Details

Time bar (total: 11.0s)

analyze92.0ms (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)

sample1.7s (15.7%)

Results
1.6s8256×body256valid
78.0ms641×body256infinite
70.0ms570×body256invalid
Bogosity

preprocess80.0ms (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)

simplify179.0ms (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)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.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)
0.6b
(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
Compiler

Compiled 67 to 54 computations (19.4% saved)

series12.0ms (0.1%)

Counts
4 → 42
Calls

18 calls:

TimeVariablePointExpression
1.0ms
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)))

rewrite163.0ms (1.5%)

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)))))))

simplify179.0ms (1.6%)

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))))))

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 9 a) -3)
0.1b
(*.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)))
0.6b
(sqrt.f64 (+.f64 (*.f64 9 a) -3))
Compiler

Compiled 57 to 44 computations (22.8% saved)

series50.0ms (0.5%)

Counts
4 → 50
Calls

18 calls:

TimeVariablePointExpression
42.0ms
a
@inf
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))
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
@0
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))

rewrite155.0ms (1.4%)

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)))))

simplify268.0ms (2.4%)

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)

eval731.0ms (6.7%)

Compiler

Compiled 23243 to 18269 computations (21.4% saved)

prune287.0ms (2.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New88811899
Fresh000
Picked101
Done101
Total89011901
Error
0.0b
Counts
901 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (/.f64 1 (+.f64 a -1/3)))
12.0b
(/.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (/.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (+.f64 a -1/3)))
11.8b
(/.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)))
0.2b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
18.0b
(-.f64 a 1/3)
0.1b
(+.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
1.4b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
45.4b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
45.4b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
18.8b
a
Compiler

Compiled 321 to 254 computations (20.9% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 a 9 -3)
0.2b
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))
0.3b
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
0.6b
(sqrt.f64 (fma.f64 a 9 -3))
Compiler

Compiled 54 to 40 computations (25.9% saved)

series9.0ms (0.1%)

Counts
4 → 36
Calls

15 calls:

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

rewrite119.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1850×associate-*r/
1482×associate-*l/
1068×associate-/r*
294×add-sqr-sqrt
282×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01478
129678
2365278
Stop Event
node limit
Counts
4 → 253
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 a 9 -3))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 a 9 -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3))))))))
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(*.f64 (+.f64 a -1/3) rand)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 3) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 a 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 (*.f64 a 9) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a 9) 1) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a 9 -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a 9 -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) 9) (-.f64 (*.f64 a 9) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (pow.f64 (*.f64 a 9) 3)) (+.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) (-.f64 9 (*.f64 (*.f64 a 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) 9)) (-.f64 (*.f64 a 9) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 -27 (pow.f64 (*.f64 a 9) 3))) (+.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) (-.f64 9 (*.f64 (*.f64 a 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) 9) 1) (-.f64 (*.f64 a 9) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -27 (pow.f64 (*.f64 a 9) 3)) 1) (+.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) (-.f64 9 (*.f64 (*.f64 a 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a 9 -3)))))))

simplify144.0ms (1.3%)

Algorithm
egg-herbie
Rules
1388×times-frac
826×associate-/r*
804×associate-*r*
778×associate-*l*
730×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067010809
1172710631
2760510631
Stop Event
node limit
Counts
289 → 348
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 -1/3 (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a))
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a)))
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a) (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.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 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (pow.f64 a 3)))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 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 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(+.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 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -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 a 9 -3)))) 1)
(*.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))
(pow.f64 (fma.f64 a 9 -3) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) 3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 a 9 -3)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))) 1)
(*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 1)
(*.f64 1 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))
(*.f64 (-.f64 1/3 a) (/.f64 -1 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 a -1/3) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)) -1)
(neg.f64 (/.f64 (+.f64 a -1/3) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3)))
(log.f64 (exp.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(exp.f64 (log.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) 1)
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1)
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (+.f64 a -1/3) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (*.f64 rand (-.f64 1/3 a)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a 1/3)))
(/.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (-.f64 1/3 a) rand) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 rand 1) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))
(/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (*.f64 (fma.f64 a a -1/9) (pow.f64 (fma.f64 a 9 -3) -1/2))) (+.f64 a 1/3))
(/.f64 (*.f64 rand (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (pow.f64 (fma.f64 a 9 -3) -1/2))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) 1)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand -1) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 rand (*.f64 (fma.f64 a a -1/9) 1)) (*.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1)) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (neg.f64 (-.f64 1/3 a))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 1 (*.f64 rand (-.f64 1/3 a))) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 1 (*.f64 (-.f64 1/3 a) rand)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 1 (neg.f64 (*.f64 (+.f64 a -1/3) rand))) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 2) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) 1) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (sqrt.f64 (-.f64 1/3 a))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 (*.f64 rand (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3)))) 1) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 (*.f64 rand (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3)))) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (*.f64 rand (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3)))) (cbrt.f64 (-.f64 1/3 a))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 (/.f64 rand 1) (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand 1) 1) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))
(/.f64 (*.f64 (/.f64 rand 1) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 rand 1) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 rand 1) (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a 1/3)))
(/.f64 (*.f64 (/.f64 rand 1) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (/.f64 rand 1) (-.f64 1/3 a)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (/.f64 rand 1) (*.f64 (fma.f64 a a -1/9) (pow.f64 (fma.f64 a 9 -3) -1/2))) (+.f64 a 1/3))
(/.f64 (*.f64 (/.f64 rand 1) (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (pow.f64 (fma.f64 a 9 -3) -1/2))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 rand 1) (/.f64 (+.f64 a -1/3) 1)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand 1) (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 (/.f64 rand 1) (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (/.f64 rand 1) -1) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 rand 1) (*.f64 (fma.f64 a a -1/9) 1)) (*.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (/.f64 rand 1) (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1)) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (/.f64 rand 1) (neg.f64 (-.f64 1/3 a))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)) (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 -1 rand) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(/.f64 (*.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a 1/3))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (-.f64 -1/3 a))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) rand) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) (pow.f64 (fma.f64 a 9 -3) -1/2)) rand) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (pow.f64 (fma.f64 a 9 -3) -1/2)) rand) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) 1) rand) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4)) rand) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) 1) rand) (*.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) rand) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (neg.f64 (-.f64 1/3 a)) rand) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 (*.f64 rand (-.f64 1/3 a)) 1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (*.f64 (-.f64 1/3 a) rand) 1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) 1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) 1) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) 1) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 1 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/3 a)) (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (*.f64 rand (fma.f64 a a -1/9)) (pow.f64 (fma.f64 a 9 -3) -1/2)) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (pow.f64 (fma.f64 a 9 -3) -1/2)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 rand (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 -1/27 (pow.f64 a 3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 1)) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (+.f64 a -1/3)))
(/.f64 (/.f64 rand (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(/.f64 (/.f64 rand (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 1 1/2)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) 1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (cbrt.f64 (fma.f64 a 9 -3))) (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) -1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (neg.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) 1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (cbrt.f64 (fma.f64 a 9 -3))) (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) -1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (neg.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) 1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (pow.f64 1 1/2)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) 1) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) 1) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (fma.f64 a 9 -3))) (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) -1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 2))
(log.f64 (pow.f64 (exp.f64 rand) (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 3) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(+.f64 -3 (*.f64 a 9))
(+.f64 -3 (*.f64 (*.f64 a 9) 1))
(+.f64 (*.f64 a 9) -3)
(+.f64 (*.f64 (*.f64 a 9) 1) -3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 9 -3))) 1)
(*.f64 (fma.f64 a 9 -3) 1)
(*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 1 (fma.f64 a 9 -3))
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (pow.f64 (fma.f64 a 9 -3) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (-.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) 9) (-.f64 (*.f64 a 9) -3))
(/.f64 (+.f64 -27 (pow.f64 (*.f64 a 9) 3)) (+.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) (-.f64 9 (*.f64 (*.f64 a 9) -3))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) 9)) (-.f64 (*.f64 a 9) -3))
(/.f64 (*.f64 1 (+.f64 -27 (pow.f64 (*.f64 a 9) 3))) (+.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) (-.f64 9 (*.f64 (*.f64 a 9) -3))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) 9) 1) (-.f64 (*.f64 a 9) -3))
(/.f64 (*.f64 (+.f64 -27 (pow.f64 (*.f64 a 9) 3)) 1) (+.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) (-.f64 9 (*.f64 (*.f64 a 9) -3))))
(pow.f64 (fma.f64 a 9 -3) 1)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))
(log.f64 (exp.f64 (fma.f64 a 9 -3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 9 -3))))
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3))
(expm1.f64 (log1p.f64 (fma.f64 a 9 -3)))
(exp.f64 (log.f64 (fma.f64 a 9 -3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 a 9 -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 -1/3 (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a))
(fma.f64 -1/3 (sqrt.f64 -1/3) (*.f64 a (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3)))))
(fma.f64 a (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) (*.f64 -1/3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a)))
(fma.f64 -1/3 (sqrt.f64 -1/3) (fma.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (neg.f64 (/.f64 1/2 (sqrt.f64 -1/3)))) (*.f64 a a) (*.f64 a (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))))))
(fma.f64 -1/3 (sqrt.f64 -1/3) (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))) (*.f64 a (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))))))
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a) (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.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 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (pow.f64 a 3)))))
(fma.f64 -1/3 (sqrt.f64 -1/3) (fma.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (neg.f64 (/.f64 1/2 (sqrt.f64 -1/3)))) (*.f64 a a) (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) a (*.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 (+.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 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))))))))
(fma.f64 -1/3 (sqrt.f64 -1/3) (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))) (fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9) (sqrt.f64 -1/3)) (/.f64 (+.f64 -3/2 (*.f64 -1/2 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3))) (*.f64 a (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3)))))))
(*.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.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 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (*.f64 -1/3 rand) (sqrt.f64 -1/3)))
(fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) rand)) (*.f64 (sqrt.f64 -1/3) (*.f64 -1/3 rand)))
(+.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 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(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)))) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (*.f64 -1/3 rand) (sqrt.f64 -1/3))))
(fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (/.f64 (+.f64 1/2 (*.f64 1/6 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (/.f64 (sqrt.f64 -1/3) rand))) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) rand)) (*.f64 (sqrt.f64 -1/3) (*.f64 -1/3 rand))))
(+.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 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 (*.f64 (+.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)))) rand) (sqrt.f64 -1/3)) (*.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)))) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (*.f64 -1/3 rand) (sqrt.f64 -1/3)))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand) (/.f64 (*.f64 1/6 (*.f64 (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9) rand)) (sqrt.f64 -1/3))) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (/.f64 (+.f64 1/2 (*.f64 1/6 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (/.f64 (sqrt.f64 -1/3) rand))) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) rand)) (*.f64 (sqrt.f64 -1/3) (*.f64 -1/3 rand)))))
-3
(-.f64 (*.f64 9 a) 3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 a 9 -3)
(*.f64 9 a)
(*.f64 a 9)
(-.f64 (*.f64 9 a) 3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 a 9 -3)
(*.f64 9 a)
(*.f64 a 9)
(-.f64 (*.f64 9 a) 3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 a 9 -3)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1)
(sqrt.f64 (fma.f64 a 9 -3))
(*.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)
(sqrt.f64 (fma.f64 a 9 -3))
(*.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))
(sqrt.f64 (fma.f64 a 9 -3))
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 1/4))
(sqrt.f64 (fma.f64 a 9 -3))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 9 -3)))
(sqrt.f64 (fma.f64 a 9 -3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(pow.f64 (fma.f64 a 9 -3) 1/2)
(sqrt.f64 (fma.f64 a 9 -3))
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)
(sqrt.f64 (fma.f64 a 9 -3))
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 2)
(sqrt.f64 (fma.f64 a 9 -3))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) 3)
(sqrt.f64 (fma.f64 a 9 -3))
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 a 9 -3)))
(sqrt.f64 (fma.f64 a 9 -3))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(sqrt.f64 (fma.f64 a 9 -3))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(sqrt.f64 (fma.f64 a 9 -3))
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(sqrt.f64 (fma.f64 a 9 -3))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(sqrt.f64 (fma.f64 a 9 -3))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1/2))
(sqrt.f64 (fma.f64 a 9 -3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 1))
(sqrt.f64 (fma.f64 a 9 -3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(sqrt.f64 (fma.f64 a 9 -3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))) 1)
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 1)
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 1 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3))))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (-.f64 1/3 a) (/.f64 -1 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 a -1/3) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 a -1/3) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (fma.f64 a 9 -3))))
(pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 1)
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) 2)
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) 3)
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 3) 1/3)
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)) -1)
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(neg.f64 (/.f64 (+.f64 a -1/3) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3)))
(log.f64 (exp.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 3))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(exp.f64 (log.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) 1))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) 1)
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1)
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (+.f64 a -1/3) rand)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (-.f64 1/3 a)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a 1/3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (-.f64 1/3 a) rand) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (/.f64 rand 1) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (*.f64 (fma.f64 a a -1/9) (pow.f64 (fma.f64 a 9 -3) -1/2))) (+.f64 a 1/3))
(/.f64 rand (/.f64 (+.f64 a 1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (fma.f64 a a -1/9))))
(*.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2))
(/.f64 (*.f64 rand (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (pow.f64 (fma.f64 a 9 -3) -1/2))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 rand (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 rand (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) 1)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (*.f64 rand -1) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (*.f64 (fma.f64 a a -1/9) 1)) (*.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 rand (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1)) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 rand (neg.f64 (-.f64 1/3 a))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 1 (*.f64 rand (-.f64 1/3 a))) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 1 (*.f64 (-.f64 1/3 a) rand)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (*.f64 1 (neg.f64 (*.f64 (+.f64 a -1/3) rand))) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (pow.f64 (fma.f64 a 9 -3) 1/4)) (sqrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 2) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) 2) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 rand (+.f64 a -1/3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (*.f64 rand (+.f64 a -1/3))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) 1) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (sqrt.f64 (-.f64 1/3 a))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (-.f64 1/3 a))))
(*.f64 (/.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (*.f64 rand (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3)))) 1) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 rand (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 (*.f64 rand (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3)))) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3))) (cbrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (*.f64 rand (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (*.f64 rand (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3)))) (cbrt.f64 (-.f64 1/3 a))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 rand (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3)))) (/.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (-.f64 1/3 a))))
(*.f64 (/.f64 (*.f64 rand (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (fma.f64 a 9 -3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (/.f64 rand 1) (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand 1) 1) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand 1) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand 1) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand 1) (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a 1/3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 (/.f64 rand 1) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (/.f64 rand 1) (-.f64 1/3 a)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand 1) (*.f64 (fma.f64 a a -1/9) (pow.f64 (fma.f64 a 9 -3) -1/2))) (+.f64 a 1/3))
(/.f64 rand (/.f64 (+.f64 a 1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (fma.f64 a a -1/9))))
(*.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2))
(/.f64 (*.f64 (/.f64 rand 1) (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (pow.f64 (fma.f64 a 9 -3) -1/2))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 rand (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 rand (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (/.f64 rand 1) (/.f64 (+.f64 a -1/3) 1)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand 1) (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand 1) (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (*.f64 (/.f64 rand 1) -1) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand 1) (*.f64 (fma.f64 a a -1/9) 1)) (*.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 (/.f64 rand 1) (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1)) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (/.f64 rand 1) (neg.f64 (-.f64 1/3 a))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)) (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 -1 rand) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a 1/3))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 (+.f64 (neg.f64 a) -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (neg.f64 rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (fma.f64 a a -1/9))) (-.f64 -1/3 a))
(/.f64 (*.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (/.f64 (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (-.f64 1/27 (pow.f64 a 3)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (-.f64 -1/3 a))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 (+.f64 (neg.f64 a) -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (neg.f64 rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (fma.f64 a a -1/9))) (-.f64 -1/3 a))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a 1/3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) rand) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) (pow.f64 (fma.f64 a 9 -3) -1/2)) rand) (+.f64 a 1/3))
(/.f64 rand (/.f64 (+.f64 a 1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (fma.f64 a a -1/9))))
(*.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2))
(/.f64 (*.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (pow.f64 (fma.f64 a 9 -3) -1/2)) rand) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 rand (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 rand (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) 1) rand) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4)) rand) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) 1) rand) (*.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) rand) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1/3 a)) rand) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (*.f64 rand (-.f64 1/3 a)) 1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (*.f64 (-.f64 1/3 a) rand) 1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) 1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) 1) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) 1) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (pow.f64 (fma.f64 a 9 -3) 1/4)) (sqrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 1 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/3 a)) (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (-.f64 1/3 a))))
(*.f64 (/.f64 (/.f64 rand (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (-.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) 2) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 rand (+.f64 a -1/3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (*.f64 rand (+.f64 a -1/3))))
(/.f64 (*.f64 (*.f64 rand (fma.f64 a a -1/9)) (pow.f64 (fma.f64 a 9 -3) -1/2)) (+.f64 a 1/3))
(/.f64 rand (/.f64 (+.f64 a 1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (fma.f64 a a -1/9))))
(*.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3)) (pow.f64 (fma.f64 a 9 -3) -1/2))
(/.f64 (*.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (pow.f64 (fma.f64 a 9 -3) -1/2)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 rand (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 rand (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (/.f64 rand (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (fma.f64 a a -1/9))) (+.f64 a 1/3))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 -1/27 (pow.f64 a 3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (/.f64 rand (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 rand (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 rand (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 1)) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (+.f64 a -1/3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 rand (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 rand (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 rand (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (/.f64 rand (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (*.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 rand (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (*.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))))
(*.f64 (/.f64 (+.f64 a -1/3) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (/.f64 rand (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 1 1/2)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))))
(*.f64 (/.f64 (+.f64 a -1/3) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (/.f64 rand (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) 1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (cbrt.f64 (fma.f64 a 9 -3))) (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) -1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (neg.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) 1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (cbrt.f64 (fma.f64 a 9 -3))) (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) -1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (neg.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) 1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))))
(*.f64 (/.f64 (+.f64 a -1/3) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (/.f64 rand (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (pow.f64 1 1/2)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))))
(*.f64 (/.f64 (+.f64 a -1/3) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (/.f64 rand (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) 1) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 rand (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (/.f64 (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 rand (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (/.f64 (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) 1) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (fma.f64 a 9 -3))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 rand (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (fma.f64 a 9 -3))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (fma.f64 a 9 -3))) (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) -1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (pow.f64 (fma.f64 a 9 -3) 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) rand)
(pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1)
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 2)
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 3)
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3) 1/3)
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 2))
(fabs.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(log.f64 (pow.f64 (exp.f64 rand) (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 3) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) 3) (pow.f64 rand 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 1))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(+.f64 -3 (*.f64 a 9))
(fma.f64 a 9 -3)
(+.f64 -3 (*.f64 (*.f64 a 9) 1))
(fma.f64 a 9 -3)
(+.f64 (*.f64 a 9) -3)
(fma.f64 a 9 -3)
(+.f64 (*.f64 (*.f64 a 9) 1) -3)
(fma.f64 a 9 -3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 9 -3))) 1)
(fma.f64 a 9 -3)
(*.f64 (fma.f64 a 9 -3) 1)
(fma.f64 a 9 -3)
(*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (fma.f64 a 9 -3)))
(fma.f64 a 9 -3)
(*.f64 1 (fma.f64 a 9 -3))
(fma.f64 a 9 -3)
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 a 9 -3)
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))
(fma.f64 a 9 -3)
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) 4))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3)))
(fma.f64 a 9 -3)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (pow.f64 (fma.f64 a 9 -3) 1/4))
(fma.f64 a 9 -3)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) 4))
(/.f64 (-.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) 9) (-.f64 (*.f64 a 9) -3))
(/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (fma.f64 a 9 3))
(/.f64 (fma.f64 a (*.f64 81 a) -9) (fma.f64 a 9 3))
(/.f64 (+.f64 -27 (pow.f64 (*.f64 a 9) 3)) (+.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) (-.f64 9 (*.f64 (*.f64 a 9) -3))))
(/.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729)) (+.f64 (*.f64 (*.f64 a a) 81) (-.f64 9 (*.f64 a -27))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 (fma.f64 a (*.f64 81 a) 9) (*.f64 a 27)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) 9)) (-.f64 (*.f64 a 9) -3))
(/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (fma.f64 a 9 3))
(/.f64 (fma.f64 a (*.f64 81 a) -9) (fma.f64 a 9 3))
(/.f64 (*.f64 1 (+.f64 -27 (pow.f64 (*.f64 a 9) 3))) (+.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) (-.f64 9 (*.f64 (*.f64 a 9) -3))))
(/.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729)) (+.f64 (*.f64 (*.f64 a a) 81) (-.f64 9 (*.f64 a -27))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 (fma.f64 a (*.f64 81 a) 9) (*.f64 a 27)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) 9) 1) (-.f64 (*.f64 a 9) -3))
(/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (fma.f64 a 9 3))
(/.f64 (fma.f64 a (*.f64 81 a) -9) (fma.f64 a 9 3))
(/.f64 (*.f64 (+.f64 -27 (pow.f64 (*.f64 a 9) 3)) 1) (+.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) (-.f64 9 (*.f64 (*.f64 a 9) -3))))
(/.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729)) (+.f64 (*.f64 (*.f64 a a) 81) (-.f64 9 (*.f64 a -27))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 (fma.f64 a (*.f64 81 a) 9) (*.f64 a 27)))
(pow.f64 (fma.f64 a 9 -3) 1)
(fma.f64 a 9 -3)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)
(fma.f64 a 9 -3)
(pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3)
(fma.f64 a 9 -3)
(pow.f64 (pow.f64 (fma.f64 a 9 -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 a 9 -3) 3) 1/3)
(fma.f64 a 9 -3)
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))
(fabs.f64 (fma.f64 a 9 -3))
(log.f64 (exp.f64 (fma.f64 a 9 -3)))
(fma.f64 a 9 -3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 9 -3))))
(fma.f64 a 9 -3)
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3))
(fma.f64 a 9 -3)
(expm1.f64 (log1p.f64 (fma.f64 a 9 -3)))
(fma.f64 a 9 -3)
(exp.f64 (log.f64 (fma.f64 a 9 -3)))
(fma.f64 a 9 -3)
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1))
(fma.f64 a 9 -3)
(log1p.f64 (expm1.f64 (fma.f64 a 9 -3)))
(fma.f64 a 9 -3)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 a 1/3)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite47.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1180×add-sqr-sqrt
1154×*-un-lft-identity
1110×pow1
1090×add-cube-cbrt
1082×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11137
214017
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(-.f64 a 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (+.f64 (pow.f64 a 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))))

simplify63.0ms (0.6%)

