Details

Time bar (total: 9.9s)

analyze94.0ms (1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%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 (17.2%)

Results
1.4s8256×body256valid
149.0ms591×body256invalid
115.0ms638×body256infinite
Bogosity

preprocess89.0ms (0.9%)

Algorithm
2×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
1×saturated
1×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)

simplify168.0ms (1.7%)

Algorithm
1×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
1×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
▶0.2b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
▶0.2b
(*.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)

localize28.0ms (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 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)
✓0.3b
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
✓1.1b
(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
Compiler

Compiled 67 to 54 computations (19.4% saved)

series14.0ms (0.1%)

Counts
4 → 42
Calls

18 calls:

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

rewrite123.0ms (1.2%)

Algorithm
1×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
1×node limit
Counts
4 → 317
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)
(*.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)))))))

simplify144.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1032×associate-/l/
852×associate-/l*
616×associate-*r*
580×*-commutative
516×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082017039
1205416011
Stop Event
1×node limit
Counts
359 → 510
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 (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 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 (+.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))))))
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(/.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))))
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(/.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)))))
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(/.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)))))
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(/.f64 (/.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
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(/.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))))))
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(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 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) 1)
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(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1)
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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))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(*.f64 -1 (/.f64 -1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1/3)
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(pow.f64 (+.f64 (*.f64 9 a) -3) -1/2)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3) -1)
(pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 3) 1/3)
(sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(+.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))
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(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 3))
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(/.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)))
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(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 3))
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(/.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)))
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(/.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))))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
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(exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))) 1)
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(/.f64 (+.f64 a -1/3) (/.f64 1 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (*.f64 (+.f64 a 1/3) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))))
(/.f64 (fma.f64 a a -1/9) (/.f64 (*.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 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))))
(/.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 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (/.f64 (*.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (+.f64 a 1/3)) (fma.f64 a a -1/9)))
(/.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (/.f64 (*.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)))) (+.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 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))
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(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 1 (-.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))))
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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))))
(/.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 (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 -1/6 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -3) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (*.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)))))
(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 -1/6 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -3) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (*.f64 1/3 (sqrt.f64 -3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(*.f64 1/3 (*.f64 (sqrt.f64 -3) rand))
(*.f64 (sqrt.f64 -3) (*.f64 1/3 rand))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (*.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (/.f64 -3/2 (/.f64 (sqrt.f64 -3) (*.f64 a rand))))
(+.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 (sqrt.f64 -3) rand) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.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 (sqrt.f64 -3) rand) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (/.f64 (*.f64 -1/6 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (/.f64 (sqrt.f64 -3) rand) (*.f64 a a)))))
(+.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 (sqrt.f64 -3) rand) (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 a (/.f64 (sqrt.f64 -3) rand)) (*.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 (sqrt.f64 -3) rand) (fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (/.f64 (sqrt.f64 -3) rand) (pow.f64 a 3))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (/.f64 (*.f64 -1/6 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (/.f64 (sqrt.f64 -3) rand) (*.f64 a a))))))
(*.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 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(*.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1))
(+.f64 -1/3 (*.f64 (*.f64 (sqrt.f64 -3) rand) -1/9))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (+.f64 1 (/.f64 (*.f64 1/2 rand) (sqrt.f64 -3)))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1)))
(fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 (sqrt.f64 -3) rand) -1/9)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (+.f64 1 (/.f64 (*.f64 1/2 rand) (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 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 (sqrt.f64 -3) rand) (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 -3/2 (/.f64 (sqrt.f64 -3) rand))) (+.f64 -1/3 (*.f64 (*.f64 (sqrt.f64 -3) rand) -1/9))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (+.f64 1 (/.f64 (*.f64 1/2 rand) (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 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 1/18 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81)) (/.f64 (sqrt.f64 -3) rand))) (fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (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 -3/2 (/.f64 (sqrt.f64 -3) rand))) (+.f64 -1/3 (*.f64 (*.f64 (sqrt.f64 -3) rand) -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))))
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(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
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(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
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(/.f64 (/.f64 rand 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 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 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 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 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 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 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 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 (*.f64 -1 rand) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 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 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))
(/.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 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 (*.f64 -1 rand) -1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))
(/.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 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 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 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))
(/.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 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))
(/.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 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 (/.f64 rand 1) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (/.f64 (/.f64 rand 1) 3) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))
(/.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 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 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 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 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)))
(/.f64 (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 1/4)) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)) (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -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 rand (pow.f64 (fma.f64 9 a -3) 1/4)) (*.f64 (sqrt.f64 3) (sqrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 rand (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 3)) (pow.f64 (fma.f64 a 9 -3) 1/4)))
(/.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 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))) (pow.f64 (fma.f64 9 a -3) 1/4))) (sqrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))))) (*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -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 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) 1) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.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 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 3))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (*.f64 (cbrt.f64 3) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 rand (*.f64 (cbrt.f64 3) (*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(/.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 rand (cbrt.f64 (fma.f64 9 a -3))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (cbrt.f64 (fma.f64 9 a -3)))))
(/.f64 rand (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))) (cbrt.f64 (fma.f64 a 9 -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 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.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 rand (cbrt.f64 (fma.f64 9 a -3))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 1/4))))
(/.f64 (/.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 (neg.f64 rand) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))
(/.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 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))) -3)
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))
(/.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 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 (neg.f64 rand) -1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))
(/.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 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))
(/.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 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))
(/.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 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))) rand)
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (/.f64 (neg.f64 rand) (neg.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))))
(pow.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))))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) 2)
(+.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))))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) 3)
(+.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))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3) 1/3)
(+.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))))
(sqrt.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)))
(sqrt.f64 (*.f64 rand (*.f64 rand (/.f64 1/9 (+.f64 -1/3 a)))))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(+.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))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(+.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))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))
(+.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))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(+.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))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(+.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))))
(exp.f64 (*.f64 (log.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))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(+.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 a (+.f64 -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))
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(fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
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(/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
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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))
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(/.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))))
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(/.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))
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(/.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)))
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(/.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))))
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(/.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)))))
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(/.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)))))
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(/.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))
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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 (*.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)))))
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(/.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)))))
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(/.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 -1/3 a) (/.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 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3))))
(/.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 rand (/.f64 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 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)))) (*.f64 (+.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 (*.f64 rand (*.f64 rand (/.f64 1/9 (+.f64 -1/3 a)))))) (*.f64 (+.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 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 (fma.f64 a a -1/9) (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (+.f64 a 1/3)) (/.f64 (fma.f64 a a -1/9) (+.f64 1 (*.f64 rand (-.f64 (*.f64 rand (/.f64 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 (-.f64 1 (*.f64 rand (*.f64 rand (/.f64 1/9 (+.f64 -1/3 a))))) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (-.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 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (/.f64 (+.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 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (+.f64 1 (*.f64 rand (-.f64 (*.f64 rand (/.f64 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 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)))) (*.f64 (+.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 (*.f64 rand (*.f64 rand (/.f64 1/9 (+.f64 -1/3 a)))))) (*.f64 (+.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 (-.f64 1 (*.f64 rand (*.f64 rand (/.f64 1/9 (+.f64 -1/3 a))))) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (-.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 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 (fma.f64 a a -1/9) (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (+.f64 a 1/3)) (/.f64 (fma.f64 a a -1/9) (+.f64 1 (*.f64 rand (-.f64 (*.f64 rand (/.f64 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 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (/.f64 (+.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 1 (pow.f64 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 -1/3 a)))) 3)) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 -1/3 a)))) (+.f64 1 (*.f64 rand (-.f64 (*.f64 rand (/.f64 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))))))

localize51.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓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)))
✓1.1b
(sqrt.f64 (+.f64 (*.f64 9 a) -3))
Compiler

