))
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) rand))
(/.f64 rand (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1)
(/.f64 (sqrt.f64 rand) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (sqrt.f64 rand)))
(/.f64 (cbrt.f64 rand) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (pow.f64 (cbrt.f64 rand) 2)))
(/.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (sqrt.f64 rand)) (cbrt.f64 (sqrt.f64 rand))))
(/.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (cbrt.f64 rand)) (cbrt.f64 rand)))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (cbrt.f64 rand)))
(/.f64 -1 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3) rand))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (sqrt.f64 rand)) (sqrt.f64 (cbrt.f64 rand))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (cbrt.f64 rand)) (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 rand)) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (sqrt.f64 rand)) (sqrt.f64 (sqrt.f64 rand))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (cbrt.f64 rand)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))))
(/.f64 (*.f64 rand -1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 (*.f64 -1 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 (/.f64 rand 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) (pow.f64 9 1/2))
(/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(/.f64 (neg.f64 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))) (cbrt.f64 (+.f64 (*.f64 9 a) -3)))
(/.f64 (/.f64 rand (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))))
(/.f64 (/.f64 rand (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 rand (pow.f64 1 1/2)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 (/.f64 rand (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1/2))
(/.f64 (/.f64 (*.f64 rand -1) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 (/.f64 (*.f64 rand -1) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (*.f64 rand -1) (sqrt.f64 (+.f64 a -1/3))) -3)
(/.f64 (/.f64 (*.f64 rand -1) (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))
(/.f64 (/.f64 (*.f64 rand -1) -1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 (/.f64 (*.f64 rand -1) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 (/.f64 (*.f64 rand -1) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 (/.f64 (*.f64 rand -1) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 (/.f64 (*.f64 rand -1) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 (/.f64 (*.f64 rand -1) (neg.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(/.f64 (/.f64 (*.f64 -1 rand) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 (/.f64 (*.f64 -1 rand) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (*.f64 -1 rand) (sqrt.f64 (+.f64 a -1/3))) -3)
(/.f64 (/.f64 (*.f64 -1 rand) (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))
(/.f64 (/.f64 (*.f64 -1 rand) -1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 (/.f64 (*.f64 -1 rand) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 (/.f64 (*.f64 -1 rand) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 (/.f64 (*.f64 -1 rand) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 (/.f64 (*.f64 -1 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 (/.f64 (*.f64 -1 rand) (neg.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(/.f64 (/.f64 (/.f64 rand 1) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 (/.f64 (/.f64 rand 1) 3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (/.f64 rand 1) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))))
(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 1 1/2)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1/2))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) 1) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 3))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (sqrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) 1) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 3))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (neg.f64 rand) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 (/.f64 (neg.f64 rand) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))) -3)
(/.f64 (/.f64 (neg.f64 rand) (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))
(/.f64 (/.f64 (neg.f64 rand) -1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 (/.f64 (neg.f64 rand) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 (/.f64 (neg.f64 rand) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 (/.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 (/.f64 (neg.f64 rand) (neg.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
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(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) 1) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))
(/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3)) 1) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3)) (sqrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (sqrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (cbrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))) (cbrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 a -1/3)) 1) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 a -1/3)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (+.f64 a 1/3)) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) (+.f64 a 1/3)) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (fma.f64 a a -1/9)) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (fma.f64 a a -1/9)) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
Outputs
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))
(fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3)))
(fma.f64 3 (sqrt.f64 -1/3) (/.f64 3/2 (/.f64 (sqrt.f64 -1/3) a)))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(fma.f64 -3/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (fma.f64 3 (sqrt.f64 -1/3) (/.f64 3/2 (/.f64 (sqrt.f64 -1/3) a))) (*.f64 9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))))
(fma.f64 -3/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3)))))
(+.f64 (*.f64 9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3 (sqrt.f64 -1/3) (/.f64 3/2 (/.f64 (sqrt.f64 -1/3) a)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 -3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 rand (*.f64 1/3 (sqrt.f64 -3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 (*.f64 a a) rand))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (/.f64 (*.f64 -1/6 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) (*.f64 a (*.f64 a rand))))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 (pow.f64 a 3) rand))) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 (*.f64 a a) rand)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (*.f64 (pow.f64 a 3) rand)) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (/.f64 (*.f64 -1/6 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) (*.f64 a (*.f64 a rand)))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (*.f64 1/3 (sqrt.f64 -3)))
(fma.f64 1/3 (sqrt.f64 -3) (/.f64 (*.f64 a -3/2) (sqrt.f64 -3)))
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a a))) (*.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (/.f64 (*.f64 (*.f64 -1/6 (*.f64 a a)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (pow.f64 a 3))) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a a))) (*.f64 1/3 (sqrt.f64 -3)))))
(fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (pow.f64 a 3))) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (/.f64 (*.f64 (*.f64 -1/6 (*.f64 a a)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3)))))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1))
(+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1)))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (/.f64 (*.f64 rand -3/2) (sqrt.f64 -3))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (/.f64 (*.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) 1/18) (/.f64 (sqrt.f64 -3) rand))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (/.f64 (*.f64 rand -3/2) (sqrt.f64 -3))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))))
a
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))) 1)
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) 1)
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 1 (neg.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 9 1/2))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (cbrt.f64 (+.f64 (*.f64 9 a) -3)))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 9 a -3)))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 9 a -3)))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 -1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(*.f64 (pow.f64 9 1/2) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 1 1/2) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (/.f64 1 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))))
(/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) 1) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 9 a -3)))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) 3)
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 9 a -3)))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (sqrt.f64 -1)) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(*.f64 (/.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (sqrt.f64 -1)) (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 -1)) (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) -1) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 9 a -3)) -1) (cbrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1) (cbrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) 1)
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 1 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 1 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))
(/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (/.f64 1 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))))
(/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))
(/.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) (/.f64 -1 (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1 (pow.f64 9 1/2)))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 3 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (/.f64 1 (cbrt.f64 (+.f64 (*.f64 9 a) -3))))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 9 a -3)))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a 9 -3)))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 1/4)))
(/.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))))
(/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(/.f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))
(/.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))
(/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) (/.f64 -1 (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 9 a -3)))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (+.f64 (/.f64 (*.f64 rand rand) (*.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (+.f64 (*.f64 9 a) -3))) 1))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))) (+.f64 1 (/.f64 (/.f64 (*.f64 rand rand) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))) (fma.f64 9 a -3))))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))) (fma.f64 (/.f64 rand (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))) (/.f64 rand (fma.f64 a 9 -3)) 1))
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) rand))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 rand (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1)
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand -1))
(*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))
(/.f64 (sqrt.f64 rand) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (sqrt.f64 rand)))
(*.f64 (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (sqrt.f64 rand))
(/.f64 (*.f64 (sqrt.f64 rand) (sqrt.f64 rand)) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (cbrt.f64 rand) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (pow.f64 (cbrt.f64 rand) 2)))
(/.f64 (cbrt.f64 rand) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))) (pow.f64 (cbrt.f64 rand) 2)))
(*.f64 (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (pow.f64 (cbrt.f64 rand) 2) 3))
(/.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (sqrt.f64 rand)) (cbrt.f64 (sqrt.f64 rand))))
(/.f64 (cbrt.f64 rand) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 (cbrt.f64 (sqrt.f64 rand)) (sqrt.f64 rand))))
(/.f64 (*.f64 (cbrt.f64 rand) (cbrt.f64 (sqrt.f64 rand))) (*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 rand)) 3))
(/.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (cbrt.f64 rand)) (cbrt.f64 rand)))
(/.f64 (cbrt.f64 rand) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))) (pow.f64 (cbrt.f64 rand) 2)))
(*.f64 (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (pow.f64 (cbrt.f64 rand) 2) 3))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (cbrt.f64 rand)))
(/.f64 (cbrt.f64 rand) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))) (pow.f64 (cbrt.f64 rand) 2)))
(*.f64 (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (pow.f64 (cbrt.f64 rand) 2) 3))
(/.f64 -1 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3) rand))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (sqrt.f64 rand)) (sqrt.f64 (cbrt.f64 rand))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (sqrt.f64 rand) 3))) (sqrt.f64 (cbrt.f64 rand)))
(*.f64 (sqrt.f64 (cbrt.f64 rand)) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 rand)) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (sqrt.f64 rand) 3)))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (cbrt.f64 rand)) (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (cbrt.f64 rand) 3))) (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)))
(/.f64 (*.f64 (fabs.f64 (cbrt.f64 rand)) (fabs.f64 (cbrt.f64 rand))) (*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 rand)) 3))
(/.f64 (sqrt.f64 (sqrt.f64 rand)) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (sqrt.f64 rand)) (sqrt.f64 (sqrt.f64 rand))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 rand)) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (sqrt.f64 rand) 3))) (sqrt.f64 (sqrt.f64 rand)))
(*.f64 (sqrt.f64 (sqrt.f64 rand)) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 rand)) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (sqrt.f64 rand) 3)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))) (/.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (cbrt.f64 rand)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))) (/.f64 3 (cbrt.f64 rand)))))
(/.f64 (*.f64 rand -1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 -1 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 rand 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) (pow.f64 9 1/2))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(/.f64 rand (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 9 a -3))))
(/.f64 rand (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (neg.f64 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))) (cbrt.f64 (+.f64 (*.f64 9 a) -3)))
(/.f64 rand (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 9 a -3))))
(/.f64 rand (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 rand (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 rand (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 rand (pow.f64 1 1/2)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 rand (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1/2))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (*.f64 rand -1) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 rand -1) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 rand -1) (sqrt.f64 (+.f64 a -1/3))) -3)
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 rand -1) (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))
(/.f64 rand (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 9 a -3))))
(/.f64 rand (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (*.f64 rand -1) -1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 rand -1) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 rand -1) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 rand -1) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 rand -1) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 rand -1) (neg.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(/.f64 rand (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 9 a -3))))
(/.f64 rand (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (*.f64 -1 rand) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 -1 rand) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 -1 rand) (sqrt.f64 (+.f64 a -1/3))) -3)
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
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(/.f64 rand (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 9 a -3))))
(/.f64 rand (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (*.f64 -1 rand) -1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
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(/.f64 (/.f64 (*.f64 -1 rand) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 -1 rand) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
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(/.f64 (/.f64 (*.f64 -1 rand) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 -1 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
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(/.f64 rand (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 9 a -3))))
(/.f64 rand (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (/.f64 rand 1) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (/.f64 rand 1) 3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
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(/.f64 (/.f64 (/.f64 rand 1) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3))))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 1 1/2)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1/2))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) 1) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
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(/.f64 (/.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 3))
(/.f64 (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)) (*.f64 (sqrt.f64 3) (sqrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 3)))
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(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
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(/.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3))) (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3))) (+.f64 1 (*.f64 rand (-.f64 (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
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(*.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (*.f64 (+.f64 a 1/3) (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))) (fma.f64 a a -1/9))
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(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
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(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3)) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 a -1/3)) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3))) (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3))) (+.f64 1 (*.f64 rand (-.f64 (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (+.f64 a (-.f64 -1/3 (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))
(/.f64 (-.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))))) (-.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a))))) (+.f64 -1/3 (-.f64 a (*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))))))
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(/.f64 (+.f64 (pow.f64 (+.f64 -1/3 a) 3) (pow.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))) 3)) (+.f64 (pow.f64 (+.f64 -1/3 a) 2) (-.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))) (*.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 -1/3 a) 3) (pow.f64 (*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))) 3)) (+.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 rand (-.f64 (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (*.f64 (+.f64 a 1/3) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
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(*.f64 (fma.f64 a a -1/9) (/.f64 (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)))) (+.f64 a 1/3)) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) (*.f64 (+.f64 a 1/3) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (*.f64 (+.f64 a 1/3) (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))) (fma.f64 a a -1/9))
(*.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (*.f64 (+.f64 a 1/3) (+.f64 1 (*.f64 rand (-.f64 (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
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(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))
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(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
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(*.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)))) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (fma.f64 a a -1/9)) (*.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (+.f64 a 1/3)))
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(/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (/.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a))))))
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(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) 1) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
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(*.f64 (+.f64 -1/3 a) (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (sqrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (sqrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
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(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (cbrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))) (cbrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
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(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) 1) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
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(/.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3))) (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3))) (+.f64 1 (*.f64 rand (-.f64 (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))))
(/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))))
(/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3)) 1) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3)) (sqrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (sqrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (cbrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))) (cbrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
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(*.f64 (+.f64 -1/3 a) (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 a -1/3)) 1) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
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(/.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3))) (+.f64 1 (*.f64 rand (-.f64 (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 a -1/3)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))
(/.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3))) (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3))) (+.f64 1 (*.f64 rand (-.f64 (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))
(/.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3))) (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3))) (+.f64 1 (*.f64 rand (-.f64 (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (+.f64 a 1/3)) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(*.f64 (fma.f64 a a -1/9) (/.f64 (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)))) (+.f64 a 1/3)) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) (+.f64 a 1/3)) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (*.f64 (+.f64 a 1/3) (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))) (fma.f64 a a -1/9))
(*.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (*.f64 (+.f64 a 1/3) (+.f64 1 (*.f64 rand (-.f64 (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(*.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)))) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (/.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a))))))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (+.f64 1 (*.f64 rand (-.f64 (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (fma.f64 a a -1/9)) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(*.f64 (fma.f64 a a -1/9) (/.f64 (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)))) (+.f64 a 1/3)) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(*.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)))) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (fma.f64 a a -1/9)) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (+.f64 a 1/3))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (*.f64 (+.f64 a 1/3) (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))) (fma.f64 a a -1/9))
(*.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (*.f64 (+.f64 a 1/3) (+.f64 1 (*.f64 rand (-.f64 (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (/.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a))))))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (+.f64 1 (*.f64 rand (-.f64 (/.f64 (*.f64 rand 1/9) (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 1)
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 2)
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 3)
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 3) 1/3)
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 -1/3 a) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) rand 1)) 2))
(fabs.f64 (*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))))
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) 3))
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 3)))
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 1))
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))))
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) 1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)) (cbrt.f64 (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)) (cbrt.f64 (+.f64 -1/3 a)) (*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))))

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 9 a) -3)
0.0b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
0.2b
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))
0.4b
(sqrt.f64 (+.f64 (*.f64 9 a) -3))
Compiler

Compiled 57 to 44 computations (22.8% saved)

series9.0ms (0.1%)

Counts
4 → 50
Calls

18 calls:

TimeVariablePointExpression
1.0ms
rand
@0
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))
1.0ms
a
@inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
1.0ms
a
@-inf
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))
1.0ms
a
@inf
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))
1.0ms
a
@0
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))

rewrite117.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1298×distribute-lft-in
1258×associate-/r*
836×associate-/l*
438×associate-/r/
352×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01678
135376
2464176
Stop Event
node limit
Counts
4 → 247
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 9 a) -3))
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
(+.f64 (*.f64 9 a) -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (pow.f64 (fma.f64 9 a -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (sqrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9)) (sqrt.f64 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3))))))))
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(*.f64 9 a)) 2) (cbrt.f64 (*.f64 9 a)) -3)))))

simplify193.0ms (1.5%)

Algorithm
egg-herbie
Rules
1204×associate-+r+
1156×+-commutative
698×associate-*r*
592×associate-*l*
568×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069113759
1186413183
2754513183
Stop Event
node limit
Counts
297 → 391
Calls
Call 1
Inputs
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
-3
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3)))) 1)
(*.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 9 a -3)))
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (pow.f64 (fma.f64 9 a -3) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (fma.f64 9 a -3)))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 9 a -3)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 1/2))
(/.f64 (sqrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (sqrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9)) (sqrt.f64 (fma.f64 9 a 3)))
(pow.f64 (fma.f64 9 a -3) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) 3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 9 a -3)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3))))
(+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 0)
(+.f64 1 (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))
(-.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) 1))
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)
(*.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)
(*.f64 (neg.f64 rand) (/.f64 -1 (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (/.f64 -1 (sqrt.f64 (fma.f64 9 a -3))) (neg.f64 rand))
(*.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 rand))
(*.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (fma.f64 9 a -3))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (fma.f64 9 a -3) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 9 a -3) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 rand))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9))) (sqrt.f64 (fma.f64 9 a 3)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(*.f64 (/.f64 (/.f64 rand 1) (sqrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))))
(*.f64 (/.f64 (/.f64 rand 1) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9))) (sqrt.f64 (fma.f64 9 a 3)))
(pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)
(pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) -1)
(pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3) 1/3)
(neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(sqrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))
(log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))
(expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(+.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))))
(+.f64 a (+.f64 -1/3 (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1)))
(+.f64 a (*.f64 1 (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))
(+.f64 -1/3 (+.f64 a (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))))
(+.f64 -1/3 (+.f64 a (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1)))
(+.f64 -1/3 (*.f64 1 (+.f64 a (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1))
(+.f64 (+.f64 a -1/3) (*.f64 1 (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1)))
(+.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(+.f64 (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))) a)
(+.f64 (+.f64 a (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))) -1/3)
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) a) (+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3) (+.f64 a -1/3)))
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3) (+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) a) (+.f64 a -1/3)))
(+.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a) (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3))
(+.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3) (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a))
(+.f64 (*.f64 a (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)))
(+.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 (*.f64 a (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)))
(+.f64 (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1) (+.f64 a -1/3))
(+.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(+.f64 (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(+.f64 (+.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) a)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))
(+.f64 (+.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) a))
(+.f64 (+.f64 (+.f64 a -1/3) (*.f64 a (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (*.f64 -1/3 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(+.f64 (+.f64 (+.f64 a -1/3) (*.f64 -1/3 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (*.f64 a (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(+.f64 (*.f64 1 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a)) (*.f64 1 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3)))
(+.f64 (*.f64 1 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3)) (*.f64 1 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a)))
(+.f64 (*.f64 1 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) (*.f64 1 (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))
(+.f64 (*.f64 1 (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) (*.f64 1 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (-.f64 1 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))))
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (-.f64 1 (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1)))
(-.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (-.f64 (/.f64 1/9 (+.f64 a 1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))))
(-.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (-.f64 (/.f64 1/9 (+.f64 a 1/3)) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1)))
(-.f64 (+.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) (exp.f64 (log.f64 (+.f64 2/3 a)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) (/.f64 a (/.f64 (+.f64 a 1/3) a))) (/.f64 1/9 (+.f64 a 1/3)))
(/.f64 (+.f64 a -1/3) (/.f64 1 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(/.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))))
(/.f64 (fma.f64 a a -1/9) (/.f64 (*.f64 (+.f64 a 1/3) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))))
(/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)))
(/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a 1/3)) (fma.f64 a a -1/9)))
(/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)) (+.f64 a -1/3)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)) (+.f64 a 1/3)) (fma.f64 a a -1/9)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))
(/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 -1/27 (pow.f64 a 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (+.f64 a 1/3))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 a -1/3)) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 a (-.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (*.f64 (+.f64 a 1/3) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a 1/3)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (fma.f64 a a -1/9)) (*.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)) (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) 1) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (sqrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (sqrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (cbrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) 1) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (sqrt.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))) (sqrt.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (*.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))) (cbrt.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))))) (cbrt.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (+.f64 a -1/3)) 1) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (+.f64 a -1/3)) (sqrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (sqrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (cbrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 a -1/3)) 1) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 a -1/3)) (sqrt.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))) (sqrt.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))) (cbrt.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))))) (cbrt.f64 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (+.f64 a 1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (+.f64 a 1/3)) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (fma.f64 a a -1/9)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (fma.f64 a a -1/9)) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))
(fma.f64 (+.f64 a -1/3) 1 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))
(fma.f64 1 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9 a -3))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 9 a))) 4)
(-.f64 (/.f64 (*.f64 (*.f64 a a) 81) (fma.f64 9 a 3)) (/.f64 9 (fma.f64 9 a 3)))
(-.f64 (+.f64 -3 (exp.f64 (log1p.f64 (*.f64 9 a)))) 1)
(*.f64 (fma.f64 9 a -3) 1)
(*.f64 (sqrt.f64 (fma.f64 9 a -3)) (sqrt.f64 (fma.f64 9 a -3)))
(*.f64 1 (fma.f64 9 a -3))
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 2)))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 2)) (cbrt.f64 (fma.f64 9 a -3)))
(*.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (/.f64 1 (fma.f64 9 a 3)))
(*.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (/.f64 1 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (fma.f64 9 a -3) 1/4)) (pow.f64 (fma.f64 9 a -3) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (/.f64 1 (fma.f64 9 a 3)) (+.f64 (*.f64 (*.f64 a a) 81) -9))
(*.f64 (/.f64 1 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))) (+.f64 -27 (*.f64 729 (pow.f64 a 3))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (+.f64 (*.f64 (*.f64 a a) 81) -9)) (fma.f64 9 a -3))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (-.f64 (*.f64 729 (pow.f64 a 3)) -27)) (+.f64 (*.f64 (*.f64 a a) 81) (+.f64 9 (*.f64 a -27))))
(*.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (-.f64 (*.f64 (*.f64 (*.f64 a a) 81) (*.f64 (*.f64 a a) 81)) (*.f64 (-.f64 9 (*.f64 a -27)) (-.f64 9 (*.f64 a -27))))) (+.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (*.f64 a -27)))
(*.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (+.f64 (pow.f64 (*.f64 (*.f64 a a) 81) 3) (pow.f64 (-.f64 9 (*.f64 a -27)) 3))) (+.f64 (*.f64 (*.f64 (*.f64 a a) 81) (*.f64 (*.f64 a a) 81)) (-.f64 (*.f64 (-.f64 9 (*.f64 a -27)) (-.f64 9 (*.f64 a -27))) (*.f64 (*.f64 (*.f64 a a) 81) (-.f64 9 (*.f64 a -27))))))
(/.f64 1 (/.f64 1 (fma.f64 9 a -3)))
(/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (fma.f64 9 a 3))
(/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27))))
(/.f64 (sqrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (/.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27))) (sqrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9)) (/.f64 (fma.f64 9 a 3) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (cbrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))))) (/.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27))) (cbrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9)) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9))) (/.f64 (fma.f64 9 a 3) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9))))
(/.f64 (-.f64 9 (*.f64 (*.f64 a a) 81)) (-.f64 -3 (*.f64 9 a)))
(/.f64 (-.f64 (*.f64 (*.f64 729 (pow.f64 a 3)) (*.f64 729 (pow.f64 a 3))) 729) (*.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27))) (-.f64 (*.f64 729 (pow.f64 a 3)) -27)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) 81) (*.f64 (*.f64 a a) 81)) 81) (*.f64 (fma.f64 9 a 3) (+.f64 9 (*.f64 (*.f64 a a) 81))))
(/.f64 (+.f64 -19683 (pow.f64 (*.f64 729 (pow.f64 a 3)) 3)) (*.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27))) (+.f64 (*.f64 (*.f64 729 (pow.f64 a 3)) (*.f64 729 (pow.f64 a 3))) (-.f64 729 (*.f64 (*.f64 729 (pow.f64 a 3)) -27)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a a) 81) 3) 729) (*.f64 (fma.f64 9 a 3) (+.f64 (*.f64 (*.f64 (*.f64 a a) 81) (*.f64 (*.f64 a a) 81)) (+.f64 81 (*.f64 (*.f64 (*.f64 a a) 81) 9)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9)) (neg.f64 (fma.f64 9 a 3)))
(/.f64 (neg.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (neg.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) 1) (fma.f64 9 a 3))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (sqrt.f64 (fma.f64 9 a 3))) (sqrt.f64 (fma.f64 9 a 3)))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (*.f64 (cbrt.f64 (fma.f64 9 a 3)) (cbrt.f64 (fma.f64 9 a 3)))) (cbrt.f64 (fma.f64 9 a 3)))
(/.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) 1) (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27))))
(/.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (sqrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27))))) (sqrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))))
(/.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (*.f64 (cbrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))) (cbrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))))) (cbrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))))
(pow.f64 (fma.f64 9 a -3) 1)
(pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))
(log.f64 (exp.f64 (fma.f64 9 a -3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 a -3))))
(cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3))
(expm1.f64 (log1p.f64 (fma.f64 9 a -3)))
(exp.f64 (log.f64 (fma.f64 9 a -3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(fma.f64 1 (*.f64 9 a) -3)
(fma.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 a) 3) -3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2) (cbrt.f64 (*.f64 9 a)) -3)
Outputs
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)))
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (*.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3))))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))))
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))))
(+.f64 (*.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3))) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (/.f64 -1/2 (/.f64 (sqrt.f64 -1/3) (*.f64 a rand))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 rand (*.f64 a a)))) (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 (*.f64 -1/2 (*.f64 a (*.f64 a rand))) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 rand (*.f64 a a)))) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (+.f64 9 (/.f64 (*.f64 1/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a (*.f64 a rand))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 (*.f64 (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9) (*.f64 (pow.f64 a 3) rand))) (sqrt.f64 -1/3)))))
(*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 -1/3 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a (+.f64 -1/3 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (+.f64 -1/3 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (*.f64 a a) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a (fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 9 (/.f64 (*.f64 1/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (pow.f64 (sqrt.f64 -1/3) 2))))) (*.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (+.f64 -1/3 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 1/6 (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)))) (fma.f64 (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (*.f64 a a) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (+.f64 a (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)))) -1/3)
(+.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (+.f64 a (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)))) -1/3)
(+.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (+.f64 a (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)))) -1/3)
(+.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) a))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (+.f64 a (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)))) -1/3)
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(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 6561) -81) (*.f64 (fma.f64 9 a 3) (+.f64 9 (*.f64 a (*.f64 a 81)))))
(/.f64 (fma.f64 (pow.f64 a 4) 6561 -81) (*.f64 (fma.f64 a 9 3) (fma.f64 a (*.f64 a 81) 9)))
(/.f64 (+.f64 -19683 (pow.f64 (*.f64 729 (pow.f64 a 3)) 3)) (*.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27))) (+.f64 (*.f64 (*.f64 729 (pow.f64 a 3)) (*.f64 729 (pow.f64 a 3))) (-.f64 729 (*.f64 (*.f64 729 (pow.f64 a 3)) -27)))))
(/.f64 (+.f64 -19683 (*.f64 387420489 (pow.f64 (pow.f64 a 3) 3))) (*.f64 (+.f64 9 (-.f64 (*.f64 a (*.f64 a 81)) (*.f64 a -27))) (+.f64 (*.f64 531441 (*.f64 (pow.f64 a 3) (pow.f64 a 3))) (-.f64 729 (*.f64 -27 (*.f64 (pow.f64 a 3) 729))))))
(/.f64 (fma.f64 387420489 (pow.f64 (pow.f64 a 3) 3) -19683) (*.f64 (+.f64 9 (*.f64 a (-.f64 (*.f64 a 81) -27))) (-.f64 (fma.f64 531441 (pow.f64 a 6) 729) (*.f64 (pow.f64 a 3) -19683))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a a) 81) 3) 729) (*.f64 (fma.f64 9 a 3) (+.f64 (*.f64 (*.f64 (*.f64 a a) 81) (*.f64 (*.f64 a a) 81)) (+.f64 81 (*.f64 (*.f64 (*.f64 a a) 81) 9)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 a 81)) 3) -729) (*.f64 (fma.f64 9 a 3) (+.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 6561) (+.f64 81 (*.f64 (*.f64 a a) 729)))))
(/.f64 (fma.f64 531441 (pow.f64 a 6) -729) (*.f64 (fma.f64 a 9 3) (fma.f64 (pow.f64 a 4) 6561 (fma.f64 (*.f64 a a) 729 81))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9)) (neg.f64 (fma.f64 9 a 3)))
(/.f64 (-.f64 9 (*.f64 a (*.f64 a 81))) (+.f64 -3 (*.f64 -9 a)))
(*.f64 1 (/.f64 (fma.f64 a (*.f64 a 81) -9) (fma.f64 a 9 3)))
(/.f64 (neg.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (neg.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))))
(/.f64 (+.f64 27 (neg.f64 (*.f64 (pow.f64 a 3) 729))) (+.f64 -9 (neg.f64 (-.f64 (*.f64 a (*.f64 a 81)) (*.f64 a -27)))))
(/.f64 (+.f64 27 (*.f64 (pow.f64 a 3) -729)) (-.f64 -9 (*.f64 a (-.f64 (*.f64 a 81) -27))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) 1) (fma.f64 9 a 3))
(*.f64 (fma.f64 (*.f64 a a) 81 -9) (/.f64 1 (fma.f64 9 a 3)))
(/.f64 (fma.f64 a (*.f64 a 81) -9) (fma.f64 a 9 3))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (sqrt.f64 (fma.f64 9 a 3))) (sqrt.f64 (fma.f64 9 a 3)))
(*.f64 (fma.f64 (*.f64 a a) 81 -9) (/.f64 1 (fma.f64 9 a 3)))
(/.f64 (fma.f64 a (*.f64 a 81) -9) (fma.f64 a 9 3))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (*.f64 (cbrt.f64 (fma.f64 9 a 3)) (cbrt.f64 (fma.f64 9 a 3)))) (cbrt.f64 (fma.f64 9 a 3)))
(*.f64 (fma.f64 (*.f64 a a) 81 -9) (/.f64 1 (fma.f64 9 a 3)))
(/.f64 (fma.f64 a (*.f64 a 81) -9) (fma.f64 a 9 3))
(/.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) 1) (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27))))
(*.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729)) (/.f64 1 (+.f64 9 (-.f64 (*.f64 a (*.f64 a 81)) (*.f64 a -27)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (*.f64 a (-.f64 (*.f64 a 81) -27))))
(/.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (sqrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27))))) (sqrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))))
(*.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729)) (/.f64 1 (+.f64 9 (-.f64 (*.f64 a (*.f64 a 81)) (*.f64 a -27)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (*.f64 a (-.f64 (*.f64 a 81) -27))))
(/.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (*.f64 (cbrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))) (cbrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))))) (cbrt.f64 (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27)))))
(*.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729)) (/.f64 1 (+.f64 9 (-.f64 (*.f64 a (*.f64 a 81)) (*.f64 a -27)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (*.f64 a (-.f64 (*.f64 a 81) -27))))
(pow.f64 (fma.f64 9 a -3) 1)
(fma.f64 a 9 -3)
(pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)
(fma.f64 a 9 -3)
(pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3)
(fma.f64 a 9 -3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))
(fabs.f64 (fma.f64 a 9 -3))
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)
(fma.f64 a 9 -3)
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))
(fabs.f64 (fma.f64 a 9 -3))
(log.f64 (exp.f64 (fma.f64 9 a -3)))
(fma.f64 a 9 -3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 a -3))))
(fma.f64 a 9 -3)
(cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3))
(fma.f64 a 9 -3)
(expm1.f64 (log1p.f64 (fma.f64 9 a -3)))
(fma.f64 a 9 -3)
(exp.f64 (log.f64 (fma.f64 9 a -3)))
(fma.f64 a 9 -3)
(exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1))
(fma.f64 a 9 -3)
(log1p.f64 (expm1.f64 (fma.f64 9 a -3)))
(fma.f64 a 9 -3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(fma.f64 a 9 -3)
(fma.f64 1 (*.f64 9 a) -3)
(fma.f64 a 9 -3)
(fma.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 a) 3) -3)
(fma.f64 (*.f64 3 (sqrt.f64 a)) (*.f64 3 (sqrt.f64 a)) -3)
(+.f64 -3 (*.f64 9 (*.f64 (sqrt.f64 a) (sqrt.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2) (cbrt.f64 (*.f64 9 a)) -3)
(fma.f64 a 9 -3)