Algorithm
egg-herbie
Rules
1418×associate-/r/
884×fma-def
866×associate-*r*
706×*-commutative
688×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075503
1166423
2597423
32898413
47361413
Stop Event
node limit
Counts
33 → 34
Calls
Call 1
Inputs
-1/3
a
a
(+.f64 a -1/3)
(+.f64 -1/3 a)
(*.f64 (+.f64 a -1/3) 1)
(*.f64 1 (+.f64 a -1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(/.f64 1 (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (-.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 (pow.f64 a 3) -1/27) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(pow.f64 (+.f64 a -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(log.f64 (exp.f64 (+.f64 a -1/3)))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 a -1/3)))
(exp.f64 (log.f64 (+.f64 a -1/3)))
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(fma.f64 1 a -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
Outputs
-1/3
a
a
(+.f64 a -1/3)
(+.f64 -1/3 a)
(+.f64 -1/3 a)
(*.f64 (+.f64 a -1/3) 1)
(+.f64 -1/3 a)
(*.f64 1 (+.f64 a -1/3))
(+.f64 -1/3 a)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))
(+.f64 -1/3 a)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 a 1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(/.f64 1 (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 a 1/3) 1/9))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.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 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 a 1/3) 1/9))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 a 1/3) 1/9))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 a 1/3) 1/9))
(pow.f64 (+.f64 a -1/3) 1)
(+.f64 -1/3 a)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(+.f64 -1/3 a)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(+.f64 -1/3 a)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(+.f64 -1/3 a)
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(+.f64 -1/3 a)
(log.f64 (exp.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(+.f64 -1/3 a)
(expm1.f64 (log1p.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(exp.f64 (log.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(fma.f64 1 a -1/3)
(+.f64 -1/3 a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(+.f64 -1/3 a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
(+.f64 -1/3 a)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series5.0ms (0%)

Counts
4 → 32
Calls

15 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))
1.0ms
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
a
@-inf
(sqrt.f64 (+.f64 -1/3 a))

rewrite90.0ms (0.8%)

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
01148
122948
2274748
Stop Event
node limit
Counts
4 → 181
Calls
Call 1
Inputs
(*.f64 1/3 rand)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(sqrt.f64 (+.f64 -1/3 a))
(+.f64 -1/3 a)
Outputs
((#(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 (pow.f64 (*.f64 1/3 rand) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) 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 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) (exp.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 -1/3 a) (pow.f64 (*.f64 1/3 rand) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 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 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))))))
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(cbrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 (sqrt.f64 (+.f64 -1/3 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 1/81 (pow.f64 a 4)) (/.f64 1 (-.f64 -1/3 a))) (+.f64 (*.f64 a a) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/729 (pow.f64 (*.f64 a a) 3)) (/.f64 1 (-.f64 -1/3 a))) (+.f64 1/81 (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/729 (pow.f64 a 6)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (-.f64 -1/27 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (+.f64 1/729 (+.f64 (pow.f64 a 6) (*.f64 1/27 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) 1) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (cbrt.f64 (-.f64 -1/3 a)) (cbrt.f64 (-.f64 -1/3 a)))) (cbrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (exp.f64 (log.f64 (+.f64 2/3 a)))) 1) (+.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 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#<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) -1/3)))))

simplify103.0ms (0.9%)

Algorithm
egg-herbie
Rules
998×associate-*r/
772×associate-*r*
760×associate-*l/
708×associate-/r/
640×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04636639
111905927
248285855
Stop Event
node limit
Counts
213 → 292
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))))
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
(+.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 (pow.f64 (*.f64 1/3 rand) 2))
(log.f64 (pow.f64 (exp.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 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) 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 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) (exp.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) 1))
(pow.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 1)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 3) 1/3)
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (pow.f64 (*.f64 1/3 rand) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (sqrt.f64 (+.f64 -1/3 a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 -1/3 a) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(exp.f64 (log.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(+.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 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.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 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (sqrt.f64 (-.f64 -1/3 a))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))
(*.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))))
(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 a (/.f64 (-.f64 -1/3 a) a)))
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)
(*.f64 (+.f64 -1/3 a) 1)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 1 (+.f64 -1/3 a))
(*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (pow.f64 (+.f64 -1/3 a) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 -1/3 a)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.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 -1/3 a)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (pow.f64 (+.f64 -1/3 a) 1/4)) (pow.f64 (+.f64 -1/3 a) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (+.f64 -1/3 a)))
(*.f64 (+.f64 (*.f64 a a) -1/9) (/.f64 1 (+.f64 a 1/3)))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(*.f64 (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (+.f64 -1/27 (pow.f64 a 3)))
(*.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (neg.f64 (-.f64 -1/3 a))))
(*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (/.f64 1 (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3))))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (+.f64 -1/3 a))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 -1/3 a))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1/81 (pow.f64 (*.f64 a (+.f64 a 1/3)) 2))) (-.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/729 (pow.f64 (*.f64 a (+.f64 a 1/3)) 3))) (+.f64 1/81 (*.f64 (*.f64 a (+.f64 a 1/3)) (-.f64 (*.f64 a (+.f64 a 1/3)) 1/9))))
(*.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (+.f64 -1/3 a))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a)))) (*.f64 (cbrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3/2) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 -1/3 a) 2) 1/4) (pow.f64 (pow.f64 (+.f64 -1/3 a) 2) 1/4))
(*.f64 (pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/6) (pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/6))
(/.f64 1 (/.f64 1 (+.f64 -1/3 a)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 -1/3 a)) 1))
(/.f64 1 (/.f64 (+.f64 a 1/3) (+.f64 (*.f64 a a) -1/9)))
(/.f64 1 (/.f64 (neg.f64 (-.f64 -1/3 a)) (neg.f64 (-.f64 1/9 (*.f64 a a)))))
(/.f64 1 (/.f64 (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 (-.f64 -1/3 a) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (/.f64 (-.f64 -1/3 a) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (-.f64 -1/27 (pow.f64 a 3))))
(/.f64 (+.f64 (*.f64 a a) -1/9) (+.f64 a 1/3))
(/.f64 (-.f64 1/81 (pow.f64 a 4)) (*.f64 (-.f64 -1/3 a) (+.f64 (*.f64 a a) 1/9)))
(/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (+.f64 1/729 (+.f64 (pow.f64 a 6) (*.f64 1/27 (pow.f64 a 3))))))
(/.f64 (-.f64 1/729 (pow.f64 (*.f64 a a) 3)) (*.f64 (-.f64 -1/3 a) (+.f64 1/81 (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) 1/9)))))
(/.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) (neg.f64 (-.f64 -1/3 a)))
(/.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 1 (+.f64 (*.f64 a a) -1/9)) (+.f64 a 1/3))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (+.f64 (*.f64 a a) -1/9) 1) (+.f64 a 1/3))
(/.f64 (*.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) 1) (neg.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) 1) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (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 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (-.f64 1/81 (pow.f64 a 4)) (/.f64 1 (-.f64 -1/3 a))) (+.f64 (*.f64 a a) 1/9))
(/.f64 (*.f64 (-.f64 1/729 (pow.f64 (*.f64 a a) 3)) (/.f64 1 (-.f64 -1/3 a))) (+.f64 1/81 (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) 1/9))))
(/.f64 (*.f64 (-.f64 1/729 (pow.f64 a 6)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (-.f64 -1/27 (pow.f64 a 3)))
(/.f64 (*.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (+.f64 1/729 (+.f64 (pow.f64 a 6) (*.f64 1/27 (pow.f64 a 3)))))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) 1) (-.f64 -1/3 a))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (cbrt.f64 (-.f64 -1/3 a)) (cbrt.f64 (-.f64 -1/3 a)))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (exp.f64 (log.f64 (+.f64 2/3 a)))) 1) (+.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 1/9 (-.f64 -1/3 a))) (*.f64 (/.f64 a (/.f64 (-.f64 -1/3 a) a)) (/.f64 a (/.f64 (-.f64 -1/3 a) a)))) (+.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 a (/.f64 (-.f64 -1/3 a) a))))
(pow.f64 (+.f64 -1/3 a) 1)
(pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 2)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 4)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) 6)
(pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 2/3)
(neg.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (neg.f64 (-.f64 -1/3 a))))
(neg.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3))))))
(sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))
(log.f64 (exp.f64 (+.f64 -1/3 a)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 a))))
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3))
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(exp.f64 (log.f64 (+.f64 -1/3 a)))
(log1p.f64 (expm1.f64 (+.f64 -1/3 a)))
(fma.f64 1 a -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.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 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (/.f64 (*.f64 (*.f64 1/6 rand) 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 -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 (*.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))))))
(*.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))))
(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 (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)) (/.f64 (*.f64 3/8 (*.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 (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 (*.f64 3/8 (*.f64 a a)) (sqrt.f64 -1/3))))
-1/3
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) -1)
(*.f64 1/3 rand)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1)
(*.f64 1/3 rand)
(/.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))
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1) (*.f64 1/3 rand)) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 1/3 rand)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1))
(pow.f64 (*.f64 1/3 rand) 1)
(*.f64 1/3 rand)
(pow.f64 (sqrt.f64 (*.f64 1/3 rand)) 2)
(*.f64 1/3 rand)
(pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 3)
(*.f64 1/3 rand)
(pow.f64 (pow.f64 (*.f64 1/3 rand) 3) 1/3)
(*.f64 1/3 rand)
(sqrt.f64 (pow.f64 (*.f64 1/3 rand) 2))
(fabs.f64 (*.f64 1/3 rand))
(log.f64 (pow.f64 (exp.f64 1/3) rand))
(*.f64 1/3 rand)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 rand))))
(*.f64 1/3 rand)
(cbrt.f64 (pow.f64 (*.f64 1/3 rand) 3))
(*.f64 1/3 rand)
(expm1.f64 (log1p.f64 (*.f64 1/3 rand)))
(*.f64 1/3 rand)
(exp.f64 (log.f64 (*.f64 1/3 rand)))
(*.f64 1/3 rand)
(log1p.f64 (expm1.f64 (*.f64 1/3 rand)))
(*.f64 1/3 rand)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) -1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) 1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.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 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (-.f64 -1/3 a)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a))) (*.f64 1/3 rand))
(/.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 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 1/3 rand)) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (-.f64 -1/3 a)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a))) (*.f64 1/3 rand))
(/.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 1/3 (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (*.f64 (*.f64 1/3 rand) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)))
(*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(/.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 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 (cbrt.f64 (-.f64 -1/3 a)) (*.f64 1/3 (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (-.f64 -1/3 a))) (*.f64 1/3 (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (-.f64 -1/3 a))) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (*.f64 1/3 rand))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) (exp.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))))
(pow.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) 2)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) 3)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (pow.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 3) 1/3)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (pow.f64 (*.f64 1/3 rand) 2)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 1/3 rand) 2) (+.f64 -1/3 a)))
(sqrt.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 3))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 -1/3 a) 3/2)))
(cbrt.f64 (*.f64 (*.f64 1/27 (pow.f64 rand 3)) (pow.f64 (+.f64 -1/3 a) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(exp.f64 (log.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) -1)
(sqrt.f64 (+.f64 -1/3 a))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) 1)
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (pow.f64 1 1/2))
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 1 (sqrt.f64 (+.f64 -1/3 a)))
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (pow.f64 (+.f64 -1/3 a) 1/4))
(sqrt.f64 (+.f64 -1/3 a))
(*.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 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.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 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (fabs.f64 (cbrt.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 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)))
(*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (sqrt.f64 (-.f64 -1/3 a))))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (sqrt.f64 (cbrt.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 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (fabs.f64 (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1/3 a)))
(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 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (fabs.f64 (cbrt.f64 (+.f64 -1/3 a))))
(*.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 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (fabs.f64 (cbrt.f64 (+.f64 -1/3 a))))
(*.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)))))
(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 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 1/4)) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 1/4)))))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 1/4)) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 1/4))))
(*.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))))))
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(+.f64 -1/3 a)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 2/3)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2)) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2)))
(neg.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (neg.f64 (-.f64 -1/3 a))))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (*.f64 (/.f64 a (-.f64 -1/3 a)) a))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(neg.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3))))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (-.f64 -1/9 (*.f64 a (+.f64 1/3 a))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 -1/3 a) -1/9))
(sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))
(fabs.f64 (+.f64 -1/3 a))
(log.f64 (exp.f64 (+.f64 -1/3 a)))
(+.f64 -1/3 a)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 a))))
(+.f64 -1/3 a)
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3))
(+.f64 -1/3 a)
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(+.f64 -1/3 a)
(exp.f64 (log.f64 (+.f64 -1/3 a)))
(+.f64 -1/3 a)
(log1p.f64 (expm1.f64 (+.f64 -1/3 a)))
(+.f64 -1/3 a)
(fma.f64 1 a -1/3)
(+.f64 -1/3 a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(+.f64 -1/3 a)
(fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) -1/3)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 a 1/3)
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 48 to 34 computations (29.2% saved)

series3.0ms (0%)

Counts
3 → 12
Calls

15 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)

rewrite74.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
938×*-commutative
676×unswap-sqr
570×swap-sqr
440×associate-*r/
380×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051
121151
2259551
Stop Event
node limit
Counts
3 → 90
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(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 (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 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(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 (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 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) 1) (+.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 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1))))))) (#(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 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 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 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))))) (#(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 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 (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 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))))) (#(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 (sqrt.f64 (fma.f64 a a -1/9)) rand) (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 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 rand (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 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))))))) (#(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 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 log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))
((#(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 (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 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 1 1/2))))) (#(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 (fma.f64 a a -1/9)) (/.f64 1 (sqrt.f64 (+.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 1 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))))))) (#(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 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)))))) (#(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 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/6) (pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))))) (#(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 (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 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 (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 (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 (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 (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 (sqrt.f64 (fma.f64 a a -1/9)) 1) (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 (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 /.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 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1))))))) (#(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 log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))))))

simplify94.0ms (0.9%)

Algorithm
egg-herbie
Rules
992×associate-/l*
942×unswap-sqr
886×*-commutative
704×times-frac
672×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02723482
16543270
221223224
379213224
Stop Event
node limit
Counts
102 → 180
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))))))
(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 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.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 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 rand)) (sqrt.f64 (+.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 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1))))
(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 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 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 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))
(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))))
(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 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(/.f64 (*.f64 rand (sqrt.f64 (fma.f64 a a -1/9))) (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 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) rand) (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 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))))
(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 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)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 1 1/2))
(*.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 (fma.f64 a a -1/9)) (/.f64 1 (sqrt.f64 (+.f64 1/3 a))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 1 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)))
(*.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 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/6) (pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/6))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.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 (*.f64 1 (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 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.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 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a a -1/9))) (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 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (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 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.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 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1))))
(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))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.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 (*.f64 rand a)) (sqrt.f64 -1/3)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (/.f64 (*.f64 rand a) (/.f64 (sqrt.f64 -1/3) 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 (*.f64 rand a) (sqrt.f64 -1/3)) (/.f64 (*.f64 -1/24 (*.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)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))) (/.f64 (*.f64 rand a) (/.f64 (sqrt.f64 -1/3) 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 (*.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 rand (/.f64 a (sqrt.f64 -1/3))) (fma.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))) (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand) 1/48)))))
(*.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 (*.f64 a 1/2) rand) (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (*.f64 1/2 (/.f64 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 -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 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) 1/2 (*.f64 (*.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) 3/8) 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 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) 1/2 (fma.f64 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) 1/16 (*.f64 (*.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) 3/8) rand))))
(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 1/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) 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)))))
(fma.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.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 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -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 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.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 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (*.f64 1/3 rand))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 1/3 a))) (*.f64 rand (sqrt.f64 (fma.f64 a a -1/9))))
(/.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 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9))) (*.f64 1/3 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 rand)) (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 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (*.f64 1/3 rand))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 1/3 a))) (*.f64 rand (sqrt.f64 (fma.f64 a a -1/9))))
(/.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 (*.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 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9))) (*.f64 1/3 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) 1) (+.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 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) 3) -1) (+.f64 (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) 1) (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 3)) (+.f64 (exp.f64 (log1p.f64 (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 1 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -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 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(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 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(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 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(pow.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 1/3)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))
(sqrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 -1/3 a) 1/9)))
(sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))
(sqrt.f64 (*.f64 rand (*.f64 rand (fma.f64 a 1/9 -1/27))))
(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 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(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 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(cbrt.f64 (pow.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 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(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 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(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 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(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 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) -1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 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)) rand))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) rand)
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(/.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 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) rand))
(*.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 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 rand (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) rand) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) rand))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) rand)
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(/.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 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) rand))
(*.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 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 rand (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 rand (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 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (cbrt.f64 (fma.f64 a a -1/9)))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 rand (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)))) (*.f64 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 a (fma.f64 1/3 a 1/9)))) (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 (*.f64 rand (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 a -1/3))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (exp.f64 (*.f64 2 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/3)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(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 a -1/3))))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 -1/3 a) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) -1)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 1 1/2))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(*.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(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 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (sqrt.f64 (+.f64 1/3 a))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 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 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (fabs.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (fabs.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.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 -1/3 a))
(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 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (fabs.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (fabs.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))))
(*.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 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))))
(*.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 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 1/4))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3/2))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/6) (pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/6))
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.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 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.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 1 (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 1 (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 (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 (fma.f64 a a -1/9)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.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 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (/.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 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.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 (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 (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 (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 (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 (fma.f64 a a -1/9)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.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 (sqrt.f64 (+.f64 -1/3 a))) (/.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 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) 3) -1) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) (exp.f64 (*.f64 2 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (exp.f64 2) (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))))))
(pow.f64 (+.f64 a -1/3) 1/2)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (pow.f64 (+.f64 a -1/3) 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 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(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))
(sqrt.f64 (+.f64 a -1/3))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(sqrt.f64 (+.f64 a -1/3))