Compiled 57 to 44 computations (22.8% saved)

series10.0ms (0.1%)

Counts
3 → 38
Calls

15 calls:

TimeVariablePointExpression
2.0ms
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
@-inf
(sqrt.f64 (+.f64 (*.f64 9 a) -3))

rewrite117.0ms (1.2%)

Algorithm
1×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
01669
135367
2464167
Stop Event
1×node limit
Counts
3 → 188
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)))))
Outputs
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-3)) (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))))

simplify227.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1004×associate-/r/
980×associate-+r+
864×associate-+l+
846×+-commutative
462×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054911362
1141511164
2540211160
Stop Event
1×node limit
Counts
226 → 297
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)
(-.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)))
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(/.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))))
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 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 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 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 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 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 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 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 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 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 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 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 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 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 -1/2 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (*.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))))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a a) rand))) (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 -1/2 (/.f64 (sqrt.f64 -1/3) (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 a (*.f64 a rand)))))))
(fma.f64 -1/2 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 a (*.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 (*.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 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a a) rand))) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 3) 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 a (/.f64 (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 (*.f64 -1/2 (*.f64 (pow.f64 a 3) rand)) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)) (sqrt.f64 -1/3)))))
(fma.f64 -1/2 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (fma.f64 -1/2 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (*.f64 a a)) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (*.f64 (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (*.f64 (pow.f64 a 3) rand))))))
(*.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 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (*.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 1/2 (/.f64 (+.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 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand) (*.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)))) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(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 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (*.f64 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))) (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (*.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 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -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 9 a -3))) (*.f64 rand (+.f64 a -1/3)))
(*.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 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -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 9 a -3))) (*.f64 rand (+.f64 a -1/3)))
(*.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 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3)))) 1)
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(*.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(*.f64 1 (sqrt.f64 (fma.f64 9 a -3)))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (pow.f64 (fma.f64 9 a -3) 1/4))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (fma.f64 9 a -3)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (fma.f64 9 a -3)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.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 9 a -3)))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -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 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(/.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 -27 (*.f64 (pow.f64 a 3) 729))) (sqrt.f64 (+.f64 9 (-.f64 (*.f64 a (*.f64 a 81)) (*.f64 a -27)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (sqrt.f64 (+.f64 9 (*.f64 a (-.f64 (*.f64 a 81) -27)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9)) (sqrt.f64 (fma.f64 9 a 3)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) 81 -9)) (sqrt.f64 (fma.f64 9 a 3)))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a 81) -9)) (sqrt.f64 (fma.f64 a 9 3)))
(pow.f64 (fma.f64 9 a -3) 1/2)
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) 2)
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) 3)
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 9 a -3)))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3))))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1/2))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))) 1))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3))))
(sqrt.f64 (fma.f64 9 a -3))
(sqrt.f64 (fma.f64 a 9 -3))
(+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 0)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(+.f64 1 (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(-.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 1)
(+.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1)
(+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 0)
(+.f64 0 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -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 (-.f64 (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (/.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) 1)
(+.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 rand (pow.f64 (fma.f64 a 9 -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 rand (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)))
(*.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (neg.f64 rand) (/.f64 -1 (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) rand) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 -1 (sqrt.f64 (fma.f64 9 a -3))) (neg.f64 rand))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 rand))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(*.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 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) rand) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
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(/.f64 (+.f64 a -1/3) (/.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (-.f64 1 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)))))
(/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 a -1/3) (/.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (-.f64 1 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)))))
(/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1)) (+.f64 a -1/3))
(*.f64 (/.f64 (+.f64 a -1/3) (+.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand))) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)))
(/.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 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1)) (+.f64 a -1/3))
(*.f64 (/.f64 (+.f64 a -1/3) (+.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand))) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)))
(/.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 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1)) (+.f64 a -1/3))
(*.f64 (/.f64 (+.f64 a -1/3) (+.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand))) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)))
(/.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 1 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a 1/3))) (fma.f64 a a -1/9))
(*.f64 (fma.f64 a a -1/9) (/.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a 1/3))))
(/.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 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1)))
(*.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (*.f64 (+.f64 a 1/3) (+.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)))))
(/.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 1 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (+.f64 (pow.f64 a 3) -1/27))
(*.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) (+.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand))))
(/.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 1 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a 1/3))) (fma.f64 a a -1/9))
(*.f64 (fma.f64 a a -1/9) (/.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 1 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (+.f64 (pow.f64 a 3) -1/27))
(*.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1)))
(*.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (*.f64 (+.f64 a 1/3) (+.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)))))
(/.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))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (/.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) (+.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 1)
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 2)
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 3)
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 a -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)
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 a -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))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 a -1/3)) 2))
(fabs.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 a -1/3)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (+.f64 a -1/3)))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -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)))))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 a -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)))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 a -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)))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 a -1/3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (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 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 a -1/3))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (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 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 a -1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 1))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 a -1/3))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (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 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 a -1/3))
(fma.f64 (+.f64 a -1/3) 1 (/.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 a -1/3) (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(fma.f64 1 (+.f64 a -1/3) (/.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 a -1/3) (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(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))))
(+.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))))
(+.f64 (+.f64 a -1/3) (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(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 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))))
(+.f64 (+.f64 a -1/3) (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))

eval689.0ms (7%)

Compiler

Compiled 20745 to 16393 computations (21% saved)

prune273.0ms (2.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New7998807
Fresh000
Picked011
Done101
Total8009809
Error
0b
Counts
809 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (+.f64 a -1/3) (/.f64 1 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))
▶0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶21.3b
(-.f64 a 1/3)
0.2b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
✓0.2b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
▶48.1b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
▶42.0b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
▶41.9b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
21.7b
a
Compiler

Compiled 195 to 157 computations (19.5% saved)

localize57.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.1%)

Counts
4 → 27
Calls

21 calls:

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

rewrite97.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

simplify127.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1024×associate-/r/
860×associate-/l/
654×+-commutative
634×associate-+r+
600×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045710184
111729496
250759392
Stop Event
1×node limit
Counts
182 → 281
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 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
a
a
a
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 rand 1/3)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 1/3 a)))
(pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) 1/3)
(sqrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 rand (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) rand) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) rand) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (+.f64 1/3 a)))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/3)
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(*.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 1 (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) 1) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 1/3 a)))
(pow.f64 (+.f64 a -1/3) 1/2)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 a -1/3)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (-.f64 1 a))
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(-.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) 1/9)) (/.f64 a (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) a)))
(-.f64 (+.f64 a (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (exp.f64 (log1p.f64 a))) 1)
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)
(*.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))
(*.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(*.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(*.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(*.f64 (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))) (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))) (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a))) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))
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(exp.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1/3 a)
(fma.f64 1 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand a)
Outputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (/.f64 (*.f64 1/6 (*.f64 rand a)) (sqrt.f64 -1/3)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 (*.f64 1/6 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 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (/.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 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (*.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 a 1/2) (/.f64 (sqrt.f64 -1/3) rand)))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (*.f64 1/2 (/.f64 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 -1/8 (*.f64 rand (*.f64 a a))) (pow.f64 (sqrt.f64 -1/3) 3))))
(fma.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) rand)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(fma.f64 1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (/.f64 (*.f64 -1/8 (*.f64 rand (*.f64 a a))) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) 1/16 (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) 1/16 (*.f64 (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) 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))))
(+.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 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3)))))
(fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 a (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3))) a (/.f64 (*.f64 1/48 (*.f64 rand (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1/3) 5)))))
(+.f64 (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 1/48 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (fma.f64 1/48 (*.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3)))))
a
a
a
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 1/3 (*.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 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (*.f64 1/3 rand))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 1/3 rand)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (*.f64 1/3 rand))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) rand) 1/3)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 rand 1/3)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 1/3 (*.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 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (*.f64 1/3 rand))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 1/3 rand)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (*.f64 1/3 rand))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) rand) 1/3)
(pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(pow.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27))
(sqrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))
(sqrt.f64 (*.f64 rand (*.f64 rand (*.f64 (+.f64 -1/3 a) 1/9))))
(sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) rand)
(/.f64 (*.f64 rand (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) rand)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) rand) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) rand)
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) rand) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) rand)
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
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(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (cbrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 1/3 a)))
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(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
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(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))
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(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
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(pow.f64 (+.f64 a -1/3) 1/2)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (+.f64 -1/3 a))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
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(sqrt.f64 (+.f64 -1/3 a))
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(sqrt.f64 (+.f64 -1/3 a))
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(sqrt.f64 (+.f64 -1/3 a))
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(sqrt.f64 (+.f64 -1/3 a))
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(sqrt.f64 (+.f64 -1/3 a))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (-.f64 1 a))
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(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
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(-.f64 (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) 1/9)) (/.f64 a (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) a)))
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(-.f64 (+.f64 a (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) 1)
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(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (exp.f64 (log1p.f64 a))) 1)
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) 3) (pow.f64 (*.f64 a a) 3)) (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))) (+.f64 (*.f64 1/81 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 rand 3) rand))) (*.f64 (*.f64 a a) (+.f64 (*.f64 a a) (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9))))))
(/.f64 (-.f64 (pow.f64 (*.f64 rand (*.f64 rand (*.f64 (+.f64 -1/3 a) 1/9))) 3) (pow.f64 a 6)) (*.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a)) (fma.f64 1/81 (*.f64 (pow.f64 (+.f64 -1/3 a) 2) (pow.f64 rand 4)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 rand (*.f64 rand (*.f64 (+.f64 -1/3 a) 1/9))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 rand (*.f64 rand (+.f64 -1/3 a))) 3) 1/729) (pow.f64 a 6)) (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) a)) (fma.f64 a (*.f64 a (fma.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))) (*.f64 a a))) (*.f64 1/81 (*.f64 (pow.f64 (+.f64 -1/3 a) 2) (pow.f64 rand 4)))))
(/.f64 (*.f64 (-.f64 (*.f64 1/729 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))) (*.f64 (pow.f64 a 3) (pow.f64 a 3))) (/.f64 1 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))) (-.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)))
(/.f64 (-.f64 (*.f64 1/729 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6)) (pow.f64 a 6)) (*.f64 (fma.f64 (*.f64 rand rand) (*.f64 (+.f64 -1/3 a) 1/9) (*.f64 a (+.f64 a (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3))))) (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (neg.f64 (pow.f64 a 3)))))
(/.f64 (-.f64 (*.f64 1/729 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6)) (pow.f64 a 6)) (*.f64 (fma.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a) (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))) (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (neg.f64 (pow.f64 a 3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) 3) (pow.f64 (pow.f64 a 3) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))) (+.f64 (*.f64 1/729 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))) (*.f64 (pow.f64 a 3) (-.f64 (pow.f64 a 3) (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 3) 1/19683) (pow.f64 (pow.f64 a 3) 3)) (fma.f64 (*.f64 rand rand) (*.f64 (+.f64 -1/3 a) 1/9) (*.f64 a (+.f64 a (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3)))))) (fma.f64 1/729 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6) (*.f64 (pow.f64 a 3) (-.f64 (pow.f64 a 3) (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 3) 1/19683 (pow.f64 (pow.f64 a 3) 3)) (fma.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a) (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))) (fma.f64 (pow.f64 a 3) (+.f64 (pow.f64 a 3) (*.f64 -1/27 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))) (*.f64 1/729 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) 1) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))
(-.f64 (*.f64 (/.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) 1/9) (*.f64 (/.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) a))
(/.f64 (fma.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))) (*.f64 a (neg.f64 a))) (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) a))
(/.f64 (fma.f64 a a (*.f64 rand (*.f64 (*.f64 -1/9 (+.f64 -1/3 a)) rand))) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(-.f64 (*.f64 (/.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) 1/9) (*.f64 (/.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) a))
(/.f64 (fma.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))) (*.f64 a (neg.f64 a))) (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) a))
(/.f64 (fma.f64 a a (*.f64 rand (*.f64 (*.f64 -1/9 (+.f64 -1/3 a)) rand))) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (*.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))
(-.f64 (*.f64 (/.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) 1/9) (*.f64 (/.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) a))
(/.f64 (fma.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))) (*.f64 a (neg.f64 a))) (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) a))
(/.f64 (fma.f64 a a (*.f64 rand (*.f64 (*.f64 -1/9 (+.f64 -1/3 a)) rand))) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (+.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (-.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 a)))
(/.f64 (-.f64 (*.f64 rand (*.f64 rand (*.f64 (+.f64 -1/3 a) 1/9))) (*.f64 a a)) (*.f64 (-.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (sqrt.f64 a)) (+.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (sqrt.f64 a))))
(/.f64 (fma.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))) (*.f64 a (neg.f64 a))) (*.f64 (+.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))) (sqrt.f64 a)) (-.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))) (sqrt.f64 a))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) 1) (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 (*.f64 rand rand) (*.f64 (+.f64 -1/3 a) 1/9) (*.f64 a (+.f64 a (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a) (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (sqrt.f64 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 (*.f64 rand rand) (*.f64 (+.f64 -1/3 a) 1/9) (*.f64 a (+.f64 a (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a) (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 (*.f64 rand rand) (*.f64 (+.f64 -1/3 a) 1/9) (*.f64 a (+.f64 a (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a) (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))))
(pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 3) 1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a a)) (neg.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))))
(-.f64 (*.f64 (/.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) 1/9) (*.f64 (/.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (neg.f64 a))) a))
(/.f64 (fma.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))) (*.f64 a (neg.f64 a))) (-.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) a))
(/.f64 (fma.f64 a a (*.f64 rand (*.f64 (*.f64 -1/9 (+.f64 -1/3 a)) rand))) (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/27) (pow.f64 a 3)) (neg.f64 (+.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)) (*.f64 a (+.f64 a (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) -1/3)))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 (*.f64 rand rand) (*.f64 (+.f64 -1/3 a) 1/9) (*.f64 a (+.f64 a (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/27 (pow.f64 a 3)) (fma.f64 a (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3) a) (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) 2))
(fabs.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(log.f64 (exp.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(cbrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 3))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(expm1.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(exp.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 1))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(log1p.f64 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1/3 a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 1 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)
(fma.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (*.f64 (+.f64 -1/3 a) 1/9)))) (cbrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) a)
(fma.f64 (cbrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a))))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))) a)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand a)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a)