eval666.0ms (5.3%)

Compiler

Compiled 23243 to 18269 computations (21.4% saved)

prune272.0ms (2.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New88910899
Fresh000
Picked101
Done101
Total89110901
Error
0b
Counts
901 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
7.8b
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
17.0b
(-.f64 a 1/3)
0.1b
(+.f64 (+.f64 a (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) -1/3)
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
1.0b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
47.5b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
47.5b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
17.8b
a
Compiler

Compiled 249 to 198 computations (20.5% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 a -1/3))
0.0b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
0.2b
(/.f64 rand (sqrt.f64 (+.f64 a -1/3)))
0.2b
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
Compiler

Compiled 52 to 39 computations (25% saved)

series7.0ms (0.1%)

Counts
4 → 54
Calls

21 calls:

TimeVariablePointExpression
2.0ms
rand
@-inf
(/.f64 rand (sqrt.f64 (+.f64 a -1/3)))
1.0ms
a
@-inf
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
1.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
0.0ms
a
@-inf
(/.f64 rand (sqrt.f64 (+.f64 a -1/3)))
0.0ms
a
@-inf
(sqrt.f64 (+.f64 a -1/3))

rewrite107.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1562×associate-/r*
1308×associate-/l*
544×associate-/r/
404×associate-/l/
312×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01492
131088
2421588
Stop Event
node limit
Counts
4 → 230
Calls
Call 1
Inputs
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
(/.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
(sqrt.f64 (+.f64 a -1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand 3) (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 3 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))))) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) 3) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (cbrt.f64 (+.f64 a -1/3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 rand))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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(expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))))))

simplify154.0ms (1.2%)

Algorithm
egg-herbie
Rules
1028×associate-+r+
976×associate-+l+
854×+-commutative
606×associate-/l*
552×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063013534
1160113048
2625413048
Stop Event
node limit
Counts
284 → 356
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 -3))
(+.f64 (*.f64 rand (sqrt.f64 -3)) (*.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(+.f64 (*.f64 rand (sqrt.f64 -3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (*.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))))
(+.f64 (*.f64 rand (sqrt.f64 -3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))))))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 0)
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(-.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 1))
(*.f64 rand (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1/3))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 -1/3 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3)
(*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))) -1/3)
(*.f64 (/.f64 rand 3) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(*.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (sqrt.f64 rand))
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 1 (/.f64 3 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))))) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
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(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))) (*.f64 (+.f64 a 1/3) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))) (*.f64 (+.f64 a 1/3) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a 1/3)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (fma.f64 a a -1/9)) (*.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))) 1) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))) (sqrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))) 1) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))) (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))) (*.f64 (cbrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (cbrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (+.f64 a -1/3)) 1) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (+.f64 a -1/3)) (sqrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (+.f64 a -1/3)) 1) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (+.f64 a -1/3)) (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (cbrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))) (+.f64 a 1/3)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))) (+.f64 a 1/3)) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (fma.f64 a a -1/9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (fma.f64 a a -1/9)) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))
(fma.f64 (+.f64 a -1/3) 1 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 1 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(*.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))
(pow.f64 (+.f64 a -1/3) 1/2)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 a -1/3)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 -3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) (*.f64 rand (*.f64 1/3 (sqrt.f64 -3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) (/.f64 (*.f64 -1/6 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) (*.f64 a (*.f64 a rand))))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a))))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) (fma.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) (/.f64 (*.f64 -1/6 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) (*.f64 a (*.f64 a rand)))))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 rand (sqrt.f64 -3))
(+.f64 (*.f64 rand (sqrt.f64 -3)) (*.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 rand (sqrt.f64 -3) (*.f64 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) -9/2))
(fma.f64 rand (sqrt.f64 -3) (*.f64 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) -9/2))
(+.f64 (*.f64 rand (sqrt.f64 -3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (*.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 -1/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a)))) (*.f64 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) -9/2)))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) -9/2 (/.f64 (*.f64 (*.f64 -1/2 (*.f64 a (*.f64 a rand))) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3))))
(+.f64 (*.f64 rand (sqrt.f64 -3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))))))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 -1/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a)))) (fma.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) -1/2))))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand))) -1/2 (fma.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) -1/2 (*.f64 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) -9/2))))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1))
(+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3))))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1)))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3))))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 (*.f64 (*.f64 1/18 rand) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3))))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand) (/.f64 1/18 (/.f64 (sqrt.f64 -3) (*.f64 rand (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81))))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 (*.f64 (*.f64 1/18 rand) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)))))
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 0)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 1)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 1))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 (*.f64 9 a) -3)))))
(+.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 rand (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1/3))
(*.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 1/3 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 -1/3 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(*.f64 (+.f64 a -1/3) (/.f64 (fma.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27 1) (+.f64 1 (+.f64 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand) (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))) (+.f64 a 1/3)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (-.f64 1 (/.f64 rand (/.f64 (+.f64 (*.f64 9 a) -3) rand))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (fma.f64 a a -1/9) (/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (+.f64 1/3 a)) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))) (+.f64 a 1/3)) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (*.f64 (+.f64 1/3 a) (-.f64 (+.f64 1 (/.f64 rand (/.f64 (+.f64 (*.f64 9 a) -3) rand))) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (fma.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27 1) (+.f64 1 (+.f64 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand) (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (-.f64 1 (/.f64 rand (/.f64 (+.f64 (*.f64 9 a) -3) rand))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 (+.f64 1 (/.f64 rand (/.f64 (+.f64 (*.f64 9 a) -3) rand))) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)))
(*.f64 (fma.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27 1) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (+.f64 1 (+.f64 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand) (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (fma.f64 a a -1/9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (-.f64 1 (/.f64 rand (/.f64 (+.f64 (*.f64 9 a) -3) rand))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (fma.f64 a a -1/9) (/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (+.f64 1/3 a)) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (-.f64 1 (/.f64 rand (/.f64 (+.f64 (*.f64 9 a) -3) rand))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (fma.f64 a a -1/9)) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (*.f64 (+.f64 1/3 a) (-.f64 (+.f64 1 (/.f64 rand (/.f64 (+.f64 (*.f64 9 a) -3) rand))) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (fma.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27 1) (+.f64 1 (+.f64 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand) (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 (+.f64 1 (/.f64 rand (/.f64 (+.f64 (*.f64 9 a) -3) rand))) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)))
(*.f64 (fma.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27 1) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (+.f64 1 (+.f64 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand) (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 1)
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 2)
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 3)
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 3) 1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 2))
(fabs.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)))))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 3))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 3)))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (+.f64 a -1/3) 1 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) rand))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) rand))
(fma.f64 1 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) rand))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) rand))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 a -1/3))
(*.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))
(pow.f64 (+.f64 a -1/3) 1/2)
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 a -1/3))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 a -1/3))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 a -1/3))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 a -1/3))
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2))
(sqrt.f64 (+.f64 a -1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))
(sqrt.f64 (+.f64 a -1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 a -1/3))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 -1/3 a))
0.3b
(*.f64 1/3 rand)
0.4b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
Compiler

Compiled 24 to 17 computations (29.2% saved)

series4.0ms (0%)

Counts
3 → 20
Calls

12 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
1.0ms
rand
@0
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
0.0ms
a
@inf
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
0.0ms
a
@0
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
0.0ms
rand
@inf
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))

rewrite74.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
982×*-commutative
700×unswap-sqr
592×swap-sqr
434×associate-*r/
396×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
122941
2274741
Stop Event
node limit
Counts
3 → 83
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 rand)
(sqrt.f64 (+.f64 -1/3 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 1/3 rand)) (sqrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 1/3 rand)) (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 -1/3 a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) (exp.f64 (log1p.f64 (*.f64 1/3 rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 rand)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/3 a)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (pow.f64 (+.f64 -1/3 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 1 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (sqrt.f64 (-.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 1/6) (pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (-.f64 -1/3 a)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (cbrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) 1) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) 1) (sqrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/3 a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 -1/3 a))))))))

simplify89.0ms (0.7%)

Algorithm
egg-herbie
Rules
1022×*-commutative
862×distribute-lft-in
838×distribute-rgt-in
838×associate-*r/
726×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02353071
15422883
220512853
369342853
Stop Event
node limit
Counts
103 → 156
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) 1)
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 1/3 rand)) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) 1))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) 3) 1/3)
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/3 rand)) (sqrt.f64 (+.f64 -1/3 a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 -1/3 a) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) (exp.f64 (log1p.f64 (*.f64 1/3 rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1))
(pow.f64 (*.f64 1/3 rand) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 3)
(pow.f64 (pow.f64 (*.f64 1/3 rand) 3) 1/3)
(sqrt.f64 (*.f64 1/9 (*.f64 rand rand)))
(log.f64 (exp.f64 (*.f64 1/3 rand)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 rand))))
(cbrt.f64 (pow.f64 (*.f64 1/3 rand) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 rand)))
(exp.f64 (log.f64 (*.f64 1/3 rand)))
(log1p.f64 (expm1.f64 (*.f64 1/3 rand)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) 1)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (pow.f64 1 1/2))
(*.f64 1 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (pow.f64 (+.f64 -1/3 a) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a)))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 1 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (sqrt.f64 (-.f64 -1/3 a))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) 1/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 1/4))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 1/6) (pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 1/6))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 -1/3 a)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) 1) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) 1) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) 1))
(pow.f64 (+.f64 -1/3 a) 1/2)
(pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 1)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) 3)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 -1/3 a)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 -1/3 a))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 -1/3 a))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 -1/3 a))))
Outputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (/.f64 a (/.f64 (/.f64 (sqrt.f64 -1/3) rand) 1/6)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/8 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/8 (*.f64 (*.f64 a a) (/.f64 rand (sqrt.f64 -1/3))))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/48 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 1/8 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand))))))
(fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/48 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 1/8 (*.f64 (*.f64 a a) (/.f64 rand (sqrt.f64 -1/3)))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(fma.f64 3/8 (*.f64 a (/.f64 a (sqrt.f64 -1/3))) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3/8 (*.f64 a (/.f64 a (sqrt.f64 -1/3))) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) -1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) 1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (*.f64 1/3 rand))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 1/9 (*.f64 a a))))) (sqrt.f64 (-.f64 -1/3 a)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (*.f64 1/3 rand))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 1/3 rand)) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 1/9 (*.f64 a a))))) (sqrt.f64 (-.f64 -1/3 a)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (*.f64 rand (*.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))
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(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (cbrt.f64 (-.f64 -1/3 a)) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (-.f64 -1/3 a))) (cbrt.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (-.f64 -1/3 a))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a))))) (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))))
(pow.f64 (+.f64 -1/3 a) 1/2)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 2)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) 3)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 -1/3 a)))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 -1/3 a))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 -1/3 a))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 -1/3 a))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (-.f64 a 1/3))
0.0b
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
0.3b
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.4b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
Compiler

Compiled 48 to 34 computations (29.2% saved)

series4.0ms (0%)

Counts
4 → 27
Calls

21 calls:

TimeVariablePointExpression
0.0ms
a
@-inf
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
0.0ms
a
@-inf
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.0ms
a
@inf
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.0ms
rand
@-inf
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.0ms
a
@0
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)

rewrite91.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
898×associate-*r/
794×associate-*l/
758×swap-sqr
602×distribute-rgt-in
560×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01176
124276
2317176
Stop Event
node limit
Counts
4 → 155
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
(sqrt.f64 (-.f64 a 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 rand 1/3)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) rand) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) rand) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (-.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) 1/9)) (/.f64 a (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 a (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (exp.f64 (log1p.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))) (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))) (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a))) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (-.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3))) (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (-.f64 (*.f64 1/81 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 rand 3) rand))) (*.f64 (*.f64 a a) (*.f64 (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)) (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))) (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (+.f64 (pow.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 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3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand a)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 1) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))))))

simplify120.0ms (1%)

Algorithm
egg-herbie
Rules
1024×associate-/r/
860×associate-/l/
654×+-commutative
636×associate-+r+
598×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045710184
111729496
250759392
Stop Event
node limit
Counts
182 → 284
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
a
a
a
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 rand 1/3)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 1/3 a)))
(pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) 1/3)
(sqrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 rand (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) rand) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) rand) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (+.f64 1/3 a)))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/3)
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (-.f64 1 a))
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(-.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) 1/9)) (/.f64 a (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) a)))
(-.f64 (+.f64 a (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (exp.f64 (log1p.f64 a))) 1)
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)
(*.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))
(*.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(*.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(*.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
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(pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (neg.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (neg.f64 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(exp.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1/3 a)
(fma.f64 1 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand a)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(*.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 1 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 1) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 1/3 a)))
(pow.f64 (+.f64 a -1/3) 1/2)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 a -1/3)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))
Outputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (/.f64 (*.f64 1/6 (*.f64 rand a)) (sqrt.f64 -1/3)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 1/6 (sqrt.f64 -1/3)) (*.f64 rand a)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (/.f64 (*.f64 1/48 (*.f64 rand (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1/3) 5)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 a 1/2) (/.f64 (sqrt.f64 -1/3) rand)))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 1/2 (/.f64 (sqrt.f64 -1/3) a)) rand))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) -1/8)))
(fma.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) rand)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(fma.f64 1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (*.f64 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) -1/8))))
(fma.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) 1/16 (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) 1/16 (*.f64 (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) rand))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 a (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a (/.f64 (*.f64 1/48 (*.f64 rand (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1/3) 5)))))
(+.f64 (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3)))))
a
a
a
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) rand)) 1/3)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 rand 1/3)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) rand)) 1/3)
(pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(pow.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27))
(sqrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))
(sqrt.f64 (*.f64 rand (*.f64 rand (*.f64 (+.f64 -1/3 a) 1/9))))
(sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 rand (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) rand))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) rand) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) rand) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) rand))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) rand)) (cbrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9))))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 1/3 a)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))) (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) rand)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/3)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/3 a))))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (pow.f64 rand 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 1)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (-.f64 1 a))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 a)) 1) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (expm1.f64 (log1p.f64 a)))
(-.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) 1/9)) (/.f64 a (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) a)))
(-.f64 (*.f64 (/.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) 1/9) (*.f64 (/.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) a))
(/.f64 (-.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))) (*.f64 a a)) (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) a))
(/.f64 (fma.f64 a a (*.f64 rand (*.f64 (*.f64 -1/9 (+.f64 -1/3 a)) rand))) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a))
(-.f64 (+.f64 a (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) 1)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (exp.f64 (log1p.f64 a))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 a)) 1) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (expm1.f64 (log1p.f64 a)))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(*.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(*.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(*.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(*.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(-.f64 (*.f64 (/.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) 1/9) (*.f64 (/.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) a))
(/.f64 (-.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))) (*.f64 a a)) (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) a))
(/.f64 (fma.f64 a a (*.f64 rand (*.f64 (*.f64 -1/9 (+.f64 -1/3 a)) rand))) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 (*.f64 rand rand) (*.f64 (+.f64 -1/3 a) 1/9) (*.f64 a (+.f64 a (*.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a) (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))))
(*.f64 (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))) (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)))
(-.f64 (*.f64 (/.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) 1/9) (*.f64 (/.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) a))
(/.f64 (-.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))) (*.f64 a a)) (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) a))
(/.f64 (fma.f64 a a (*.f64 rand (*.f64 (*.f64 -1/9 (+.f64 -1/3 a)) rand))) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a))
(*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))) (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)))
(/.f64 (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 (*.f64 rand rand) (*.f64 (+.f64 -1/3 a) 1/9) (*.f64 a (+.f64 a (*.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a) (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a))) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (-.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3))) (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))
(*.f64 (/.f64 (-.f64 (*.f64 rand (*.f64 rand (*.f64 (+.f64 -1/3 a) 1/9))) (*.f64 a a)) (-.f64 (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27) (pow.f64 a 3))) (fma.f64 (*.f64 rand rand) (*.f64 (+.f64 -1/3 a) 1/9) (*.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))))
(*.f64 (/.f64 (-.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))) (*.f64 a a)) (-.f64 (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27) (pow.f64 a 3))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (-.f64 (*.f64 1/81 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 rand 3) rand))) (*.f64 (*.f64 a a) (*.f64 (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)) (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))) (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (-.f64 (*.f64 1/81 (*.f64 (pow.f64 (+.f64 -1/3 a) 2) (pow.f64 rand 4))) (*.f64 a (*.f64 a (*.f64 (+.f64 a (*.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (+.f64 a (*.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))))) (-.f64 (*.f64 rand (*.f64 rand (*.f64 (+.f64 -1/3 a) 1/9))) (*.f64 a (+.f64 a (*.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))))
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(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 1) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (+.f64 a -1/3) 1/2)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (+.f64 -1/3 a))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2))
(sqrt.f64 (+.f64 -1/3 a))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))
(sqrt.f64 (+.f64 -1/3 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
0.3b
(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)
0.3b
(/.f64 1/9 (+.f64 a -1/3))
7.7b
(*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))
Compiler