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)
0.4b
(/.f64 1/9 (+.f64 a -1/3))
6.5b
(*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))
10.9b
(/.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)))
Compiler

Compiled 103 to 72 computations (30.1% saved)

series14.0ms (0.1%)

Counts
4 → 70
Calls

21 calls:

TimeVariablePointExpression
3.0ms
a
@0
(/.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)))
2.0ms
a
@-inf
(/.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)))
2.0ms
a
@inf
(*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))
1.0ms
a
@inf
(/.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)))
1.0ms
rand
@inf
(/.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)))

rewrite115.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1848×associate-/r/
420×add-sqr-sqrt
404×pow1
404×*-un-lft-identity
392×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018138
1412102
25898102
Stop Event
node limit
Counts
4 → 177
Calls
Call 1
Inputs
(/.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 rand rand) (/.f64 1/9 (+.f64 a -1/3)))
(/.f64 1/9 (+.f64 a -1/3))
(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)
Outputs
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(*.f64 a a))) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 (neg.f64 (fma.f64 a a -1/9))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 (neg.f64 (+.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 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 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 1/3 (sqrt.f64 (+.f64 a -1/3))) 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 1/3 (/.f64 1/3 (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 1/3 (/.f64 1/3 (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 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 (+.f64 a -1/3))))))))
((#(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 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))))

simplify116.0ms (1.1%)

Algorithm
egg-herbie
Rules
824×associate-*r*
820×associate-/l*
794×*-commutative
648×associate-*r/
628×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060614657
1187613351
Stop Event
node limit
Counts
247 → 322
Calls
Call 1
Inputs
(-.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 -1/3 (/.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (*.f64 a (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) rand) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 a (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) rand) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2)))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3))))) rand) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3)))) (*.f64 -1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (pow.f64 a 2))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (*.f64 3 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2)))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3))))) (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand)) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3)))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 rand (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))) (*.f64 3/2 (/.f64 (*.f64 rand (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) rand) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3))))))) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3)))) (*.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)))) (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3))))))) (pow.f64 a 3)) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 a (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) rand) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2)))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3))))) rand) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3)))) (*.f64 -1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (pow.f64 a 2)))))
a
a
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 -1/3 (pow.f64 rand 2))
(+.f64 (*.f64 -1 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/3 (pow.f64 rand 2)))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 a 2) (pow.f64 rand 2))) (+.f64 (*.f64 -1 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/3 (pow.f64 rand 2))))
(+.f64 (*.f64 -3 (*.f64 (pow.f64 a 2) (pow.f64 rand 2))) (+.f64 (*.f64 -9 (*.f64 (pow.f64 a 3) (pow.f64 rand 2))) (+.f64 (*.f64 -1 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/3 (pow.f64 rand 2)))))
(*.f64 1/9 (/.f64 (pow.f64 rand 2) a))
(+.f64 (*.f64 1/9 (/.f64 (pow.f64 rand 2) a)) (*.f64 1/27 (/.f64 (pow.f64 rand 2) (pow.f64 a 2))))
(+.f64 (*.f64 1/81 (/.f64 (pow.f64 rand 2) (pow.f64 a 3))) (+.f64 (*.f64 1/9 (/.f64 (pow.f64 rand 2) a)) (*.f64 1/27 (/.f64 (pow.f64 rand 2) (pow.f64 a 2)))))
(+.f64 (*.f64 1/81 (/.f64 (pow.f64 rand 2) (pow.f64 a 3))) (+.f64 (*.f64 1/9 (/.f64 (pow.f64 rand 2) a)) (+.f64 (*.f64 1/243 (/.f64 (pow.f64 rand 2) (pow.f64 a 4))) (*.f64 1/27 (/.f64 (pow.f64 rand 2) (pow.f64 a 2))))))
(*.f64 1/9 (/.f64 (pow.f64 rand 2) a))
(+.f64 (*.f64 1/9 (/.f64 (pow.f64 rand 2) a)) (*.f64 1/27 (/.f64 (pow.f64 rand 2) (pow.f64 a 2))))
(+.f64 (*.f64 1/81 (/.f64 (pow.f64 rand 2) (pow.f64 a 3))) (+.f64 (*.f64 1/9 (/.f64 (pow.f64 rand 2) a)) (*.f64 1/27 (/.f64 (pow.f64 rand 2) (pow.f64 a 2)))))
(+.f64 (*.f64 1/81 (/.f64 (pow.f64 rand 2) (pow.f64 a 3))) (+.f64 (*.f64 1/9 (/.f64 (pow.f64 rand 2) a)) (+.f64 (*.f64 1/243 (/.f64 (pow.f64 rand 2) (pow.f64 a 4))) (*.f64 1/27 (/.f64 (pow.f64 rand 2) (pow.f64 a 2))))))
-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)))
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(*.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))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))))) 2) (+.f64 1 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))) (-.f64 1/3 a)) (neg.f64 (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))))) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))) (-.f64 1/3 a)) (neg.f64 (-.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)))) (+.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) 1) 1) (/.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) 1) 1) (/.f64 (+.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (-.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) 1) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) 1) (-.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (+.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) 1) (neg.f64 (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))))) (neg.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) 1) (neg.f64 (-.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)))) (neg.f64 (+.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) 1) (-.f64 1 (*.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))))))) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) 1) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) (sqrt.f64 (+.f64 1 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))))) (sqrt.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) (sqrt.f64 (+.f64 1 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)))) (sqrt.f64 (+.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))))) 2)) (cbrt.f64 (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))))) (cbrt.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)))) (cbrt.f64 (+.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))
(pow.f64 (*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) (+.f64 -1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))) 3) (pow.f64 (+.f64 1 (*.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))))
(exp.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))))
(+.f64 1 (-.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) 1))
(+.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) 0)
(-.f64 (+.f64 1 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))) 1)
(/.f64 1 (/.f64 (+.f64 a -1/3) (*.f64 (*.f64 rand rand) 1/9)))
(/.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 9))
(/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))
(/.f64 (*.f64 (*.f64 rand rand) -1/9) (-.f64 1/3 a))
(/.f64 (*.f64 -1/9 (*.f64 rand rand)) (-.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) 1) (+.f64 a -1/3))
(/.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (neg.f64 (*.f64 (*.f64 rand rand) 1/9)) (-.f64 1/3 a))
(pow.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) 1)
(pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))) 3)
(pow.f64 (pow.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 rand) rand) (/.f64 1/9 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))))
(cbrt.f64 (pow.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))))
(exp.f64 (log.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))) 1))
(log1p.f64 (expm1.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/9 (+.f64 a -1/3)))) 1)
(*.f64 1 (/.f64 1/9 (+.f64 a -1/3)))
(*.f64 1/9 (/.f64 1 (+.f64 a -1/3)))
(*.f64 1/9 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 1/9 (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (/.f64 1/9 (+.f64 a -1/3)) 1)
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) (*.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 2))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 2) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (+.f64 a -1/3)) 1/9)
(*.f64 -1/9 (/.f64 1 (-.f64 1/3 a)))
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4)) (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1/4))
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1/9 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 1/9 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (*.f64 1/9 (+.f64 a 1/3)))
(*.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 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 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 1/3 (sqrt.f64 (+.f64 a -1/3))) 1/3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (*.f64 1/3 (/.f64 1/3 (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 1/3 (/.f64 1/3 (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 (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 (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 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)))
(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 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 0)
(-.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(/.f64 (sqrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) 1/2)
(pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 3)
(pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)
(sqrt.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))
(fabs.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.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 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
Outputs
(-.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))
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(fma.f64 (neg.f64 (fma.f64 1/6 (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3)))) (/.f64 (*.f64 1/2 rand) (/.f64 (pow.f64 (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3))) 2) (/.f64 (-.f64 1 (*.f64 rand (*.f64 rand -1/3))) (sqrt.f64 -3))))) (sqrt.f64 -3)) (/.f64 (*.f64 rand (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3))))) (fma.f64 3/2 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3))))) (neg.f64 (fma.f64 3/2 (*.f64 (/.f64 rand (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3)))) (/.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3)))) (/.f64 (*.f64 1/2 rand) (/.f64 (pow.f64 (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3))) 2) (/.f64 (-.f64 1 (*.f64 rand (*.f64 rand -1/3))) (sqrt.f64 -3))))) (sqrt.f64 -3))) (*.f64 (/.f64 -1/18 (pow.f64 (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3))) 2)) (/.f64 (*.f64 rand (*.f64 (-.f64 1 (*.f64 rand (*.f64 rand -1/3))) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3)))))) (*.f64 -1/18 (*.f64 (/.f64 (-.f64 1 (*.f64 rand (*.f64 rand -1/3))) (/.f64 (sqrt.f64 -3) rand)) (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (pow.f64 (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3))) 2))))))) (pow.f64 a 3) (fma.f64 -1/3 (/.f64 (-.f64 1 (*.f64 rand (*.f64 rand -1/3))) (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3)))) (fma.f64 (*.f64 a a) (neg.f64 (fma.f64 3/2 (*.f64 (/.f64 rand (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3)))) (/.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3)))) (/.f64 (*.f64 1/2 rand) (/.f64 (pow.f64 (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3))) 2) (/.f64 (-.f64 1 (*.f64 rand (*.f64 rand -1/3))) (sqrt.f64 -3))))) (sqrt.f64 -3))) (*.f64 (/.f64 -1/18 (pow.f64 (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3))) 2)) (/.f64 (*.f64 rand (*.f64 (-.f64 1 (*.f64 rand (*.f64 rand -1/3))) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3))))) (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3)))) (/.f64 (*.f64 1/2 rand) (/.f64 (pow.f64 (+.f64 1 (*.f64 (*.f64 rand -1/3) (sqrt.f64 -3))) 2) (/.f64 (-.f64 1 (*.f64 rand (*.f64 rand -1/3))) (sqrt.f64 -3)))))))))
a
a
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
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(*.f64 (/.f64 rand (+.f64 -3 (*.f64 9 a))) rand)
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(*.f64 1/9 (/.f64 (*.f64 rand rand) (+.f64 a -1/3)))
(*.f64 (/.f64 rand (+.f64 -3 (*.f64 9 a))) rand)
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (*.f64 rand rand) (+.f64 a -1/3)))
(*.f64 (/.f64 rand (+.f64 -3 (*.f64 9 a))) rand)
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (*.f64 rand rand) (+.f64 a -1/3)))
(*.f64 (/.f64 rand (+.f64 -3 (*.f64 9 a))) rand)
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (*.f64 rand rand) (+.f64 a -1/3)))
(*.f64 (/.f64 rand (+.f64 -3 (*.f64 9 a))) rand)
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
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(*.f64 (/.f64 rand (+.f64 -3 (*.f64 9 a))) rand)
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (*.f64 rand rand) (+.f64 a -1/3)))
(*.f64 (/.f64 rand (+.f64 -3 (*.f64 9 a))) rand)
(*.f64 1/9 (/.f64 (pow.f64 rand 2) (-.f64 a 1/3)))
(*.f64 1/9 (/.f64 (*.f64 rand rand) (+.f64 a -1/3)))
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(*.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)))))
(*.f64 (/.f64 1/9 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))) (cbrt.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 1/9 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (cbrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 1/9 (*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (fma.f64 a a -1/9)))) (cbrt.f64 (+.f64 a 1/3)))
(pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 1)
(/.f64 1/9 (+.f64 a -1/3))
(pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 2)
(/.f64 1/9 (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 3)
(/.f64 1/9 (+.f64 a -1/3))
(pow.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2)) 1/2)
(sqrt.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2)))
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3) 1/3)
(/.f64 1/9 (+.f64 a -1/3))
(pow.f64 (*.f64 (+.f64 a -1/3) 9) -1)
(/.f64 1/9 (+.f64 a -1/3))
(sqrt.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2)))
(log.f64 (exp.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 1/9 (+.f64 a -1/3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(/.f64 1/9 (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3))
(/.f64 1/9 (+.f64 a -1/3))
(expm1.f64 (log1p.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 1/9 (+.f64 a -1/3))
(exp.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 1/9 (+.f64 a -1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(/.f64 1/9 (+.f64 a -1/3))
(log1p.f64 (expm1.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 1/9 (+.f64 a -1/3))
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 0)
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(-.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(/.f64 (sqrt.f64 (*.f64 (*.f64 rand rand) 1/9)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (sqrt.f64 (*.f64 rand (*.f64 rand 1/9))) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(pow.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)) 1/2)
(sqrt.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))
(sqrt.f64 (*.f64 -1/9 (/.f64 (*.f64 rand rand) (-.f64 1/3 a))))
(pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 2)
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 3)
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(sqrt.f64 (*.f64 rand (*.f64 (/.f64 rand (-.f64 1/3 a)) -1/9)))
(sqrt.f64 (*.f64 -1/9 (/.f64 (*.f64 rand rand) (-.f64 1/3 a))))
(fabs.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))

eval654.0ms (6%)

Compiler

Compiled 34605 to 26828 computations (22.5% saved)

prune369.0ms (3.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New128981297
Fresh246
Picked101
Done224
Total1294141308
Error
0b
Counts
1308 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
40.4b
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
0.1b
(-.f64 (+.f64 (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) a) 1/3)
1.4b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
21.8b
(-.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9))) a) 1/3)
18.0b
(-.f64 a 1/3)
1.4b
(+.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9)))))
45.4b
(*.f64 (pow.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 2) (*.f64 1/3 rand))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
1.4b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
45.4b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
46.5b
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
45.4b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
18.8b
a
63.0b
-1/3
Compiler

Compiled 279 to 217 computations (22.2% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 49 to 36 computations (26.5% saved)

series4.0ms (0%)

Counts
4 → 42
Calls

18 calls:

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

rewrite148.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1562×associate-*r/
1366×associate-*l/
312×associate-/r*
304×add-sqr-sqrt
292×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01382
129382
2388782
Stop Event
node limit
Counts
4 → 157
Calls
Call 1
Inputs
(*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 a -1/3))
(-.f64 (+.f64 (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) a) 1/3)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3)) 1) (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3)) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3)) (*.f64 (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) -1/3)))) (#(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))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)) (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) 1/9) (*.f64 rand rand))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)) 2) (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))))

simplify157.0ms (1.4%)

Algorithm
egg-herbie
Rules
1686×associate-/l*
1004×associate-/r*
862×associate-+l+
752×associate-+r+
738×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045611039
1113410713
2424110709
Stop Event
node limit
Counts
199 → 307
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))))))
(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 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 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 (exp.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(/.f64 (*.f64 1/3 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.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 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1/3) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) 1/3) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 1/3)) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 1/3)) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))
(log.f64 (pow.f64 (exp.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 1/3 (sqrt.f64 (+.f64 a -1/3))) 3))
(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 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -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 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (*.f64 1/3 rand) (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 1/3 rand) 1) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (*.f64 (*.f64 1/3 rand) 1) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 rand)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(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 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) 1/9) (*.f64 rand rand)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (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 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))
(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 (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 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 1 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 1/3 a)))
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(/.f64 (*.f64 (neg.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3))) 1) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) -1/9)) (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))) (sqrt.f64 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3))) (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) -1/9)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) 2)) (cbrt.f64 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) 2)) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2)) 1/81) (/.f64 1 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)))) (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) 1/9))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) 3) 1/729) (/.f64 1 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)))) (+.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2)) (+.f64 1/81 (*.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) 1/9))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3) (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3)) 1/729) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9))) (+.f64 1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3) 3) 1/19683) (/.f64 1 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9))) (+.f64 (+.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3) (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3)) 1/729) (*.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3) 1/27)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) -1/9) 1) (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) -1/9) (sqrt.f64 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)))) (sqrt.f64 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) -1/9) (*.f64 (cbrt.f64 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) (cbrt.f64 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))))) (cbrt.f64 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3)) 1) (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3)) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3)) (*.f64 (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)))
(pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (+.f64 a -1/3))
(fma.f64 1 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) -1/3)
(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))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)) (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)) -1/3)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) 1/9) (*.f64 rand rand))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)) 2) (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)) -1/3)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
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 a (sqrt.f64 -1/3))))
(fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 (*.f64 1/6 a) (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))))
(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 a (sqrt.f64 -1/3)))) (*.f64 1/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 (*.f64 1/6 a) (sqrt.f64 -1/3))) (*.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a))))
(+.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 1/3 (sqrt.f64 -1/3) (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (*.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a))) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 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 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 -1/3))
(*.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 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)))
(+.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 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 (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 a (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 (/.f64 (*.f64 a (*.f64 a rand)) 8) (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 (sqrt.f64 -1/3) rand) (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 (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 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/48 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (/.f64 (/.f64 (*.f64 a (*.f64 a rand)) 8) (sqrt.f64 -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))
(fma.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2 (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 (/.f64 a (sqrt.f64 -1/3)) 1/2 (sqrt.f64 -1/3)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2 (sqrt.f64 -1/3)) (*.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a))))
(+.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 (/.f64 a (sqrt.f64 -1/3)) 1/2 (sqrt.f64 -1/3)) (fma.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) 1/16 (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)))))
(+.f64 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2 (sqrt.f64 -1/3)) (fma.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) 1/16 (*.f64 3/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) 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))
(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 -1/3 (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))) (+.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))
(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 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 -1/3 (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))) (+.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 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(-.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) 1/3)
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) -1/3)
(fma.f64 (*.f64 1/3 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 (sqrt.f64 -1/3) rand) (*.f64 a (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3))))) -1/3)
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (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 (sqrt.f64 -1/3) rand) (fma.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 a (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3)))))) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 1/8 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3))))))
(+.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 -1/3) -1/3) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (/.f64 (/.f64 (*.f64 a (*.f64 a rand)) 8) (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 (sqrt.f64 -1/3) rand) (fma.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 (+.f64 1 (/.f64 (*.f64 1/6 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)
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (+.f64 (*.f64 1/8 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3))) (-.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))) 1/3)))
(+.f64 (fma.f64 1/48 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (/.f64 (/.f64 (*.f64 a (*.f64 a rand)) 8) (sqrt.f64 -1/3))) (fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) -1/3)))
a
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 (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 (*.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 (*.f64 1/3 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a))))) 1/3)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))) 1/3)
(/.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 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) 1/3) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 1/3 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a))))) 1/3)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))) 1/3)
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 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 -1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) 1/3)) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 1/3)) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.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 1/3 (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 (-.f64 1/9 (*.f64 -1/3 a))))) (*.f64 1/3 (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 (+.f64 1/9 (*.f64 1/3 a))))) (*.f64 1/3 (cbrt.f64 (sqrt.f64 (+.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 (sqrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 2)
(*.f64 1/3 (sqrt.f64 (+.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 1/3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) 1/9))
(sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))
(log.f64 (pow.f64 (exp.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 1/3 (sqrt.f64 (+.f64 a -1/3))) 3))
(*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))
(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 1/3 (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)))
(-.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 (*.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 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (*.f64 1/3 rand))
(/.f64 (*.f64 (*.f64 1/3 rand) (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)) (/.f64 (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (*.f64 1/3 rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (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 1/3 rand))
(/.f64 (*.f64 (*.f64 (*.f64 1/3 rand) 1) (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 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (*.f64 1/3 rand))
(/.f64 (*.f64 (*.f64 (*.f64 1/3 rand) 1) (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)) (/.f64 (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (*.f64 1/3 rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (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 1/3 rand))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 rand)) (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 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (*.f64 1/3 rand))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 rand)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (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 rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (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 1/3 rand))
(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))))
(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))))
(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))))
(pow.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 1/3)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(sqrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) 1/9) (*.f64 rand rand)))
(sqrt.f64 (*.f64 (*.f64 (+.f64 -1/3 a) 1/9) (*.f64 rand rand)))
(sqrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 1/9 a))))
(sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(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))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(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))))
(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))))
(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))))
(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 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.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 (fabs.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(*.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 -1/3 a)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) -1/9) 1) (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)))
(/.f64 (+.f64 -1/9 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a) 2)) (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a)))
(/.f64 (+.f64 -1/9 (pow.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 2)) (+.f64 1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) -1/9) (sqrt.f64 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)))) (sqrt.f64 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))))
(/.f64 (+.f64 -1/9 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a) 2)) (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a)))
(/.f64 (+.f64 -1/9 (pow.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 2)) (+.f64 1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) -1/9) (*.f64 (cbrt.f64 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) (cbrt.f64 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))))) (cbrt.f64 (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))))
(/.f64 (+.f64 -1/9 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a) 2)) (+.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a)))
(/.f64 (+.f64 -1/9 (pow.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 2)) (+.f64 1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3)) 1) (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9))
(/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a) 3)) (+.f64 1/9 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a)))))
(/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 3)) (+.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) (+.f64 1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)))))
(/.f64 (-.f64 1/27 (pow.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 3)) (-.f64 -1/9 (*.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) (+.f64 1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3)) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)))
(/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a) 3)) (+.f64 1/9 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a)))))
(/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 3)) (+.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) (+.f64 1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)))))
(/.f64 (-.f64 1/27 (pow.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 3)) (-.f64 -1/9 (*.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) (+.f64 1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 3)) (*.f64 (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a))) 1/9)))
(/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a) 3)) (+.f64 1/9 (+.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a) 2) (*.f64 1/3 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) a)))))
(/.f64 (+.f64 -1/27 (pow.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 3)) (+.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) (+.f64 1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)))))
(/.f64 (-.f64 1/27 (pow.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 3)) (-.f64 -1/9 (*.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) (+.f64 1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)))))
(pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)) 1)
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) 2)
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) 3)
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)) 3) 1/3)
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a)) 2))
(fabs.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a)))
(log.f64 (exp.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))))
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)) 3))
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))) 1))
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (+.f64 a -1/3))
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(fma.f64 1 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a) -1/3)
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(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))) (+.f64 a -1/3))
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)) (sqrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)) -1/3)
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) 1/9) (*.f64 rand rand))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 -1/3 a) 1/9) (*.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 (*.f64 rand rand) (+.f64 -1/27 (*.f64 1/9 a)))) (cbrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (+.f64 -1/3 a))
(fma.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))) (cbrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (+.f64 -1/3 a))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)) 2) (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)) -1/3)
(+.f64 -1/3 (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))) (+.f64 -1/3 a))
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 -1/3 (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))) (+.f64 -1/3 a))