localize4.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 26 to 18 computations (30.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series3.0ms (0%)

Counts
3 → 20
Calls

12 calls:

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

rewrite79.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify119.0ms (1.2%)

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

Useful iterations: 2 (0.0ms)

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

localize60.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 a 1/3) rand)
✓0.2b
(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
✓1.1b
(/.f64 1 (-.f64 (*.f64 9 a) 3))
✓9.1b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
Compiler

Compiled 53 to 41 computations (22.6% saved)

series11.0ms (0.1%)

Counts
4 → 32
Calls

18 calls:

TimeVariablePointExpression
5.0ms
a
@inf
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
1.0ms
a
@-inf
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
0.0ms
rand
@0
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
0.0ms
a
@-inf
(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
0.0ms
a
@0
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))

rewrite91.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1752×associate-*r/
1358×associate-*l/
456×associate-/r*
370×associate-/l*
336×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01684
134474
2416274
Stop Event
1×node limit
Counts
4 → 209
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(/.f64 1 (-.f64 (*.f64 9 a) 3))
(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
(*.f64 (-.f64 a 1/3) rand)
Outputs
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#<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 rand) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (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 a -1/3) (sqrt.f64 rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 -1)) (sqrt.f64 (-.f64 3 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (fma.f64 a a -1/9))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.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 (fma.f64 a 9 -3) -1/2) (*.f64 (fma.f64 a a -1/9) rand)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1) (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.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 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.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 rand (sqrt.f64 (fma.f64 a 9 -3))) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (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 /.f64 (*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand (fma.f64 a a -1/9)) (pow.f64 (fma.f64 a 9 -3) -1/2)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (pow.f64 (fma.f64 a 9 -3) -1/2)) (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) rand) (pow.f64 (fma.f64 a 9 -3) -1/2)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (pow.f64 (fma.f64 a 9 -3) -1/2)) (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) rand)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (-.f64 3 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (-.f64 3 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) 1) (+.f64 a 1/3))))) 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(sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (*.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (*.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) rand)))))))