Compiled 70 to 52 computations (25.7% saved)

series5.0ms (0%)

Counts
4 → 48
Calls

18 calls:

TimeVariablePointExpression
1.0ms
rand
@inf
(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)
1.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))
1.0ms
a
@-inf
(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)
1.0ms
a
@-inf
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
0.0ms
a
@inf
(/.f64 1/9 (+.f64 a -1/3))

rewrite126.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1702×associate-*r/
1354×associate-*l/
578×distribute-rgt-in
542×distribute-lft-in
478×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01288
125888
2323488
Stop Event
node limit
Counts
4 → 235
Calls
Call 1
Inputs
(*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))
(/.f64 1/9 (+.f64 a -1/3))
(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) a) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) -1/3) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 a (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))) (*.f64 -1/3 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (/.f64 (*.f64 a (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) a)) (*.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) -1/3)) (*.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 (*.f64 a (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3)))) (*.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) (*.f64 1 (/.f64 (*.f64 a (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) a) 1) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) -1/3) 1) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 a (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))) 1) (*.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 1) (*.f64 (/.f64 (*.f64 a (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (+.f64 -1/27 (pow.f64 a 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) 1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (/.f64 (*.f64 (fma.f64 a a -1/9) 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1/3) (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (*.f64 (fma.f64 a a -1/9) 1/3)) (*.f64 (+.f64 a 1/3) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1/3)) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (neg.f64 (+.f64 -1/27 (pow.f64 a 3)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (fma.f64 a a -1/9))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (+.f64 -1/27 (pow.f64 a 3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 -1/9)) (sqrt.f64 (-.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2)))) (sqrt.f64 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-1/3)))) (cbrt.f64 -1/9)) (cbrt.f64 (-.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) -1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 -1/9)) (sqrt.f64 (-.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1/9) 1) (sqrt.f64 (-.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4)) (sqrt.f64 (sqrt.f64 (+.f64 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(log.f64 (/.f64 1/9 (+.f64 a -1/3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))))

simplify164.0ms (1.3%)

Algorithm
egg-herbie
Rules
1146×associate-/l*
794×associate-*r*
764×associate-*l*
556×*-commutative
506×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063710661
1157010509
2645310433
Stop Event
node limit
Counts
283 → 402
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (*.f64 -1 a)) 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (+.f64 (*.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))
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(*.f64 (/.f64 1 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/9 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 1/9 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(*.f64 (/.f64 1/9 (+.f64 -1/27 (pow.f64 a 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 1 (-.f64 1/3 a)) -1/9)
(*.f64 (/.f64 1/9 (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 1/9 (neg.f64 (+.f64 -1/27 (pow.f64 a 3)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 1/9 (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))
(*.f64 (/.f64 -1/9 (neg.f64 (fma.f64 a a -1/9))) (+.f64 a 1/3))
(*.f64 (/.f64 -1/9 (neg.f64 (+.f64 -1/27 (pow.f64 a 3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (/.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (/.f64 1/9 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1)
(pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 3)
(pow.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3) 1/3)
(pow.f64 (*.f64 (+.f64 a -1/3) 9) -1)
(sqrt.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2)))
(log.f64 (exp.f64 (/.f64 1/9 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/9 (+.f64 a -1/3))))
(exp.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/9 (+.f64 a -1/3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) 1)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 rand -1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (sqrt.f64 -1/9)) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 1 (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 1 (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (*.f64 rand (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4)) (sqrt.f64 1/3)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 rand (cbrt.f64 (*.f64 (+.f64 a -1/3) 9))) (cbrt.f64 1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 -1/3 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (sqrt.f64 -1/9) rand) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (*.f64 rand 1/3) 1) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (*.f64 1/3 rand) 1) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) rand)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) rand)) (cbrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 (*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) rand)) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (cbrt.f64 -1/9) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) rand)) (cbrt.f64 (-.f64 1/3 a)))
(/.f64 (/.f64 (*.f64 rand 1/3) 1) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 rand 1/3) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) 1) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1)
(pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 2)
(pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 3)
(pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 3) 1/3)
(sqrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))
(log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))
(cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3/2) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 1))
(log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4))
(*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1/3)
(*.f64 (pow.f64 1/9 1/2) (pow.f64 (/.f64 1 (+.f64 a -1/3)) 1/2))
(*.f64 (pow.f64 1 1/2) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2))) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1/2))
(*.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 -1/3 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 (sqrt.f64 -1/9) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 1 (sqrt.f64 -1/9)) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) (sqrt.f64 1/3)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1) (cbrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 1/9)) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 -1/9)) (cbrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (pow.f64 1 1/2) -1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 (*.f64 (pow.f64 1 1/2) 1/3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 -1/9)) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 -1/9) 1) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (cbrt.f64 1/3) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (cbrt.f64 1/9) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (cbrt.f64 -1/9) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (-.f64 1/3 a)))
(/.f64 (/.f64 1/3 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 1/3 (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 1/3 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/2)
(pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3/2) 1/3)
(fabs.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3/2))
(expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
Outputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 -1/3))
(*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (/.f64 (*.f64 1/6 (*.f64 rand a)) (sqrt.f64 -1/3)))
(fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 1/48 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(fma.f64 -1 a -1/3)
(-.f64 -1/3 a)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (*.f64 -1 a)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (neg.f64 a)) -1/3)
(fma.f64 (*.f64 a a) -3 (-.f64 -1/3 a))
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (+.f64 (*.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (fma.f64 -9 (pow.f64 a 3) (neg.f64 a))) -1/3)
(+.f64 -1/3 (fma.f64 (*.f64 a a) -3 (fma.f64 (pow.f64 a 3) -9 (neg.f64 a))))
(+.f64 (-.f64 -1/3 a) (*.f64 (*.f64 a a) (+.f64 (*.f64 a -9) -3)))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/243 (pow.f64 a 4)))))
(+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4)))))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
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(/.f64 (*.f64 rand (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1/3) (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a))) rand))
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (sqrt.f64 (+.f64 -1/3 a))) 1/3) (/.f64 rand (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (sqrt.f64 (+.f64 -1/3 a))) 1/3) (/.f64 rand (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (*.f64 rand (*.f64 (fma.f64 a a -1/9) 1/3)) (*.f64 (+.f64 a 1/3) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (/.f64 (+.f64 1/3 a) rand))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (*.f64 rand (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1/3)) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a))) rand))
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (sqrt.f64 (+.f64 -1/3 a))) 1/3) (/.f64 rand (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (sqrt.f64 (+.f64 -1/3 a))) 1/3) (/.f64 rand (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (/.f64 (fma.f64 -1 a -1/3) (neg.f64 (fma.f64 a a -1/9))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (/.f64 (-.f64 -1/3 a) rand) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (sqrt.f64 (+.f64 -3 (*.f64 9 a))) (/.f64 (-.f64 -1/3 a) rand)))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (neg.f64 (+.f64 -1/27 (pow.f64 a 3)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (/.f64 (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))))
(*.f64 (/.f64 (-.f64 1/27 (pow.f64 a 3)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))) (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (*.f64 (sqrt.f64 (+.f64 -3 (*.f64 9 a))) (/.f64 (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a))) rand)))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))
(/.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (/.f64 (fma.f64 -1 a -1/3) (neg.f64 (fma.f64 a a -1/9))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (/.f64 (-.f64 -1/3 a) rand) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (sqrt.f64 (+.f64 -3 (*.f64 9 a))) (/.f64 (-.f64 -1/3 a) rand)))
(/.f64 (*.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) rand) (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (*.f64 (+.f64 1/3 a) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (*.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (+.f64 -1/27 (pow.f64 a 3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (*.f64 1 (*.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) rand) (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (*.f64 (+.f64 1/3 a) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (*.f64 1 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(/.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 -1/9)) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (sqrt.f64 -1/9) (/.f64 (sqrt.f64 (-.f64 1/3 a)) (*.f64 rand (+.f64 -1/3 a))))
(*.f64 (/.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (-.f64 1/3 a))) (sqrt.f64 -1/9))
(/.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))) (/.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a))))) (/.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (cbrt.f64 (+.f64 1/3 a))) (cbrt.f64 (fma.f64 a a -1/9)))
(/.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (/.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))) (/.f64 (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))) (/.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (/.f64 (fma.f64 -1 a -1/3) (neg.f64 (fma.f64 a a -1/9))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (/.f64 (-.f64 -1/3 a) rand) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (sqrt.f64 (+.f64 -3 (*.f64 9 a))) (/.f64 (-.f64 -1/3 a) rand)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (/.f64 (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))))
(*.f64 (/.f64 (-.f64 1/27 (pow.f64 a 3)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))) (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (*.f64 (sqrt.f64 (+.f64 -3 (*.f64 9 a))) (/.f64 (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a))) rand)))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) (-.f64 -1/3 a))
(/.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (/.f64 (fma.f64 -1 a -1/3) (neg.f64 (fma.f64 a a -1/9))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (/.f64 (-.f64 -1/3 a) rand) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (sqrt.f64 (+.f64 -3 (*.f64 9 a))) (/.f64 (-.f64 -1/3 a) rand)))
(/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)))
(/.f64 (*.f64 1 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(/.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(/.f64 (*.f64 1 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)))
(/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 -1/9) (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (sqrt.f64 -1/9) (/.f64 (sqrt.f64 (-.f64 1/3 a)) (*.f64 rand (+.f64 -1/3 a))))
(*.f64 (/.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (-.f64 1/3 a))) (sqrt.f64 -1/9))
(/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)))
(/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (+.f64 -1/3 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (+.f64 -1/3 a)))
(/.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) rand) (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (*.f64 (+.f64 1/3 a) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 1) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) rand) (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (*.f64 (+.f64 1/3 a) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (*.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9))) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))) (/.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a))))) (/.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 -3 (*.f64 9 a)))))
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(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 rand (cbrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) rand)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a)))) (/.f64 rand (fabs.f64 (cbrt.f64 (+.f64 -1/3 a)))))
(pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 1)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 2)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 3)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 3) 1/3)
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))
(sqrt.f64 (/.f64 (*.f64 rand rand) (/.f64 (+.f64 -1/3 a) 1/9)))
(sqrt.f64 (/.f64 rand (/.f64 (-.f64 (/.f64 a 1/9) 3) rand)))
(log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) 3))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3/2) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 3/2) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 3/2) (pow.f64 rand 3)))
(expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))) 1))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))))
(/.f64 rand (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4))
(sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))
(*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))
(*.f64 1/3 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 -1/3 a) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1/3)
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 1/9 1/2) (pow.f64 (/.f64 1 (+.f64 a -1/3)) 1/2))
(*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))))
(*.f64 (pow.f64 1 1/2) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2))) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/81 (pow.f64 (+.f64 -1/3 a) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))))
(*.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (sqrt.f64 (+.f64 1/3 a)) (/.f64 1/3 (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (/.f64 1/3 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (/.f64 1/3 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (/.f64 1/3 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 -1/3 (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (+.f64 -3 (*.f64 9 a))))
(/.f64 (sqrt.f64 -1/9) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 1 (sqrt.f64 -1/9)) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (sqrt.f64 -1/9) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) (sqrt.f64 1/3)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 1/4) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 1/3)))
(*.f64 (/.f64 (sqrt.f64 1/3) (sqrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 1/4))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1) (cbrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (+.f64 -3 (*.f64 9 a))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 1/9)) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 1/9)))
(*.f64 (/.f64 (cbrt.f64 1/9) (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 -1/9)) (cbrt.f64 (-.f64 1/3 a)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (cbrt.f64 (-.f64 1/3 a)) (cbrt.f64 -1/9)))
(*.f64 (/.f64 (cbrt.f64 -1/9) (cbrt.f64 (-.f64 1/3 a))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (cbrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 1/3)))
(*.f64 (/.f64 (cbrt.f64 1/3) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))
(/.f64 (*.f64 (pow.f64 1 1/2) -1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 -1/3 a) 9)))
(/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 9 a))))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (pow.f64 1 1/2) 1/3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 -1/9)) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (sqrt.f64 -1/9) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 -1/9) 1) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (sqrt.f64 -1/9) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 1/4) (/.f64 (sqrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 1/3)))
(*.f64 (/.f64 (sqrt.f64 1/3) (sqrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 1/4))
(/.f64 (*.f64 (cbrt.f64 1/3) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (cbrt.f64 (/.f64 1/9 (+.f64 -1/3 a))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 1/3)))
(*.f64 (/.f64 (cbrt.f64 1/3) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (/.f64 1/9 (+.f64 -1/3 a))))
(/.f64 (*.f64 (cbrt.f64 1/9) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 1/9)))
(*.f64 (/.f64 (cbrt.f64 1/9) (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 -1/9) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (-.f64 1/3 a)))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (cbrt.f64 (-.f64 1/3 a)) (cbrt.f64 -1/9)))
(*.f64 (/.f64 (cbrt.f64 -1/9) (cbrt.f64 (-.f64 1/3 a))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 1/3 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a))))
(/.f64 1/3 (*.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 1/3 (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (/.f64 1/3 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))))
(/.f64 1/3 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a)))))
(pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/2)
(sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))
(pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) 2)
(sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))
(pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 3/2))
(fabs.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 -1/3 a)) 3/2))
(expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))) 1/2))
(sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))

eval966.0ms (7.6%)

Compiler

Compiled 29841 to 22768 computations (23.7% saved)

prune324.0ms (2.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New119531198
Fresh145
Picked101
Done044
Total1197111208
Error
0b
Counts
1208 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
17.0b
(-.f64 a 1/3)
0.1b
(+.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
1.0b
(+.f64 (+.f64 a (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) -1/3)
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
1.0b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
47.5b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
47.5b
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
47.5b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
17.8b
a
Compiler

Compiled 216 to 170 computations (21.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 a -1/3))
0.0b
(+.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
0.3b
(*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))
8.8b
(/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))
Compiler

Compiled 52 to 38 computations (26.9% saved)

series5.0ms (0%)

Counts
3 → 50
Calls

18 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))
1.0ms
a
@-inf
(*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))
1.0ms
a
@inf
(*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))
1.0ms
a
@0
(*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))
0.0ms
rand
@-inf
(*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))

rewrite105.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1232×associate-/r/
1054×distribute-lft-in
1042×associate-/l/
306×add-sqr-sqrt
294×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013105
1296101
24288101
Stop Event
node limit
Counts
3 → 180
Calls
Call 1
Inputs
(/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))
(+.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
Outputs
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simplify162.0ms (1.3%)