localize40.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 16 to 9 computations (43.8% saved)

series7.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
4.0ms
a
@0
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
1.0ms
rand
@0
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
0.0ms
a
@-inf
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
0.0ms
rand
@inf
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
0.0ms
a
@inf
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))

rewrite54.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1624×add-sqr-sqrt
1604×*-un-lft-identity
1488×add-cube-cbrt
1470×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
117817
2205317
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))))))

simplify42.0ms (0.4%)

Algorithm
egg-herbie
Rules
1692×distribute-rgt-in
1674×distribute-lft-in
922×associate-*r*
842×log-prod
830×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043431
1102431
2332431
32488429
Stop Event
node limit
Counts
25 → 17
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)))) 1)
(pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 3) 1/3)
(sqrt.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (sqrt.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)))) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 2)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 3)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 3) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(sqrt.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))))
(sqrt.f64 (*.f64 (*.f64 rand rand) (*.f64 a 1/9)))
(sqrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))
(fabs.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (sqrt.f64 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)))))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 3))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 1))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
24.7b
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
a
@0
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
0.0ms
a
@-inf
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
0.0ms
a
@inf
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))

rewrite66.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1072×associate-*r/
994×associate-/r*
830×*-commutative
736×associate-*l/
702×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
11997
225557
Stop Event
node limit
Counts
1 → 84
Calls
Call 1
Inputs
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 a 1/3)) -1/9) (*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a)) (*.f64 (/.f64 1 (+.f64 a 1/3)) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) a) (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) -1/3) (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (*.f64 a a)) (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 1/9 (*.f64 a -1/3))) (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 1/9 (*.f64 a a))) (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (*.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/9 (/.f64 1 (+.f64 a 1/3))) (*.f64 (*.f64 a a) (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) (/.f64 1 (+.f64 a 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))) (*.f64 -1/3 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))) (*.f64 a (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))) (*.f64 (+.f64 1/9 (*.f64 a -1/3)) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1/9 (*.f64 a -1/3)) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))) (*.f64 (*.f64 a a) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1/9 (*.f64 a a)) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))) (*.f64 (*.f64 a -1/3) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 a)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) 1) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (/.f64 1 (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (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 (pow.f64 a 3) 1/27)) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 a 3) 1/27)) (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 a a -1/9)) (*.f64 (fma.f64 a a -1/9) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 1/9 (*.f64 a a))) (neg.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) 1) 1) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (+.f64 a 1/3)) (cbrt.f64 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 (pow.f64 a 3)) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 a 1/3) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))) (cbrt.f64 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 (neg.f64 (pow.f64 a 3)) -1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) 1) (-.f64 1/9 (*.f64 a a))) (neg.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) 1) (+.f64 (neg.f64 (pow.f64 a 3)) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (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 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 a a -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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))))

simplify56.0ms (0.5%)

Algorithm
egg-herbie
Rules
1240×distribute-lft-in
1176×distribute-rgt-in
1148×associate-/l*
1028×associate-*r/
702×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02012482
15472228
219312224
Stop Event
node limit
Counts
96 → 119
Calls
Call 1
Inputs
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(+.f64 (*.f64 (/.f64 1 (+.f64 a 1/3)) -1/9) (*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a)))
(+.f64 (*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a)) (*.f64 (/.f64 1 (+.f64 a 1/3)) -1/9))
(+.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) a) (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) -1/3))
(+.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) -1/3) (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) a))
(+.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (*.f64 a a)) (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 1/9 (*.f64 a -1/3))))
(+.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 1/9 (*.f64 a -1/3))) (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (*.f64 a a)))
(+.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 1/9 (*.f64 a a))) (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (*.f64 a -1/3)))
(+.f64 (*.f64 -1/9 (/.f64 1 (+.f64 a 1/3))) (*.f64 (*.f64 a a) (/.f64 1 (+.f64 a 1/3))))
(+.f64 (*.f64 (*.f64 a a) (/.f64 1 (+.f64 a 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 a 1/3))))
(+.f64 (*.f64 a (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))) (*.f64 -1/3 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))))
(+.f64 (*.f64 -1/3 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))) (*.f64 a (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))))
(+.f64 (*.f64 (*.f64 a a) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))) (*.f64 (+.f64 1/9 (*.f64 a -1/3)) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))))
(+.f64 (*.f64 (+.f64 1/9 (*.f64 a -1/3)) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))) (*.f64 (*.f64 a a) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))))
(+.f64 (*.f64 (+.f64 1/9 (*.f64 a a)) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))) (*.f64 (*.f64 a -1/3) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))))
(-.f64 a 1/3)
(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(*.f64 (+.f64 a -1/3) 1)
(*.f64 (+.f64 a -1/3) (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)))
(*.f64 1 (+.f64 a -1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))
(*.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1))
(*.f64 (/.f64 (fma.f64 a a -1/9) 1) (/.f64 1 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (/.f64 1 (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a 1/3))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 a 3) 1/27)) (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (*.f64 (fma.f64 a a -1/9) (+.f64 a -1/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 1/9 (*.f64 a a))) (neg.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) 1) 1) (/.f64 1 (+.f64 a 1/3)))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (+.f64 a -1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (+.f64 a 1/3)) (cbrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 (pow.f64 a 3)) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 1 (/.f64 (+.f64 a 1/3) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))) (cbrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 (neg.f64 (pow.f64 a 3)) -1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) 1) (-.f64 1/9 (*.f64 a a))) (neg.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) 1) (+.f64 (neg.f64 (pow.f64 a 3)) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -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 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -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 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))
(pow.f64 (+.f64 a -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(neg.f64 (neg.f64 (+.f64 a -1/3)))
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(log.f64 (exp.f64 (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(exp.f64 (log.f64 (+.f64 a -1/3)))
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(fma.f64 1 a -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
Outputs
-1/3
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(+.f64 -1/3 a)
(+.f64 (*.f64 (/.f64 1 (+.f64 a 1/3)) -1/9) (*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a)))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(+.f64 (*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a)) (*.f64 (/.f64 1 (+.f64 a 1/3)) -1/9))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(+.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) a) (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) -1/3))
(+.f64 -1/3 a)
(+.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) -1/3) (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) a))
(+.f64 -1/3 a)
(+.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (*.f64 a a)) (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (fma.f64 -1/3 a 1/9))) (+.f64 (pow.f64 a 3) 1/27))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (fma.f64 -1/3 a 1/9)))
(+.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 1/9 (*.f64 a -1/3))) (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (*.f64 a a)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (fma.f64 -1/3 a 1/9))) (+.f64 (pow.f64 a 3) 1/27))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (fma.f64 -1/3 a 1/9)))
(+.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 1/9 (*.f64 a a))) (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (*.f64 a -1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (fma.f64 -1/3 a 1/9))) (+.f64 (pow.f64 a 3) 1/27))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (fma.f64 -1/3 a 1/9)))
(+.f64 (*.f64 -1/9 (/.f64 1 (+.f64 a 1/3))) (*.f64 (*.f64 a a) (/.f64 1 (+.f64 a 1/3))))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(+.f64 (*.f64 (*.f64 a a) (/.f64 1 (+.f64 a 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 a 1/3))))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(+.f64 (*.f64 a (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))) (*.f64 -1/3 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))))
(+.f64 -1/3 a)
(+.f64 (*.f64 -1/3 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))) (*.f64 a (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))))
(+.f64 -1/3 a)
(+.f64 (*.f64 (*.f64 a a) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))) (*.f64 (+.f64 1/9 (*.f64 a -1/3)) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (fma.f64 -1/3 a 1/9))) (+.f64 (pow.f64 a 3) 1/27))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (fma.f64 -1/3 a 1/9)))
(+.f64 (*.f64 (+.f64 1/9 (*.f64 a -1/3)) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))) (*.f64 (*.f64 a a) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (fma.f64 -1/3 a 1/9))) (+.f64 (pow.f64 a 3) 1/27))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (fma.f64 -1/3 a 1/9)))
(+.f64 (*.f64 (+.f64 1/9 (*.f64 a a)) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))) (*.f64 (*.f64 a -1/3) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (fma.f64 -1/3 a 1/9))) (+.f64 (pow.f64 a 3) 1/27))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (fma.f64 -1/3 a 1/9)))
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
(+.f64 (exp.f64 (log1p.f64 a)) -4/3)
(+.f64 -1/3 (expm1.f64 (log1p.f64 a)))
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)
(+.f64 -1/3 a)
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)
(+.f64 (exp.f64 (log1p.f64 a)) -4/3)
(+.f64 -1/3 (expm1.f64 (log1p.f64 a)))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (+.f64 a -1/3) 1)
(+.f64 -1/3 a)
(*.f64 (+.f64 a -1/3) (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)))
(+.f64 -1/3 a)
(*.f64 1 (+.f64 a -1/3))
(+.f64 -1/3 a)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))
(+.f64 -1/3 a)
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (fma.f64 -1/3 a 1/9))) (+.f64 (pow.f64 a 3) 1/27))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (fma.f64 -1/3 a 1/9)))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9)))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) 1) (/.f64 1 (+.f64 a 1/3)))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (/.f64 1 (sqrt.f64 (+.f64 a 1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (/.f64 1 (sqrt.f64 (+.f64 a 1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))
(/.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) 1) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(/.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(*.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(/.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) 1) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(/.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(+.f64 -1/3 a)
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (fma.f64 -1/3 a 1/9))) (+.f64 (pow.f64 a 3) 1/27))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (fma.f64 -1/3 a 1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.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 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (fma.f64 -1/3 a 1/9))) (+.f64 (pow.f64 a 3) 1/27))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (fma.f64 -1/3 a 1/9)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 a 3) 1/27)) (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (fma.f64 -1/3 a 1/9))) (+.f64 (pow.f64 a 3) 1/27))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (fma.f64 -1/3 a 1/9)))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (*.f64 (fma.f64 a a -1/9) (+.f64 a -1/3)))
(+.f64 -1/3 a)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))))
(/.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) 1) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(/.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(/.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) 1) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(/.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (/.f64 1 (sqrt.f64 (+.f64 a 1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (/.f64 1 (sqrt.f64 (+.f64 a 1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 1/9 (*.f64 a a))) (neg.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 1/9 (*.f64 a a))) (+.f64 (neg.f64 a) 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) 1) 1) (/.f64 1 (+.f64 a 1/3)))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (+.f64 a -1/3))
(+.f64 -1/3 a)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (+.f64 a 1/3)) (cbrt.f64 (fma.f64 a a -1/9)))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 (pow.f64 a 3)) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 (pow.f64 a 3)) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 -1/27 (pow.f64 a 3))) (neg.f64 (fma.f64 a a (fma.f64 -1/3 a 1/9))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 -1/9 (*.f64 a (-.f64 1/3 a))))
(*.f64 (/.f64 1 (/.f64 (+.f64 a 1/3) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))) (cbrt.f64 (fma.f64 a a -1/9)))
(/.f64 (*.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 (neg.f64 (pow.f64 a 3)) -1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))
(*.f64 (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a))) (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 (neg.f64 (pow.f64 a 3)) -1/27)))
(*.f64 (fma.f64 a a (fma.f64 -1/3 a 1/9)) (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) 1) (-.f64 1/9 (*.f64 a a))) (neg.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 1/9 (*.f64 a a))) (+.f64 (neg.f64 a) 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) 1) (+.f64 (neg.f64 (pow.f64 a 3)) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 (pow.f64 a 3)) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 -1/27 (pow.f64 a 3))) (neg.f64 (fma.f64 a a (fma.f64 -1/3 a 1/9))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 -1/9 (*.f64 a (-.f64 1/3 a))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (fma.f64 a a -1/9) (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))))
(/.f64 (*.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 a 1/3))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (+.f64 (pow.f64 a 3) 1/27)))) (sqrt.f64 (fma.f64 a a (fma.f64 -1/3 a 1/9))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (sqrt.f64 (fma.f64 a a (fma.f64 -1/3 a 1/9))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -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 (cbrt.f64 (+.f64 -1/3 a)) (/.f64 (fma.f64 a a -1/9) (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (/.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (fma.f64 a a -1/9))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) 1/27)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (*.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (cbrt.f64 (+.f64 (pow.f64 a 3) 1/27)))) (cbrt.f64 (fma.f64 a a (fma.f64 -1/3 a 1/9))))
(pow.f64 (+.f64 a -1/3) 1)
(+.f64 -1/3 a)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(+.f64 -1/3 a)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(+.f64 -1/3 a)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(+.f64 -1/3 a)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(+.f64 -1/3 a)
(neg.f64 (neg.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))
(fabs.f64 (+.f64 -1/3 a))
(log.f64 (exp.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))
(+.f64 -1/3 a)
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(+.f64 -1/3 a)
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(+.f64 -1/3 a)
(exp.f64 (log.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(fma.f64 1 a -1/3)
(+.f64 -1/3 a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(+.f64 -1/3 a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
(+.f64 -1/3 a)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 a -1/3)
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)))
0.6b
(sqrt.f64 (*.f64 a 9))
Compiler

Compiled 43 to 31 computations (27.9% saved)

series7.0ms (0.1%)

Counts
4 → 38
Calls

18 calls:

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

rewrite125.0ms (1.1%)

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
01470
130268
2399766
Stop Event
node limit
Counts
4 → 256
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)))))
(+.f64 a -1/3)
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)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 1 (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (*.f64 1 (+.f64 a (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 1 (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) a) (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) -1/3) (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) (+.f64 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a)) 1) -1/3)) (*.f64 1 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) (*.f64 1 (*.f64 -1/3 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 -1/3 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) (*.f64 1 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (-.f64 1 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (-.f64 1 (*.f64 (*.f64 rand (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))))

simplify222.0ms (2%)

Algorithm
egg-herbie
Rules
884×associate-+r+
858×associate-/l*
830×+-commutative
786×associate-*r*
682×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062011668
1170610988
2773310988
Stop Event
node limit
Counts
294 → 340
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)
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 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))
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(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(fma.f64 1 a -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.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 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (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 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (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 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -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 (sqrt.f64 (/.f64 1 a)) (*.f64 (*.f64 1/3 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 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (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 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (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 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -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 (sqrt.f64 (/.f64 1 a)) (*.f64 (*.f64 1/3 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 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (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 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (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 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
-1/3
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.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)
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (neg.f64 rand) (/.f64 1 (*.f64 (sqrt.f64 a) -3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 1 (pow.f64 (*.f64 a 9) 1/4)) (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)) (pow.f64 (*.f64 a 9) 1/4))
(*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 rand 3))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))
(/.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 a) -3)) (neg.f64 rand))
(*.f64 (neg.f64 rand) (/.f64 1 (*.f64 (sqrt.f64 a) -3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) 3))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (/.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) 3) (sqrt.f64 rand))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) (/.f64 (sqrt.f64 rand) 3))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))
(/.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (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 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 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)))
(*.f64 (/.f64 1 (pow.f64 (*.f64 a 9) 1/4)) (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)) (pow.f64 (*.f64 a 9) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 rand) 3))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (*.f64 a 9))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 a))) (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 3 (sqrt.f64 a))) (cbrt.f64 rand))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (/.f64 1 (/.f64 (*.f64 3 (sqrt.f64 a)) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(pow.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))
(pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 a) rand) 3) -1)
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(neg.f64 (/.f64 rand (*.f64 (sqrt.f64 a) -3)))
(*.f64 (neg.f64 rand) (/.f64 1 (*.f64 (sqrt.f64 a) -3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)))
(sqrt.f64 (*.f64 (/.f64 rand a) (/.f64 rand 9)))
(log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(exp.f64 (*.f64 (log.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))
(log1p.f64 (expm1.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 a (+.f64 -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))
(+.f64 a (+.f64 -1/3 (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1)))
(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))
(+.f64 a (*.f64 1 (+.f64 -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))
(+.f64 -1/3 (+.f64 a (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))
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(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3) 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))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3)) 2))
(fabs.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(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))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))
(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))
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(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))
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(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
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(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
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(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
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(fma.f64 (+.f64 a -1/3) 1 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
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(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
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(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
(+.f64 (exp.f64 (log1p.f64 a)) -4/3)
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(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)
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(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)
(+.f64 (exp.f64 (log1p.f64 a)) -4/3)
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(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) 1) (fma.f64 a a -1/9)) (+.f64 a -1/3))
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(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
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(/.f64 (/.f64 (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 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (/.f64 (+.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 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (/.f64 (+.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 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) 1) 1) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) 1) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) 1) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 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 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 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 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(pow.f64 (+.f64 a -1/3) 1)
(+.f64 a -1/3)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(+.f64 a -1/3)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(+.f64 a -1/3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(+.f64 a -1/3)
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(fabs.f64 (+.f64 a -1/3))
(log.f64 (exp.f64 (+.f64 a -1/3)))
(+.f64 a -1/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))
(+.f64 a -1/3)
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(+.f64 a -1/3)
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(+.f64 a -1/3)
(exp.f64 (log.f64 (+.f64 a -1/3)))
(+.f64 a -1/3)
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1))
(+.f64 a -1/3)
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(+.f64 a -1/3)
(fma.f64 1 a -1/3)
(+.f64 a -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(+.f64 a -1/3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
(+.f64 a -1/3)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 a -1/3)
0.2b
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
0.2b
(/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9)))
0.6b
(sqrt.f64 (*.f64 a 9))
Compiler