simplify128.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1204×associate-/l*
670×associate-*r*
624×associate-*l*
520×+-commutative
488×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05528525
113738215
261388195
Stop Event
1×node limit
Counts
241 → 335
Calls
Call 1
Inputs
(*.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))))))
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (*.f64 -1 a)) 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (+.f64 (*.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(sqrt.f64 -1/3)
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (+.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 (sqrt.f64 -1/3) (+.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3))))))
(*.f64 -1/3 rand)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 a rand)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 a rand)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))) 1)
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (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 (sqrt.f64 rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (sqrt.f64 rand) (+.f64 a -1/3))))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand))))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 rand) (+.f64 a -1/3))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 (+.f64 a -1/3)) rand)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))))
(/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (/.f64 rand (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 a -1/3) (sqrt.f64 rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 rand)))
(/.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 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a 1/3))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 -1)) (sqrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (*.f64 1 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a 1/3))
(/.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 (pow.f64 a 3) -1/27))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (fma.f64 a a -1/9) rand)) (+.f64 a 1/3))
(/.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 (pow.f64 a 3) -1/27)) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (neg.f64 (+.f64 (pow.f64 a 3) -1/27))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1) (sqrt.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 (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 (pow.f64 a 3) -1/27)) (/.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 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 (pow.f64 a 3) -1/27)) (pow.f64 (fma.f64 a 9 -3) -1/2)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) rand) (pow.f64 (fma.f64 a 9 -3) -1/2)) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (pow.f64 (fma.f64 a 9 -3) -1/2)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 -1 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) 1) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 1 (/.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 -1 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (sqrt.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 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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)))))
(pow.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) 3) 1/3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 a 9 -3)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3/2) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))
(exp.f64 (log.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 a 9 -3)))
(*.f64 (/.f64 1 (fma.f64 a 9 -3)) 1)
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))))
(*.f64 -1 (/.f64 -1 (fma.f64 a 9 -3)))
(*.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 a a) 81) -9)) (fma.f64 a 9 3))
(*.f64 (/.f64 1 (+.f64 (*.f64 729 (pow.f64 a 3)) -27)) (+.f64 9 (+.f64 (*.f64 a 27) (*.f64 (*.f64 a a) 81))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1))
(pow.f64 (fma.f64 a 9 -3) -1)
(pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 a 9 -3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 a 9 -3))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 a 9 -3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 1)
(*.f64 1 (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (pow.f64 1 1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 1/2))
(/.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1))
(/.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (cbrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (*.f64 1 (sqrt.f64 -1)) (sqrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (cbrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) -1) (cbrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) 1) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1))
(/.f64 (*.f64 (pow.f64 1 1/2) -1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 -1)) (sqrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (*.f64 (sqrt.f64 -1) 1) (sqrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) (cbrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (/.f64 1 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 2)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1)
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3/2) 1/3)
(fabs.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))
(log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(+.f64 (*.f64 rand a) (*.f64 rand -1/3))
(+.f64 (*.f64 rand -1/3) (*.f64 rand a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 -1/3 rand) (*.f64 a rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand))) 1)
(/.f64 rand (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) rand))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) rand))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 rand (+.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) rand) (+.f64 a 1/3))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 rand (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 rand (neg.f64 (+.f64 (pow.f64 a 3) -1/27))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 1 (*.f64 rand (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (*.f64 1 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 1 (*.f64 (fma.f64 a a -1/9) rand)) (+.f64 a 1/3))
(/.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 rand (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 rand (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 rand (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 (neg.f64 (fma.f64 a a -1/9)) rand) (neg.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) rand) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 rand (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) rand) 1) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 rand (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 rand (+.f64 (pow.f64 a 3) -1/27)) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (*.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) rand) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (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 (pow.f64 a 3) -1/27) rand) (*.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)))))
(pow.f64 (*.f64 (+.f64 a -1/3) rand) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2))
(log.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) rand))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand)))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) rand)))
Outputs
(*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 (*.f64 -1/3 rand) (sqrt.f64 -1/3))
(*.f64 (sqrt.f64 -1/3) (*.f64 -1/3 rand))
(+.f64 (*.f64 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 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (sqrt.f64 -1/3) (*.f64 -1/3 rand)))
(+.f64 (/.f64 (*.f64 (*.f64 rand 1/6) a) (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (*.f64 rand (+.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 (*.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 (/.f64 rand (sqrt.f64 -1/3)) -1/2)) (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 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 (*.f64 rand -1/2) (sqrt.f64 -1/3))) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (sqrt.f64 -1/3) (*.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 (*.f64 rand -1/2) (sqrt.f64 -1/3))) (+.f64 (/.f64 (*.f64 (*.f64 rand 1/6) a) (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (*.f64 rand (+.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 (*.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 rand (/.f64 (sqrt.f64 -1/3) (+.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)))))) (*.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 (/.f64 rand (sqrt.f64 -1/3)) -1/2)) (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 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)) (*.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 (*.f64 rand -1/2) (sqrt.f64 -1/3))) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (sqrt.f64 -1/3) (*.f64 -1/3 rand)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)) (*.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 (*.f64 rand -1/2) (sqrt.f64 -1/3))) (+.f64 (/.f64 (*.f64 (*.f64 rand 1/6) a) (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (*.f64 rand (+.f64 -1/3 a))))))
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(fma.f64 -1 a -1/3)
(-.f64 -1/3 a)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (*.f64 -1 a)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (neg.f64 a)) -1/3)
(fma.f64 (*.f64 a a) -3 (-.f64 -1/3 a))
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (+.f64 (*.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (fma.f64 -9 (pow.f64 a 3) (neg.f64 a))) -1/3)
(+.f64 (fma.f64 (*.f64 a a) -3 (*.f64 (pow.f64 a 3) -9)) (-.f64 -1/3 a))
(+.f64 (-.f64 -1/3 a) (*.f64 (*.f64 a a) (+.f64 -3 (*.f64 a -9))))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/9 a))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4)))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/243 (pow.f64 a 4)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3)))))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/9 a))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4)))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/243 (pow.f64 a 4)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3)))))
(sqrt.f64 -1/3)
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 a) (sqrt.f64 -1/3)))
(fma.f64 -1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3)))))
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 a a))))))
(fma.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (+.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 (sqrt.f64 -1/3) (+.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) (+.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)))))) (+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 a a)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)) (fma.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (sqrt.f64 -1/3)))
(*.f64 -1/3 rand)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 -1/3 a))
(*.f64 a rand)
(*.f64 rand a)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 -1/3 a))
(*.f64 a rand)
(*.f64 rand a)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 -1/3 a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))) 1)
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (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 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (sqrt.f64 rand) (+.f64 a -1/3))))
(*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))) (*.f64 (+.f64 -1/3 a) (sqrt.f64 rand)))
(*.f64 (sqrt.f64 rand) (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 rand))))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (fma.f64 a 9 -3))) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand))))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 rand) (+.f64 a -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (fma.f64 a 9 -3))) (*.f64 (+.f64 -1/3 a) (cbrt.f64 rand)))
(*.f64 (*.f64 (+.f64 -1/3 a) (cbrt.f64 rand)) (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (sqrt.f64 (fma.f64 a 9 -3))) (*.f64 rand (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (+.f64 -1/3 a)))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))
(/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (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 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 rand (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 (pow.f64 a 3) -1/27) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) (/.f64 rand (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 (fma.f64 a 1/3 1/9))))
(/.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 (+.f64 -1/3 a)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (+.f64 -1/3 a) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 rand)))
(*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))) (*.f64 (+.f64 -1/3 a) (sqrt.f64 rand)))
(*.f64 (sqrt.f64 rand) (/.f64 (+.f64 -1/3 a) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 rand))))
(/.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 rand)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (fma.f64 a 9 -3))) (*.f64 (+.f64 -1/3 a) (cbrt.f64 rand)))