Algorithm
egg-herbie
Rules
1158×associate-*r*
898×associate-*l*
846×*-commutative
566×associate-/r*
552×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060115022
1192414410
Stop Event
node limit
Counts
230 → 356
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (/.f64 (sqrt.f64 -1/3) rand))
(+.f64 (*.f64 3 (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 3/2 (/.f64 a (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (*.f64 3 (/.f64 (sqrt.f64 -1/3) rand)) (+.f64 (*.f64 3/2 (/.f64 a (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 -3/8 (/.f64 (pow.f64 a 2) (*.f64 rand (pow.f64 (sqrt.f64 -1/3) 3))))))
(+.f64 (*.f64 3/16 (/.f64 (pow.f64 a 3) (*.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)))) (+.f64 (*.f64 3 (/.f64 (sqrt.f64 -1/3) rand)) (+.f64 (*.f64 3/2 (/.f64 a (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 -3/8 (/.f64 (pow.f64 a 2) (*.f64 rand (pow.f64 (sqrt.f64 -1/3) 3)))))))
(-.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) 1/3)
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a) (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) -1/3))
(+.f64 (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) -1/3) (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) 1)
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(*.f64 1 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) 2) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (*.f64 rand 1/3) (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (-.f64 1/3 a) (*.f64 (/.f64 1 (neg.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) rand))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))) (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 9 (*.f64 rand rand))))) (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3))
(*.f64 (/.f64 (+.f64 a -1/3) 3) (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) rand))
(*.f64 (/.f64 (+.f64 a -1/3) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) rand)
(*.f64 (*.f64 (/.f64 1 (neg.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) rand) (-.f64 1/3 a))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 3) rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 3) rand))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 9 (*.f64 rand rand))))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 3) rand) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (/.f64 (cbrt.f64 (+.f64 a -1/3)) 3) rand))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (sqrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 9 (*.f64 rand rand))))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (neg.f64 rand))
(*.f64 (/.f64 (+.f64 a -1/3) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 rand))
(*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 1)) rand)
(*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(*.f64 (/.f64 (+.f64 a -1/3) (neg.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (neg.f64 rand))
(*.f64 (/.f64 1 (/.f64 3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1 (/.f64 3 (*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (-.f64 1/3 a) (neg.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) rand)
(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (-.f64 (pow.f64 a 3) -1/27)) (+.f64 (*.f64 a a) (+.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (-.f64 1/9 (*.f64 a -1/3)) (-.f64 1/9 (*.f64 a -1/3))))) (+.f64 (fma.f64 a a -1/9) (*.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (-.f64 1/9 (*.f64 a -1/3)) 3))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (*.f64 (-.f64 1/9 (*.f64 a -1/3)) (-.f64 1/9 (*.f64 a -1/3))) (*.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) 3) rand)
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) 3) (neg.f64 (neg.f64 rand)))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) 1) (*.f64 rand 1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) -3) (neg.f64 rand))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) (/.f64 3 (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) (/.f64 3 (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) -1) (neg.f64 (*.f64 rand 1/3)))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 rand))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 9 (*.f64 rand rand))))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 rand))
(pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) 3)
(pow.f64 (*.f64 (/.f64 3 rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) -1)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (+.f64 a -1/3) (neg.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) rand))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))) 1)
(/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 3 (*.f64 1 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))
(/.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))) 1)
(/.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) rand)
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a 1/3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3) (neg.f64 rand))
(/.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) (neg.f64 rand))
(/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 1) rand)
(/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 rand))
(/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand))
(/.f64 (neg.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 rand))
(pow.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 9 (*.f64 rand rand))))
(log.f64 (pow.f64 (exp.f64 (/.f64 3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 3 rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)))
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(expm1.f64 (log1p.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
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(/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (+.f64 a 1/3) (+.f64 a -1/3))) (*.f64 (+.f64 a 1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 3 rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))) (*.f64 (+.f64 a 1/3) 1)) (*.f64 (+.f64 a 1/3) (*.f64 (/.f64 3 rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))))
(/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (+.f64 a 1/3) (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)))) (*.f64 (+.f64 a 1/3) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (/.f64 3 rand)))) (*.f64 (+.f64 a 1/3) (-.f64 1/3 a))) (*.f64 (+.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (/.f64 3 rand)))))
(/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 a -1/3))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (/.f64 3 rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) 1)) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (*.f64 (/.f64 3 rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))))
(/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (/.f64 3 rand)))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 1/3 a))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (/.f64 3 rand)))))
(/.f64 (+.f64 (*.f64 (+.f64 a -1/3) (+.f64 a 1/3)) (*.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))) (fma.f64 a a -1/9))) (*.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a 1/3)))
(/.f64 (+.f64 (*.f64 (+.f64 a -1/3) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (*.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3)))) (*.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (+.f64 a (+.f64 1/3 (*.f64 (*.f64 (/.f64 3 rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) (fma.f64 a a -1/9)))) (*.f64 (*.f64 (/.f64 3 rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) (+.f64 a 1/3)))
(/.f64 (+.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (*.f64 (*.f64 (/.f64 3 rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3)))) (*.f64 (*.f64 (/.f64 3 rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (+.f64 a 1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (fma.f64 a a -1/9))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a 1/3)))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3)))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (+.f64 (*.f64 (-.f64 1/3 a) (+.f64 a 1/3)) (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (/.f64 3 rand))) (fma.f64 a a -1/9))) (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (/.f64 3 rand))) (+.f64 a 1/3)))
(/.f64 (+.f64 (*.f64 (-.f64 1/3 a) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (/.f64 3 rand))) (+.f64 -1/27 (pow.f64 a 3)))) (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (neg.f64 (/.f64 3 rand))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 2) (pow.f64 (+.f64 a -1/3) 2))) (neg.f64 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (-.f64 1/3 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 3) (pow.f64 (+.f64 a -1/3) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 2) (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) 3) (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(pow.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a)) 1)
(pow.f64 (sqrt.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a))) 3)
(pow.f64 (pow.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a)) 2))
(log.f64 (exp.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a)))))
(cbrt.f64 (pow.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a)) 3))
(expm1.f64 (log.f64 (+.f64 2/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a))))
(exp.f64 (log.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a))))
(fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 1 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) 2) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
Outputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 rand (*.f64 (sqrt.f64 -1/3) 1/3))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (/.f64 (*.f64 1/6 a) (/.f64 (sqrt.f64 -1/3) rand)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 -1/24 (*.f64 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) rand))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 -1/24 (*.f64 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) rand) (*.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand)))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) (/.f64 1 rand)))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 3 (/.f64 (sqrt.f64 -1/3) rand))
(+.f64 (*.f64 3 (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 3/2 (/.f64 a (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 3 (/.f64 (sqrt.f64 -1/3) rand) (*.f64 3/2 (/.f64 a (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 3 (/.f64 (sqrt.f64 -1/3) rand) (*.f64 3/2 (/.f64 (/.f64 a (sqrt.f64 -1/3)) rand)))
(+.f64 (*.f64 3 (/.f64 (sqrt.f64 -1/3) rand)) (+.f64 (*.f64 3/2 (/.f64 a (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 -3/8 (/.f64 (pow.f64 a 2) (*.f64 rand (pow.f64 (sqrt.f64 -1/3) 3))))))
(fma.f64 3 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 3/2 (/.f64 a (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -3/8 (/.f64 (*.f64 a a) (*.f64 rand (pow.f64 (sqrt.f64 -1/3) 3))))))
(fma.f64 3 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 3/2 (/.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 -3/8 (/.f64 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) rand))))
(+.f64 (*.f64 3/16 (/.f64 (pow.f64 a 3) (*.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)))) (+.f64 (*.f64 3 (/.f64 (sqrt.f64 -1/3) rand)) (+.f64 (*.f64 3/2 (/.f64 a (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 -3/8 (/.f64 (pow.f64 a 2) (*.f64 rand (pow.f64 (sqrt.f64 -1/3) 3)))))))
(fma.f64 3/16 (/.f64 (/.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 3/2 (/.f64 a (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -3/8 (/.f64 (*.f64 a a) (*.f64 rand (pow.f64 (sqrt.f64 -1/3) 3)))))))
(fma.f64 3/16 (/.f64 (/.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 3/2 (/.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 -3/8 (/.f64 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) rand)))))
(-.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) 1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) -1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) -1/3)
(+.f64 (*.f64 a (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 a (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))))) -1/3)
(+.f64 (fma.f64 -1/24 (*.f64 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) rand) (*.f64 a (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)))))) -1/3)
(+.f64 (fma.f64 -1/24 (*.f64 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) rand) (fma.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a (*.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand)))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) -1/3))
a
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a) (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) -1/3))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) -1/3) (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) 1)
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a))) (*.f64 (cbrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) 2))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) 2) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (*.f64 rand 1/3) (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (-.f64 1/3 a) (*.f64 (/.f64 1 (neg.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) rand))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))) (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)))) (/.f64 (+.f64 -1/3 a) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)))))
(/.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 9 (*.f64 rand rand))))) (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (/.f64 9 (*.f64 rand rand))))) (/.f64 (+.f64 -1/3 a) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)))))
(/.f64 (/.f64 (+.f64 -1/3 a) (cbrt.f64 (*.f64 (+.f64 -1/3 a) (/.f64 9 (*.f64 rand rand))))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (+.f64 a -1/3) 3) (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) rand))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (+.f64 a -1/3) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (*.f64 (/.f64 1 (neg.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) rand) (-.f64 1/3 a))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 3) rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1 (*.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 3)))
(/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 3) rand))
(*.f64 1 (*.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 3)))
(/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 9 (*.f64 rand rand))))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (*.f64 (+.f64 -1/3 a) (/.f64 9 (*.f64 rand rand))))) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)))))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 3) rand) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) 3) (*.f64 rand (/.f64 (cbrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (/.f64 (cbrt.f64 (+.f64 a -1/3)) 3) rand))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand (/.f64 (cbrt.f64 (+.f64 -1/3 a)) 3)))
(*.f64 rand (/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (/.f64 (cbrt.f64 (+.f64 -1/3 a)) 3)) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a))) (*.f64 (cbrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (sqrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (/.f64 (cbrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)))) (/.f64 (cbrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 9 (*.f64 rand rand))))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (*.f64 (+.f64 -1/3 a) (/.f64 9 (*.f64 rand rand))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (/.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (/.f64 9 (*.f64 rand rand)))) (cbrt.f64 (*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a)))))))
(*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) (neg.f64 rand))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (+.f64 a -1/3) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 rand))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 1)) rand)
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 (sqrt.f64 rand) (/.f64 (+.f64 -1/3 a) (/.f64 3 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/3 a) (sqrt.f64 rand)) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 3 (sqrt.f64 rand)))
(*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(/.f64 (*.f64 (+.f64 -1/3 a) (cbrt.f64 rand)) (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (cbrt.f64 rand) (*.f64 (-.f64 (/.f64 a 3) 1/9) (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (+.f64 a -1/3) (neg.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (neg.f64 rand))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 1 (/.f64 3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 1 (/.f64 3 (*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (cbrt.f64 (+.f64 -1/3 a)) (/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) 3) (*.f64 rand (/.f64 (cbrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 1/3 rand))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))))
(*.f64 (*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (*.f64 1/3 rand)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))))
(*.f64 (/.f64 (-.f64 1/3 a) (neg.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) rand)
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(*.f64 (+.f64 -1/3 a) (/.f64 (fma.f64 a a -1/9) (/.f64 (fma.f64 a a -1/9) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (*.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a))) (fma.f64 a a -1/9)) (/.f64 (fma.f64 a a -1/9) (+.f64 -1/3 a)))
(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (-.f64 (pow.f64 a 3) -1/27)) (+.f64 (*.f64 a a) (+.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 (pow.f64 a 3) 1/27) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))) (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a))))
(/.f64 (*.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a))) (*.f64 (fma.f64 a a -1/9) (+.f64 1/9 (*.f64 a (+.f64 -1/3 a))))) (+.f64 (pow.f64 a 3) 1/27))
(*.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (-.f64 1/9 (*.f64 a -1/3)) (-.f64 1/9 (*.f64 a -1/3))))) (+.f64 (fma.f64 a a -1/9) (*.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (-.f64 (*.f64 a (pow.f64 a 3)) (*.f64 (-.f64 1/9 (*.f64 -1/3 a)) (-.f64 1/9 (*.f64 -1/3 a)))) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))) (+.f64 (*.f64 -1/3 a) (fma.f64 a a -1/9)))
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (-.f64 (pow.f64 a 4) (*.f64 (+.f64 1/9 (*.f64 1/3 a)) (+.f64 1/9 (*.f64 1/3 a))))) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 (*.f64 a (+.f64 -1/3 a)) -1/9))
(*.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (-.f64 1/9 (*.f64 a -1/3)) 3))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (*.f64 (-.f64 1/9 (*.f64 a -1/3)) (-.f64 1/9 (*.f64 a -1/3))) (*.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))))
(*.f64 (/.f64 (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 (pow.f64 a 3) -1/27)) (+.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (-.f64 1/9 (*.f64 -1/3 a)) 3))) (+.f64 (*.f64 a (pow.f64 a 3)) (*.f64 (-.f64 1/9 (*.f64 -1/3 a)) (-.f64 (-.f64 1/9 (*.f64 -1/3 a)) (*.f64 a a)))))
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (pow.f64 a 6) (pow.f64 (+.f64 1/9 (*.f64 1/3 a)) 3))) (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 (pow.f64 a 4) (*.f64 (+.f64 1/9 (*.f64 1/3 a)) (-.f64 1/9 (*.f64 a (+.f64 -1/3 a))))))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) 3) rand)
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) 3) (neg.f64 (neg.f64 rand)))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) 1) (*.f64 rand 1/3))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) -3) (neg.f64 rand))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) (/.f64 3 (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 (sqrt.f64 rand) (/.f64 (+.f64 -1/3 a) (/.f64 3 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/3 a) (sqrt.f64 rand)) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 3 (sqrt.f64 rand)))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) (/.f64 3 (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(/.f64 (*.f64 (+.f64 -1/3 a) (cbrt.f64 rand)) (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (cbrt.f64 rand) (*.f64 (-.f64 (/.f64 a 3) 1/9) (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) -1) (neg.f64 (*.f64 rand 1/3)))
(*.f64 (/.f64 (+.f64 -1/3 a) (*.f64 -1 (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 rand -1/3))
(/.f64 (*.f64 (*.f64 rand -1/3) (+.f64 -1/3 a)) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 rand))
(*.f64 (sqrt.f64 rand) (/.f64 (+.f64 -1/3 a) (*.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))))))
(*.f64 (sqrt.f64 rand) (/.f64 (+.f64 -1/3 a) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))) (sqrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 9 (*.f64 rand rand))))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 rand))
(*.f64 (cbrt.f64 rand) (/.f64 (+.f64 -1/3 a) (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (*.f64 (+.f64 -1/3 a) (/.f64 9 (*.f64 rand rand)))))))
(/.f64 (*.f64 (+.f64 -1/3 a) (cbrt.f64 rand)) (*.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (/.f64 9 (*.f64 rand rand)))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))))))
(pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) 2)
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) 3)
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (*.f64 (/.f64 3 rand) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) -1)
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 3) 1/3)
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(neg.f64 (*.f64 (/.f64 (+.f64 a -1/3) (neg.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) rand))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 2))
(sqrt.f64 (pow.f64 (*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))))) 2))
(sqrt.f64 (pow.f64 (*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a)))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (log.f64 (exp.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a))) (log.f64 (exp.f64 (+.f64 -1/3 a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 3))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) 1))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))) 1)
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(/.f64 3 (*.f64 1 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(/.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(/.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) rand)
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 1/3 rand)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a 1/3))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 1/3 a)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 1/3 a))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3) (neg.f64 rand))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(/.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) (neg.f64 rand))
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 1) rand)
(*.f64 3 (*.f64 (/.f64 1 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 rand))
(/.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 (sqrt.f64 rand) (sqrt.f64 rand)))
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(/.f64 (fma.f64 (-.f64 1/3 a) (+.f64 1/3 a) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 (/.f64 -3 rand) (fma.f64 a a -1/9)))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 (/.f64 -3 rand) (+.f64 1/3 a))))
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(/.f64 (fma.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 (/.f64 3 rand) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (*.f64 (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a))) (/.f64 3 rand)) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))
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(/.f64 (fma.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/3 rand)) (+.f64 1/3 a) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (fma.f64 a a -1/9))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a)))
(/.f64 (fma.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 -1/3 a)) (*.f64 (+.f64 -1/3 a) (*.f64 1/3 (*.f64 rand (+.f64 1/3 a))))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a)))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3)))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (fma.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/3 rand)) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))))
(/.f64 (fma.f64 (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
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(/.f64 (fma.f64 (-.f64 1/3 a) (+.f64 1/3 a) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 (/.f64 -3 rand) (fma.f64 a a -1/9)))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 (/.f64 -3 rand) (+.f64 1/3 a))))
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(+.f64 (+.f64 2/3 (fma.f64 (+.f64 -1/3 a) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) a)) -1)
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(cbrt.f64 (pow.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a)) 3))
(+.f64 (+.f64 2/3 (fma.f64 (+.f64 -1/3 a) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) a)) -1)
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(expm1.f64 (log.f64 (+.f64 2/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a))))
(+.f64 (+.f64 2/3 (fma.f64 (+.f64 -1/3 a) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) a)) -1)
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(exp.f64 (log.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a))))
(+.f64 (+.f64 2/3 (fma.f64 (+.f64 -1/3 a) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) a)) -1)
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a))) 1))
(+.f64 (+.f64 2/3 (fma.f64 (+.f64 -1/3 a) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) a)) -1)
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(log1p.f64 (expm1.f64 (+.f64 -1/3 (fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) a))))
(+.f64 (+.f64 2/3 (fma.f64 (+.f64 -1/3 a) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) a)) -1)
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(+.f64 (+.f64 2/3 (fma.f64 (+.f64 -1/3 a) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) a)) -1)
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))))))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a)))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 (+.f64 2/3 (fma.f64 (+.f64 -1/3 a) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) a)) -1)
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(fma.f64 1 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(+.f64 (+.f64 2/3 (fma.f64 (+.f64 -1/3 a) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) a)) -1)
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(+.f64 (+.f64 2/3 (fma.f64 (+.f64 -1/3 a) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) a)) -1)
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 -1/3 a)) (*.f64 rand (/.f64 (+.f64 -1/3 a) (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 -1/3 a)) (*.f64 rand (/.f64 (/.f64 (-.f64 1/3 a) -3) (sqrt.f64 (+.f64 -1/3 a)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) 2) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(+.f64 (+.f64 2/3 (fma.f64 (+.f64 -1/3 a) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) a)) -1)
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (-.f64 a 1/3))
0.3b
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
0.4b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
Compiler

Compiled 26 to 18 computations (30.8% saved)

localize42.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 a -1/3))
0.3b
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
0.4b
(*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
Compiler

Compiled 27 to 20 computations (25.9% saved)

series2.0ms (0%)

Counts
2 → 20
Calls

9 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
0.0ms
a
@inf
(*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
0.0ms
a
@0
(*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
0.0ms
a
@-inf
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
0.0ms
a
@inf
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))

rewrite64.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
974×*-commutative
700×unswap-sqr
590×swap-sqr
448×associate-*r/
396×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
122940
2273840
Stop Event
node limit
Counts
2 → 39
Calls
Call 1
Inputs
(*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) 1/3) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1/3) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) 3) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)))))))

simplify63.0ms (0.5%)

Algorithm
egg-herbie
Rules
1424×associate-/l*
1314×associate-+r+
1274×associate-+l+
1042×associate-/r*
700×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561951
13701745
211651733
341331733
Stop Event
node limit
Counts
59 → 109
Calls
Call 1
Inputs
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 1/3 (sqrt.f64 -1/3)))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))) 1)
(/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (*.f64 1/3 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) 1/3) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1/3) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))) 1))
(pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) 3) 1/3)
(sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))) 1)
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))) 1))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand) 3) 1/3)
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand) 3))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) 3) (pow.f64 rand 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)))
Outputs
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3)))
(fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (*.f64 1/3 (sqrt.f64 -1/3)))
(fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) a)))
(fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))
(fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 a (/.f64 (sqrt.f64 -1/3) 1/6)))
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(fma.f64 -1/24 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) a))) (*.f64 1/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) 1/8)))
(fma.f64 1/3 (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (*.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) 1/8)))
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 1/3 (sqrt.f64 -1/3)))))
(fma.f64 -1/24 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 1/3 (sqrt.f64 -1/3)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 1/3 (sqrt.f64 -1/3)))))
(fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) (fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) 1/48)))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 -1/3))
(*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (/.f64 (*.f64 1/6 a) (/.f64 (sqrt.f64 -1/3) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)) (*.f64 -1/24 (/.f64 (*.f64 (*.f64 a a) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 (*.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) 1/8) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 (*.f64 rand (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) 1/8)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 (*.f64 a a) rand) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 1/8 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 (*.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) 1/8) rand))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/8 (*.f64 rand (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) 1/48)) rand))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))) -1)
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))) 1)
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 1/3 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (*.f64 1/3 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) 1/3)
(*.f64 1/3 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) 1/3) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 1/3 (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 1/3 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1/3) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) 1/3)
(*.f64 1/3 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (/.f64 (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (/.f64 (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) 1/3)
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (*.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))) (*.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (fma.f64 a a -1/9)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))) 1))
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 1) (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 1))
(pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) 1)
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) 2)
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) 3)
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) 3) 1/3)
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))))
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) 3))
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))))
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(sqrt.f64 (fma.f64 a 1/9 -1/27))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))) -1)
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 1/3 rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 1/3 (/.f64 (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) rand)))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 1/3 rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) rand)) 1/3)
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 1/3 rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 1/3 (/.f64 (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) rand)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 1/3 rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) rand)) 1/3)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)) 2)
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)) 3)
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand) 3) 1/3)
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(sqrt.f64 (*.f64 1/9 (*.f64 (*.f64 rand rand) (+.f64 a -1/3))))
(sqrt.f64 (*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) rand))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand))))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand) 3))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) 3) (pow.f64 rand 3)))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))) rand)))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
0.2b
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
0.4b
(sqrt.f64 (*.f64 a 9))
Compiler

Compiled 43 to 31 computations (27.9% saved)

series8.0ms (0.1%)

Counts
3 → 26
Calls

15 calls:

TimeVariablePointExpression
2.0ms
a
@0
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
1.0ms
rand
@0
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
0.0ms
a
@0
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
0.0ms
rand
@inf
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
0.0ms
a
@0
(sqrt.f64 (*.f64 a 9))

rewrite96.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1418×associate-/r*
1122×distribute-lft-in
942×associate-/l*
298×associate-/r/
298×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01463
130261
2399759
Stop Event
node limit
Counts
3 → 189
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a 9))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) (cbrt.f64 (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a 9) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a 9) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a 9) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (*.f64 (sqrt.f64 a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 a 9) 1/4)) (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 rand 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 a) -3)) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) 3) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) (/.f64 (sqrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (*.f64 a 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 3 (sqrt.f64 a))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 3 (sqrt.f64 a)) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 a) rand) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (*.f64 (sqrt.f64 a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))))
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(2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (fma.f64 a a -1/9)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)))) 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(sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))

simplify121.0ms (1%)

Algorithm
egg-herbie
Rules
1376×unswap-sqr
822×associate-/r/
654×associate-+r+
652×associate-+l+
578×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04689561
112489005
245108921
Stop Event
node limit
Counts
215 → 251
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a)))) 1)
(*.f64 (*.f64 3 (sqrt.f64 a)) 1)
(*.f64 1 (*.f64 3 (sqrt.f64 a)))
(*.f64 3 (sqrt.f64 a))
(*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))
(*.f64 (sqrt.f64 a) 3)
(*.f64 (sqrt.f64 a) (pow.f64 9 1/2))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) (cbrt.f64 (*.f64 a 9)))
(*.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))
(*.f64 (pow.f64 9 1/2) (sqrt.f64 a))
(*.f64 (pow.f64 1 1/2) (*.f64 3 (sqrt.f64 a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a 9)) 1/2))
(pow.f64 (*.f64 a 9) 1/2)
(pow.f64 (*.f64 3 (sqrt.f64 a)) 1)
(pow.f64 (pow.f64 (*.f64 a 9) 1/4) 2)
(pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) 3)
(pow.f64 (pow.f64 (*.f64 a 9) 3/2) 1/3)
(fabs.f64 (*.f64 3 (sqrt.f64 a)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 a)))))
(cbrt.f64 (pow.f64 (*.f64 a 9) 3/2))
(expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a))))
(exp.f64 (log.f64 (*.f64 3 (sqrt.f64 a))))
(exp.f64 (*.f64 (log.f64 (*.f64 a 9)) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 a))) 1))
(log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 0)
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))
(-.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(*.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(*.f64 (neg.f64 rand) (/.f64 1 (*.f64 (sqrt.f64 a) -3)))
(*.f64 (/.f64 1 (pow.f64 (*.f64 a 9) 1/4)) (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)))
(*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 rand 3))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 a) -3)) (neg.f64 rand))
(*.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) 3))
(*.f64 (/.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) 3) (sqrt.f64 rand))
(*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) (/.f64 (sqrt.f64 rand) 3))
(*.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (*.f64 a 9) 1/4)))
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(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (+.f64 a -1/3)) 1) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (+.f64 a -1/3)) (sqrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (sqrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 a -1/3)) 1) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 a -1/3)) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) (+.f64 a 1/3)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (+.f64 a 1/3)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (fma.f64 a a -1/9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (fma.f64 a a -1/9)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a)))) 1)
(*.f64 3 (sqrt.f64 a))
(*.f64 (*.f64 3 (sqrt.f64 a)) 1)
(*.f64 3 (sqrt.f64 a))
(*.f64 1 (*.f64 3 (sqrt.f64 a)))
(*.f64 3 (sqrt.f64 a))
(*.f64 3 (sqrt.f64 a))
(*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))
(sqrt.f64 (*.f64 a 9))
(*.f64 (sqrt.f64 a) 3)
(*.f64 3 (sqrt.f64 a))
(*.f64 (sqrt.f64 a) (pow.f64 9 1/2))
(*.f64 3 (sqrt.f64 a))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) (cbrt.f64 (*.f64 a 9)))
(*.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) (cbrt.f64 (*.f64 a 9)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 a 9))) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))
(*.f64 (pow.f64 9 1/2) (sqrt.f64 a))
(*.f64 3 (sqrt.f64 a))
(*.f64 (pow.f64 1 1/2) (*.f64 3 (sqrt.f64 a)))
(*.f64 3 (sqrt.f64 a))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a 9)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 a 9))) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))
(pow.f64 (*.f64 a 9) 1/2)
(sqrt.f64 (*.f64 a 9))
(pow.f64 (*.f64 3 (sqrt.f64 a)) 1)
(*.f64 3 (sqrt.f64 a))
(pow.f64 (pow.f64 (*.f64 a 9) 1/4) 2)
(sqrt.f64 (*.f64 a 9))
(pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) 3)
(*.f64 3 (sqrt.f64 a))
(pow.f64 (pow.f64 (*.f64 a 9) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 a 9) 3/2))
(fabs.f64 (*.f64 3 (sqrt.f64 a)))
(*.f64 3 (sqrt.f64 a))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3))
(*.f64 3 (sqrt.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 a)))))
(*.f64 3 (sqrt.f64 a))
(cbrt.f64 (pow.f64 (*.f64 a 9) 3/2))
(expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a))))
(*.f64 3 (sqrt.f64 a))
(exp.f64 (log.f64 (*.f64 3 (sqrt.f64 a))))
(*.f64 3 (sqrt.f64 a))
(exp.f64 (*.f64 (log.f64 (*.f64 a 9)) 1/2))
(sqrt.f64 (*.f64 a 9))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 a))) 1))
(*.f64 3 (sqrt.f64 a))
(log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 a))))
(*.f64 3 (sqrt.f64 a))
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 0)
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(-.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))) (+.f64 1 (/.f64 (*.f64 (/.f64 rand a) (/.f64 rand 9)) (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))))
(+.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (*.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) (cbrt.f64 (*.f64 (/.f64 rand a) (/.f64 rand 9))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 a))) (cbrt.f64 (*.f64 (/.f64 rand a) (/.f64 rand 9))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) (cbrt.f64 (*.f64 (/.f64 rand a) (/.f64 rand 9))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 a))) (cbrt.f64 (*.f64 (/.f64 rand a) (/.f64 rand 9))))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
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(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
0.2b
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
0.3b
(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)
0.3b
(/.f64 1/9 (+.f64 a -1/3))
Compiler

Compiled 53 to 41 computations (22.6% saved)

series1.0ms (0%)

Counts
1 → 18
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
0.0ms
a
@0
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
0.0ms
a
@inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
0.0ms
rand
@0
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
0.0ms
rand
@inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))

rewrite111.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1200×distribute-rgt-in
1154×distribute-lft-in
758×associate-/r*
504×associate-/r/
340×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01441
130337
2391037
Stop Event
node limit
Counts
1 → 126
Calls
Call 1
Inputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
Outputs
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(sqrt.f64 (+.f64 a -1/3))) rand 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))))

simplify149.0ms (1.2%)