Compiled 48 to 34 computations (29.2% saved)

series5.0ms (0%)

Counts
2 → 12
Calls

9 calls:

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

rewrite85.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1626×associate-*l/
1478×associate-/r*
1034×associate-/l*
490×distribute-lft-in
318×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252
125752
2330752
Stop Event
node limit
Counts
2 → 185
Calls
Call 1
Inputs
(/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9)))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) a) (*.f64 (/.f64 1/3 (sqrt.f64 a)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 a 9))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/3 a) (/.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 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 a) -3)) (-.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 a) 3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (*.f64 a 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (sqrt.f64 a) 3)) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 a) 3) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a -1/9)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1/3 (sqrt.f64 a))) (-.f64 (pow.f64 a 3) -1/27)) (+.f64 (*.f64 a a) (+.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1/3 (sqrt.f64 a))) (-.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1/3 (sqrt.f64 a))) (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a -1/3) (/.f64 (*.f64 (sqrt.f64 a) 3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 rand) (/.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 rand) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 rand) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)) (pow.f64 (cbrt.f64 rand) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (cbrt.f64 rand) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) rand) (*.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/3 a) (/.f64 (*.f64 (sqrt.f64 a) -3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 (+.f64 a -1/3))))))) 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1/4))) (cbrt.f64 (pow.f64 (*.f64 a 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (*.f64 (sqrt.f64 a) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (*.f64 a 9) 1/4)) (neg.f64 (pow.f64 (*.f64 a 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (*.f64 a 9))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (*.f64 (sqrt.f64 a) -3))) (sqrt.f64 (*.f64 (sqrt.f64 a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) -1) (*.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (pow.f64 (*.f64 a 9) 1/4))) (pow.f64 (*.f64 a 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 3) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))))))))

simplify115.0ms (1%)

Algorithm
egg-herbie
Rules
1430×associate-/l*
902×times-frac
682×associate-/l/
608×associate-/r*
584×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05107893
114507791
269057777
Stop Event
node limit
Counts
197 → 265
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))))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) a) (*.f64 (/.f64 1/3 (sqrt.f64 a)) -1/3))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))) 1)
(*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 1)
(*.f64 1 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 a 9))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 a 9))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 (-.f64 1/3 a) (/.f64 1 (*.f64 (sqrt.f64 a) -3)))
(*.f64 (/.f64 1 (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4)))
(*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (+.f64 a -1/3) 3))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 a) -3)) (-.f64 1/3 a))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 a) 3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (*.f64 a 9) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (+.f64 a -1/3)) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (sqrt.f64 a) 3)) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 a) 3) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1/3 (sqrt.f64 a))) (-.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 1/3 (sqrt.f64 a))) (-.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 1/3 (sqrt.f64 a))) (+.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))))))
(pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)) -1)
(neg.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) -3)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 a 9)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))) 1)
(/.f64 (+.f64 a -1/3) (/.f64 (*.f64 (sqrt.f64 a) 3) rand))
(/.f64 rand (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 1)
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (+.f64 a -1/3) rand)))
(/.f64 (sqrt.f64 rand) (/.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)) (sqrt.f64 rand)))
(/.f64 (sqrt.f64 rand) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 rand) (+.f64 a -1/3))))
(/.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)) (pow.f64 (cbrt.f64 rand) 2)))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)) (cbrt.f64 rand)))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (cbrt.f64 rand) (+.f64 a -1/3))))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (*.f64 (sqrt.f64 a) 3))
(/.f64 (-.f64 1/3 a) (/.f64 (*.f64 (sqrt.f64 a) -3) rand))
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) rand) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3))))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (*.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a 1/3)))
(/.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 (sqrt.f64 a) 3) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 rand (-.f64 1/3 a)) (*.f64 (sqrt.f64 a) -3))
(/.f64 (*.f64 (-.f64 1/3 a) rand) (*.f64 (sqrt.f64 a) -3))
(/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) 3)
(/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) (pow.f64 9 1/2))
(/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 rand 1) (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)))
(/.f64 (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (pow.f64 (*.f64 a 9) 1/4) (+.f64 a -1/3)))
(/.f64 (/.f64 rand (sqrt.f64 a)) (/.f64 3 (+.f64 a -1/3)))
(/.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3)))
(/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 a) -3))
(/.f64 (*.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) (+.f64 a 1/3))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) (neg.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) (-.f64 -1/3 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) rand) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (*.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) rand) (*.f64 (*.f64 (sqrt.f64 a) 3) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1/3 (sqrt.f64 a))) rand) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1/3 (sqrt.f64 a))) rand) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4)) rand) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) rand) 3)
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) rand) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 -1 rand) (neg.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) 1) rand) (*.f64 (+.f64 a 1/3) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) rand) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (neg.f64 (-.f64 1/3 a)) rand) (neg.f64 (*.f64 (sqrt.f64 a) -3)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1) (*.f64 (sqrt.f64 a) 3))
(/.f64 (*.f64 (*.f64 rand (-.f64 1/3 a)) 1) (*.f64 (sqrt.f64 a) -3))
(/.f64 (*.f64 (*.f64 (-.f64 1/3 a) rand) 1) (*.f64 (sqrt.f64 a) -3))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) 1) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) 1) 3)
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) 1) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (*.f64 (sqrt.f64 a) -3))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 (*.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) rand)) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) rand)) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/3 a)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) rand)) (sqrt.f64 (*.f64 (sqrt.f64 a) -3)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (*.f64 rand (fma.f64 a a -1/9)) (/.f64 1/3 (sqrt.f64 a))) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) 3)) (sqrt.f64 a))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))) (cbrt.f64 (*.f64 a 9)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))) (cbrt.f64 (*.f64 a 9)))
(/.f64 (/.f64 rand (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 (*.f64 (sqrt.f64 a) 3) (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (/.f64 rand (/.f64 (*.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 1 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (pow.f64 (*.f64 a 9) 1/4) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 (pow.f64 (*.f64 a 9) 1/4) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 3 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 (cbrt.f64 (*.f64 a 9)) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 (cbrt.f64 (*.f64 a 9)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 9 1/2)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 1 1/2)) (*.f64 (sqrt.f64 a) 3))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) 1/2)) (pow.f64 (cbrt.f64 (*.f64 a 9)) 1/2))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) 1) (*.f64 (sqrt.f64 a) -3))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (pow.f64 (*.f64 a 9) 1/4)) (neg.f64 (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (sqrt.f64 a)) -3)
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (cbrt.f64 (*.f64 a 9))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (sqrt.f64 (*.f64 (sqrt.f64 a) -3))) (sqrt.f64 (*.f64 (sqrt.f64 a) -3)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) -1) (*.f64 (sqrt.f64 a) 3))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (neg.f64 (pow.f64 (*.f64 a 9) 1/4))) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (neg.f64 (sqrt.f64 a))) 3)
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (neg.f64 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) 1) (*.f64 (sqrt.f64 a) -3))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (pow.f64 (*.f64 a 9) 1/4)) (neg.f64 (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (sqrt.f64 a)) -3)
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (cbrt.f64 (*.f64 a 9))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (sqrt.f64 (*.f64 (sqrt.f64 a) -3))) (sqrt.f64 (*.f64 (sqrt.f64 a) -3)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) -1) (*.f64 (sqrt.f64 a) 3))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (neg.f64 (pow.f64 (*.f64 a 9) 1/4))) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (neg.f64 (sqrt.f64 a))) 3)
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (neg.f64 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) 1) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))) (cbrt.f64 (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) (sqrt.f64 (cbrt.f64 (*.f64 a 9)))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 3))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) (sqrt.f64 (pow.f64 (*.f64 a 9) 1/4))) (sqrt.f64 (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) 1) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) (cbrt.f64 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 3))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) (cbrt.f64 (pow.f64 (*.f64 a 9) 1/4))) (cbrt.f64 (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (*.f64 (sqrt.f64 a) -3))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (*.f64 a 9) 1/4)) (neg.f64 (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)) -3)
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (*.f64 a 9))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (*.f64 (sqrt.f64 a) -3))) (sqrt.f64 (*.f64 (sqrt.f64 a) -3)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) -1) (*.f64 (sqrt.f64 a) 3))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (pow.f64 (*.f64 a 9) 1/4))) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 a))) 3)
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 2))
(log.f64 (pow.f64 (exp.f64 rand) (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 3) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))))
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 1/3 (+.f64 a -1/3)) rand))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (-.f64 -1/9 (*.f64 a -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 1/3 (+.f64 a -1/3)) rand))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (-.f64 -1/9 (*.f64 a -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 1/3 (+.f64 a -1/3)) rand))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (-.f64 -1/9 (*.f64 a -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 1/3 (+.f64 a -1/3)) rand))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (-.f64 -1/9 (*.f64 a -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 1/3 (+.f64 a -1/3)) rand))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (-.f64 -1/9 (*.f64 a -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 1/3 (+.f64 a -1/3)) rand))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (-.f64 -1/9 (*.f64 a -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 1/3 (+.f64 a -1/3)) rand))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (-.f64 -1/9 (*.f64 a -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 1/3 (+.f64 a -1/3)) rand))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (-.f64 -1/9 (*.f64 a -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 1/3 (+.f64 a -1/3)) rand))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (-.f64 -1/9 (*.f64 a -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 1/3 (+.f64 a -1/3)) rand))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (-.f64 -1/9 (*.f64 a -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 1/3 (+.f64 a -1/3)) rand))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (-.f64 -1/9 (*.f64 a -1/3)) rand))
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(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (*.f64 (sqrt.f64 a) 3)) (sqrt.f64 (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) (cbrt.f64 (*.f64 rand (+.f64 a -1/3)))) (*.f64 (sqrt.f64 a) 3)) (cbrt.f64 (*.f64 rand (+.f64 a -1/3))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) (cbrt.f64 (*.f64 rand (+.f64 a -1/3)))) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (*.f64 rand (+.f64 a -1/3)))))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 rand (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) rand) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3))))
(/.f64 (*.f64 rand (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (sqrt.f64 (/.f64 (sqrt.f64 a) (/.f64 (+.f64 a -1/3) 3))))
(/.f64 rand (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 a) (/.f64 (+.f64 a -1/3) 3))) (sqrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))))))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (*.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a 1/3)))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(*.f64 (/.f64 rand (sqrt.f64 a)) (/.f64 (fma.f64 a a -1/9) (+.f64 1 (*.f64 3 a))))
(/.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 (sqrt.f64 a) 3) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 1/3 a)) (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(/.f64 (*.f64 rand (-.f64 1/3 a)) (*.f64 (sqrt.f64 a) -3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (-.f64 1/3 a) rand) (*.f64 (sqrt.f64 a) -3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) 3)
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) (pow.f64 9 1/2))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (*.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 a) 3)) (*.f64 (+.f64 a -1/3) (sqrt.f64 rand)))
(*.f64 (sqrt.f64 rand) (*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) (/.f64 (+.f64 a -1/3) 3)))
(/.f64 (/.f64 rand 1) (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (pow.f64 (*.f64 a 9) 1/4) (+.f64 a -1/3)))
(/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (/.f64 rand (sqrt.f64 a)) (/.f64 3 (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)) (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 a) -3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) (+.f64 a 1/3))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(*.f64 (/.f64 rand (sqrt.f64 a)) (/.f64 (fma.f64 a a -1/9) (+.f64 1 (*.f64 3 a))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 1/3 a)) (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) (neg.f64 (+.f64 a 1/3)))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 (+.f64 (neg.f64 a) -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 rand (fma.f64 a a -1/9))) (sqrt.f64 a)) (-.f64 -1/3 a))
(/.f64 (*.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (-.f64 1/27 (pow.f64 a 3)) (neg.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 1/3 a)))) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))
(*.f64 (/.f64 (-.f64 1/27 (pow.f64 a 3)) (-.f64 (+.f64 -1/9 (*.f64 a -1/3)) (*.f64 a a))) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) (-.f64 -1/3 a))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 (+.f64 (neg.f64 a) -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 rand (fma.f64 a a -1/9))) (sqrt.f64 a)) (-.f64 -1/3 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) rand) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (*.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a 1/3)))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(*.f64 (/.f64 rand (sqrt.f64 a)) (/.f64 (fma.f64 a a -1/9) (+.f64 1 (*.f64 3 a))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) rand) (*.f64 (*.f64 (sqrt.f64 a) 3) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 1/3 a)) (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1/3 (sqrt.f64 a))) rand) (+.f64 a 1/3))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(*.f64 (/.f64 rand (sqrt.f64 a)) (/.f64 (fma.f64 a a -1/9) (+.f64 1 (*.f64 3 a))))
(/.f64 (*.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1/3 (sqrt.f64 a))) rand) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 1/3 a)) (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4)) rand) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) rand) 3)
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) rand) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (*.f64 -1 rand) (neg.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) 1) rand) (*.f64 (+.f64 a 1/3) (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(*.f64 (/.f64 rand (sqrt.f64 a)) (/.f64 (fma.f64 a a -1/9) (+.f64 1 (*.f64 3 a))))
(/.f64 (*.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) rand) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 1/3 a)) (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(/.f64 (*.f64 (neg.f64 (-.f64 1/3 a)) rand) (neg.f64 (*.f64 (sqrt.f64 a) -3)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1) (*.f64 (sqrt.f64 a) 3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 rand (-.f64 1/3 a)) 1) (*.f64 (sqrt.f64 a) -3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (-.f64 1/3 a) rand) 1) (*.f64 (sqrt.f64 a) -3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) 1) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) 1) 3)
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) 1) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (*.f64 (sqrt.f64 a) -3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (/.f64 (pow.f64 (*.f64 a 9) 1/4) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (pow.f64 (*.f64 a 9) 1/4)) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))))
(/.f64 (*.f64 1 (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) rand)) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3))))
(/.f64 (*.f64 rand (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (sqrt.f64 (/.f64 (sqrt.f64 a) (/.f64 (+.f64 a -1/3) 3))))
(/.f64 rand (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 a) (/.f64 (+.f64 a -1/3) 3))) (sqrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) rand)) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (pow.f64 (*.f64 a 9) 1/4) (*.f64 rand (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (*.f64 a 9) 1/4)) (*.f64 rand (sqrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/3 a)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))) rand)) (sqrt.f64 (*.f64 (sqrt.f64 a) -3)))
(/.f64 (sqrt.f64 (-.f64 1/3 a)) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) -3)) (*.f64 rand (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/3 a)) (sqrt.f64 (*.f64 (sqrt.f64 a) -3))) (*.f64 rand (sqrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (+.f64 a -1/3))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))) 2))
(/.f64 (*.f64 (*.f64 rand (fma.f64 a a -1/9)) (/.f64 1/3 (sqrt.f64 a))) (+.f64 a 1/3))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(*.f64 (/.f64 rand (sqrt.f64 a)) (/.f64 (fma.f64 a a -1/9) (+.f64 1 (*.f64 3 a))))
(/.f64 (*.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 1/3 a)) (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) 3)) (sqrt.f64 a))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))) (cbrt.f64 (*.f64 a 9)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))) (cbrt.f64 (*.f64 a 9)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 rand (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 rand (/.f64 (*.f64 (sqrt.f64 a) 3) (fma.f64 a a -1/9))) (+.f64 a 1/3))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(*.f64 (/.f64 rand (sqrt.f64 a)) (/.f64 (fma.f64 a a -1/9) (+.f64 1 (*.f64 3 a))))
(/.f64 (/.f64 rand (/.f64 (*.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 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 1/3 a)) (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(/.f64 (/.f64 rand (/.f64 1 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 rand (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (pow.f64 (*.f64 a 9) 1/4) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 rand (*.f64 (/.f64 (pow.f64 (*.f64 a 9) 1/4) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (pow.f64 (*.f64 a 9) 1/4) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (/.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (*.f64 a 9) 1/4)) (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 (/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 (pow.f64 (*.f64 a 9) 1/4) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 rand (*.f64 (/.f64 (pow.f64 (*.f64 a 9) 1/4) (cbrt.f64 (+.f64 a -1/3))) (/.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))
(/.f64 (/.f64 (*.f64 rand (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (pow.f64 (*.f64 a 9) 1/4) (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (/.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 rand (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 3 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 rand (/.f64 (cbrt.f64 (*.f64 a 9)) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 rand (*.f64 (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 (*.f64 a 9)) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (cbrt.f64 (*.f64 a 9)))) (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 rand (/.f64 (cbrt.f64 (*.f64 a 9)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (*.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 rand (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)) (/.f64 (cbrt.f64 (*.f64 a 9)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) (sqrt.f64 a))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 9))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2))))
(*.f64 (/.f64 rand (sqrt.f64 (cbrt.f64 (*.f64 a 9)))) (/.f64 (+.f64 a -1/3) (fabs.f64 (cbrt.f64 (*.f64 a 9)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 9 1/2)) (sqrt.f64 a))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 1 1/2)) (*.f64 (sqrt.f64 a) 3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) 1/2)) (pow.f64 (cbrt.f64 (*.f64 a 9)) 1/2))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 9))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2))))
(*.f64 (/.f64 rand (sqrt.f64 (cbrt.f64 (*.f64 a 9)))) (/.f64 (+.f64 a -1/3) (fabs.f64 (cbrt.f64 (*.f64 a 9)))))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) 1) (*.f64 (sqrt.f64 a) -3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (pow.f64 (*.f64 a 9) 1/4)) (neg.f64 (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (sqrt.f64 a)) -3)
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (cbrt.f64 (*.f64 a 9))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (sqrt.f64 (*.f64 (sqrt.f64 a) -3))) (sqrt.f64 (*.f64 (sqrt.f64 a) -3)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) -1) (*.f64 (sqrt.f64 a) 3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (neg.f64 (pow.f64 (*.f64 a 9) 1/4))) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (neg.f64 (sqrt.f64 a))) 3)
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (neg.f64 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) 1) (*.f64 (sqrt.f64 a) -3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (pow.f64 (*.f64 a 9) 1/4)) (neg.f64 (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (sqrt.f64 a)) -3)
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (cbrt.f64 (*.f64 a 9))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (sqrt.f64 (*.f64 (sqrt.f64 a) -3))) (sqrt.f64 (*.f64 (sqrt.f64 a) -3)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) -1) (*.f64 (sqrt.f64 a) 3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (neg.f64 (pow.f64 (*.f64 a 9) 1/4))) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (neg.f64 (sqrt.f64 a))) 3)
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (-.f64 1/3 a) rand) (neg.f64 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) 1) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))) (cbrt.f64 (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 a 9) 1/4)) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(*.f64 (/.f64 rand (cbrt.f64 (pow.f64 (*.f64 a 9) 1/4))) (/.f64 (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4)) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) (sqrt.f64 (cbrt.f64 (*.f64 a 9)))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))) (sqrt.f64 (cbrt.f64 (*.f64 a 9)))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4)) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))) (/.f64 rand (sqrt.f64 (cbrt.f64 (*.f64 a 9)))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 3))
(/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))) (*.f64 (sqrt.f64 3) (sqrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (pow.f64 (*.f64 a 9) 1/4)) (*.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 3)))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 (*.f64 a 9) 1/4) rand)) (sqrt.f64 (pow.f64 (*.f64 a 9) 1/4))) (sqrt.f64 (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) 1) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) (cbrt.f64 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(*.f64 (/.f64 rand (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))) (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (cbrt.f64 (*.f64 a 9)))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 3))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (*.f64 (cbrt.f64 3) (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 rand (cbrt.f64 3)) (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 (*.f64 a 9)) rand)) (cbrt.f64 (pow.f64 (*.f64 a 9) 1/4))) (cbrt.f64 (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 a 9) 1/4)) (cbrt.f64 (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (/.f64 rand (cbrt.f64 (pow.f64 (*.f64 a 9) 1/4))) (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (*.f64 (sqrt.f64 a) -3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (*.f64 a 9) 1/4)) (neg.f64 (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)) -3)
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (*.f64 a 9))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (*.f64 (sqrt.f64 a) -3))) (sqrt.f64 (*.f64 (sqrt.f64 a) -3)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) -1) (*.f64 (sqrt.f64 a) 3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (pow.f64 (*.f64 a 9) 1/4))) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 rand (/.f64 (pow.f64 (*.f64 a 9) 1/4) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 a))) 3)
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 1)
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) 2)
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) 3)
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 3) 1/3)
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) 2))
(fabs.f64 (*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(log.f64 (pow.f64 (exp.f64 rand) (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)) 3))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 3) (pow.f64 rand 3)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) 3)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))) 1))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))

eval637.0ms (5.8%)