(*.f64 (*.f64 (+.f64 -1/3 a) (cbrt.f64 rand)) (/.f64 (pow.f64 (cbrt.f64 rand) 2) (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 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (fma.f64 a 9 -3))) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand (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 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (sqrt.f64 (fma.f64 a 9 -3))) (*.f64 rand (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (+.f64 -1/3 a)))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 rand (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 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) (/.f64 rand (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 (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 (*.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 a 1/3)))) (/.f64 rand (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 (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 -1)) (sqrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 (sqrt.f64 (-.f64 3 (*.f64 a 9))) (sqrt.f64 -1)))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 3 (*.f64 a -9)))) (*.f64 rand (+.f64 -1/3 a)))
(/.f64 (*.f64 1 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 rand (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 1 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) (/.f64 rand (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 (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (/.f64 (+.f64 a 1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (/.f64 (/.f64 (+.f64 a 1/3) rand) (fma.f64 a a -1/9)))
(/.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 (pow.f64 a 3) -1/27))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) (pow.f64 (fma.f64 a 9 -3) -1/2))
(/.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (fma.f64 a a -1/9) rand)) (+.f64 a 1/3))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (/.f64 (+.f64 a 1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (/.f64 (/.f64 (+.f64 a 1/3) rand) (fma.f64 a a -1/9)))
(/.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) (pow.f64 (fma.f64 a 9 -3) -1/2))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 rand (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 (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 (pow.f64 a 3) -1/27)) (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 a 1/3)))) (/.f64 rand (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 (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 (pow.f64 a 3) -1/27)) (+.f64 (*.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 a 1/3)))) (/.f64 rand (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 (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (fma.f64 -1 a -1/3) (neg.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (-.f64 -1/3 a)) (neg.f64 (fma.f64 a a -1/9)))
(*.f64 (neg.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 -1/3 a))) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (neg.f64 (+.f64 (pow.f64 a 3) -1/27))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 a 3)) 1/27) (/.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 rand (sqrt.f64 (fma.f64 a 9 -3))) (neg.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))) (-.f64 1/27 (pow.f64 a 3)))
(*.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a)))) (-.f64 1/27 (pow.f64 a 3)))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (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 rand (+.f64 -1/3 a)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (+.f64 -1/3 a) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) rand)))
(/.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 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (fma.f64 -1 a -1/3) (neg.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (-.f64 -1/3 a)) (neg.f64 (fma.f64 a a -1/9)))
(*.f64 (neg.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 -1/3 a))) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 a 3)) 1/27) (/.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 rand (sqrt.f64 (fma.f64 a 9 -3))) (neg.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))) (-.f64 1/27 (pow.f64 a 3)))
(*.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a)))) (-.f64 1/27 (pow.f64 a 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 rand (fma.f64 a a -1/9)) (/.f64 (+.f64 a 1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (/.f64 (/.f64 (+.f64 a 1/3) rand) (fma.f64 a a -1/9)))
(/.f64 (*.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (pow.f64 (fma.f64 a 9 -3) -1/2)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) (pow.f64 (fma.f64 a 9 -3) -1/2))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) rand) (pow.f64 (fma.f64 a 9 -3) -1/2)) (+.f64 a 1/3))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (/.f64 (+.f64 a 1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(/.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (/.f64 (/.f64 (+.f64 a 1/3) rand) (fma.f64 a a -1/9)))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (pow.f64 (fma.f64 a 9 -3) -1/2)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9)))) (pow.f64 (fma.f64 a 9 -3) -1/2))
(/.f64 (*.f64 -1 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 (sqrt.f64 (-.f64 3 (*.f64 a 9))) (sqrt.f64 -1)))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 3 (*.f64 a -9)))) (*.f64 rand (+.f64 -1/3 a)))
(/.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 rand (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 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 a 1/3)))) (/.f64 rand (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 (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (fma.f64 a a -1/9)))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 1 (/.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 rand (+.f64 -1/3 a)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (+.f64 -1/3 a) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) rand)))
(/.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (/.f64 (neg.f64 (*.f64 rand (+.f64 -1/3 a))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (-.f64 3 (*.f64 a 9))))
(/.f64 (/.f64 (*.f64 rand (+.f64 (neg.f64 a) 1/3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (+.f64 3 (*.f64 a -9))))
(/.f64 (/.f64 (*.f64 rand (-.f64 1/3 a)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (+.f64 3 (*.f64 a -9))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 1) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 (+.f64 -1/3 a) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.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 rand (+.f64 -1/3 a)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))))
(*.f64 (/.f64 rand (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3)))) (/.f64 (+.f64 -1/3 a) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 rand (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 (fma.f64 a a -1/9) rand) (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(exp.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1/2))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 1))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(+.f64 (*.f64 rand a) (*.f64 rand -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 rand -1/3) (*.f64 rand a))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 -1/3 rand) (*.f64 a rand))
(*.f64 rand (+.f64 -1/3 a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand))) 1)
(*.f64 rand (+.f64 -1/3 a))
(/.f64 rand (/.f64 1 (+.f64 a -1/3)))
(*.f64 rand (+.f64 -1/3 a))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) rand))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(*.f64 rand (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (fma.f64 a a (+.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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(*.f64 rand (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (+.f64 (*.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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(*.f64 rand (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) 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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (+.f64 (*.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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 rand (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))
(/.f64 rand (/.f64 (fma.f64 -1 a -1/3) (neg.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 rand (-.f64 -1/3 a)) (neg.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 rand (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 (*.f64 rand (neg.f64 (+.f64 (pow.f64 a 3) -1/27))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 a 3)) 1/27) (/.f64 (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) rand))
(*.f64 (/.f64 rand (neg.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))) (-.f64 1/27 (pow.f64 a 3)))
(*.f64 (/.f64 rand (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a)))) (-.f64 1/27 (pow.f64 a 3)))
(/.f64 (*.f64 1 (*.f64 rand (fma.f64 a a -1/9))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(*.f64 rand (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 1 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27))) (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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 1 (*.f64 (fma.f64 a a -1/9) rand)) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(*.f64 rand (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 a 3) -1/27) 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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 a 1/3)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (fma.f64 a a -1/9)))))
(/.f64 (*.f64 (*.f64 rand (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 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 (*.f64 rand (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 rand (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (/.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (*.f64 rand (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (cbrt.f64 (+.f64 a 1/3))) (cbrt.f64 (fma.f64 a a -1/9)))
(/.f64 (*.f64 (*.f64 rand (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 rand (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (/.f64 (cbrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (*.f64 rand (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (cbrt.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) rand) (neg.f64 (+.f64 a 1/3)))
(/.f64 rand (/.f64 (fma.f64 -1 a -1/3) (neg.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 rand (-.f64 -1/3 a)) (neg.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 rand (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) rand) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 a 3)) 1/27) (/.f64 (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))) rand))
(*.f64 (/.f64 rand (neg.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))) (-.f64 1/27 (pow.f64 a 3)))
(*.f64 (/.f64 rand (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a)))) (-.f64 1/27 (pow.f64 a 3)))
(/.f64 (*.f64 (*.f64 rand (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(*.f64 rand (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) 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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) rand) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(*.f64 rand (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) 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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 a 1/3)) (*.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)) (*.f64 (sqrt.f64 (+.f64 a -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 a 1/3)))) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)))) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(*.f64 rand (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 rand (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)) rand)
(*.f64 rand (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 rand (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)) rand)
(*.f64 rand (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) 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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (*.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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(*.f64 rand (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(*.f64 rand (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (*.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)) rand)
(*.f64 rand (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) 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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (*.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 a 1/3)))) rand)
(*.f64 rand (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(pow.f64 (*.f64 (+.f64 a -1/3) rand) 1)
(*.f64 rand (+.f64 -1/3 a))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)
(*.f64 rand (+.f64 -1/3 a))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3)
(*.f64 rand (+.f64 -1/3 a))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) 1/3)
(*.f64 rand (+.f64 -1/3 a))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2))
(sqrt.f64 (pow.f64 (*.f64 rand (+.f64 -1/3 a)) 2))
(fabs.f64 (*.f64 rand (+.f64 -1/3 a)))
(log.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))
(*.f64 rand (+.f64 -1/3 a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) rand))))
(*.f64 rand (+.f64 -1/3 a))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3))
(*.f64 rand (+.f64 -1/3 a))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 rand 3)))
(*.f64 rand (+.f64 -1/3 a))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3)))
(*.f64 rand (+.f64 -1/3 a))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 rand (+.f64 -1/3 a))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 rand (+.f64 -1/3 a))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1))
(*.f64 rand (+.f64 -1/3 a))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 rand (+.f64 -1/3 a))