Algorithm
egg-herbie
Rules
1730×associate-*r/
1372×associate-*l/
1176×associate-/r*
684×associate-+r+
668×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03769620
110209194
234419106
Stop Event
node limit
Counts
144 → 190
Calls
Call 1
Inputs
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 a (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 a (+.f64 -1/3 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1)))
(+.f64 a (*.f64 1 (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 a (*.f64 (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) 1))
(+.f64 -1/3 (+.f64 a (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 -1/3 (+.f64 a (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1)))
(+.f64 -1/3 (*.f64 1 (+.f64 a (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 -1/3 (*.f64 (+.f64 a (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) 1))
(+.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1))
(+.f64 (+.f64 a -1/3) (*.f64 1 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1)))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1) 1))
(+.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(+.f64 (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) a)
(+.f64 (+.f64 a (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) -1/3)
(+.f64 (*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) a) (+.f64 (*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) -1/3) (+.f64 a -1/3)))
(+.f64 (*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) -1/3) (+.f64 (*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) a) (+.f64 a -1/3)))
(+.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) a) (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) -1/3))
(+.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) -1/3) (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) a))
(+.f64 (*.f64 a (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 (*.f64 a (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3)))
(+.f64 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1) (+.f64 a -1/3))
(+.f64 (*.f64 a (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (*.f64 -1/3 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))
(+.f64 (*.f64 -1/3 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (*.f64 a (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))
(+.f64 (+.f64 (+.f64 a -1/3) (*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) a)) (*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 (+.f64 (+.f64 a -1/3) (*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) -1/3)) (*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) a))
(+.f64 (+.f64 (+.f64 a -1/3) (*.f64 a (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (*.f64 -1/3 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 (+.f64 a -1/3) (*.f64 -1/3 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (*.f64 a (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (*.f64 1 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) a)) (*.f64 1 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) -1/3)))
(+.f64 (*.f64 1 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) -1/3)) (*.f64 1 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) a)))
(+.f64 (*.f64 1 (*.f64 a (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) (*.f64 1 (*.f64 -1/3 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(+.f64 (*.f64 1 (*.f64 -1/3 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) (*.f64 1 (*.f64 a (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(+.f64 (*.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) a) 1) (*.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) -1/3) 1))
(+.f64 (*.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) -1/3) 1) (*.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) a) 1))
(+.f64 (*.f64 (*.f64 a (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 1) (*.f64 (*.f64 -1/3 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 1))
(+.f64 (*.f64 (*.f64 -1/3 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 1) (*.f64 (*.f64 a (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (-.f64 1 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (-.f64 1 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))
(-.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (-.f64 (/.f64 1/9 (+.f64 a 1/3)) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(-.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (-.f64 (/.f64 1/9 (+.f64 a 1/3)) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1)))
(-.f64 (+.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (exp.f64 (log.f64 (+.f64 2/3 a)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 a (/.f64 (+.f64 a 1/3) a))) (/.f64 1/9 (+.f64 a 1/3)))
(/.f64 (+.f64 a -1/3) (/.f64 1 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))
(/.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))))
(/.f64 (fma.f64 a a -1/9) (/.f64 (*.f64 (+.f64 a 1/3) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3))))
(/.f64 (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand))) (/.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3)))
(/.f64 (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand))) (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a 1/3)) (fma.f64 a a -1/9)))
(/.f64 (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand))) (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3)) (/.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3)) (/.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a 1/3)) (fma.f64 a a -1/9)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3)) (/.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))) (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3))) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (+.f64 a 1/3))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand))) (+.f64 a -1/3)) (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3)) (+.f64 a -1/3)) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a (-.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3))) (*.f64 (+.f64 a 1/3) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a 1/3)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand))) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3)) (fma.f64 a a -1/9)) (*.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))) 1) (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))) (cbrt.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3))) 1) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand))) (+.f64 a -1/3)) 1) (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand))) (+.f64 a -1/3)) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand))) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))) (cbrt.f64 (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3)) (+.f64 a -1/3)) 1) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3)) (+.f64 a -1/3)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3)) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))) (+.f64 a 1/3)) (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3))) (+.f64 a 1/3)) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand))) (fma.f64 a a -1/9)) (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3)) (fma.f64 a a -1/9)) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
Outputs
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1))
(+.f64 -1/3 (*.f64 (*.f64 rand -1/9) (sqrt.f64 -3)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1)))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 rand -1/9) (sqrt.f64 -3))))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (*.f64 a a))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 -3)) -3/2 (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (*.f64 a a) (+.f64 -1/3 (*.f64 (*.f64 rand -1/9) (sqrt.f64 -3)))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (fma.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2)) (*.f64 a a) (+.f64 -1/3 (*.f64 (*.f64 rand -1/9) (sqrt.f64 -3)))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) -1/6)) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (*.f64 a a)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) rand) (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) -1/6)) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 -3)) -3/2 (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (*.f64 a a) (+.f64 -1/3 (*.f64 (*.f64 rand -1/9) (sqrt.f64 -3))))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) rand) (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) -1/6)) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (fma.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2)) (*.f64 a a) (+.f64 -1/3 (*.f64 (*.f64 rand -1/9) (sqrt.f64 -3))))))
a
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand -1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand -1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 a (fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand -1/3))
(+.f64 a (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 a (+.f64 -1/3 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1)))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 a (*.f64 1 (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 a (*.f64 (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 -1/3 (+.f64 a (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 -1/3 (+.f64 a (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1)))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 -1/3 (*.f64 1 (+.f64 a (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 -1/3 (*.f64 (+.f64 a (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (+.f64 a -1/3) (*.f64 1 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1)))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1) 1))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) a)
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (+.f64 a (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))))) -1/3)
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) a) (+.f64 (*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) -1/3) (+.f64 a -1/3)))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) -1/3) (+.f64 (*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) a) (+.f64 a -1/3)))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) a) (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) -1/3))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) -1/3) (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) a))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (*.f64 a (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3)))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 (*.f64 a (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3)))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) 1) (+.f64 a -1/3))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (*.f64 a (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (*.f64 -1/3 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(+.f64 (*.f64 -1/3 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) (*.f64 a (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))
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(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
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(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 3)) (*.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 (+.f64 -1/3 a)) (*.f64 rand rand)) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)))) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a))))) (+.f64 (pow.f64 a 3) -1/27))
(*.f64 (+.f64 1 (pow.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 3)) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (+.f64 1 (-.f64 (*.f64 rand (*.f64 rand (/.f64 1/9 (+.f64 -1/3 a)))) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))))
(*.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3) 3)) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (+.f64 1 (fma.f64 (/.f64 1/9 (+.f64 -1/3 a)) (*.f64 rand rand) (/.f64 -1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 1)
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 2)
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 3)
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 3) 1/3)
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1)) 2))
(fabs.f64 (*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)))))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1)) 3))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) 3)))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))) 1))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand 1))))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (+.f64 -1/3 a) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand 1))

eval884.0ms (7%)

Compiler

Compiled 34476 to 26250 computations (23.9% saved)

prune334.0ms (2.6%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New138151386
Fresh022
Picked101
Done268
Total1384131397
Error
0b
Counts
1397 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
17.0b
(-.f64 a 1/3)
0.1b
(+.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (+.f64 a -1/3))
1.0b
(+.f64 (+.f64 a (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) -1/3)
1.0b
(+.f64 (+.f64 a (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) -1/3)
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
1.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
1.0b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
1.0b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
47.5b
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
47.5b
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
47.5b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
17.8b
a
Compiler

Compiled 240 to 187 computations (22.1% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 -1/3 a))
0.0b
(+.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (+.f64 a -1/3))
0.6b
(/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
Compiler

Compiled 39 to 28 computations (28.2% saved)

series2.0ms (0%)

Counts
2 → 34
Calls

12 calls:

TimeVariablePointExpression
0.0ms
a
@-inf
(/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
0.0ms
a
@-inf
(+.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (+.f64 a -1/3))
0.0ms
a
@inf
(/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
0.0ms
a
@0
(/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
0.0ms
a
@0
(+.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (+.f64 a -1/3))

rewrite127.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1800×associate-/r*
1188×associate-/l*
1090×associate-/r/
298×+-commutative
298×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01358
130354
2426654
Stop Event
node limit
Counts
2 → 185
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand))
(+.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (+.f64 a -1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (neg.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (cbrt.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/3 a)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) (neg.f64 (neg.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 -1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) 1) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) (sqrt.f64 rand)) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1) (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (sqrt.f64 (*.f64 rand 1/3))) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (/.f64 3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 rand)) 2)) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (/.f64 3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) -3) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 rand) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 3) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 1) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 1) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 3) rand) (pow.f64 (+.f64 -1/3 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (pow.f64 (cbrt.f64 (/.f64 3 rand)) 2)) (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (cbrt.f64 (/.f64 3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 -1/3 a)) 3) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 -1/3 a)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (/.f64 3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (/.f64 3 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rand) (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 -3 rand)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (/.f64 -3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 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(+.f64 -1/3 a)) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 -1/3 a) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 -1/3 a)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand (+.f64 -1/3 a))))))

simplify161.0ms (1.3%)

Algorithm
egg-herbie
Rules
1210×+-commutative
1148×associate-+r+
756×associate-*r*
714×*-commutative
696×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058612841
1176112425
2752212425
Stop Event
node limit
Counts
219 → 316
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) 1/3)
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))) 1)
(*.f64 -1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (neg.f64 rand)))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 1)
(*.f64 1 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))
(*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (*.f64 rand 1/3)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (cbrt.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand 1/3)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand)
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) (neg.f64 (neg.f64 rand)))
(*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 -1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) rand))
(*.f64 1/3 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 1 rand)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) 1) rand)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) (sqrt.f64 rand)) (sqrt.f64 rand))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1) (*.f64 rand 1/3))
(*.f64 (*.f64 1 (sqrt.f64 (*.f64 rand 1/3))) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (/.f64 3 rand))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3 rand)) 2)) (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (/.f64 3 rand))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) -3) (neg.f64 rand))
(*.f64 (*.f64 -1/3 rand) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 3) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 1) rand))
(*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 1) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 3) rand))
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 3) rand) (pow.f64 (+.f64 -1/3 a) 1/4))
(*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (pow.f64 (cbrt.f64 (/.f64 3 rand)) 2)) (/.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (cbrt.f64 (/.f64 3 rand))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1/3 a)) 3) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (/.f64 1 rand)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1/3 a)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (/.f64 3 rand)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (/.f64 3 rand))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (/.f64 3 rand))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (/.f64 3 rand)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) -1) (neg.f64 (*.f64 rand 1/3)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) 1) rand)
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) 1) (/.f64 rand 1))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) 3) (neg.f64 rand))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) -1) (*.f64 rand 1/3))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1) 3) rand)
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1) 3) (neg.f64 (neg.f64 rand)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1) 1) (*.f64 rand 1/3))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1) -3) (neg.f64 rand))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (/.f64 3 rand))) 1) (sqrt.f64 (*.f64 rand 1/3)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (/.f64 3 rand))) (sqrt.f64 3)) (sqrt.f64 rand))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (/.f64 3 rand)) 2)) 1) (cbrt.f64 (*.f64 rand 1/3)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (/.f64 3 rand)) 2)) (cbrt.f64 3)) (cbrt.f64 rand))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(*.f64 (/.f64 1 (/.f64 (/.f64 3 rand) (cbrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) (/.f64 1 (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) -1) (neg.f64 rand))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1) (/.f64 3 (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1) (/.f64 3 (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1) -1) (neg.f64 (*.f64 rand 1/3)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (/.f64 3 rand))) (sqrt.f64 -3)) (sqrt.f64 (neg.f64 rand)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (/.f64 3 rand)) 2)) (cbrt.f64 -3)) (cbrt.f64 (neg.f64 rand)))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) 3)
(pow.f64 (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))) -1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) 1/3)
(neg.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 -3 rand)))
(sqrt.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))))
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(/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 -3 rand)) (*.f64 (+.f64 a 1/3) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))) (*.f64 (+.f64 a 1/3) (/.f64 -3 rand)))
(/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 3 rand)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (/.f64 3 rand)))
(/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) 1)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 -3 rand)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (/.f64 -3 rand)))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) (pow.f64 (+.f64 -1/3 a) 3))) (neg.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (sqrt.f64 (+.f64 -1/3 a))) (-.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) 1) (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a)))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (sqrt.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a)))) (sqrt.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a))) (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a))))) (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (+.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))) (-.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) (pow.f64 (+.f64 -1/3 a) 3)) 1) (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) (pow.f64 (+.f64 -1/3 a) 3)) (sqrt.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand)))) (sqrt.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) (pow.f64 (+.f64 -1/3 a) 3)) (*.f64 (cbrt.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand))) (cbrt.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand))))) (cbrt.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand))))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a)) (*.f64 (/.f64 3 rand) (-.f64 1/9 (*.f64 a a)))) (/.f64 3 rand)) (-.f64 -1/3 a))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 a 1/3)) (*.f64 (/.f64 3 rand) (fma.f64 a a -1/9))) (/.f64 3 rand)) (+.f64 a 1/3))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 (/.f64 3 rand) (+.f64 -1/27 (pow.f64 a 3)))) (/.f64 3 rand)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (+.f64 (-.f64 -1/3 a) (*.f64 (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))) (-.f64 1/9 (*.f64 a a)))) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (-.f64 -1/3 a))
(/.f64 (/.f64 (+.f64 a (+.f64 1/3 (*.f64 (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))) (fma.f64 a a -1/9)))) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 a 1/3))
(/.f64 (/.f64 (+.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (*.f64 (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/27 (pow.f64 a 3)))) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (-.f64 -1/3 a)) (*.f64 (/.f64 -3 rand) (-.f64 1/9 (*.f64 a a)))) (/.f64 -3 rand)) (-.f64 -1/3 a))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 a 1/3)) (*.f64 (/.f64 -3 rand) (fma.f64 a a -1/9))) (/.f64 -3 rand)) (+.f64 a 1/3))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 (/.f64 -3 rand) (+.f64 -1/27 (pow.f64 a 3)))) (/.f64 -3 rand)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 3 rand)) (*.f64 (-.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))) (-.f64 -1/3 a)) (/.f64 3 rand))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (-.f64 -1/3 a) 1)) (-.f64 -1/3 a)) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 -3 rand)) (*.f64 (-.f64 -1/3 a) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))) (-.f64 -1/3 a)) (/.f64 -3 rand))
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 3 rand)) (*.f64 (+.f64 a 1/3) (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 a 1/3)) (/.f64 3 rand))
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (+.f64 a 1/3) 1)) (+.f64 a 1/3)) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 -3 rand)) (*.f64 (+.f64 a 1/3) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))) (+.f64 a 1/3)) (/.f64 -3 rand))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 3 rand)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (/.f64 3 rand))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) 1)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 -3 rand)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (/.f64 -3 rand))
(pow.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)) 1)
(pow.f64 (sqrt.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))) 3)
(pow.f64 (pow.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)) 2))
(log.f64 (exp.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)))))
(cbrt.f64 (pow.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)) 3))
(expm1.f64 (log.f64 (+.f64 2/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))))
(exp.f64 (log.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))) 1))
(log1p.f64 (expm1.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) (+.f64 -1/3 a))
(fma.f64 1 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a))
(fma.f64 1 (+.f64 -1/3 a) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (+.f64 -1/3 a))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (+.f64 -1/3 a))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 -1/3 a)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand (+.f64 -1/3 a))
Outputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (*.f64 rand a))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) 1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) -1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 a (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))))) -1/3)
(+.f64 (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) -1/3))
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) -1/3) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5)))))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)))))) -1/3)
(+.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand)))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) -1/3))
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) -1/3) (+.f64 (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand)))))
a
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) (pow.f64 (+.f64 -1/3 a) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) (pow.f64 (+.f64 -1/3 a) 3)))) (/.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) (pow.f64 (+.f64 -1/3 a) 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 3) (pow.f64 (+.f64 -1/3 a) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 3) (pow.f64 (+.f64 -1/3 a) 3)))) (-.f64 (fma.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 rand (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 3) (pow.f64 (+.f64 -1/3 a) 3))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 1/27 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) (pow.f64 (+.f64 -1/3 a) 3))) (/.f64 (cbrt.f64 (+.f64 (*.f64 1/27 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) (pow.f64 (+.f64 -1/3 a) 3))) (/.f64 (-.f64 (fma.f64 (-.f64 (/.f64 a 9) 1/27) (*.f64 rand rand) (pow.f64 (+.f64 -1/3 a) 2)) (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (/.f64 3 rand))) (cbrt.f64 (+.f64 (*.f64 1/27 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) (pow.f64 (+.f64 -1/3 a) 3))))))
(/.f64 (-.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand))) (+.f64 -1/3 (-.f64 a (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))))
(/.f64 (-.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand))) (-.f64 (+.f64 -1/3 a) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (-.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 (-.f64 (/.f64 a 9) 1/27) (*.f64 rand rand))) (-.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)))
(/.f64 (-.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)) 1/9) (-.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a) -1/3))
(/.f64 (fma.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/9) (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 1/3))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a) -1/9) (+.f64 1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a)))
(/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a) 3)) (-.f64 (+.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)) 1/9) (*.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a) -1/3)))
(/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 3)) (-.f64 (fma.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 1/9) (*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))))
(/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a) 3)) (+.f64 (fma.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a) 1/9) (*.f64 1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a)) (*.f64 (/.f64 3 rand) (-.f64 1/9 (*.f64 a a)))) (*.f64 (/.f64 3 rand) (-.f64 -1/3 a)))
(/.f64 (fma.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 3 rand) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a))) (*.f64 (/.f64 3 rand) (-.f64 -1/3 a)))
(*.f64 rand (/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a) (*.f64 (/.f64 3 rand) (-.f64 1/9 (*.f64 a a)))) (*.f64 3 (-.f64 -1/3 a))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 a 1/3)) (*.f64 (/.f64 3 rand) (fma.f64 a a -1/9))) (*.f64 (/.f64 3 rand) (+.f64 a 1/3)))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a) (*.f64 (/.f64 3 rand) (fma.f64 a a -1/9))) (*.f64 (/.f64 3 rand) (+.f64 1/3 a)))
(*.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a) (*.f64 (/.f64 3 rand) (fma.f64 a a -1/9))) 3) (+.f64 1/3 a)) rand)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 (/.f64 3 rand) (+.f64 -1/27 (pow.f64 a 3)))) (*.f64 (/.f64 3 rand) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (*.f64 (/.f64 3 rand) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 (/.f64 3 rand) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(*.f64 rand (/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (fma.f64 a (+.f64 1/3 a) 1/9) (*.f64 (/.f64 3 rand) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 3 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (+.f64 (-.f64 -1/3 a) (*.f64 (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))) (-.f64 1/9 (*.f64 a a)))) (*.f64 (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))) (-.f64 -1/3 a)))
(/.f64 (/.f64 (fma.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (-.f64 -1/3 a)) (-.f64 -1/3 a)) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (-.f64 -1/3 a)) 3) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (+.f64 a (+.f64 1/3 (*.f64 (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))) (fma.f64 a a -1/9)))) (*.f64 (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))) (+.f64 a 1/3)))
(/.f64 (fma.f64 (fma.f64 a a -1/9) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/3 a)) (*.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/3 a)))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (fma.f64 a a -1/9) (+.f64 1/3 a)) (+.f64 1/3 a)) 3) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (+.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (*.f64 (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/27 (pow.f64 a 3)))) (*.f64 (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (fma.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)) (*.f64 (/.f64 3 rand) (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (-.f64 -1/3 a)) (*.f64 (/.f64 -3 rand) (-.f64 1/9 (*.f64 a a)))) (*.f64 (/.f64 -3 rand) (-.f64 -1/3 a)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (-.f64 -1/3 a) (*.f64 (/.f64 -3 rand) (-.f64 1/9 (*.f64 a a)))) (*.f64 (/.f64 -3 rand) (-.f64 -1/3 a)))
(*.f64 rand (/.f64 (-.f64 (/.f64 (*.f64 -3 (-.f64 1/9 (*.f64 a a))) rand) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a))) (*.f64 -3 (-.f64 -1/3 a))))
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 a 1/3)) (*.f64 (/.f64 -3 rand) (fma.f64 a a -1/9))) (*.f64 (/.f64 -3 rand) (+.f64 a 1/3)))
(/.f64 (fma.f64 (fma.f64 a a -1/9) (/.f64 -3 rand) (*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1/3 a))) (*.f64 (/.f64 -3 rand) (+.f64 1/3 a)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 -3 rand) (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a))) -3) (+.f64 1/3 a)) rand)
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 (/.f64 -3 rand) (+.f64 -1/27 (pow.f64 a 3)))) (*.f64 (/.f64 -3 rand) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (*.f64 (/.f64 -3 rand) (+.f64 (pow.f64 a 3) -1/27))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) -3) rand)
(*.f64 rand (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (fma.f64 a (+.f64 1/3 a) 1/9) (*.f64 (/.f64 -3 rand) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 -3 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (+.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 3 rand)) (*.f64 (-.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (-.f64 -1/3 a) (/.f64 3 rand)))
(/.f64 (fma.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 3 rand) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a))) (*.f64 (/.f64 3 rand) (-.f64 -1/3 a)))
(*.f64 rand (/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a) (*.f64 (/.f64 3 rand) (-.f64 1/9 (*.f64 a a)))) (*.f64 3 (-.f64 -1/3 a))))
(/.f64 (+.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (-.f64 -1/3 a) 1)) (*.f64 (-.f64 -1/3 a) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 (fma.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (-.f64 -1/3 a)) (-.f64 -1/3 a)) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (-.f64 -1/3 a)) 3) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (+.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 -3 rand)) (*.f64 (-.f64 -1/3 a) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))) (*.f64 (-.f64 -1/3 a) (/.f64 -3 rand)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (-.f64 -1/3 a) (*.f64 (/.f64 -3 rand) (-.f64 1/9 (*.f64 a a)))) (*.f64 (/.f64 -3 rand) (-.f64 -1/3 a)))
(*.f64 rand (/.f64 (-.f64 (/.f64 (*.f64 -3 (-.f64 1/9 (*.f64 a a))) rand) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a))) (*.f64 -3 (-.f64 -1/3 a))))
(/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 3 rand)) (*.f64 (+.f64 a 1/3) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (+.f64 a 1/3) (/.f64 3 rand)))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a) (*.f64 (/.f64 3 rand) (fma.f64 a a -1/9))) (*.f64 (/.f64 3 rand) (+.f64 1/3 a)))
(*.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a) (*.f64 (/.f64 3 rand) (fma.f64 a a -1/9))) 3) (+.f64 1/3 a)) rand)
(/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (+.f64 a 1/3) 1)) (*.f64 (+.f64 a 1/3) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (fma.f64 (fma.f64 a a -1/9) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/3 a)) (*.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/3 a)))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (fma.f64 a a -1/9) (+.f64 1/3 a)) (+.f64 1/3 a)) 3) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 -3 rand)) (*.f64 (+.f64 a 1/3) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))) (*.f64 (+.f64 a 1/3) (/.f64 -3 rand)))
(/.f64 (fma.f64 (fma.f64 a a -1/9) (/.f64 -3 rand) (*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1/3 a))) (*.f64 (/.f64 -3 rand) (+.f64 1/3 a)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 -3 rand) (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a))) -3) (+.f64 1/3 a)) rand)
(/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 3 rand)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (/.f64 3 rand)))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (*.f64 (/.f64 3 rand) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 (/.f64 3 rand) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(*.f64 rand (/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (fma.f64 a (+.f64 1/3 a) 1/9) (*.f64 (/.f64 3 rand) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 3 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) 1)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (fma.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)) (*.f64 (/.f64 3 rand) (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 -3 rand)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (/.f64 -3 rand)))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (*.f64 (/.f64 -3 rand) (+.f64 (pow.f64 a 3) -1/27))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) -3) rand)
(*.f64 rand (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (fma.f64 a (+.f64 1/3 a) 1/9) (*.f64 (/.f64 -3 rand) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 -3 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a))))
(/.f64 (-.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand))) (-.f64 (+.f64 -1/3 a) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (-.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 (-.f64 (/.f64 a 9) 1/27) (*.f64 rand rand))) (-.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) (pow.f64 (+.f64 -1/3 a) 3))) (neg.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 3) (pow.f64 (+.f64 -1/3 a) 3)) (neg.f64 (-.f64 (fma.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 rand (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3))))))
(*.f64 1 (/.f64 (+.f64 (*.f64 1/27 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) (pow.f64 (+.f64 -1/3 a) 3)) (-.f64 (fma.f64 (-.f64 (/.f64 a 9) 1/27) (*.f64 rand rand) (pow.f64 (+.f64 -1/3 a) 2)) (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (/.f64 3 rand)))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (sqrt.f64 (+.f64 -1/3 a))) (-.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (-.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 a 9) 1/27) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) 1) (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a)))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (-.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 -1/3 a)))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 a 9) 1/27) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (-.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3) a))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (sqrt.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a)))) (sqrt.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a))))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (-.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 -1/3 a)))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 a 9) 1/27) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (-.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3) a))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a))) (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a))))) (cbrt.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a))))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (-.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 -1/3 a)))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 a 9) 1/27) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (-.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3) a))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (+.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))) (-.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (+.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (-.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 a 9) 1/27) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (+.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (-.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) (pow.f64 (+.f64 -1/3 a) 3)) 1) (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand)))
(*.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 3) (pow.f64 (+.f64 -1/3 a) 3)) (/.f64 1 (-.f64 (fma.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 rand (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3)))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) (pow.f64 (+.f64 -1/3 a) 3)) (-.f64 (fma.f64 (-.f64 (/.f64 a 9) 1/27) (*.f64 rand rand) (pow.f64 (+.f64 -1/3 a) 2)) (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (/.f64 3 rand))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) (pow.f64 (+.f64 -1/3 a) 3)) (sqrt.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand)))) (sqrt.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand))))
(*.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 3) (pow.f64 (+.f64 -1/3 a) 3)) (/.f64 1 (-.f64 (fma.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 rand (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3)))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) (pow.f64 (+.f64 -1/3 a) 3)) (-.f64 (fma.f64 (-.f64 (/.f64 a 9) 1/27) (*.f64 rand rand) (pow.f64 (+.f64 -1/3 a) 2)) (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (/.f64 3 rand))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) (pow.f64 (+.f64 -1/3 a) 3)) (*.f64 (cbrt.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand))) (cbrt.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand))))) (cbrt.f64 (-.f64 (+.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3) rand))))
(*.f64 (+.f64 (pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 3) (pow.f64 (+.f64 -1/3 a) 3)) (/.f64 1 (-.f64 (fma.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand) (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 rand (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 3)))))
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3)) (pow.f64 (+.f64 -1/3 a) 3)) (-.f64 (fma.f64 (-.f64 (/.f64 a 9) 1/27) (*.f64 rand rand) (pow.f64 (+.f64 -1/3 a) 2)) (/.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (/.f64 3 rand))))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a)) (*.f64 (/.f64 3 rand) (-.f64 1/9 (*.f64 a a)))) (/.f64 3 rand)) (-.f64 -1/3 a))
(/.f64 (fma.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 3 rand) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a))) (*.f64 (/.f64 3 rand) (-.f64 -1/3 a)))
(*.f64 rand (/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a) (*.f64 (/.f64 3 rand) (-.f64 1/9 (*.f64 a a)))) (*.f64 3 (-.f64 -1/3 a))))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 a 1/3)) (*.f64 (/.f64 3 rand) (fma.f64 a a -1/9))) (/.f64 3 rand)) (+.f64 a 1/3))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a) (*.f64 (/.f64 3 rand) (fma.f64 a a -1/9))) (*.f64 (/.f64 3 rand) (+.f64 1/3 a)))
(*.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a) (*.f64 (/.f64 3 rand) (fma.f64 a a -1/9))) 3) (+.f64 1/3 a)) rand)
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 (/.f64 3 rand) (+.f64 -1/27 (pow.f64 a 3)))) (/.f64 3 rand)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (*.f64 (/.f64 3 rand) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 (/.f64 3 rand) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(*.f64 rand (/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (fma.f64 a (+.f64 1/3 a) 1/9) (*.f64 (/.f64 3 rand) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 3 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (/.f64 (+.f64 (-.f64 -1/3 a) (*.f64 (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))) (-.f64 1/9 (*.f64 a a)))) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (-.f64 -1/3 a))
(/.f64 (/.f64 (fma.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (-.f64 -1/3 a)) (-.f64 -1/3 a)) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (-.f64 -1/3 a)) 3) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (+.f64 a (+.f64 1/3 (*.f64 (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))) (fma.f64 a a -1/9)))) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 a 1/3))
(/.f64 (fma.f64 (fma.f64 a a -1/9) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/3 a)) (*.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/3 a)))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (fma.f64 a a -1/9) (+.f64 1/3 a)) (+.f64 1/3 a)) 3) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (+.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (*.f64 (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/27 (pow.f64 a 3)))) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (fma.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)) (*.f64 (/.f64 3 rand) (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (-.f64 -1/3 a)) (*.f64 (/.f64 -3 rand) (-.f64 1/9 (*.f64 a a)))) (/.f64 -3 rand)) (-.f64 -1/3 a))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (-.f64 -1/3 a) (*.f64 (/.f64 -3 rand) (-.f64 1/9 (*.f64 a a)))) (*.f64 (/.f64 -3 rand) (-.f64 -1/3 a)))
(*.f64 rand (/.f64 (-.f64 (/.f64 (*.f64 -3 (-.f64 1/9 (*.f64 a a))) rand) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a))) (*.f64 -3 (-.f64 -1/3 a))))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 a 1/3)) (*.f64 (/.f64 -3 rand) (fma.f64 a a -1/9))) (/.f64 -3 rand)) (+.f64 a 1/3))
(/.f64 (fma.f64 (fma.f64 a a -1/9) (/.f64 -3 rand) (*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1/3 a))) (*.f64 (/.f64 -3 rand) (+.f64 1/3 a)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 -3 rand) (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a))) -3) (+.f64 1/3 a)) rand)
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 (/.f64 -3 rand) (+.f64 -1/27 (pow.f64 a 3)))) (/.f64 -3 rand)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (*.f64 (/.f64 -3 rand) (+.f64 (pow.f64 a 3) -1/27))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) -3) rand)
(*.f64 rand (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (fma.f64 a (+.f64 1/3 a) 1/9) (*.f64 (/.f64 -3 rand) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 -3 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 3 rand)) (*.f64 (-.f64 -1/3 a) (sqrt.f64 (+.f64 -1/3 a)))) (-.f64 -1/3 a)) (/.f64 3 rand))
(/.f64 (fma.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 3 rand) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a))) (*.f64 (/.f64 3 rand) (-.f64 -1/3 a)))
(*.f64 rand (/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a) (*.f64 (/.f64 3 rand) (-.f64 1/9 (*.f64 a a)))) (*.f64 3 (-.f64 -1/3 a))))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (-.f64 -1/3 a) 1)) (-.f64 -1/3 a)) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (fma.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (-.f64 -1/3 a)) (-.f64 -1/3 a)) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (-.f64 -1/3 a)) 3) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 -3 rand)) (*.f64 (-.f64 -1/3 a) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))) (-.f64 -1/3 a)) (/.f64 -3 rand))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (-.f64 -1/3 a) (*.f64 (/.f64 -3 rand) (-.f64 1/9 (*.f64 a a)))) (*.f64 (/.f64 -3 rand) (-.f64 -1/3 a)))
(*.f64 rand (/.f64 (-.f64 (/.f64 (*.f64 -3 (-.f64 1/9 (*.f64 a a))) rand) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (-.f64 -1/3 a))) (*.f64 -3 (-.f64 -1/3 a))))
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 3 rand)) (*.f64 (+.f64 a 1/3) (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 a 1/3)) (/.f64 3 rand))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a) (*.f64 (/.f64 3 rand) (fma.f64 a a -1/9))) (*.f64 (/.f64 3 rand) (+.f64 1/3 a)))
(*.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a) (*.f64 (/.f64 3 rand) (fma.f64 a a -1/9))) 3) (+.f64 1/3 a)) rand)
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (+.f64 a 1/3) 1)) (+.f64 a 1/3)) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (fma.f64 (fma.f64 a a -1/9) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/3 a)) (*.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/3 a)))
(*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (fma.f64 a a -1/9) (+.f64 1/3 a)) (+.f64 1/3 a)) 3) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (+.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 -3 rand)) (*.f64 (+.f64 a 1/3) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))) (+.f64 a 1/3)) (/.f64 -3 rand))
(/.f64 (fma.f64 (fma.f64 a a -1/9) (/.f64 -3 rand) (*.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1/3 a))) (*.f64 (/.f64 -3 rand) (+.f64 1/3 a)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 -3 rand) (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/3 a))) -3) (+.f64 1/3 a)) rand)
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 3 rand)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (/.f64 3 rand))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (*.f64 (/.f64 3 rand) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 (/.f64 3 rand) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(*.f64 rand (/.f64 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (fma.f64 a (+.f64 1/3 a) 1/9) (*.f64 (/.f64 3 rand) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 3 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) 1)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (/.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (fma.f64 (/.f64 3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)) (*.f64 (/.f64 3 rand) (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 -3 rand)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (/.f64 -3 rand))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (*.f64 (/.f64 -3 rand) (+.f64 (pow.f64 a 3) -1/27))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) -3) rand)
(*.f64 rand (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))) (fma.f64 a (+.f64 1/3 a) 1/9) (*.f64 (/.f64 -3 rand) (+.f64 (pow.f64 a 3) -1/27))) (*.f64 -3 (fma.f64 a (+.f64 1/3 a) 1/9))))
(pow.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)) 1)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(pow.f64 (sqrt.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))) 2)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(pow.f64 (cbrt.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))) 3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(pow.f64 (pow.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)) 3) 1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(sqrt.f64 (pow.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)) 2))
(sqrt.f64 (pow.f64 (+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)) 2))
(fabs.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a)))
(log.f64 (exp.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)))))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(cbrt.f64 (pow.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a)) 3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(expm1.f64 (log.f64 (+.f64 2/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(exp.f64 (log.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(exp.f64 (*.f64 (log.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))) 1))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(log1p.f64 (expm1.f64 (+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) a))))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3) (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(fma.f64 1 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(fma.f64 1 (+.f64 -1/3 a) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (+.f64 -1/3 a))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 -1/3 a) 9) (*.f64 rand rand))) (cbrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (+.f64 -1/3 a))
(fma.f64 (cbrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (*.f64 (-.f64 (/.f64 a 9) 1/27) (*.f64 rand rand))) (+.f64 -1/3 a))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 -1/3 a)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 -1/27 (*.f64 a 1/9))
0.1b
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
0.3b
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
0.4b
(*.f64 a 1/9)
Compiler