Compiler

Compiled 30598 to 22163 computations (27.6% saved)

prune299.0ms (2.7%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New127891287
Fresh257
Picked101
Done246
Total1283181301
Error
0b
Counts
1301 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
18.2b
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
40.4b
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
0.1b
(-.f64 (+.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) a) 1/3)
1.4b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
18.0b
(-.f64 a 1/3)
1.4b
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) 3))
46.9b
(+.f64 -1/3 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9)))))
40.5b
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
1.4b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
1.4b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
45.4b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
46.5b
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
45.4b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
46.5b
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
61.4b
(sqrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))
18.8b
a
63.0b
-1/3
Compiler

Compiled 337 to 262 computations (22.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 -1/27 (*.f64 1/9 a))
0.1b
(sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))
0.2b
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))
0.3b
(*.f64 1/9 a)
Compiler

Compiled 51 to 38 computations (25.5% saved)

series5.0ms (0%)

Counts
4 → 32
Calls

15 calls:

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

rewrite84.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
930×*-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 1/9 a)
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))
(sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))
(+.f64 -1/27 (*.f64 1/9 a))
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 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) (exp.f64 (log1p.f64 (*.f64 1/9 a)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 1))))) (#(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 1/729 (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (*.f64 a a)))))) (#(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 1/9 a))))))) (#(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 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 log1p.f64 (expm1.f64 (*.f64 1/9 a)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -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 1/81 (*.f64 a a)) (*.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 1/81 (*.f64 a a)) (*.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 1/9 a -1/27))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.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 1/9 a -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 1/9 a -1/27))))) (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 1/9 a -1/27) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 1/9 a -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 1/9 a -1/27) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))))))
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1/9 a -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 (*.f64 1/9 a) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 a)) (*.f64 1/3 (sqrt.f64 a)) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 a)) 2) (cbrt.f64 (*.f64 1/9 a)) -1/27)))))

simplify143.0ms (1.3%)

Algorithm
egg-herbie
Rules
982×associate-*r/
832×associate-*l/
742×associate-*r*
634×associate-/r/
590×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04777811
111776783
246256783
Stop Event
node limit
Counts
215 → 311
Calls
Call 1
Inputs
(*.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 1/9 a))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) (exp.f64 (log1p.f64 (*.f64 1/9 a)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 1))
(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 1/729 (pow.f64 a 3)) 1/3)
(sqrt.f64 (*.f64 1/81 (*.f64 a a)))
(log.f64 (pow.f64 (exp.f64 1/9) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 a))))
(cbrt.f64 (*.f64 1/729 (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 1/9 a)))
(exp.f64 (log.f64 (*.f64 1/9 a)))
(log1p.f64 (expm1.f64 (*.f64 1/9 a)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -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 1/81 (*.f64 a a)) (*.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 1/81 (*.f64 a a)) (*.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 1/9 a -1/27))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.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 1/9 a -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))))) (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))))) 1))
(pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))) 1)
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))) 3)
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))) 3) 1/3)
(sqrt.f64 (*.f64 (fma.f64 1/9 a -1/27) (*.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 1/9 a -1/27))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))))))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))) 3))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 1/9 a -1/27) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) 1)
(*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 1)
(*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (pow.f64 1 1/2))
(*.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4) (pow.f64 (fma.f64 1/9 a -1/27) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2)))
(*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a))))))
(*.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (/.f64 1 (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2) 1/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2) 1/6))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))) (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))))
(/.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (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)))) 1) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) 1) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) 1))
(pow.f64 (fma.f64 1/9 a -1/27) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 1)
(pow.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 3)
(pow.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 28/27)
(-.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 1/81 (*.f64 a a)) (+.f64 -1/27 (*.f64 a -1/9))))
(-.f64 (+.f64 -1/27 (exp.f64 (log1p.f64 (*.f64 1/9 a)))) 1)
(*.f64 (fma.f64 1/9 a -1/27) 1)
(*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (sqrt.f64 (fma.f64 1/9 a -1/27)))
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(*.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4) (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (pow.f64 (fma.f64 1/9 a -1/27) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2) (cbrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2))
(*.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(*.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9))))
(*.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))) (/.f64 1 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (pow.f64 (fma.f64 1/9 a -1/27) 1/4)) (pow.f64 (fma.f64 1/9 a -1/27) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (cbrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 (+.f64 (*.f64 1/81 (*.f64 a a)) -1/729) (/.f64 1 (+.f64 (*.f64 1/9 a) 1/27)))
(*.f64 (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9))) (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))
(*.f64 (/.f64 1 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))) (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))
(*.f64 (+.f64 -1/729 (neg.f64 (*.f64 (*.f64 a a) -1/81))) (/.f64 1 (+.f64 1/27 (neg.f64 (*.f64 a -1/9)))))
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(/.f64 1 (/.f64 1 (fma.f64 1/9 a -1/27)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 1/9 a -1/27)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/9 a) 1/27) (+.f64 (*.f64 1/81 (*.f64 a a)) -1/729)))
(/.f64 1 (/.f64 (+.f64 1/27 (neg.f64 (*.f64 a -1/9))) (+.f64 -1/729 (neg.f64 (*.f64 (*.f64 a a) -1/81)))))
(/.f64 1 (/.f64 (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))) (+.f64 1/19683 (neg.f64 (*.f64 1/729 (pow.f64 a 3))))))
(/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))) (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a))))
(/.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (/.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a))) (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))))
(/.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))) (/.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a))) (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))))
(/.f64 (-.f64 1/387420489 (*.f64 (pow.f64 a 6) 1/531441)) (*.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a))) (-.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))))
(/.f64 (+.f64 (*.f64 1/81 (*.f64 a a)) -1/729) (+.f64 (*.f64 1/9 a) 1/27))
(/.f64 (-.f64 1/531441 (*.f64 (pow.f64 a 4) 1/6561)) (*.f64 (+.f64 -1/27 (*.f64 a -1/9)) (+.f64 1/729 (*.f64 1/81 (*.f64 a a)))))
(/.f64 (+.f64 -1/7625597484987 (pow.f64 (*.f64 1/729 (pow.f64 a 3)) 3)) (*.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a))) (+.f64 1/387420489 (+.f64 (*.f64 (pow.f64 a 6) 1/531441) (*.f64 1/19683 (*.f64 1/729 (pow.f64 a 3)))))))
(/.f64 (-.f64 1/387420489 (pow.f64 (*.f64 1/81 (*.f64 a a)) 3)) (*.f64 (+.f64 -1/27 (*.f64 a -1/9)) (+.f64 (+.f64 1/531441 (*.f64 (pow.f64 a 4) 1/6561)) (*.f64 1/59049 (*.f64 a a)))))
(/.f64 (+.f64 -1/729 (neg.f64 (*.f64 (*.f64 a a) -1/81))) (+.f64 1/27 (neg.f64 (*.f64 a -1/9))))
(/.f64 (+.f64 1/19683 (neg.f64 (*.f64 1/729 (pow.f64 a 3)))) (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 1 (+.f64 (*.f64 1/81 (*.f64 a a)) -1/729)) (+.f64 (*.f64 1/9 a) 1/27))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2) (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2) (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (+.f64 (*.f64 1/81 (*.f64 a a)) -1/729) 1) (+.f64 (*.f64 1/9 a) 1/27))
(/.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 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 1/9 a -1/27))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (sqrt.f64 (fma.f64 1/9 a -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 1/9 a -1/27)) 2)) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (pow.f64 (cbrt.f64 (fma.f64 1/9 a -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 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a 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 (-.f64 1/531441 (*.f64 (pow.f64 a 4) 1/6561)) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 1/729 (*.f64 1/81 (*.f64 a a))))
(/.f64 (*.f64 (-.f64 1/387420489 (pow.f64 (*.f64 1/81 (*.f64 a a)) 3)) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 (+.f64 1/531441 (*.f64 (pow.f64 a 4) 1/6561)) (*.f64 1/59049 (*.f64 a a))))
(/.f64 (*.f64 (-.f64 1/387420489 (*.f64 (pow.f64 a 6) 1/531441)) (/.f64 1 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.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 1/81 (*.f64 a a)) (*.f64 1/243 a))))) (+.f64 1/387420489 (+.f64 (*.f64 (pow.f64 a 6) 1/531441) (*.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 1/81 (*.f64 a a)) (*.f64 1/243 a))))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a))))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))) (*.f64 (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27))) (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/9 a -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 1/81 (*.f64 a a)) (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 1/81 (*.f64 a a)) (+.f64 -1/27 (*.f64 a -1/9))))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 1/81 (*.f64 a a)) (+.f64 -1/27 (*.f64 a -1/9)))))
(pow.f64 (fma.f64 1/9 a -1/27) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 2)
(pow.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4) 4)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 6)
(pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 3)
(pow.f64 (pow.f64 (fma.f64 1/9 a -1/27) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 1/9 a -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 1/81 (*.f64 a a)) (*.f64 1/243 a))))))
(sqrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 2))
(log.f64 (exp.f64 (fma.f64 1/9 a -1/27)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/9 a -1/27))))
(cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))
(exp.f64 (log.f64 (fma.f64 1/9 a -1/27)))
(log1p.f64 (expm1.f64 (fma.f64 1/9 a -1/27)))
(fma.f64 1/9 a -1/27)
(fma.f64 a 1/9 -1/27)
(fma.f64 1 (*.f64 1/9 a) -1/27)
(fma.f64 (*.f64 1/3 (sqrt.f64 a)) (*.f64 1/3 (sqrt.f64 a)) -1/27)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 a)) 2) (cbrt.f64 (*.f64 1/9 a)) -1/27)
Outputs
(*.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 1/18 (*.f64 rand a)) (sqrt.f64 -1/27)))
(fma.f64 rand (sqrt.f64 -1/27) (*.f64 (/.f64 1/18 (sqrt.f64 -1/27)) (*.f64 rand a)))
(+.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 1/18 (*.f64 rand a)) (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 rand a))) (/.f64 (*.f64 1/24 (*.f64 rand (*.f64 a a))) (sqrt.f64 -1/27)))
(+.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 (pow.f64 a 3)) rand) (pow.f64 (sqrt.f64 -1/27) 5)))))
(+.f64 (/.f64 (*.f64 1/24 (*.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 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/27) 5)) 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 1/9 a))) -1)
(*.f64 1/9 a)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 1)
(*.f64 1/9 a)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) (exp.f64 (log1p.f64 (*.f64 1/9 a)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 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 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 1/729 (pow.f64 a 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))
(sqrt.f64 (*.f64 1/81 (*.f64 a a)))
(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 1/9 a))))
(*.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 1/9 a)))
(*.f64 1/9 a)
(exp.f64 (log.f64 (*.f64 1/9 a)))
(*.f64 1/9 a)
(log1p.f64 (expm1.f64 (*.f64 1/9 a)))
(*.f64 1/9 a)
(+.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -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 1/9 a -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 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/729 (fma.f64 1/81 (*.f64 a a) (*.f64 a 1/243)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683))))
(/.f64 rand (/.f64 (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 rand (/.f64 (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 (sqrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81)))) (/.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) rand))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729)) (sqrt.f64 (fma.f64 a -1/9 -1/27))) rand)
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) rand) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/729 (fma.f64 1/81 (*.f64 a a) (*.f64 a 1/243)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683))))
(/.f64 rand (/.f64 (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 rand (/.f64 (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 (sqrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81)))) (/.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) rand))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729)) (sqrt.f64 (fma.f64 a -1/9 -1/27))) rand)
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.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 1/81 (*.f64 a a) (*.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 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (cbrt.f64 (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81)))))) rand)
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (cbrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81)))) (/.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729)) (cbrt.f64 (fma.f64 a -1/9 -1/27))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (fma.f64 a -1/9 -1/27))) (cbrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729))) rand)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))))) (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))) (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))))
(pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))) 1)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))) 2)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))) 3)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))) 3) 1/3)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(sqrt.f64 (*.f64 (fma.f64 1/9 a -1/27) (*.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))))))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27))) 3))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 1/9 a -1/27) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) -1)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) 1)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 1)
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (pow.f64 1 1/2))
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 1 (sqrt.f64 (fma.f64 1/9 a -1/27)))
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4) (pow.f64 (fma.f64 1/9 a -1/27) 1/4))
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683)) (sqrt.f64 (+.f64 1/729 (fma.f64 1/81 (*.f64 a a) (*.f64 a 1/243)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (sqrt.f64 (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (sqrt.f64 (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81))))))
(*.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (/.f64 1 (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9)))))
(/.f64 (sqrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729)) (sqrt.f64 (fma.f64 a -1/9 -1/27)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 1/9 a -1/27)))
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))))
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4)))))
(*.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))))
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4)))))
(*.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 3/2))
(sqrt.f64 (fma.f64 1/9 a -1/27))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2) 1/6))
(cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))) (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683)) (sqrt.f64 (+.f64 1/729 (fma.f64 1/81 (*.f64 a a) (*.f64 a 1/243)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (sqrt.f64 (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (sqrt.f64 (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81))))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))))
(/.f64 (sqrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729)) (sqrt.f64 (fma.f64 a -1/9 -1/27)))
(/.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683)) (sqrt.f64 (+.f64 1/729 (fma.f64 1/81 (*.f64 a a) (*.f64 a 1/243)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (sqrt.f64 (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (sqrt.f64 (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81))))))
(/.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (sqrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729)) (sqrt.f64 (fma.f64 a -1/9 -1/27)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683)) (sqrt.f64 (+.f64 1/729 (fma.f64 1/81 (*.f64 a a) (*.f64 a 1/243)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (sqrt.f64 (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (sqrt.f64 (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81))))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (sqrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729)) (sqrt.f64 (fma.f64 a -1/9 -1/27)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.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 1/81 (*.f64 a a) (*.f64 a 1/243)))) (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 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (cbrt.f64 (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)))) (cbrt.f64 (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81))))))
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(*.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))))) (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2))
(*.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)))))) (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2)) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (cbrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81)))) (/.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2) (cbrt.f64 (fma.f64 a -1/9 -1/27))) (cbrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3)))) (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.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 1/81 (*.f64 a a) (*.f64 a 1/243)))) (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (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))))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 4))
(*.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)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 4))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a 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 (cbrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81)))) (/.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a (*.f64 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 (pow.f64 a 4) 1/6561)) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 1/729 (*.f64 1/81 (*.f64 a a))))
(/.f64 (/.f64 (-.f64 1/531441 (*.f64 (pow.f64 a 4) 1/6561)) (+.f64 -1/27 (*.f64 a -1/9))) (+.f64 1/729 (*.f64 1/81 (*.f64 a a))))
(/.f64 (+.f64 1/531441 (*.f64 (pow.f64 a 4) -1/6561)) (*.f64 (fma.f64 a -1/9 -1/27) (fma.f64 1/81 (*.f64 a a) 1/729)))
(/.f64 (*.f64 (-.f64 1/387420489 (pow.f64 (*.f64 1/81 (*.f64 a a)) 3)) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 (+.f64 1/531441 (*.f64 (pow.f64 a 4) 1/6561)) (*.f64 1/59049 (*.f64 a a))))
(/.f64 (-.f64 1/387420489 (*.f64 1/531441 (pow.f64 (*.f64 a a) 3))) (*.f64 (+.f64 -1/27 (*.f64 a -1/9)) (+.f64 1/531441 (+.f64 (*.f64 (pow.f64 a 4) 1/6561) (*.f64 (*.f64 a a) 1/59049)))))
(/.f64 (+.f64 1/387420489 (*.f64 (pow.f64 a 6) -1/531441)) (*.f64 (fma.f64 a -1/9 -1/27) (fma.f64 (*.f64 a a) 1/59049 (fma.f64 (pow.f64 a 4) 1/6561 1/531441))))
(/.f64 (*.f64 (-.f64 1/387420489 (*.f64 (pow.f64 a 6) 1/531441)) (/.f64 1 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a))))) (-.f64 -1/19683 (*.f64 1/729 (pow.f64 a 3))))
(/.f64 (-.f64 1/387420489 (*.f64 1/531441 (pow.f64 a 6))) (*.f64 (+.f64 1/729 (fma.f64 1/81 (*.f64 a a) (*.f64 a 1/243))) (+.f64 -1/19683 (*.f64 -1/729 (pow.f64 a 3)))))
(/.f64 (+.f64 1/387420489 (*.f64 (pow.f64 a 6) -1/531441)) (*.f64 (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243))) (+.f64 -1/19683 (*.f64 (pow.f64 a 3) -1/729))))
(/.f64 (+.f64 1/387420489 (*.f64 (pow.f64 a 6) -1/531441)) (*.f64 (+.f64 1/729 (*.f64 a (+.f64 1/243 (*.f64 a 1/81)))) (+.f64 -1/19683 (*.f64 (pow.f64 a 3) -1/729))))
(/.f64 (*.f64 (+.f64 -1/7625597484987 (pow.f64 (*.f64 1/729 (pow.f64 a 3)) 3)) (/.f64 1 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a))))) (+.f64 1/387420489 (+.f64 (*.f64 (pow.f64 a 6) 1/531441) (*.f64 1/19683 (*.f64 1/729 (pow.f64 a 3))))))
(/.f64 (/.f64 (+.f64 -1/7625597484987 (*.f64 1/387420489 (pow.f64 (pow.f64 a 3) 3))) (+.f64 1/729 (fma.f64 1/81 (*.f64 a a) (*.f64 a 1/243)))) (+.f64 1/387420489 (fma.f64 (pow.f64 a 6) 1/531441 (*.f64 1/14348907 (pow.f64 a 3)))))
(/.f64 (/.f64 (fma.f64 1/387420489 (pow.f64 (pow.f64 a 3) 3) -1/7625597484987) (+.f64 1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243)))) (+.f64 1/387420489 (fma.f64 1/531441 (pow.f64 a 6) (*.f64 (pow.f64 a 3) 1/14348907))))
(/.f64 (/.f64 (fma.f64 1/387420489 (pow.f64 (pow.f64 a 3) 3) -1/7625597484987) (+.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 1/81 (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) (*.f64 a a))))
(/.f64 (fma.f64 a (*.f64 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 1/81 (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) (*.f64 a a))))
(/.f64 (fma.f64 a (*.f64 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 1/81 (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) (*.f64 a a))))
(/.f64 (fma.f64 a (*.f64 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 1/81 (*.f64 a a)) (*.f64 1/243 a))))
(*.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 1/729 (fma.f64 1/81 (*.f64 a a) (*.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 1/81 (*.f64 a a)) (*.f64 1/243 a))))) (sqrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(*.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 1/729 (fma.f64 1/81 (*.f64 a a) (*.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 1/81 (*.f64 a a)) (*.f64 1/243 a)))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))) (cbrt.f64 (+.f64 1/729 (+.f64 (*.f64 1/81 (*.f64 a a)) (*.f64 1/243 a)))))
(*.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 1/729 (fma.f64 1/81 (*.f64 a a) (*.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 1/9 a -1/27))) (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/9 a -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 1/81 (*.f64 a a)) (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 1/81 (*.f64 a a)) (+.f64 -1/27 (*.f64 a -1/9))))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 1/81 (*.f64 a a)) (+.f64 -1/27 (*.f64 a -1/9)))))
(/.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 1/81 (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) (*.f64 a a))) (/.f64 1/81 (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) (*.f64 a a))))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 1/81 (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) (*.f64 a a)))))
(/.f64 (-.f64 (/.f64 (/.f64 1/531441 (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 1/81 (fma.f64 a -1/9 -1/27)) (*.f64 a a))))
(/.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 1/9 a -1/27) 1)
(fma.f64 1/9 a -1/27)
(pow.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) 2)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 1/9 a -1/27) 1/4) 4)
(fma.f64 1/9 a -1/27)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 6)
(fma.f64 1/9 a -1/27)
(pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 3)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 1/9 a -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 1/9 a -1/27) 3) 1/3)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 1/9 a -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 1/81 (*.f64 a a) -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 1/81 (*.f64 a a)) (*.f64 1/243 a))))))
(/.f64 (+.f64 1/19683 (*.f64 -1/729 (pow.f64 a 3))) (-.f64 -1/729 (fma.f64 1/81 (*.f64 a a) (*.f64 a 1/243))))
(/.f64 (fma.f64 -1/729 (pow.f64 a 3) 1/19683) (-.f64 -1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243))))
(/.f64 (fma.f64 -1/729 (pow.f64 a 3) 1/19683) (+.f64 -1/729 (*.f64 a (-.f64 -1/243 (*.f64 a 1/81)))))
(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 1/9 a -1/27)))
(fma.f64 1/9 a -1/27)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/9 a -1/27))))
(fma.f64 1/9 a -1/27)
(cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3))
(fma.f64 1/9 a -1/27)
(expm1.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))
(fma.f64 1/9 a -1/27)
(exp.f64 (log.f64 (fma.f64 1/9 a -1/27)))
(fma.f64 1/9 a -1/27)
(log1p.f64 (expm1.f64 (fma.f64 1/9 a -1/27)))
(fma.f64 1/9 a -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 (*.f64 1/9 a) -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (*.f64 1/3 (sqrt.f64 a)) (*.f64 1/3 (sqrt.f64 a)) -1/27)
(+.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 a)) 2) -1/27)
(+.f64 -1/27 (pow.f64 (*.f64 1/3 (sqrt.f64 a)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 a)) 2) (cbrt.f64 (*.f64 1/9 a)) -1/27)
(fma.f64 1/9 a -1/27)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
24.7b
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
Compiler