eval418.0ms (4.2%)

Compiler

Compiled 20338 to 15403 computations (24.3% saved)

prune183.0ms (1.8%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New9056911
Fresh123
Picked101
Done055
Total90713920
Error
0b
Counts
920 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓21.3b
(-.f64 a 1/3)
▶0.2b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
✓0.2b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
48.8b
(*.f64 (*.f64 (/.f64 rand (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
▶48.9b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
48.9b
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
✓42.0b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
▶42.0b
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
✓41.9b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶59.1b
(*.f64 1/3 (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))
▶59.1b
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
21.7b
a
Compiler

Compiled 254 to 198 computations (22% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 a -1/3))
✓0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
✓0.3b
(/.f64 rand (sqrt.f64 (+.f64 a -1/3)))
✓0.3b
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
Compiler

Compiled 52 to 39 computations (25% saved)

series5.0ms (0.1%)

Counts
4 → 54
Calls

21 calls:

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

rewrite104.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01492
131088
2421588
Stop Event
1×node limit
Counts
4 → 230
Calls
Call 1
Inputs
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
(/.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
(sqrt.f64 (+.f64 a -1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand 3) (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 3 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))))) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) 3) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (cbrt.f64 (+.f64 a -1/3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 rand))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(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 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (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 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))))) (#(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))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (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 rand (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 rand 1) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 rand 1) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)))) (#(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 neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 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 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))))) 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simplify156.0ms (1.6%)

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

Useful iterations: 1 (0.0ms)

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 27 to 20 computations (25.9% saved)

series3.0ms (0%)

Counts
2 → 20
Calls

9 calls:

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

rewrite61.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify62.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 1/9 (*.f64 rand rand))
✓8.2b
(*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))
✓25.7b
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
Compiler

Compiled 36 to 20 computations (44.4% saved)

series4.0ms (0%)

Counts
3 → 52
Calls

15 calls:

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

rewrite73.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1112×*-commutative
784×unswap-sqr
666×swap-sqr
570×associate-*r/
510×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01267
125361
2307161
Stop Event
1×node limit
Counts
3 → 105
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 1/9 (*.f64 rand rand))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 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 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3/2) (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand 1/3) (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 rand 1/3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) (*.f64 a (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a (*.f64 1/9 (*.f64 rand rand)))) (*.f64 1 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand)))) (*.f64 1 (*.f64 a (*.f64 1/9 (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) 1) (*.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) 1) (*.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/9 (*.f64 rand rand)) (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand rand) (*.f64 1/9 (fma.f64 a a -1/9))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand rand) (*.f64 1/9 (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (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 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (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 1/9 (*.f64 a a)) (*.f64 1/9 (*.f64 rand rand))) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (*.f64 1/9 (*.f64 rand rand))) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (*.f64 1/9 (*.f64 rand rand))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.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 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (*.f64 rand 1/3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (*.f64 rand 1/3))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (fma.f64 a a -1/9)) (*.f64 rand rand)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand rand)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.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 (*.f64 1/9 (*.f64 rand rand)) (+.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 (*.f64 1/9 (*.f64 rand rand)) (+.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 pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 rand 4) 1/81)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 rand 4) 1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 rand rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 rand 4) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 rand rand))))))))