Compiled 28 to 21 computations (25% saved)

series10.0ms (0.1%)

Counts
4 → 44
Calls

15 calls:

TimeVariablePointExpression
5.0ms
rand
@0
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
1.0ms
a
@-inf
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
0.0ms
a
@inf
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
0.0ms
a
@0
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
0.0ms
a
@-inf
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))

rewrite86.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
936×*-commutative
670×unswap-sqr
566×swap-sqr
426×associate-*r/
388×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01160
122848
2272048
Stop Event
node limit
Counts
4 → 183
Calls
Call 1
Inputs
(*.f64 a 1/9)
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(+.f64 -1/27 (*.f64 a 1/9))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) (exp.f64 (log1p.f64 (*.f64 a 1/9)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/729 (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a a) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/729 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a 1/9)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) rand) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) rand) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 a 1/9 -1/27) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))))))
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-1/27) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (+.f64 1/27 (neg.f64 (*.f64 a -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))) (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1/9 -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/9 a -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 1/9) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) 1/3) (*.f64 (sqrt.f64 a) 1/3) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 1/81)) (cbrt.f64 (*.f64 a 1/9)) -1/27)))))

simplify115.0ms (0.9%)

Algorithm
egg-herbie
Rules
1002×associate-*r/
840×associate-*l/
732×associate-*r*
628×associate-/r/
578×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04807933
111786881
246196881
Stop Event
node limit
Counts
227 → 319
Calls
Call 1
Inputs
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 (sqrt.f64 -1/27) rand)
(+.f64 (*.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand))
(+.f64 (*.f64 -1/648 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (*.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand)))
(+.f64 (*.f64 -1/648 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (*.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27))) (+.f64 (*.f64 1/11664 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/27) 5))) (*.f64 (sqrt.f64 -1/27) rand))))
(sqrt.f64 -1/27)
(+.f64 (sqrt.f64 -1/27) (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))))
(+.f64 (sqrt.f64 -1/27) (+.f64 (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3)))))
(+.f64 (sqrt.f64 -1/27) (+.f64 (*.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5))) (+.f64 (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3))))))
-1/27
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) (exp.f64 (log1p.f64 (*.f64 a 1/9)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1))
(pow.f64 (*.f64 a 1/9) 1)
(pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)
(pow.f64 (*.f64 1/729 (pow.f64 a 3)) 1/3)
(sqrt.f64 (*.f64 (*.f64 a a) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))
(cbrt.f64 (*.f64 1/729 (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 a 1/9)))
(exp.f64 (log.f64 (*.f64 a 1/9)))
(log1p.f64 (expm1.f64 (*.f64 a 1/9)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 1)
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) rand) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) rand) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 1))
(pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))) 1)
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 3)
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(/.f64 (*.f64 (+.f64 -1/729 (neg.f64 (*.f64 (*.f64 a a) -1/81))) 1) (+.f64 1/27 (neg.f64 (*.f64 a -1/9))))
(/.f64 (*.f64 (+.f64 1/19683 (neg.f64 (*.f64 1/729 (pow.f64 a 3)))) 1) (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (sqrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (-.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 1/729 (*.f64 (*.f64 a a) 1/81)))
(/.f64 (*.f64 (-.f64 1/387420489 (pow.f64 (*.f64 (*.f64 a a) 1/81) 3)) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 (+.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (*.f64 1/59049 (*.f64 a a))))
(/.f64 (*.f64 (-.f64 1/387420489 (*.f64 1/531441 (pow.f64 a 6))) (/.f64 1 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))) (+.f64 -1/19683 (*.f64 -1/729 (pow.f64 a 3))))
(/.f64 (*.f64 (+.f64 -1/7625597484987 (pow.f64 (*.f64 1/729 (pow.f64 a 3)) 3)) (/.f64 1 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))) (-.f64 (+.f64 1/387420489 (*.f64 1/531441 (pow.f64 a 6))) (*.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))))
(/.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) 1) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (*.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))) 1) (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))) (*.f64 (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9)))) (*.f64 (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9)))))
(pow.f64 (fma.f64 a 1/9 -1/27) 1)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 4)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 6)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 2/3)
(neg.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (+.f64 1/27 (neg.f64 (*.f64 a -1/9)))))
(neg.f64 (/.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))) (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))))
(sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))
(log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))
(expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))
(exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))
(log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 a 1/9 -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1 (*.f64 a 1/9) -1/27)
(fma.f64 (*.f64 (sqrt.f64 a) 1/3) (*.f64 (sqrt.f64 a) 1/3) -1/27)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 1/81)) (cbrt.f64 (*.f64 a 1/9)) -1/27)
Outputs
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 (sqrt.f64 -1/27) rand)
(*.f64 rand (sqrt.f64 -1/27))
(+.f64 (*.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand))
(fma.f64 1/18 (/.f64 a (/.f64 (sqrt.f64 -1/27) rand)) (*.f64 rand (sqrt.f64 -1/27)))
(fma.f64 rand (sqrt.f64 -1/27) (/.f64 (*.f64 (*.f64 a 1/18) rand) (sqrt.f64 -1/27)))
(fma.f64 rand (sqrt.f64 -1/27) (*.f64 (/.f64 1/18 (sqrt.f64 -1/27)) (*.f64 a rand)))
(+.f64 (*.f64 -1/648 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (*.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand)))
(fma.f64 -1/648 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3)) (fma.f64 1/18 (/.f64 a (/.f64 (sqrt.f64 -1/27) rand)) (*.f64 rand (sqrt.f64 -1/27))))
(+.f64 (fma.f64 rand (sqrt.f64 -1/27) (/.f64 (*.f64 (*.f64 a 1/18) rand) (sqrt.f64 -1/27))) (*.f64 1/24 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/27))))
(+.f64 (fma.f64 rand (sqrt.f64 -1/27) (*.f64 (/.f64 1/18 (sqrt.f64 -1/27)) (*.f64 a rand))) (*.f64 (*.f64 1/24 (/.f64 (*.f64 a a) (sqrt.f64 -1/27))) rand))
(+.f64 (*.f64 -1/648 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (*.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27))) (+.f64 (*.f64 1/11664 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/27) 5))) (*.f64 (sqrt.f64 -1/27) rand))))
(fma.f64 -1/648 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3)) (fma.f64 1/18 (/.f64 a (/.f64 (sqrt.f64 -1/27) rand)) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/27) 5) rand)) (*.f64 rand (sqrt.f64 -1/27)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/27))) (fma.f64 1/18 (*.f64 (/.f64 a (sqrt.f64 -1/27)) rand) (fma.f64 rand (sqrt.f64 -1/27) (/.f64 (*.f64 (*.f64 1/11664 rand) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/27) 5)))))
(+.f64 (*.f64 (*.f64 1/24 (/.f64 (*.f64 a a) (sqrt.f64 -1/27))) rand) (fma.f64 1/18 (*.f64 (/.f64 a (sqrt.f64 -1/27)) rand) (fma.f64 rand (sqrt.f64 -1/27) (*.f64 (/.f64 1/11664 (/.f64 (pow.f64 (sqrt.f64 -1/27) 5) (pow.f64 a 3))) rand))))
(sqrt.f64 -1/27)
(+.f64 (sqrt.f64 -1/27) (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))))
(+.f64 (sqrt.f64 -1/27) (/.f64 (*.f64 1/18 a) (sqrt.f64 -1/27)))
(fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (sqrt.f64 -1/27))
(+.f64 (sqrt.f64 -1/27) (+.f64 (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3)))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (/.f64 (*.f64 -1/648 (*.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3))))
(+.f64 (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (sqrt.f64 -1/27)) (*.f64 1/24 (/.f64 (*.f64 a a) (sqrt.f64 -1/27))))
(+.f64 (sqrt.f64 -1/27) (+.f64 (*.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5))) (+.f64 (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3))))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5)) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (/.f64 (*.f64 -1/648 (*.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3)))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5)) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (*.f64 1/24 (/.f64 (*.f64 a a) (sqrt.f64 -1/27))))))
-1/27
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) -1)
(*.f64 1/9 a)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)
(*.f64 1/9 a)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) (exp.f64 (log1p.f64 (*.f64 a 1/9)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1))
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 1) (*.f64 1/9 a)) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 1/9 a)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 1))
(pow.f64 (*.f64 a 1/9) 1)
(*.f64 1/9 a)
(pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)
(*.f64 1/9 a)
(pow.f64 (*.f64 1/729 (pow.f64 a 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))
(sqrt.f64 (*.f64 (*.f64 a a) 1/81))
(sqrt.f64 (*.f64 a (*.f64 a 1/81)))
(log.f64 (pow.f64 (exp.f64 1/9) a))
(*.f64 1/9 a)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))
(*.f64 1/9 a)
(cbrt.f64 (*.f64 1/729 (pow.f64 a 3)))
(cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))
(expm1.f64 (log1p.f64 (*.f64 a 1/9)))
(*.f64 1/9 a)
(exp.f64 (log.f64 (*.f64 a 1/9)))
(*.f64 1/9 a)
(log1p.f64 (expm1.f64 (*.f64 a 1/9)))
(*.f64 1/9 a)
(+.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) -1)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 1)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/729 (fma.f64 (*.f64 a a) 1/81 (*.f64 a 1/243)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243))))) (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81)))))) (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (sqrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81))))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a -1/9 -1/27))) (sqrt.f64 (fma.f64 (*.f64 a a) -1/81 1/729)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) rand) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/729 (fma.f64 (*.f64 a a) 1/81 (*.f64 a 1/243)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243))))) (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81)))))) (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) rand) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (sqrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81))))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a -1/9 -1/27))) (sqrt.f64 (fma.f64 (*.f64 a a) -1/81 1/729)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683)) (/.f64 (cbrt.f64 (+.f64 1/729 (fma.f64 (*.f64 a a) 1/81 (*.f64 a 1/243)))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (cbrt.f64 (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243))))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (cbrt.f64 (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81)))))) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) rand)
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(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81)))) (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (*.f64 a a) -1/81 1/729)) (cbrt.f64 (fma.f64 a -1/9 -1/27))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 4))
(/.f64 (*.f64 (-.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 1/729 (*.f64 (*.f64 a a) 1/81)))
(/.f64 (+.f64 1/531441 (*.f64 -1/6561 (pow.f64 a 4))) (*.f64 (+.f64 -1/27 (*.f64 a -1/9)) (+.f64 1/729 (*.f64 (*.f64 a a) 1/81))))
(/.f64 (+.f64 1/531441 (*.f64 (pow.f64 a 4) -1/6561)) (*.f64 (fma.f64 a -1/9 -1/27) (fma.f64 a (*.f64 a 1/81) 1/729)))
(/.f64 (*.f64 (-.f64 1/387420489 (pow.f64 (*.f64 (*.f64 a a) 1/81) 3)) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 (+.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (*.f64 1/59049 (*.f64 a a))))
(/.f64 (/.f64 (-.f64 1/387420489 (*.f64 (pow.f64 (*.f64 a a) 3) 1/531441)) (+.f64 -1/27 (*.f64 a -1/9))) (+.f64 1/531441 (+.f64 (*.f64 1/6561 (pow.f64 a 4)) (*.f64 (*.f64 1/59049 a) a))))
(/.f64 (+.f64 1/387420489 (*.f64 -1/531441 (pow.f64 a 6))) (*.f64 (fma.f64 a -1/9 -1/27) (fma.f64 (*.f64 a a) 1/59049 (fma.f64 1/6561 (pow.f64 a 4) 1/531441))))
(/.f64 (*.f64 (-.f64 1/387420489 (*.f64 1/531441 (pow.f64 a 6))) (/.f64 1 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))) (+.f64 -1/19683 (*.f64 -1/729 (pow.f64 a 3))))
(/.f64 (/.f64 (+.f64 1/387420489 (*.f64 -1/531441 (pow.f64 a 6))) (+.f64 1/729 (fma.f64 (*.f64 a a) 1/81 (*.f64 a 1/243)))) (+.f64 -1/19683 (*.f64 (pow.f64 a 3) -1/729)))
(/.f64 (/.f64 (+.f64 1/387420489 (*.f64 -1/531441 (pow.f64 a 6))) (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243)))) (fma.f64 (pow.f64 a 3) -1/729 -1/19683))
(/.f64 (/.f64 (+.f64 1/387420489 (*.f64 -1/531441 (pow.f64 a 6))) (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81))))) (fma.f64 (pow.f64 a 3) -1/729 -1/19683))
(/.f64 (*.f64 (+.f64 -1/7625597484987 (pow.f64 (*.f64 1/729 (pow.f64 a 3)) 3)) (/.f64 1 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))) (-.f64 (+.f64 1/387420489 (*.f64 1/531441 (pow.f64 a 6))) (*.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))))
(/.f64 (+.f64 -1/7625597484987 (pow.f64 (*.f64 (pow.f64 a 3) 1/729) 3)) (*.f64 (+.f64 1/729 (fma.f64 (*.f64 a a) 1/81 (*.f64 a 1/243))) (+.f64 1/387420489 (-.f64 (*.f64 1/531441 (pow.f64 a 6)) (*.f64 -1/14348907 (pow.f64 a 3))))))
(/.f64 (fma.f64 1/387420489 (pow.f64 (pow.f64 a 3) 3) -1/7625597484987) (*.f64 (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243))) (+.f64 1/387420489 (fma.f64 1/531441 (pow.f64 a 6) (*.f64 1/14348907 (pow.f64 a 3))))))
(/.f64 (fma.f64 1/387420489 (pow.f64 (pow.f64 a 3) 3) -1/7625597484987) (*.f64 (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81)))) (+.f64 1/387420489 (fma.f64 1/531441 (pow.f64 a 6) (*.f64 (pow.f64 a 3) 1/14348907)))))
(/.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) 1) (+.f64 -1/27 (*.f64 a -1/9)))
(-.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(-.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (*.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(-.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))) 1) (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))
(*.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 1/729 (fma.f64 (*.f64 a a) 1/81 (*.f64 a 1/243)))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81)))))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(*.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 1/729 (fma.f64 (*.f64 a a) 1/81 (*.f64 a 1/243)))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81)))))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))) (*.f64 (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(*.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 1/729 (fma.f64 (*.f64 a a) 1/81 (*.f64 a 1/243)))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))) (fma.f64 1/9 a -1/27)) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/9 a -1/27)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))))
(/.f64 (-.f64 (*.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9)))) (*.f64 (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9)))))
(/.f64 (-.f64 (/.f64 (/.f64 1/531441 (fma.f64 a -1/9 -1/27)) (fma.f64 a -1/9 -1/27)) (/.f64 (/.f64 (*.f64 1/6561 (pow.f64 a 4)) (fma.f64 a -1/9 -1/27)) (fma.f64 a -1/9 -1/27))) (+.f64 (/.f64 1/729 (fma.f64 a -1/9 -1/27)) (*.f64 (/.f64 (*.f64 a a) (fma.f64 a -1/9 -1/27)) 1/81)))
(/.f64 (+.f64 (/.f64 1/531441 (*.f64 (fma.f64 a -1/9 -1/27) (fma.f64 a -1/9 -1/27))) (/.f64 (/.f64 (*.f64 (pow.f64 a 4) -1/6561) (fma.f64 a -1/9 -1/27)) (fma.f64 a -1/9 -1/27))) (+.f64 (/.f64 1/729 (fma.f64 a -1/9 -1/27)) (*.f64 (/.f64 (*.f64 a a) (fma.f64 a -1/9 -1/27)) 1/81)))
(pow.f64 (fma.f64 a 1/9 -1/27) 1)
(fma.f64 1/9 a -1/27)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 4)
(fma.f64 1/9 a -1/27)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 6)
(fma.f64 1/9 a -1/27)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 2))
(fabs.f64 (fma.f64 1/9 a -1/27))
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 2/3)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2)))
(neg.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (+.f64 1/27 (neg.f64 (*.f64 a -1/9)))))
(/.f64 (fma.f64 (*.f64 a a) 1/81 -1/729) (fma.f64 a 1/9 1/27))
(/.f64 (fma.f64 a (*.f64 a 1/81) -1/729) (fma.f64 1/9 a 1/27))
(neg.f64 (/.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))) (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))))
(/.f64 (-.f64 1/19683 (*.f64 (pow.f64 a 3) 1/729)) (-.f64 -1/729 (fma.f64 (*.f64 a a) 1/81 (*.f64 a 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) -1/729 1/19683) (+.f64 -1/729 (*.f64 a (+.f64 (*.f64 a -1/81) -1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) -1/729 1/19683) (+.f64 -1/729 (*.f64 a (+.f64 -1/243 (*.f64 a -1/81)))))
(sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 2))
(fabs.f64 (fma.f64 1/9 a -1/27))
(log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))
(fma.f64 1/9 a -1/27)
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))
(fma.f64 1/9 a -1/27)
(expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(fma.f64 a 1/9 -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1 (*.f64 a 1/9) -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (*.f64 (sqrt.f64 a) 1/3) (*.f64 (sqrt.f64 a) 1/3) -1/27)
(+.f64 (pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2) -1/27)
(+.f64 -1/27 (pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 1/81)) (cbrt.f64 (*.f64 a 1/9)) -1/27)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 1/81)) (cbrt.f64 (*.f64 1/9 a)) -1/27)
(fma.f64 (cbrt.f64 (*.f64 a (*.f64 a 1/81))) (cbrt.f64 (*.f64 1/9 a)) -1/27)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
0.2b
(sqrt.f64 (/.f64 1/9 a))
0.3b
(*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)
0.3b
(/.f64 1/9 a)
Compiler