Compiled 25 to 14 computations (44% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite68.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1550×associate-/r*
1356×associate-/l*
1068×associate-/r/
972×*-commutative
718×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
12147
230387
Stop Event
node limit
Counts
1 → 91
Calls
Call 1
Inputs
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 (-.f64 -1/3 a)) (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 (-.f64 -1/3 a)) (*.f64 1 (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 (-.f64 -1/3 a)) (*.f64 (/.f64 1 (-.f64 -1/3 a)) (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a)) (/.f64 1/9 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 -1/3 a)) (*.f64 a (neg.f64 a))) (/.f64 1/9 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) a) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) -1/3) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (/.f64 1/9 (-.f64 -1/3 a))) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) 1/9) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (*.f64 a (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (*.f64 a (+.f64 a -1/3))) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a a))) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 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simplify73.0ms (0.7%)

Algorithm
egg-herbie
Rules
960×associate-/l/
896×associate-/r/
610×associate-*r*
500×distribute-lft-in
494×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02653551
19113247
245543221
Stop Event
node limit
Counts
103 → 149
Calls
Call 1
Inputs
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(+.f64 (/.f64 1/9 (-.f64 -1/3 a)) (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a)))
(+.f64 (/.f64 1/9 (-.f64 -1/3 a)) (*.f64 1 (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a))))
(+.f64 (/.f64 1/9 (-.f64 -1/3 a)) (*.f64 (/.f64 1 (-.f64 -1/3 a)) (*.f64 a (neg.f64 a))))
(+.f64 (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a)) (/.f64 1/9 (-.f64 -1/3 a)))
(+.f64 (*.f64 (/.f64 1 (-.f64 -1/3 a)) (*.f64 a (neg.f64 a))) (/.f64 1/9 (-.f64 -1/3 a)))
(+.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) a) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) -1/3))
(+.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) -1/3) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) a))
(+.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (/.f64 1/9 (-.f64 -1/3 a))) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a))))
(+.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) 1/9) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (*.f64 a (+.f64 a -1/3))))
(+.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (*.f64 a (+.f64 a -1/3))) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) 1/9))
(+.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a a))) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (*.f64 a -1/3)))
(-.f64 -1/3 (neg.f64 a))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (*.f64 (/.f64 a (-.f64 -1/3 a)) a))
(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(*.f64 1 (+.f64 a -1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (-.f64 -1/3 a))))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (-.f64 -1/3 a))))
(*.f64 (+.f64 a -1/3) 1)
(*.f64 (+.f64 a -1/3) (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(*.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3))) (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))))
(*.f64 (+.f64 -1/9 (*.f64 a a)) (/.f64 1 (+.f64 1/3 a)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (-.f64 -1/3 a))) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))) (/.f64 1 (sqrt.f64 (-.f64 -1/3 a))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1/3 a))) (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (/.f64 (-.f64 1/9 (*.f64 a a)) (cbrt.f64 (-.f64 -1/3 a))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (cbrt.f64 (-.f64 -1/3 a))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (+.f64 a -1/3))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3))))
(*.f64 (/.f64 1 (-.f64 1/9 (*.f64 a a))) (*.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a -1/3)))
(*.f64 (/.f64 1 (-.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 1 (+.f64 1/3 a)) (+.f64 -1/9 (*.f64 a a)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (-.f64 -1/3 a))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (-.f64 -1/3 a))) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (-.f64 -1/3 a))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (-.f64 -1/3 a))) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (sqrt.f64 (-.f64 -1/3 a))) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (-.f64 -1/3 a)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (-.f64 -1/3 a)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (sqrt.f64 (-.f64 -1/3 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (-.f64 -1/3 a))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2)) (/.f64 (+.f64 a -1/3) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 -1/9 (*.f64 a a))) (neg.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 -1/9 (*.f64 a a)) (+.f64 -1/9 (*.f64 a a))) (+.f64 a -1/3))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/81 (pow.f64 a 4))) (*.f64 (+.f64 1/9 (*.f64 a a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/729 (pow.f64 a 6))) (*.f64 (+.f64 a -1/3) (+.f64 (*.f64 a (*.f64 1/9 a)) (+.f64 (pow.f64 a 4) 1/81))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (-.f64 -1/3 a)) (cbrt.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (neg.f64 (-.f64 -1/27 (pow.f64 a 3)))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 (neg.f64 a) (neg.f64 a)))) (+.f64 a -1/3))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 -1/27 (pow.f64 (neg.f64 a) 3))) (+.f64 1/9 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 -1/3 (neg.f64 a)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 -1/3 a) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2))) (cbrt.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 (+.f64 -1/9 (*.f64 a a)) (neg.f64 (-.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3))))
(*.f64 (/.f64 (*.f64 (-.f64 1/81 (pow.f64 a 4)) (/.f64 1 (-.f64 -1/3 a))) (-.f64 1/81 (pow.f64 a 4))) (-.f64 1/9 (*.f64 a a)))
(*.f64 (/.f64 (*.f64 (-.f64 1/81 (pow.f64 a 4)) (/.f64 1 (-.f64 -1/3 a))) (+.f64 1/729 (pow.f64 a 6))) (-.f64 (+.f64 (pow.f64 a 4) 1/81) (*.f64 a (*.f64 1/9 a))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/729 (pow.f64 a 6))) (-.f64 1/6561 (*.f64 (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 1/9 a))) (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 1/9 a)))))) (-.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 1/9 a)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/729 (pow.f64 a 6))) (+.f64 1/531441 (pow.f64 (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 1/9 a))) 3))) (+.f64 1/6561 (-.f64 (*.f64 (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 1/9 a))) (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 1/9 a)))) (*.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 1/9 a)))))))
(*.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (cbrt.f64 (-.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (*.f64 a a) (-.f64 -1/3 a))) (pow.f64 (-.f64 1/9 (*.f64 a a)) 2)) (pow.f64 (+.f64 a -1/3) 2))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (*.f64 a a) (-.f64 -1/3 a))) (*.f64 (-.f64 -1/27 (pow.f64 a 3)) (-.f64 -1/27 (pow.f64 a 3)))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (*.f64 a a) (-.f64 -1/3 a))) (*.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))) (+.f64 a -1/3))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (*.f64 a a) (-.f64 -1/3 a))) (*.f64 (-.f64 -1/3 a) (-.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3))))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (*.f64 a a) (-.f64 -1/3 a))) (*.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3)))) (*.f64 (+.f64 a -1/3) (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(pow.f64 (+.f64 a -1/3) 1)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(neg.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 1/3 a)))
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(log.f64 (exp.f64 (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/9 (*.f64 a a)) 3) (pow.f64 (-.f64 -1/3 a) 3)))
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(exp.f64 (log.f64 (+.f64 a -1/3)))
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
Outputs
-1/3
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(+.f64 -1/3 a)
(+.f64 (/.f64 1/9 (-.f64 -1/3 a)) (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 a (/.f64 (-.f64 -1/3 a) a)))
(+.f64 (/.f64 1/9 (-.f64 -1/3 a)) (*.f64 1 (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a))))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 a (/.f64 (-.f64 -1/3 a) a)))
(+.f64 (/.f64 1/9 (-.f64 -1/3 a)) (*.f64 (/.f64 1 (-.f64 -1/3 a)) (*.f64 a (neg.f64 a))))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 a (/.f64 (-.f64 -1/3 a) a)))
(+.f64 (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a)) (/.f64 1/9 (-.f64 -1/3 a)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 a (/.f64 (-.f64 -1/3 a) a)))
(+.f64 (*.f64 (/.f64 1 (-.f64 -1/3 a)) (*.f64 a (neg.f64 a))) (/.f64 1/9 (-.f64 -1/3 a)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 a (/.f64 (-.f64 -1/3 a) a)))
(+.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) a) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) -1/3))
(+.f64 -1/3 a)
(+.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) -1/3) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) a))
(+.f64 -1/3 a)
(+.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (/.f64 1/9 (-.f64 -1/3 a))) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a))))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 a (/.f64 (-.f64 -1/3 a) a)))
(+.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) 1/9) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (*.f64 a (+.f64 a -1/3))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 -1/3 a))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (fma.f64 a (+.f64 -1/3 a) 1/9))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (fma.f64 a (+.f64 -1/3 a) 1/9) (-.f64 -1/27 (pow.f64 a 3))))
(+.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (*.f64 a (+.f64 a -1/3))) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) 1/9))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 -1/3 a))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (fma.f64 a (+.f64 -1/3 a) 1/9))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (fma.f64 a (+.f64 -1/3 a) 1/9) (-.f64 -1/27 (pow.f64 a 3))))
(+.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a a))) (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (*.f64 a -1/3)))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 -1/3 a))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (fma.f64 a (+.f64 -1/3 a) 1/9))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (fma.f64 a (+.f64 -1/3 a) 1/9) (-.f64 -1/27 (pow.f64 a 3))))
(-.f64 -1/3 (neg.f64 a))
(+.f64 -1/3 a)
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (*.f64 (/.f64 a (-.f64 -1/3 a)) a))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 a (/.f64 (-.f64 -1/3 a) a)))
(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
(+.f64 (exp.f64 (log1p.f64 a)) -4/3)
(+.f64 -1/3 (expm1.f64 (log1p.f64 a)))
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)
(+.f64 -1/3 a)
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)
(+.f64 (exp.f64 (log1p.f64 a)) -4/3)
(+.f64 -1/3 (expm1.f64 (log1p.f64 a)))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(*.f64 1 (+.f64 a -1/3))
(+.f64 -1/3 a)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (-.f64 -1/3 a))))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))
(+.f64 -1/3 a)
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)))
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(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/729 (pow.f64 a 6))) (-.f64 1/6561 (*.f64 (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/9))) (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/9)))))) (-.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/9)))))
(*.f64 (/.f64 (/.f64 (-.f64 1/729 (pow.f64 a 6)) (-.f64 -1/3 a)) (-.f64 1/6561 (*.f64 (fma.f64 a (*.f64 a 1/9) (pow.f64 a 4)) (fma.f64 a (*.f64 a 1/9) (pow.f64 a 4))))) (-.f64 1/81 (fma.f64 a (*.f64 a 1/9) (pow.f64 a 4))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/729 (pow.f64 a 6))) (+.f64 1/531441 (pow.f64 (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 1/9 a))) 3))) (+.f64 1/6561 (-.f64 (*.f64 (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 1/9 a))) (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 1/9 a)))) (*.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 1/9 a)))))))
(/.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/729 (pow.f64 a 6))) (+.f64 1/6561 (*.f64 (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/9))) (-.f64 (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/9))) 1/81)))) (+.f64 1/531441 (pow.f64 (+.f64 (pow.f64 a 4) (*.f64 a (*.f64 a 1/9))) 3)))
(/.f64 (*.f64 (/.f64 (-.f64 1/729 (pow.f64 a 6)) (-.f64 -1/3 a)) (fma.f64 (fma.f64 a (*.f64 a 1/9) (pow.f64 a 4)) (+.f64 (fma.f64 a (*.f64 a 1/9) (pow.f64 a 4)) -1/81) 1/6561)) (+.f64 1/531441 (pow.f64 (fma.f64 a (*.f64 a 1/9) (pow.f64 a 4)) 3)))
(*.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (-.f64 -1/3 a))) (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a)))))
(*.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 -1/3 a)))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (sqrt.f64 (-.f64 -1/3 a)) (sqrt.f64 (-.f64 -1/27 (pow.f64 a 3))))) (sqrt.f64 (fma.f64 a (+.f64 -1/3 a) 1/9)))
(*.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2))))
(*.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (cbrt.f64 (-.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (cbrt.f64 (-.f64 -1/27 (pow.f64 a 3))) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 -1/3 a)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (cbrt.f64 (fma.f64 a (+.f64 -1/3 a) 1/9))) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (cbrt.f64 (-.f64 -1/27 (pow.f64 a 3))))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (*.f64 a a) (-.f64 -1/3 a))) (pow.f64 (-.f64 1/9 (*.f64 a a)) 2)) (pow.f64 (+.f64 a -1/3) 2))
(*.f64 (/.f64 (*.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))) (pow.f64 (-.f64 1/9 (*.f64 a a)) 2)) (pow.f64 (+.f64 -1/3 a) 2))
(*.f64 (/.f64 (/.f64 (-.f64 -1/3 a) 1) (-.f64 1/9 (*.f64 a a))) (pow.f64 (+.f64 -1/3 a) 2))
(*.f64 (pow.f64 (+.f64 -1/3 a) 2) (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (*.f64 a a) (-.f64 -1/3 a))) (*.f64 (-.f64 -1/27 (pow.f64 a 3)) (-.f64 -1/27 (pow.f64 a 3)))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (*.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))) (*.f64 (-.f64 -1/27 (pow.f64 a 3)) (-.f64 -1/27 (pow.f64 a 3)))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 -1/3 a))) (+.f64 1/9 (*.f64 a (+.f64 -1/3 a)))))
(*.f64 (fma.f64 a (+.f64 -1/3 a) 1/9) (/.f64 (*.f64 (-.f64 -1/3 a) (*.f64 (-.f64 1/9 (*.f64 a a)) (fma.f64 a (+.f64 -1/3 a) 1/9))) (*.f64 (-.f64 -1/27 (pow.f64 a 3)) (-.f64 -1/27 (pow.f64 a 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (*.f64 a a) (-.f64 -1/3 a))) (*.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))) (+.f64 a -1/3))
(+.f64 -1/3 a)
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (*.f64 a a) (-.f64 -1/3 a))) (*.f64 (-.f64 -1/3 a) (-.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 -1/3 a))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (fma.f64 a (+.f64 -1/3 a) 1/9))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (fma.f64 a (+.f64 -1/3 a) 1/9) (-.f64 -1/27 (pow.f64 a 3))))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (*.f64 a a) (-.f64 -1/3 a))) (*.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3)))) (*.f64 (+.f64 a -1/3) (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (*.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))) (*.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3)))) (*.f64 (+.f64 -1/3 a) (+.f64 1/9 (*.f64 a (+.f64 -1/3 a)))))
(*.f64 (fma.f64 a (+.f64 -1/3 a) 1/9) (/.f64 (*.f64 (/.f64 (-.f64 -1/3 a) 1) (+.f64 -1/3 a)) (-.f64 -1/27 (pow.f64 a 3))))
(*.f64 (fma.f64 a (+.f64 -1/3 a) 1/9) (/.f64 (*.f64 (*.f64 1 (-.f64 -1/3 a)) (+.f64 -1/3 a)) (-.f64 -1/27 (pow.f64 a 3))))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(+.f64 -1/3 a)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(+.f64 -1/3 a)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(+.f64 -1/3 a)
(pow.f64 (+.f64 a -1/3) 1)
(+.f64 -1/3 a)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(+.f64 -1/3 a)
(neg.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 1/3 a)))
(*.f64 (+.f64 (*.f64 a a) -1/9) (/.f64 1 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))
(fabs.f64 (+.f64 -1/3 a))
(log.f64 (exp.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))
(+.f64 -1/3 a)
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(+.f64 -1/3 a)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/9 (*.f64 a a)) 3) (pow.f64 (-.f64 -1/3 a) 3)))
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(+.f64 -1/3 a)
(exp.f64 (log.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 17 to 7 computations (58.8% saved)

series2.0ms (0%)

Counts
2 → 0
Calls

12 calls:

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

rewrite55.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1624×add-sqr-sqrt
1604×*-un-lft-identity
1488×add-cube-cbrt
1470×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
117828
2205428
Stop Event
node limit
Counts
2 → 26
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) rand)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a (*.f64 rand rand)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 a) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 a (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) rand)))))))

simplify43.0ms (0.4%)

Algorithm
egg-herbie
Rules
1116×associate-+r+
1048×associate-+l+
998×fma-def
768×associate-*r/
680×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064376
1146376
2580376
32551372
Stop Event
node limit
Counts
26 → 31
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) 1)
(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 a (*.f64 rand rand)) 1/9))
(log.f64 (pow.f64 (exp.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 (sqrt.f64 a) rand))) 1)
(pow.f64 (*.f64 (sqrt.f64 a) rand) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) 1/3)
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 a) rand))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) rand)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) rand)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 2)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 3)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(pow.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 3) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(sqrt.f64 (*.f64 (*.f64 a (*.f64 rand rand)) 1/9))
(sqrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))))
(fabs.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (sqrt.f64 a) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 3))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 a) rand))) 1)
(*.f64 (sqrt.f64 a) rand)
(pow.f64 (*.f64 (sqrt.f64 a) rand) 1)
(*.f64 (sqrt.f64 a) rand)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) 2)
(*.f64 (sqrt.f64 a) rand)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) 3)
(*.f64 (sqrt.f64 a) rand)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) 1/3)
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(fabs.f64 (*.f64 (sqrt.f64 a) rand))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) rand))
(*.f64 (sqrt.f64 a) rand)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 a) rand))))
(*.f64 (sqrt.f64 a) rand)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3))
(*.f64 (sqrt.f64 a) rand)
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) rand)))
(*.f64 (sqrt.f64 a) rand)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)))
(*.f64 (sqrt.f64 a) rand)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)) 1))
(*.f64 (sqrt.f64 a) rand)
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) rand)))
(*.f64 (sqrt.f64 a) rand)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 rand (*.f64 rand a))
0.3b
(*.f64 1/9 (*.f64 rand (*.f64 rand a)))
24.6b
(sqrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))
Compiler

Compiled 28 to 10 computations (64.3% saved)

series4.0ms (0%)

Counts
3 → 60
Calls

18 calls:

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

rewrite65.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1848×add-sqr-sqrt
1830×*-un-lft-identity
1702×add-cube-cbrt
1678×add-cbrt-cube
190×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01055
120149
2235849
Stop Event
node limit
Counts
3 → 56
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))
(*.f64 1/9 (*.f64 rand (*.f64 rand a)))
(*.f64 rand (*.f64 rand a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (sqrt.f64 a)) (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) (sqrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 rand (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) (cbrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/9 rand)) (sqrt.f64 (*.f64 rand a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) (*.f64 rand (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/9 rand) 1/2) (sqrt.f64 (*.f64 rand a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 1/9 rand)) (*.f64 rand a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand (*.f64 rand a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (*.f64 rand a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (*.f64 rand a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (*.f64 rand a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (*.f64 rand a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (*.f64 rand a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (*.f64 rand a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (*.f64 rand a))))))))

simplify68.0ms (0.6%)

Algorithm
egg-herbie
Rules
896×unswap-sqr
596×*-commutative
566×+-commutative
556×distribute-lft-in
550×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241920
12921920
212051920
347961920
Stop Event
node limit
Counts
116 → 66
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (pow.f64 rand 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))) 1)
(*.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 1)
(*.f64 1 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))
(*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)
(*.f64 (*.f64 rand (sqrt.f64 a)) (pow.f64 1/9 1/2))
(*.f64 (sqrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) (sqrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))
(*.f64 1/3 (*.f64 rand (sqrt.f64 a)))
(*.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) (cbrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))))
(*.f64 (sqrt.f64 (*.f64 1/9 rand)) (sqrt.f64 (*.f64 rand a)))
(*.f64 (pow.f64 1/9 1/2) (*.f64 rand (sqrt.f64 a)))
(*.f64 (pow.f64 1 1/2) (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 1/2))
(*.f64 (pow.f64 (*.f64 1/9 rand) 1/2) (sqrt.f64 (*.f64 rand a)))
(pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 1/2)
(pow.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 3) 1/3)
(fabs.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 rand (sqrt.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))
(exp.f64 (log.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))) 1)
(pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 1)
(pow.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 3)
(pow.f64 (pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/9 rand)) (*.f64 rand a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))))
(cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))))
(exp.f64 (log.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (*.f64 rand a)))) 1)
(pow.f64 (*.f64 rand (*.f64 rand a)) 1)
(pow.f64 (*.f64 rand (sqrt.f64 a)) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 3)
(pow.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 2))
(log.f64 (pow.f64 (exp.f64 rand) (*.f64 rand a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (*.f64 rand a)))))
(cbrt.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (*.f64 rand a))))
(exp.f64 (log.f64 (*.f64 rand (*.f64 rand a))))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (*.f64 rand a))) 1))
(log1p.f64 (expm1.f64 (*.f64 rand (*.f64 rand a))))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 rand (sqrt.f64 a)) (pow.f64 1/9 1/2))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) (sqrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) (cbrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (cbrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 (*.f64 1/9 rand)) (sqrt.f64 (*.f64 rand a)))
(*.f64 (sqrt.f64 (*.f64 a rand)) (sqrt.f64 (*.f64 rand 1/9)))
(*.f64 (pow.f64 1/9 1/2) (*.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (pow.f64 1 1/2) (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 1/2))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (pow.f64 (*.f64 1/9 rand) 1/2) (sqrt.f64 (*.f64 rand a)))
(*.f64 (sqrt.f64 (*.f64 a rand)) (sqrt.f64 (*.f64 rand 1/9)))
(pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 1/2)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(pow.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) 2)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) 3)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(pow.f64 (pow.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 3) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(fabs.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 rand (sqrt.f64 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 3))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(exp.f64 (log.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 1/2))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)) 1))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))) 1)
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 1)
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(pow.f64 (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) 2)
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 3)
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(pow.f64 (pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 2) 1/2)
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(pow.f64 (pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 3) 1/3)
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(sqrt.f64 (pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 2))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/9 rand)) (*.f64 rand a)))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))) 3))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(exp.f64 (log.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))) 1))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a)))))
(*.f64 (*.f64 rand 1/9) (*.f64 a rand))
(*.f64 rand (*.f64 1/9 (*.f64 a rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (*.f64 rand a)))) 1)
(*.f64 a (*.f64 rand rand))
(pow.f64 (*.f64 rand (*.f64 rand a)) 1)
(*.f64 a (*.f64 rand rand))
(pow.f64 (*.f64 rand (sqrt.f64 a)) 2)
(*.f64 a (*.f64 rand rand))
(pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 3)
(*.f64 a (*.f64 rand rand))
(pow.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3) 1/3)
(*.f64 a (*.f64 rand rand))
(sqrt.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 2))
(*.f64 a (*.f64 rand rand))
(log.f64 (pow.f64 (exp.f64 rand) (*.f64 rand a)))
(*.f64 a (*.f64 rand rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (*.f64 rand a)))))
(*.f64 a (*.f64 rand rand))
(cbrt.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3))
(*.f64 a (*.f64 rand rand))
(expm1.f64 (log1p.f64 (*.f64 rand (*.f64 rand a))))
(*.f64 a (*.f64 rand rand))
(exp.f64 (log.f64 (*.f64 rand (*.f64 rand a))))
(*.f64 a (*.f64 rand rand))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (*.f64 rand a))) 1))
(*.f64 a (*.f64 rand rand))
(log1p.f64 (expm1.f64 (*.f64 rand (*.f64 rand a))))
(*.f64 a (*.f64 rand rand))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 35 to 15 computations (57.1% saved)

series1.0ms (0%)

Counts
1 → 15
Calls

6 calls:

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

rewrite77.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1000×associate-*r/
914×associate-*l/
788×distribute-rgt-in
740×distribute-lft-in
256×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
124525
2327625
Stop Event
node limit
Counts
1 → 96
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 1 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 1 (*.f64 (+.f64 a -1/3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 (*.f64 (+.f64 a -1/3) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) -1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a -1/3) 1) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) (sqrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (*.f64 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simplify96.0ms (0.9%)

Algorithm
egg-herbie
Rules
1254×associate-/l*
1018×*-commutative
980×associate-/r*
690×associate-*r/
520×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02637585
17467397
230837329
Stop Event
node limit
Counts
111 → 159
Calls
Call 1
Inputs
-1/3
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(+.f64 a (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) -1/3))
(+.f64 a (*.f64 1 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) -1/3)))
(+.f64 a (*.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) -1/3) 1))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 1 (*.f64 (+.f64 a -1/3) 1)))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 (*.f64 (+.f64 a -1/3) 1) 1))
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)
(+.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(+.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) -1/3) a)
(+.f64 (*.f64 (+.f64 a -1/3) 1) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(*.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3) 1)
(*.f64 1 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) (sqrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) 2) (cbrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (/.f64 1 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))
(*.f64 (/.f64 1 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9)) (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (+.f64 1/27 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3))) (-.f64 (+.f64 1/9 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2)) (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (-.f64 (*.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2)) (*.f64 (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (-.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) 3) (pow.f64 (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) 3))) (+.f64 (*.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2)) (-.f64 (*.f64 (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))) (*.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))))
(/.f64 1 (/.f64 1 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (-.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3))) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
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(fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) -1/3)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 a (*.f64 rand rand)) 1/9)) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 a)) rand (+.f64 a -1/3))
Outputs
-1/3
a
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(+.f64 a (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(+.f64 a (*.f64 1 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) -1/3)))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(+.f64 a (*.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) -1/3) 1))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 (+.f64 a -1/3) 1))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 1 (*.f64 (+.f64 a -1/3) 1)))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (*.f64 (*.f64 (+.f64 a -1/3) 1) 1))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(+.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) -1/3) a)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(+.f64 (*.f64 (+.f64 a -1/3) 1) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(*.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3) 1)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(*.f64 1 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) (sqrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) 2))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) 2) (cbrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (/.f64 1 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))
(/.f64 (-.f64 1/9 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2)) (-.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(*.f64 (/.f64 1 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))
(/.f64 (-.f64 1/9 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2)) (-.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9)) (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (+.f64 1/27 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3))) (-.f64 (+.f64 1/9 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2)) (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) 1/27)) (+.f64 1/9 (-.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) 1/27)) (+.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) (+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (-.f64 (*.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2)) (*.f64 (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (-.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (-.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 4) (*.f64 (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (-.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (-.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 4) (*.f64 (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)))) (-.f64 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) (+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) 1/9))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (-.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 4) (*.f64 (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)))) (+.f64 -1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) (+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) 3) (pow.f64 (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) 3))) (+.f64 (*.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2)) (-.f64 (*.f64 (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))) (*.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) 3) (pow.f64 (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) 3))) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 4) (*.f64 (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) (-.f64 (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9) 3) (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 6))) (fma.f64 (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9) (-.f64 (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9) (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2)) (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 4)))
(/.f64 (fma.f64 (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9) (+.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) (-.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))) (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 4)) (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9) 3) (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 6)) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27)))
(/.f64 1 (/.f64 1 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (-.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3))) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
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(/.f64 (-.f64 1/9 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2)) (-.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (*.f64 (cbrt.f64 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))) (cbrt.f64 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))) (cbrt.f64 (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) -1/9) (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))
(/.f64 (-.f64 1/9 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2)) (-.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) 1) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (+.f64 1/9 (*.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2) (fma.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1/9)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) -1/27) (+.f64 1/9 (*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) (+.f64 1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))
(pow.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3) 1)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) 2)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) 3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3) 3) 1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3) 2))
(sqrt.f64 (pow.f64 (+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3)) 2))
(fabs.f64 (+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))
(log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3))))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3) 3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(expm1.f64 (log.f64 (+.f64 2/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))
(expm1.f64 (log.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2/3)))
(exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)) 1))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (+.f64 a -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(fma.f64 (*.f64 (sqrt.f64 a) rand) 1/3 (+.f64 a -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (+.f64 a -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(fma.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (+.f64 a -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 a (*.f64 rand rand)) 1/9)) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (*.f64 a (*.f64 (*.f64 rand rand) 1/9))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (+.f64 -1/3 a))
(fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (+.f64 -1/3 a))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (*.f64 a 1/9))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (+.f64 -1/3 a))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))
(fma.f64 (*.f64 1/3 (sqrt.f64 a)) rand (+.f64 a -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) -1/3))
(+.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))

eval329.0ms (3%)

Compiler

Compiled 17335 to 11738 computations (32.3% saved)

prune152.0ms (1.4%)

Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New7443747
Fresh099
Picked101
Done088
Total74520765
Error
0b
Counts
765 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
18.2b
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
40.4b
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
0.1b
(-.f64 (+.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) a) 1/3)
1.3b
(-.f64 (+.f64 (*.f64 rand (sqrt.f64 (*.f64 1/9 a))) a) 1/3)
21.9b
(-.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 rand rand)) 1/9)) a) 1/3)
18.0b
(-.f64 a 1/3)
1.4b
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) 3))
46.9b
(+.f64 -1/3 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9)))))
48.3b
(*.f64 (/.f64 1 (-.f64 1/9 (*.f64 a a))) (*.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a -1/3)))
40.5b
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
1.4b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
1.4b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
45.4b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
46.5b
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
45.4b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
46.5b
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
61.4b
(sqrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))
18.8b
a
63.0b
-1/3
Compiler

Compiled 223 to 171 computations (23.3% saved)

regimes75.0ms (0.7%)

Counts
34 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(*.f64 (/.f64 1 (-.f64 1/9 (*.f64 a a))) (*.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a -1/3)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(sqrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 rand (sqrt.f64 (*.f64 1/9 a))) 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 (/.f64 rand 3) (sqrt.f64 a))))
(+.f64 -1/3 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9)))))
(-.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 rand rand)) 1/9)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) a) 1/3)
(-.f64 (+.f64 (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) a) 1/3)
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9)))))
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) 3))
(-.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9))) 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 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(/.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 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (/.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (+.f64 a -1/3)))
(*.f64 (pow.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 2) (*.f64 1/3 rand))
(+.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (/.f64 1 (+.f64 a -1/3)))
Outputs
(-.f64 (+.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) a) 1/3)
Calls

4 calls:

17.0ms
(-.f64 a (/.f64 1 3))
16.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
16.0ms
a
15.0ms
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 433 to 315 computations (27.3% saved)

regimes26.0ms (0.2%)

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

2 calls:

11.0ms
rand
10.0ms
a
Results
ErrorSegmentsBranch
0.2b1a
0.2b1rand
Compiler

Compiled 181 to 122 computations (32.6% saved)

regimes25.0ms (0.2%)

Counts
19 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(*.f64 (/.f64 1 (-.f64 1/9 (*.f64 a a))) (*.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a -1/3)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(sqrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 rand (sqrt.f64 (*.f64 1/9 a))) 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 (/.f64 rand 3) (sqrt.f64 a))))
(+.f64 -1/3 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9)))))
(-.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 rand rand)) 1/9)) a) 1/3)
Outputs
(-.f64 (+.f64 (*.f64 rand (sqrt.f64 (*.f64 1/9 a))) a) 1/3)
Calls

2 calls:

10.0ms
rand
10.0ms
a
Results
ErrorSegmentsBranch
1.3b1a
1.3b1rand
Compiler

Compiled 169 to 113 computations (33.1% saved)

regimes20.0ms (0.2%)

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

2 calls:

8.0ms
rand
8.0ms
a
Results
ErrorSegmentsBranch
1.4b1a
1.4b1rand
Compiler

Compiled 111 to 72 computations (35.1% saved)

regimes37.0ms (0.3%)

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

2 calls:

21.0ms
rand
14.0ms
a
Results
ErrorSegmentsBranch
16.7b2a
3.3b3rand
Compiler

Compiled 101 to 67 computations (33.7% saved)

bsearch44.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
2.426999537111931e+122
2.484826071001357e+131
23.0ms
-1.4220294500904217e+74
-1.105697664975691e+64
Results
39.0ms304×body256valid
Compiler

Compiled 350 to 289 computations (17.4% saved)

regimes34.0ms (0.3%)

Counts
11 → 3
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(*.f64 (/.f64 1 (-.f64 1/9 (*.f64 a a))) (*.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a -1/3)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(sqrt.f64 (*.f64 1/9 (*.f64 rand (*.f64 rand a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 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:

18.0ms
rand
12.0ms
a
Results
ErrorSegmentsBranch
16.7b2a
3.3b3rand
Compiler

Compiled 85 to 56 computations (34.1% saved)

bsearch44.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
2.426999537111931e+122
2.484826071001357e+131
23.0ms
-1.4220294500904217e+74
-1.105697664975691e+64
Results
40.0ms304×body256valid
Compiler

Compiled 350 to 289 computations (17.4% saved)

regimes25.0ms (0.2%)

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

2 calls:

17.0ms
rand
6.0ms
a
Results
ErrorSegmentsBranch
18.0b1a
4.3b3rand
Compiler

Compiled 77 to 50 computations (35.1% saved)

bsearch44.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
2.426999537111931e+122
2.484826071001357e+131
23.0ms
-1.4220294500904217e+74
-1.105697664975691e+64
Results
40.0ms304×body256valid
Compiler

Compiled 312 to 251 computations (19.6% saved)

regimes21.0ms (0.2%)

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

2 calls:

14.0ms
rand
5.0ms
a
Results
ErrorSegmentsBranch
18.0b1a
4.3b3rand
Compiler

Compiled 56 to 36 computations (35.7% saved)

bsearch84.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
2.426999537111931e+122
2.484826071001357e+131
63.0ms
-1.4220294500904217e+74
-1.105697664975691e+64
Results
80.0ms304×body256valid
Compiler

Compiled 312 to 251 computations (19.6% saved)

regimes71.0ms (0.6%)

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

2 calls:

64.0ms
rand
5.0ms
a
Results
ErrorSegmentsBranch
18.0b1a
18.0b1rand
Compiler

Compiled 50 to 32 computations (36% saved)

regimes8.0ms (0.1%)

Accuracy

Total -44.6b remaining (-237%)

Threshold costs -44.6b (-237%)

Counts
2 → 1
Calls
Call 1
Inputs
-1/3
a
Outputs
a
Calls

2 calls:

4.0ms
rand
3.0ms
a
Results
ErrorSegmentsBranch
18.8b1a
18.8b1rand
Compiler

Compiled 10 to 7 computations (30% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
20×+-commutative
20×*-commutative
10×sub-neg
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056345
190345
294345
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 rand (sqrt.f64 (*.f64 1/9 a))) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
(if (<=.f64 rand -105999999999999999068044839071474095107085659702042169429522714198016) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) (if (<=.f64 rand 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))
(if (<=.f64 rand -1280000000000000027290136332101627996545610075222995131871147327488) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -95000000000000002756190624563619161970461914128598179771527987200) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) (if (<=.f64 rand 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344) (-.f64 a 1/3) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(if (<=.f64 rand -26999999999999999084919643177747738984375433153626373513855820103680) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a
-1/3
Outputs
(-.f64 (+.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a)))) a) 1/3)
(+.f64 (+.f64 a (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 1/9 a))))) -1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) -1/3)
(-.f64 (+.f64 (*.f64 rand (sqrt.f64 (*.f64 1/9 a))) a) 1/3)
(+.f64 (+.f64 a (*.f64 rand (sqrt.f64 (*.f64 1/9 a)))) -1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
(+.f64 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 a)))) -1/3)
(if (<=.f64 rand -105999999999999999068044839071474095107085659702042169429522714198016) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) (if (<=.f64 rand 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))
(if (or (<=.f64 rand -105999999999999999068044839071474095107085659702042169429522714198016) (not (<=.f64 rand 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) (+.f64 a -1/3))
(if (<=.f64 rand -1280000000000000027290136332101627996545610075222995131871147327488) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (or (<=.f64 rand -1280000000000000027290136332101627996545610075222995131871147327488) (not (<=.f64 rand 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344))) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(if (<=.f64 rand -95000000000000002756190624563619161970461914128598179771527987200) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) (if (<=.f64 rand 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344) (-.f64 a 1/3) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(if (or (<=.f64 rand -95000000000000002756190624563619161970461914128598179771527987200) (not (<=.f64 rand 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344))) (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)) (+.f64 a -1/3))
(if (<=.f64 rand -26999999999999999084919643177747738984375433153626373513855820103680) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))
(if (or (<=.f64 rand -26999999999999999084919643177747738984375433153626373513855820103680) (not (<=.f64 rand 249999999999999994427492432851032417514496074398730394348020830665622822722459971519466639710376907921189380517737837625344))) (*.f64 1/3 (*.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))
(-.f64 a 1/3)
(+.f64 a -1/3)
a
-1/3
Compiler

Compiled 147 to 113 computations (23.1% saved)

soundness729.0ms (6.6%)

Algorithm
egg-herbie
Rules
2016×fma-def
1686×associate-/l*
1040×associate-+l+
1004×associate-/r*
992×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01747
13441
28737
323137
450537
593137
6206137
7326037
8524837
9647637
10656737
11683737
12684537
13739837
14739837
02723482
16543270
221223224
379213224
045611039
1113410713
2424110709
Stop Event
node limit
node limit
saturated
Compiler

Compiled 348 to 285 computations (18.1% saved)

end105.0ms (1%)

Compiler

Compiled 127 to 90 computations (29.1% saved)

Profiling

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