Compiled 43 to 31 computations (27.9% saved)

series4.0ms (0%)

Counts
4 → 26
Calls

18 calls:

TimeVariablePointExpression
0.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
0.0ms
a
@-inf
(*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)
0.0ms
a
@-inf
(sqrt.f64 (/.f64 1/9 a))
0.0ms
a
@0
(sqrt.f64 (/.f64 1/9 a))
0.0ms
a
@inf
(sqrt.f64 (/.f64 1/9 a))

rewrite99.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1150×distribute-rgt-in
1104×distribute-lft-in
666×associate-/r*
310×associate-/l*
300×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01470
130366
2389366
Stop Event
node limit
Counts
4 → 220
Calls
Call 1
Inputs
(/.f64 1/9 a)
(*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)
(sqrt.f64 (/.f64 1/9 a))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/9 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/9 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 a) 1/4) (*.f64 (pow.f64 (/.f64 1/9 a) 1/4) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2) (cbrt.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 a)) (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 a)) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (pow.f64 (/.f64 1/9 a) 1/4)) (pow.f64 (/.f64 1/9 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 1/9 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 1/9 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 a) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/81 (*.f64 a a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 a)))))))
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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))))))

simplify120.0ms (0.9%)

Algorithm
egg-herbie
Rules
1028×associate-+l+
1024×associate-+r+
676×associate-/r/
660×+-commutative
520×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05139652
112669338
249709336
Stop Event
node limit
Counts
246 → 279
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/9 a))) 1)
(*.f64 1/9 (/.f64 1 a))
(*.f64 (/.f64 1/9 a) 1)
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1 (/.f64 1/9 a))
(*.f64 (pow.f64 (/.f64 1/9 a) 1/4) (*.f64 (pow.f64 (/.f64 1/9 a) 1/4) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2) (cbrt.f64 (/.f64 1/9 a)))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 1 a) 1/9)
(*.f64 -1/9 (/.f64 -1 a))
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (pow.f64 (/.f64 1/9 a) 1/4)) (pow.f64 (/.f64 1/9 a) 1/4))
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 1/9 (sqrt.f64 a)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 1/9 (cbrt.f64 a)))
(*.f64 (/.f64 -1 a) -1/9)
(pow.f64 (/.f64 1/9 a) 1)
(pow.f64 (/.f64 1/3 (sqrt.f64 a)) 2)
(pow.f64 (cbrt.f64 (/.f64 1/9 a)) 3)
(pow.f64 (/.f64 1/81 (*.f64 a a)) 1/2)
(pow.f64 (pow.f64 (/.f64 1/9 a) 3) 1/3)
(pow.f64 (*.f64 a 9) -1)
(sqrt.f64 (/.f64 1/81 (*.f64 a a)))
(log.f64 (exp.f64 (/.f64 1/9 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 a))))
(cbrt.f64 (pow.f64 (/.f64 1/9 a) 3))
(expm1.f64 (log1p.f64 (/.f64 1/9 a)))
(exp.f64 (log.f64 (/.f64 1/9 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1))
(log1p.f64 (expm1.f64 (/.f64 1/9 a)))
(+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 0)
(+.f64 1 (-.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 1))
(-.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))) (+.f64 (/.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))) 1))
(/.f64 rand (/.f64 (sqrt.f64 a) 1/3))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 rand 1/3) 1) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 rand 1/3) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (*.f64 1/3 rand) 1) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))) 3)
(pow.f64 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3) 1/3)
(sqrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))
(log.f64 (exp.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))))
(cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(exp.f64 (log.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a)))) 1)
(*.f64 (/.f64 1/3 (sqrt.f64 a)) 1)
(*.f64 1 (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 (sqrt.f64 a)))
(*.f64 (pow.f64 (/.f64 1/9 a) 1/4) (pow.f64 (/.f64 1/9 a) 1/4))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/9 a)))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 1/9 a))))
(*.f64 (/.f64 1 (sqrt.f64 a)) 1/3)
(*.f64 (pow.f64 1/9 1/2) (pow.f64 (/.f64 1 a) 1/2))
(*.f64 (pow.f64 1 1/2) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 1/2))
(/.f64 -1/3 (neg.f64 (sqrt.f64 a)))
(/.f64 1 (sqrt.f64 (*.f64 a 9)))
(/.f64 1 (/.f64 (sqrt.f64 a) 1/3))
(/.f64 1/3 (sqrt.f64 a))
(/.f64 (sqrt.f64 -1/9) (sqrt.f64 (neg.f64 a)))
(/.f64 (/.f64 1/3 (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 1/3 (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 1/3 (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(pow.f64 (/.f64 1/9 a) 1/2)
(pow.f64 (/.f64 1/3 (sqrt.f64 a)) 1)
(pow.f64 (pow.f64 (/.f64 1/9 a) 1/4) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 3)
(pow.f64 (pow.f64 (/.f64 1/9 a) 3/2) 1/3)
(fabs.f64 (/.f64 1/3 (sqrt.f64 a)))
(log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 a)))))
(cbrt.f64 (pow.f64 (/.f64 1/9 a) 3/2))
(expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a))))
(exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 a))))
(+.f64 a (+.f64 -1/3 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))
(+.f64 a (+.f64 -1/3 (*.f64 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)) 1)))
(+.f64 a (*.f64 1 (+.f64 -1/3 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))))
(+.f64 a (*.f64 (+.f64 -1/3 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))) 1))
(+.f64 -1/3 (+.f64 a (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))
(+.f64 -1/3 (+.f64 a (*.f64 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)) 1)))
(+.f64 -1/3 (*.f64 1 (+.f64 a (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))))
(+.f64 -1/3 (*.f64 (+.f64 a (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))) 1))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)) 1))
(+.f64 (+.f64 a -1/3) (*.f64 1 (*.f64 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)) 1)))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)) 1) 1))
(+.f64 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (+.f64 -1/3 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))) a)
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(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3)) (+.f64 a -1/3)) 1) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3)) (+.f64 a -1/3)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3)) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (+.f64 a 1/3)) (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3))) (+.f64 a 1/3)) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (fma.f64 a a -1/9)) (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3)) (fma.f64 a a -1/9)) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 1/3 (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 1/3 (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/9 a))) 1)
(/.f64 1/9 a)
(*.f64 1/9 (/.f64 1 a))
(/.f64 1/9 a)
(*.f64 (/.f64 1/9 a) 1)
(/.f64 1/9 a)
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 1/3 (sqrt.f64 a)))
(pow.f64 (/.f64 1/3 (sqrt.f64 a)) 2)
(*.f64 1 (/.f64 1/9 a))
(/.f64 1/9 a)
(*.f64 (pow.f64 (/.f64 1/9 a) 1/4) (*.f64 (pow.f64 (/.f64 1/9 a) 1/4) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 (/.f64 1/9 a)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) 1/3) (sqrt.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2) (cbrt.f64 (/.f64 1/9 a)))
(/.f64 1/9 a)
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2))
(/.f64 1/9 a)
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 4))
(*.f64 (/.f64 1 a) 1/9)
(/.f64 1/9 a)
(*.f64 -1/9 (/.f64 -1 a))
(/.f64 1/9 a)
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (pow.f64 (/.f64 1/9 a) 1/4)) (pow.f64 (/.f64 1/9 a) 1/4))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 (/.f64 1/9 a)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) 1/3) (sqrt.f64 a))
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 4))
(*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 1/9 (sqrt.f64 a)))
(pow.f64 (/.f64 1/3 (sqrt.f64 a)) 2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 1/9 (cbrt.f64 a)))
(/.f64 (/.f64 1/9 (cbrt.f64 a)) (pow.f64 (cbrt.f64 a) 2))
(*.f64 (/.f64 -1 a) -1/9)
(/.f64 1/9 a)
(pow.f64 (/.f64 1/9 a) 1)
(/.f64 1/9 a)
(pow.f64 (/.f64 1/3 (sqrt.f64 a)) 2)
(pow.f64 (cbrt.f64 (/.f64 1/9 a)) 3)
(/.f64 1/9 a)
(pow.f64 (/.f64 1/81 (*.f64 a a)) 1/2)
(sqrt.f64 (/.f64 1/81 (*.f64 a a)))
(pow.f64 (pow.f64 (/.f64 1/9 a) 3) 1/3)
(/.f64 1/9 a)
(pow.f64 (*.f64 a 9) -1)
(/.f64 1/9 a)
(sqrt.f64 (/.f64 1/81 (*.f64 a a)))
(log.f64 (exp.f64 (/.f64 1/9 a)))
(/.f64 1/9 a)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 a))))
(/.f64 1/9 a)
(cbrt.f64 (pow.f64 (/.f64 1/9 a) 3))
(/.f64 1/9 a)
(expm1.f64 (log1p.f64 (/.f64 1/9 a)))
(/.f64 1/9 a)
(exp.f64 (log.f64 (/.f64 1/9 a)))
(/.f64 1/9 a)
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1))
(/.f64 1/9 a)
(log1p.f64 (expm1.f64 (/.f64 1/9 a)))
(/.f64 1/9 a)
(+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 0)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(+.f64 1 (-.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 1))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(-.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) 1)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))) (+.f64 (/.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))) 1))
(-.f64 (-.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) (/.f64 (/.f64 1/9 a) (/.f64 (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (*.f64 rand rand)))) 1)
(+.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) (/.f64 -1/9 a))) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) (/.f64 -1/9 a))) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))
(/.f64 rand (/.f64 (sqrt.f64 a) 1/3))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 rand 1/3) 1) (sqrt.f64 a))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 rand 1/3) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 a)))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) (/.f64 rand (cbrt.f64 a)))
(/.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (*.f64 (sqrt.f64 (cbrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))
(*.f64 (/.f64 1/3 (sqrt.f64 (cbrt.f64 a))) (/.f64 rand (fabs.f64 (cbrt.f64 a))))
(/.f64 (/.f64 (*.f64 1/3 rand) 1) (sqrt.f64 a))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 a)))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) (/.f64 rand (cbrt.f64 a)))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (*.f64 (sqrt.f64 (cbrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))
(*.f64 (/.f64 1/3 (sqrt.f64 (cbrt.f64 a))) (/.f64 rand (fabs.f64 (cbrt.f64 a))))
(pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 1)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(pow.f64 (sqrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))) 2)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))) 3)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(pow.f64 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3) 1/3)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(sqrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 rand (/.f64 1/9 a))))
(log.f64 (exp.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(expm1.f64 (log1p.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(exp.f64 (log.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))) 1))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(log1p.f64 (expm1.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
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(/.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 3))) (+.f64 1 (*.f64 rand (-.f64 (*.f64 rand (/.f64 1/9 a)) (/.f64 1/3 (sqrt.f64 a))))))
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(/.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
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(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 a -1/3)) (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
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(/.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (/.f64 (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (neg.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))) (+.f64 a -1/3)))
(/.f64 (+.f64 a -1/3) (/.f64 (+.f64 1 (*.f64 rand (-.f64 (*.f64 rand (/.f64 1/9 a)) (/.f64 1/3 (sqrt.f64 a))))) (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 3))))
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(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 3)) (pow.f64 (+.f64 a -1/3) 3)) (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 2) 1) (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (pow.f64 (+.f64 a -1/3) 2))))
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(/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))))
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(/.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
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(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 a -1/3)) 1) (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
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(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3)))) (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (neg.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (+.f64 1 (*.f64 rand (-.f64 (*.f64 rand (/.f64 1/9 a)) (/.f64 1/3 (sqrt.f64 a)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (fma.f64 a a -1/9)) (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))) (+.f64 a 1/3))
(*.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(*.f64 (+.f64 1 (*.f64 (*.f64 rand rand) (/.f64 -1/9 a))) (/.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (+.f64 1 (*.f64 (*.f64 rand rand) (/.f64 -1/9 a))) (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3)) (fma.f64 a a -1/9)) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (neg.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))))
(/.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 3))) (+.f64 1 (*.f64 rand (-.f64 (*.f64 rand (/.f64 1/9 a)) (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3)))) (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (neg.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (+.f64 1 (*.f64 rand (-.f64 (*.f64 rand (/.f64 1/9 a)) (/.f64 1/3 (sqrt.f64 a)))))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) 1)
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))) 2)
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))) 3)
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) 3) 1/3)
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3)) 2))
(fabs.f64 (*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)))))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)) 3))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) 3)))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))) 1))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1))))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3)))
(*.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1) (+.f64 a -1/3))

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
0.3b
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
Compiler

Compiled 41 to 26 computations (36.6% saved)

series2.0ms (0%)

Counts
2 → 26
Calls

12 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
0.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
0.0ms
a
@0
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
0.0ms
a
@inf
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
0.0ms
rand
@0
(/.f64 (/.f64 rand 3) (sqrt.f64 a))

rewrite90.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1688×associate-/r*
1420×associate-/l*
504×associate-/r/
312×add-sqr-sqrt
296×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01452
131050
2423250
Stop Event
node limit
Counts
2 → 166
Calls
Call 1
Inputs
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 1/3 (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 1/3) (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand 1/3)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (*.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand -1/3) (/.f64 -1 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 rand (/.f64 (pow.f64 a 1/4) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 a)) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) (/.f64 (sqrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 a)) (/.f64 (cbrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)) (sqrt.f64 (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) 1) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (cbrt.f64 a)) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (sqrt.f64 a)) (cbrt.f64 (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)))) (cbrt.f64 (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 3 (sqrt.f64 a))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a -1/2) -3) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a -1/2) (/.f64 3 (sqrt.f64 rand))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a -1/2) (/.f64 3 (cbrt.f64 (*.f64 rand rand)))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) (/.f64 3 rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 rand 1/3) (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))))
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simplify121.0ms (1%)

Algorithm
egg-herbie
Rules
1718×associate-/r*
838×associate-/r/
630×associate-+r+
566×associate-+l+
548×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04389420
111219182
240589108
Stop Event
node limit
Counts
192 → 255
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 0)
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))
(-.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))
(*.f64 rand (*.f64 1/3 (pow.f64 a -1/2)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (*.f64 rand 1/3) (pow.f64 a -1/2))
(*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(*.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (sqrt.f64 (*.f64 rand 1/3)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)))
(*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (*.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (pow.f64 a -1/2) (*.f64 rand 1/3))
(*.f64 (*.f64 rand -1/3) (/.f64 -1 (sqrt.f64 a)))
(*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 rand (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(*.f64 (/.f64 -1 (sqrt.f64 a)) (*.f64 rand -1/3))
(*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) (/.f64 (sqrt.f64 rand) 3))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 a)) (/.f64 (cbrt.f64 rand) 3))
(*.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(*.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)) (sqrt.f64 (*.f64 rand 1/3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) 1) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (cbrt.f64 a)) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (sqrt.f64 a)) (cbrt.f64 (*.f64 rand 1/3)))
(*.f64 (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))) (sqrt.f64 rand))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)))) (cbrt.f64 (*.f64 rand 1/3)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 3 (sqrt.f64 a))) (cbrt.f64 rand))
(*.f64 (/.f64 (pow.f64 a -1/2) -3) (neg.f64 rand))
(*.f64 (/.f64 (pow.f64 a -1/2) (/.f64 3 (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 (/.f64 (pow.f64 a -1/2) (/.f64 3 (cbrt.f64 (*.f64 rand rand)))) (cbrt.f64 rand))
(pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)
(pow.f64 (*.f64 (sqrt.f64 a) (/.f64 3 rand)) -1)
(pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)
(neg.f64 (/.f64 (*.f64 rand 1/3) (neg.f64 (sqrt.f64 a))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
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(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 a -1/3)) (sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))) (cbrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))))) (cbrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a))) (+.f64 a 1/3)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (+.f64 a 1/3)) (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (fma.f64 a a -1/9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (fma.f64 a a -1/9)) (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1))))
(exp.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1))))
(fma.f64 (+.f64 a -1/3) 1 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (/.f64 3 rand))))
(fma.f64 1 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (/.f64 3 rand))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (/.f64 3 rand))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (/.f64 3 rand))))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)) 1))
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 0)
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(-.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1) 1)
(+.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) -1)
(+.f64 (*.f64 rand (*.f64 1/3 (pow.f64 a -1/2))) 0)
(+.f64 0 (*.f64 1/3 (*.f64 rand (pow.f64 a -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) (+.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (*.f64 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) a))))
(+.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 (*.f64 rand rand) a) 1/9)) (+.f64 1 (/.f64 (*.f64 rand -1/3) (sqrt.f64 a)))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 rand rand) a) -1/9)) (+.f64 1 (*.f64 rand (/.f64 -1/3 (sqrt.f64 a))))))
(*.f64 rand (*.f64 1/3 (pow.f64 a -1/2)))
(*.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (*.f64 rand 1/3) (pow.f64 a -1/2))
(*.f64 rand (*.f64 1/3 (pow.f64 a -1/2)))
(*.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))
(*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 (*.f64 rand 1/3)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)))
(*.f64 rand (*.f64 1/3 (pow.f64 a -1/2)))
(*.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))
(*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (*.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (*.f64 (pow.f64 a -1/2) (cbrt.f64 (*.f64 1/3 rand))))
(*.f64 (cbrt.f64 (*.f64 rand (*.f64 rand 1/9))) (*.f64 (pow.f64 a -1/2) (cbrt.f64 (*.f64 1/3 rand))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (/.f64 a 1/9))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 (*.f64 rand rand) a) 1/9)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (/.f64 a 1/9))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 (*.f64 rand rand) a) 1/9)))
(*.f64 (pow.f64 a -1/2) (*.f64 rand 1/3))
(*.f64 rand (*.f64 1/3 (pow.f64 a -1/2)))
(*.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))
(*.f64 (*.f64 rand -1/3) (/.f64 -1 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 rand (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (*.f64 (/.f64 rand (pow.f64 a 1/4)) 1/3))
(/.f64 rand (/.f64 (pow.f64 a 1/4) (/.f64 1/3 (pow.f64 a 1/4))))
(*.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (/.f64 rand (cbrt.f64 (sqrt.f64 a))) 1/3) (cbrt.f64 a))
(*.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 -1 (sqrt.f64 a)) (*.f64 rand -1/3))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) (/.f64 (sqrt.f64 rand) 3))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 a)) (/.f64 (cbrt.f64 rand) 3))
(/.f64 (*.f64 (cbrt.f64 (*.f64 rand rand)) (/.f64 (cbrt.f64 rand) 3)) (sqrt.f64 a))
(*.f64 (cbrt.f64 rand) (/.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 3) (sqrt.f64 a)))
(*.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (*.f64 (/.f64 rand (pow.f64 a 1/4)) 1/3))
(/.f64 rand (/.f64 (pow.f64 a 1/4) (/.f64 1/3 (pow.f64 a 1/4))))
(*.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (/.f64 rand (cbrt.f64 (sqrt.f64 a))) 1/3) (cbrt.f64 a))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)) (sqrt.f64 (*.f64 rand 1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (/.f64 rand (cbrt.f64 (sqrt.f64 a))) 1/3) (cbrt.f64 a))
(*.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) 1) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)))
(*.f64 (cbrt.f64 (*.f64 1/3 rand)) (/.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (sqrt.f64 a)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)))
(*.f64 (cbrt.f64 (*.f64 rand (*.f64 rand 1/9))) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)))
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(*.f64 (+.f64 1 (*.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 (*.f64 (/.f64 (*.f64 rand rand) a) 1/9) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1)))))
(*.f64 (+.f64 1 (*.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3))) (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (-.f64 (*.f64 (/.f64 (*.f64 rand rand) a) 1/9) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)) 1)
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1))) 2)
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1))) 3)
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)) 3) 1/3)
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3)) 2))
(fabs.f64 (*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)) (+.f64 a -1/3)))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)))))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)) 3))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1) 3)))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1))))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(exp.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(exp.f64 (+.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (log.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))
(exp.f64 (+.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (log.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1))))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(fma.f64 (+.f64 a -1/3) 1 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (/.f64 3 rand))))
(+.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (/.f64 3 rand))))
(+.f64 a (+.f64 -1/3 (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) rand)))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) rand))
(fma.f64 1 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (/.f64 3 rand))))
(+.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (/.f64 3 rand))))
(+.f64 a (+.f64 -1/3 (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) rand)))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) rand))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (/.f64 3 rand))))
(+.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (/.f64 3 rand))))
(+.f64 a (+.f64 -1/3 (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) rand)))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) rand))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (/.f64 3 rand))))
(+.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (/.f64 3 rand))))
(+.f64 a (+.f64 -1/3 (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) rand)))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) rand))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 a (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
0.3b
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))
0.3b
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
0.3b
(/.f64 1/3 (sqrt.f64 a))
Compiler

Compiled 59 to 36 computations (39% saved)

series9.0ms (0.1%)

Counts
4 → 26
Calls

18 calls:

TimeVariablePointExpression
2.0ms
a
@0
(+.f64 a (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
1.0ms
rand
@0
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
1.0ms
a
@-inf
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
1.0ms
rand
@inf
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
1.0ms
a
@-inf
(/.f64 1/3 (sqrt.f64 a))

rewrite114.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1272×distribute-lft-in
1010×associate-/r*
540×associate-/l*
316×associate-+l+
302×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01398
129294
2401994
Stop Event
node limit
Counts
4 → 298
Calls
Call 1
Inputs
(/.f64 1/3 (sqrt.f64 a))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))
(+.f64 a (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 -1 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 a)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (*.f64 -1/3 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))) (*.f64 rand (/.f64 -1/9 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (/.f64 -1/9 (sqrt.f64 a))) (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a) (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1/3) (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) rand) (*.f64 (/.f64 -1/9 (sqrt.f64 a)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/9 (sqrt.f64 a)) rand) (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (*.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) 1)) (*.f64 rand (*.f64 (/.f64 -1/9 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) (*.f64 1 (*.f64 -1/3 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 -1/3 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) (*.f64 1 (*.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))) (*.f64 1 (*.f64 rand (/.f64 -1/9 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)) (*.f64 1 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1/3)) (*.f64 1 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) rand)) (*.f64 1 (*.f64 (/.f64 -1/9 (sqrt.f64 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1) a) (*.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1) -1/3) (*.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (/.f64 (sqrt.f64 a) (*.f64 1/3 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (+.f64 a -1/3)) (/.f64 (sqrt.f64 a) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 a a -1/9)) (+.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 -1/27 (pow.f64 a 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) 1) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (pow.f64 a 1/4)) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (cbrt.f64 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-1/3))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) rand a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) 2) (cbrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3) a)))))

simplify139.0ms (1.1%)

Algorithm
egg-herbie
Rules
1464×associate-/l*
1080×associate-*r*
1042×associate-*l*
962×associate-/l/
836×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075416534
1205916372
Stop Event
node limit
Counts
324 → 467
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
a
a
a
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a)))) 1)
(*.f64 1/3 (pow.f64 a -1/2))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) 1)
(*.f64 -1/3 (/.f64 -1 (sqrt.f64 a)))
(*.f64 1 (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/9 a)))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (pow.f64 a -1/2) 1/3)
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 -1 (sqrt.f64 a)) -1/3)
(pow.f64 (/.f64 1/3 (sqrt.f64 a)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 3)
(pow.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 a)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 a) 3) -1)
(sqrt.f64 (/.f64 1/9 a))
(log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 a)))))
(cbrt.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 a)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a))))
(exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 a))))
(+.f64 (*.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (*.f64 -1/3 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(+.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))) (*.f64 rand (/.f64 -1/9 (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 -1/9 (sqrt.f64 a))) (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))))
(+.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a) (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1/3))
(+.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1/3) (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a))
(+.f64 (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) rand) (*.f64 (/.f64 -1/9 (sqrt.f64 a)) rand))
(+.f64 (*.f64 (/.f64 -1/9 (sqrt.f64 a)) rand) (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) rand))
(+.f64 (*.f64 -1/3 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (*.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(+.f64 (*.f64 rand (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) 1)) (*.f64 rand (*.f64 (/.f64 -1/9 (sqrt.f64 a)) 1)))
(+.f64 (*.f64 1 (*.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) (*.f64 1 (*.f64 -1/3 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))
(+.f64 (*.f64 1 (*.f64 -1/3 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) (*.f64 1 (*.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))
(+.f64 (*.f64 1 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))) (*.f64 1 (*.f64 rand (/.f64 -1/9 (sqrt.f64 a)))))
(+.f64 (*.f64 1 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)) (*.f64 1 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1/3)))
(+.f64 (*.f64 1 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1/3)) (*.f64 1 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)))
(+.f64 (*.f64 1 (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) rand)) (*.f64 1 (*.f64 (/.f64 -1/9 (sqrt.f64 a)) rand)))
(+.f64 (*.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1) a) (*.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1) -1/3))
(+.f64 (*.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1) -1/3) (*.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1) a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))) 1)
(/.f64 rand (/.f64 (sqrt.f64 a) (*.f64 1/3 (+.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) 1)
(/.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (*.f64 1/3 (+.f64 a -1/3)) (/.f64 (sqrt.f64 a) rand))
(/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (sqrt.f64 a))
(/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 a a -1/9)) (+.f64 1/3 a))
(/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 -1/27 (pow.f64 a 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) 1) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (pow.f64 a 1/4)) (pow.f64 a 1/4))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 a))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (pow.f64 1 1/2)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)) (pow.f64 (cbrt.f64 a) 1/2))
(/.f64 (/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 a a -1/9)) 1) (+.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (+.f64 1/3 a)))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) 1) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (pow.f64 a 1/4)) (pow.f64 a 1/4))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 a))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (pow.f64 1 1/2)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)) (pow.f64 (cbrt.f64 a) 1/2))
(pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))) rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))))
(exp.f64 (log.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))))
(+.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) (/.f64 -1/9 (sqrt.f64 a)))
(+.f64 (/.f64 -1/9 (sqrt.f64 a)) (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(+.f64 (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) 1) (*.f64 (/.f64 -1/9 (sqrt.f64 a)) 1))
(+.f64 (*.f64 (/.f64 -1/9 (sqrt.f64 a)) 1) (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) 1))
(+.f64 (*.f64 1 (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) 1)) (*.f64 1 (*.f64 (/.f64 -1/9 (sqrt.f64 a)) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))))) 1)
(/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (*.f64 (sqrt.f64 a) (+.f64 1/3 a)) (fma.f64 a a -1/9)))
(/.f64 1/3 (/.f64 (*.f64 (sqrt.f64 a) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 1 (+.f64 a -1/3)))
(/.f64 -1/3 (/.f64 (neg.f64 (sqrt.f64 a)) (+.f64 a -1/3)))
(/.f64 -1/3 (/.f64 (*.f64 (neg.f64 (sqrt.f64 a)) (+.f64 1/3 a)) (fma.f64 a a -1/9)))
(/.f64 -1/3 (/.f64 (*.f64 (neg.f64 (sqrt.f64 a)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))
(/.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) 1)
(/.f64 1 (/.f64 (sqrt.f64 a) (*.f64 1/3 (+.f64 a -1/3))))
(/.f64 1 (/.f64 (*.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 1/3 a)) (fma.f64 a a -1/9)))
(/.f64 1 (/.f64 (*.f64 (*.f64 (sqrt.f64 a) 3) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 a) 3) (/.f64 1 (+.f64 a -1/3))))
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(expm1.f64 (log1p.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3)))))
(exp.f64 (log.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3)))))
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(fma.f64 (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) 2) (cbrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) a)
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3) a)
Outputs
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
a
a
a
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))))
(+.f64 a (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))))
(+.f64 a (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))))
(+.f64 a (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))))
(+.f64 a (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))))
(+.f64 a (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))))
(+.f64 a (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))))
(+.f64 a (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))))
(+.f64 a (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand))))
(+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a)))))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))))
(+.f64 a (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a)))) 1)
(/.f64 1/3 (sqrt.f64 a))
(*.f64 1/3 (pow.f64 a -1/2))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) 1)
(/.f64 1/3 (sqrt.f64 a))
(*.f64 -1/3 (/.f64 -1 (sqrt.f64 a)))
(/.f64 1/3 (sqrt.f64 a))
(*.f64 1 (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (sqrt.f64 a))
(*.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 1/3 (sqrt.f64 a))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/9 a)))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/9 a)))
(*.f64 (pow.f64 a -1/2) 1/3)
(*.f64 1/3 (pow.f64 a -1/2))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (/.f64 1/3 (pow.f64 a 1/4)) (pow.f64 a 1/4))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 1/3 (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (/.f64 -1 (sqrt.f64 a)) -1/3)
(/.f64 1/3 (sqrt.f64 a))
(pow.f64 (/.f64 1/3 (sqrt.f64 a)) 1)
(/.f64 1/3 (sqrt.f64 a))
(pow.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) 2)
(/.f64 1/3 (sqrt.f64 a))
(pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 3)
(/.f64 1/3 (sqrt.f64 a))
(pow.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 a)) 3) 1/3)
(/.f64 1/3 (sqrt.f64 a))
(pow.f64 (*.f64 (sqrt.f64 a) 3) -1)
(/.f64 1/3 (sqrt.f64 a))
(sqrt.f64 (/.f64 1/9 a))
(log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 1/3 (sqrt.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 1/3 (sqrt.f64 a))
(cbrt.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 a)) 3))
(/.f64 1/3 (sqrt.f64 a))
(expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 1/3 (sqrt.f64 a))
(exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 1/3 (sqrt.f64 a))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1))
(/.f64 1/3 (sqrt.f64 a))
(log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 1/3 (sqrt.f64 a))
(+.f64 (*.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (*.f64 -1/3 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(+.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))) (*.f64 rand (/.f64 -1/9 (sqrt.f64 a))))
(*.f64 rand (fma.f64 a (/.f64 1/3 (sqrt.f64 a)) (/.f64 -1/9 (sqrt.f64 a))))
(+.f64 (*.f64 rand (/.f64 -1/9 (sqrt.f64 a))) (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 rand (fma.f64 a (/.f64 1/3 (sqrt.f64 a)) (/.f64 -1/9 (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a) (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1/3))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(+.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1/3) (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(+.f64 (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) rand) (*.f64 (/.f64 -1/9 (sqrt.f64 a)) rand))
(*.f64 rand (fma.f64 a (/.f64 1/3 (sqrt.f64 a)) (/.f64 -1/9 (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 -1/9 (sqrt.f64 a)) rand) (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) rand))
(*.f64 rand (fma.f64 a (/.f64 1/3 (sqrt.f64 a)) (/.f64 -1/9 (sqrt.f64 a))))
(+.f64 (*.f64 -1/3 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (*.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(+.f64 (*.f64 rand (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) 1)) (*.f64 rand (*.f64 (/.f64 -1/9 (sqrt.f64 a)) 1)))
(*.f64 rand (fma.f64 a (/.f64 1/3 (sqrt.f64 a)) (/.f64 -1/9 (sqrt.f64 a))))
(+.f64 (*.f64 1 (*.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) (*.f64 1 (*.f64 -1/3 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(+.f64 (*.f64 1 (*.f64 -1/3 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) (*.f64 1 (*.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(+.f64 (*.f64 1 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))) (*.f64 1 (*.f64 rand (/.f64 -1/9 (sqrt.f64 a)))))
(*.f64 rand (fma.f64 a (/.f64 1/3 (sqrt.f64 a)) (/.f64 -1/9 (sqrt.f64 a))))
(+.f64 (*.f64 1 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)) (*.f64 1 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1/3)))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(+.f64 (*.f64 1 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1/3)) (*.f64 1 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(+.f64 (*.f64 1 (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) rand)) (*.f64 1 (*.f64 (/.f64 -1/9 (sqrt.f64 a)) rand)))
(*.f64 rand (fma.f64 a (/.f64 1/3 (sqrt.f64 a)) (/.f64 -1/9 (sqrt.f64 a))))
(+.f64 (*.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1) a) (*.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1) -1/3))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(+.f64 (*.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1) -1/3) (*.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1) a))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))) 1)
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(/.f64 rand (/.f64 (sqrt.f64 a) (*.f64 1/3 (+.f64 a -1/3))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) 1)
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 1/3 (+.f64 a -1/3)) (/.f64 (sqrt.f64 a) rand))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (sqrt.f64 a))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 a a -1/9)) (+.f64 1/3 a))
(/.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (+.f64 1/3 a) (fma.f64 a a -1/9)))
(/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 -1/27 (pow.f64 a 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 a))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) 1) (sqrt.f64 a))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (pow.f64 a 1/4)) (pow.f64 a 1/4))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (*.f64 (pow.f64 a 1/4) (pow.f64 a 1/4)))
(/.f64 (+.f64 -1/9 (*.f64 1/3 a)) (/.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 a 1/4)) rand))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 a))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (*.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a))))
(/.f64 rand (*.f64 (cbrt.f64 a) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 a)) 1/3) (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (*.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a))))
(/.f64 rand (*.f64 (cbrt.f64 a) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 a)) 1/3) (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (*.f64 (sqrt.f64 (cbrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (pow.f64 1 1/2)) (sqrt.f64 a))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (*.f64 rand (*.f64 1/3 (+.f64 a -1/3))) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)) (pow.f64 (cbrt.f64 a) 1/2))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (*.f64 (sqrt.f64 (cbrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 a a -1/9)) 1) (+.f64 1/3 a))
(/.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (+.f64 1/3 a) (fma.f64 a a -1/9)))
(/.f64 (/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (+.f64 1/3 a))))
(/.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (*.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (+.f64 1/3 a))) (fma.f64 a a -1/9)))
(/.f64 (/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (+.f64 1/3 a)))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (+.f64 1/3 a)) (*.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (+.f64 1/3 a)))))
(/.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (*.f64 (cbrt.f64 (+.f64 1/3 a)) (*.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (+.f64 1/3 a)))) (fma.f64 a a -1/9)))
(/.f64 (/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))
(/.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (*.f64 (sqrt.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (sqrt.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))
(/.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (*.f64 (cbrt.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 (cbrt.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (cbrt.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) 1) (sqrt.f64 a))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (pow.f64 a 1/4)) (pow.f64 a 1/4))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (*.f64 (pow.f64 a 1/4) (pow.f64 a 1/4)))
(/.f64 (+.f64 -1/9 (*.f64 1/3 a)) (/.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 a 1/4)) rand))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 a))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (*.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a))))
(/.f64 rand (*.f64 (cbrt.f64 a) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 a)) 1/3) (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (*.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a))))
(/.f64 rand (*.f64 (cbrt.f64 a) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 a)) 1/3) (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (*.f64 (sqrt.f64 (cbrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (pow.f64 1 1/2)) (sqrt.f64 a))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)) (pow.f64 (cbrt.f64 a) 1/2))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (*.f64 (sqrt.f64 (cbrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)))
(pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) 1)
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) 2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3)))) 2)
(pow.f64 (sqrt.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) 3)
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(pow.f64 (pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) 3) 1/3)
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))) 2))
(sqrt.f64 (pow.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))) rand))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (log.f64 (exp.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) 3))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(exp.f64 (log.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) 1))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3))
(*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(+.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) (/.f64 -1/9 (sqrt.f64 a)))
(fma.f64 a (/.f64 1/3 (sqrt.f64 a)) (/.f64 -1/9 (sqrt.f64 a)))
(+.f64 (/.f64 -1/9 (sqrt.f64 a)) (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(fma.f64 a (/.f64 1/3 (sqrt.f64 a)) (/.f64 -1/9 (sqrt.f64 a)))
(+.f64 (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) 1) (*.f64 (/.f64 -1/9 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 1/3 (sqrt.f64 a)) (/.f64 -1/9 (sqrt.f64 a)))
(+.f64 (*.f64 (/.f64 -1/9 (sqrt.f64 a)) 1) (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) 1))
(fma.f64 a (/.f64 1/3 (sqrt.f64 a)) (/.f64 -1/9 (sqrt.f64 a)))
(+.f64 (*.f64 1 (*.f64 (*.f64 a (/.f64 1/3 (sqrt.f64 a))) 1)) (*.f64 1 (*.f64 (/.f64 -1/9 (sqrt.f64 a)) 1)))
(fma.f64 a (/.f64 1/3 (sqrt.f64 a)) (/.f64 -1/9 (sqrt.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))))) 1)
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))
(/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))
(/.f64 1/3 (/.f64 (*.f64 (sqrt.f64 a) (+.f64 1/3 a)) (fma.f64 a a -1/9)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(*.f64 (fma.f64 a a -1/9) (/.f64 -1/3 (*.f64 (-.f64 -1/3 a) (sqrt.f64 a))))
(/.f64 1/3 (/.f64 (*.f64 (sqrt.f64 a) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 1/3 (/.f64 (sqrt.f64 a) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))
(*.f64 1/3 (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (sqrt.f64 a)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))
(/.f64 -1/3 (/.f64 (neg.f64 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))
(/.f64 -1/3 (/.f64 (*.f64 (neg.f64 (sqrt.f64 a)) (+.f64 1/3 a)) (fma.f64 a a -1/9)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(*.f64 (fma.f64 a a -1/9) (/.f64 -1/3 (*.f64 (-.f64 -1/3 a) (sqrt.f64 a))))
(/.f64 -1/3 (/.f64 (*.f64 (neg.f64 (sqrt.f64 a)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 1/3 (/.f64 (sqrt.f64 a) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))
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(/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) 1)
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(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))) 3)) (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))) (-.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))) a)))) (sqrt.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))) (-.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))) a))))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))) 3)) (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (*.f64 rand (+.f64 a -1/3)) (-.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))) a))))) (sqrt.f64 (fma.f64 a a (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (*.f64 rand (+.f64 a -1/3)) (-.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))) a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) 3)) (*.f64 (cbrt.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) (-.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) a)))) (cbrt.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) (-.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) a)))))) (cbrt.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) (-.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) a)))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))) 3)) (*.f64 (cbrt.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))) (-.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))) a)))) (cbrt.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))) (-.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))) a)))))) (cbrt.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))) (-.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))) a)))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))) 3)) (cbrt.f64 (fma.f64 a a (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (*.f64 rand (+.f64 a -1/3)) (-.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))) a)))))) (*.f64 (cbrt.f64 (fma.f64 a a (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (*.f64 rand (+.f64 a -1/3)) (-.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))) a))))) (cbrt.f64 (fma.f64 a a (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (*.f64 rand (+.f64 a -1/3)) (-.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))) a)))))))
(pow.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a) 1)
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(pow.f64 (sqrt.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a)) 2)
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(pow.f64 (cbrt.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a)) 3)
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(pow.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a) 3) 1/3)
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(sqrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a) 2))
(sqrt.f64 (pow.f64 (fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a) 2))
(sqrt.f64 (pow.f64 (fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a) 2))
(log.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a)))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(cbrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a) 3))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(expm1.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a)))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(exp.f64 (log.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a)))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(exp.f64 (*.f64 (log.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a)) 1))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(log1p.f64 (expm1.f64 (fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a)))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))))
(fma.f64 rand (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) a)
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(fma.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))) rand a)
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(fma.f64 1 a (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(fma.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) a)
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) a)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3)))) 2) a)
(+.f64 a (pow.f64 (sqrt.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))) 2))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) 2) (cbrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))) a)
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)
(fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3) a)
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) a)
(fma.f64 rand (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) a)

eval758.0ms (6%)

Compiler

Compiled 42614 to 29879 computations (29.9% saved)

prune775.0ms (6.1%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New171221714
Fresh112
Picked101
Done1910
Total1715121727
Error
0b
Counts
1727 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
17.0b
(-.f64 a 1/3)
0.1b
(+.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (+.f64 a -1/3))
8.8b
(+.f64 (+.f64 a (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 a))) -1/3)
0.1b
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand) (+.f64 a -1/3))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
1.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
1.0b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
1.0b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
47.5b
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
47.5b
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
47.5b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
17.8b
a
Compiler

Compiled 140 to 110 computations (21.4% saved)

regimes54.0ms (0.4%)

Counts
23 → 1
Calls
Call 1
Inputs
a
(-.f64 a 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand) (+.f64 a -1/3))
(+.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (+.f64 a -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
(+.f64 (+.f64 a (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) -1/3)
(+.f64 (+.f64 a (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) -1/3)
(+.f64 (+.f64 a (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 a))) -1/3)
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(+.f64 (+.f64 a (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) -1/3)
(+.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
Outputs
(+.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
Calls

4 calls:

13.0ms
(-.f64 a (/.f64 1 3))
12.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
11.0ms
a
11.0ms
rand
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
0.1b1(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
0.1b1(-.f64 a (/.f64 1 3))
Compiler

Compiled 315 to 240 computations (23.8% saved)

regimes27.0ms (0.2%)

Counts
20 → 1
Calls
Call 1
Inputs
a
(-.f64 a 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand) (+.f64 a -1/3))
(+.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (+.f64 a -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
(+.f64 (+.f64 a (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) -1/3)
(+.f64 (+.f64 a (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) -1/3)
(+.f64 (+.f64 a (/.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 a))) -1/3)
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(+.f64 (+.f64 a (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) -1/3)
Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
Calls

2 calls:

9.0ms
a
9.0ms
rand
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
Compiler

Compiled 232 to 172 computations (25.9% saved)

regimes72.0ms (0.6%)

Counts
14 → 1
Calls
Call 1
Inputs
a
(-.f64 a 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand) (+.f64 a -1/3))
(+.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (+.f64 a -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
Calls

2 calls:

11.0ms
a
7.0ms
rand
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
Compiler

Compiled 144 to 108 computations (25% saved)

regimes19.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
a
(-.f64 a 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand) (+.f64 a -1/3))
(+.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (+.f64 a -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
Outputs
(+.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (+.f64 a -1/3))
Calls

2 calls:

8.0ms
rand
8.0ms
a
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
Compiler

Compiled 130 to 97 computations (25.4% saved)

regimes16.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
a
(-.f64 a 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand) (+.f64 a -1/3))
Outputs
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand) (+.f64 a -1/3))
Calls

2 calls:

7.0ms
a
6.0ms
rand
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
Compiler

Compiled 92 to 68 computations (26.1% saved)

regimes14.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
a
(-.f64 a 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
Calls

2 calls:

6.0ms
rand
6.0ms
a
Results
ErrorSegmentsBranch
1.0b1a
1.0b1rand
Compiler

Compiled 80 to 59 computations (26.3% saved)

regimes13.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
a
(-.f64 a 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
Calls

2 calls:

6.0ms
rand
5.0ms
a
Results
ErrorSegmentsBranch
1.0b1a
1.0b1rand
Compiler

Compiled 56 to 41 computations (26.8% saved)

regimes31.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
a
(-.f64 a 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 a 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
Calls

2 calls:

17.0ms
a
13.0ms
rand
Results
ErrorSegmentsBranch
15.3b3a
5.0b3rand
Compiler

Compiled 44 to 32 computations (27.3% saved)

bsearch51.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
36.0ms
1.3472520977016634e+76
8.404444756385739e+86
15.0ms
-7.395419591581898e+87
-4.132202232387385e+85
Results
48.0ms272×body256valid
Compiler

Compiled 316 to 261 computations (17.4% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.8b remaining (-4.6%)

Threshold costs -0.8b (-4.6%)

Counts
2 → 1
Calls
Call 1
Inputs
a
(-.f64 a 1/3)
Outputs
(-.f64 a 1/3)
Calls

2 calls:

3.0ms
a
3.0ms
rand
Results
ErrorSegmentsBranch
17.0b1a
17.0b1rand
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
22×*-commutative
18×+-commutative
sub-neg
1-exp
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058332
192332
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (+.f64 a -1/3))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
(if (<=.f64 rand -55999999999999998058620394201567374760420062409610502339158615213353974333054610571264) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 57000000000000000432714404304025380823142798747212151825304453053010052907008) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(-.f64 a 1/3)
a
Outputs
(+.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 3 rand)) (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 3 rand)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3) rand) (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (*.f64 rand (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1/3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
(if (<=.f64 rand -55999999999999998058620394201567374760420062409610502339158615213353974333054610571264) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 57000000000000000432714404304025380823142798747212151825304453053010052907008) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (or (<=.f64 rand -55999999999999998058620394201567374760420062409610502339158615213353974333054610571264) (not (<=.f64 rand 57000000000000000432714404304025380823142798747212151825304453053010052907008))) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(-.f64 a 1/3)
(+.f64 a -1/3)
a
Compiler

Compiled 136 to 107 computations (21.3% saved)

soundness1.2s (9.4%)

Algorithm
egg-herbie
Rules
2016×fma-def
1040×associate-+l+
954×associate--r+
884×distribute-lft-in
662×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01747
13441
28737
323137
450537
593137
6206137
7326037
8524837
9647637
10656737
11683737
12684537
13739837
14739837
Stop Event
saturated
Compiler

Compiled 183 to 156 computations (14.8% saved)

end72.0ms (0.6%)

Compiler

Compiled 118 to 89 computations (24.6% saved)

Profiling

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