simplify83.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1744×associate-*r/
1700×associate-/r/
1680×distribute-lft-in
798×associate-*r*
780×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02965239
18304695
244884695
Stop Event
1×node limit
Counts
157 → 178
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/27 (pow.f64 rand 2))
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1/2))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (pow.f64 1 1/2))
(*.f64 1 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(*.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))
(*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))
(*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2)))
(*.f64 (pow.f64 1 1/2) (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 2) 1/2))
(*.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1/2) rand)
(*.f64 (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) (sqrt.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3/2) (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/6))
(/.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a 1/3)))
(pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2)
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3)
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/3)
(fabs.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))
(exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))
(log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))
(+.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))))
(+.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) (*.f64 a (*.f64 1/9 (*.f64 rand rand))))
(+.f64 (*.f64 1 (*.f64 a (*.f64 1/9 (*.f64 rand rand)))) (*.f64 1 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand)))))
(+.f64 (*.f64 1 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand)))) (*.f64 1 (*.f64 a (*.f64 1/9 (*.f64 rand rand)))))
(+.f64 (*.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) 1) (*.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) 1))
(+.f64 (*.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) 1) (*.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) 1)
(/.f64 (*.f64 1/9 (*.f64 rand rand)) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (*.f64 1/9 (*.f64 rand rand))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (*.f64 1/9 (*.f64 rand rand))))
(/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 rand rand) (*.f64 1/9 (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 rand rand) (*.f64 1/9 (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))
(/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (*.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (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 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 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 rand rand)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 1/9 (*.f64 rand rand))) (-.f64 -1/3 a))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (*.f64 1/9 (*.f64 rand rand))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (*.f64 1/9 (*.f64 rand rand))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (*.f64 rand 1/3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (*.f64 rand 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 1/9 (fma.f64 a a -1/9)) (*.f64 rand rand)) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 1/9 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand rand)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (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 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.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 (*.f64 1/9 (*.f64 rand rand)) (+.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)))))
(pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1)
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 3)
(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 rand 4) 1/81)) 1/2)
(pow.f64 (pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 rand 4) 1/81)))
(log.f64 (exp.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))
(cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(exp.f64 (log.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand rand)))) 1)
(pow.f64 (*.f64 1/9 (*.f64 rand rand)) 1)
(pow.f64 (*.f64 rand 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand rand))) 3)
(pow.f64 (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 rand 4) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) (*.f64 rand rand)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (*.f64 rand rand)))))
(cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand rand))))
(exp.f64 (*.f64 2 (log.f64 (*.f64 rand 1/3))))
(log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 rand rand))))
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 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 rand (*.f64 (sqrt.f64 -1/3) 1/3)))
(fma.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (*.f64 rand (*.f64 (sqrt.f64 -1/3) 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 (*.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 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (fma.f64 1/48 (*.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) (*.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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.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 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 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 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 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 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 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 -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 rand -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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand -1/3))
(*.f64 -1/27 (pow.f64 rand 2))
(*.f64 -1/27 (*.f64 rand rand))
(*.f64 rand (*.f64 rand -1/27))
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 (*.f64 (*.f64 a 1/9) rand) rand)
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 (*.f64 (*.f64 a 1/9) rand) rand)
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
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(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
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(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
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(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
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(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))) 1)
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(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
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(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
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(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (pow.f64 1 1/2))
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(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
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(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
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(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))
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(*.f64 (cbrt.f64 (*.f64 (*.f64 1/9 (+.f64 -1/3 a)) (*.f64 rand rand))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))
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(*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
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(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
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(*.f64 (pow.f64 1 1/2) (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
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(*.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1/2) rand)
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
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(*.f64 (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))) (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
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(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3/2) (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3/2))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/6))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
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(/.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))))
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(/.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 1/3 rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 1/3 rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2)
(sqrt.f64 (*.f64 (*.f64 1/9 (+.f64 -1/3 a)) (*.f64 rand rand)))
(sqrt.f64 (*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27)))
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 1)
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(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 2)
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(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))) 3)
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(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 3) 1/3)
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(fabs.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))))
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(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
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(expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
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(exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))))
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(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
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(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
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(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
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(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(+.f64 (*.f64 1 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand)))) (*.f64 1 (*.f64 a (*.f64 1/9 (*.f64 rand rand)))))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
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(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
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(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
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(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(/.f64 (*.f64 1/9 (*.f64 rand rand)) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
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(*.f64 (/.f64 (*.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (*.f64 1/9 (*.f64 rand rand))))
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(/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) (+.f64 a 1/3))
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(*.f64 (/.f64 (*.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
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(*.f64 (/.f64 (*.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
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(/.f64 (*.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (/.f64 (*.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (*.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 1/9 (*.f64 rand rand)))
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(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (*.f64 1/9 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand rand))))
(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 1/9 (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (/.f64 (sqrt.f64 (+.f64 1/3 a)) 1/9) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand rand))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) 1/9)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand rand)))
(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 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 rand rand)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (/.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 (*.f64 rand (*.f64 rand 1/9)) (/.f64 (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))))
(*.f64 (*.f64 (/.f64 (*.f64 rand rand) (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) 1/9) (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (cbrt.f64 (fma.f64 a a -1/9))))
(/.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 rand (*.f64 rand 1/9))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (cbrt.f64 (+.f64 1/3 a)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))) (*.f64 (*.f64 rand (*.f64 rand 1/9)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 1/9 (*.f64 rand rand))) (-.f64 -1/3 a))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (/.f64 (*.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (*.f64 1/9 (*.f64 rand rand))) (neg.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (/.f64 (*.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (*.f64 1/9 (*.f64 rand rand))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (/.f64 (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 -1/9 (/.f64 (*.f64 rand (*.f64 rand (-.f64 1/27 (pow.f64 a 3)))) (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (/.f64 (*.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (*.f64 rand (*.f64 rand 1/9)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 1/9 (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 -1/3 a))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (*.f64 1/9 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand rand))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 1/9 (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (/.f64 (sqrt.f64 (+.f64 1/3 a)) 1/9) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand rand))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) 1/9)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand rand)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (*.f64 rand 1/3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) (*.f64 1/3 rand)))))
(*.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 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (*.f64 rand rand))))
(*.f64 (*.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 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (*.f64 rand 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) (*.f64 1/3 rand)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (*.f64 1/3 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (*.f64 rand rand))))
(*.f64 (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9))) (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(/.f64 (*.f64 (*.f64 1/9 (fma.f64 a a -1/9)) (*.f64 rand rand)) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (/.f64 (*.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (*.f64 (*.f64 1/9 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand rand)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (*.f64 rand (*.f64 rand 1/9)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (/.f64 (*.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (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 1/3 a)) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (/.f64 (*.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (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 1/3 a)) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (/.f64 (*.f64 rand rand) (+.f64 1/3 a)) (*.f64 1/9 (fma.f64 a a -1/9)))
(/.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (*.f64 rand (*.f64 rand 1/9)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.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 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (*.f64 rand (*.f64 rand 1/9)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)))
(/.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.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 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (*.f64 rand (*.f64 rand 1/9)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)))
(pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1)
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) 2)
(pow.f64 (*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 3)
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 rand 4) 1/81)) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 (pow.f64 rand 4) 1/81)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27)) 2))
(pow.f64 (pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3) 1/3)
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 rand 4) 1/81)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 2) (*.f64 (pow.f64 rand 4) 1/81)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27)) 2))
(log.f64 (exp.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3)))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(exp.f64 (log.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 -1/3 a))
(*.f64 (*.f64 rand rand) (fma.f64 a 1/9 -1/27))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand rand)))) 1)
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(pow.f64 (*.f64 1/9 (*.f64 rand rand)) 1)
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(pow.f64 (*.f64 rand 1/3) 2)
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(pow.f64 (cbrt.f64 (*.f64 1/9 (*.f64 rand rand))) 3)
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(pow.f64 (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3) 1/3)
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(sqrt.f64 (*.f64 (pow.f64 rand 4) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) (*.f64 rand rand)))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/9 (*.f64 rand rand)))))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(cbrt.f64 (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(expm1.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand rand))))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(exp.f64 (*.f64 2 (log.f64 (*.f64 rand 1/3))))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(log1p.f64 (expm1.f64 (*.f64 1/9 (*.f64 rand rand))))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 1/3 (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))
✓8.3b
(*.f64 (+.f64 a -1/3) (*.f64 rand rand))
✓25.6b
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))
Compiler

Compiled 37 to 20 computations (45.9% saved)

series3.0ms (0%)

Counts
3 → 56
Calls

18 calls:

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

rewrite74.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1080×*-commutative
806×unswap-sqr
636×swap-sqr
536×associate-*r/
512×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01271
125059
2304559
Stop Event
1×node limit
Counts
3 → 110
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))
(*.f64 (+.f64 a -1/3) (*.f64 rand rand))
(*.f64 1/3 (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 1/2) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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 (sqrt.f64 (fma.f64 a a -1/9)) rand) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) rand) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 rand rand)) (*.f64 -1/3 (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (*.f64 rand rand)) (*.f64 a (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a (*.f64 rand rand))) (*.f64 1 (*.f64 -1/3 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 -1/3 (*.f64 rand rand))) (*.f64 1 (*.f64 a (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (*.f64 rand rand)) 1) (*.f64 (*.f64 -1/3 (*.f64 rand rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/3 (*.f64 rand rand)) 1) (*.f64 (*.f64 a (*.f64 rand rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand rand) (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (*.f64 rand (fma.f64 a a -1/9))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand rand) (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand rand) (neg.f64 (fma.f64 a a -1/9))) (+.f64 (neg.f64 a) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand rand) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 a -1/3))) (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 (*.f64 rand rand) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 rand rand) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 rand rand)) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (*.f64 rand rand)) (+.f64 (neg.f64 a) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (*.f64 rand rand)) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 rand rand) (+.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 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 rand rand) (sqrt.f64 (+.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 rand (fma.f64 a a -1/9)) rand) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) rand) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 rand rand) (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 rand rand) (+.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 (*.f64 rand rand) (+.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 (*.f64 rand rand) (+.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 pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 rand) rand) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 6) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))))))

simplify94.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1420×associate-/r*
944×distribute-lft-in
942×distribute-rgt-in
670×associate-/l/
654×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03135114
18194946
233704946
Stop Event
1×node limit
Counts
166 → 203
Calls
Call 1
Inputs
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 -1 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (pow.f64 rand 2))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(*.f64 a (pow.f64 rand 2))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(*.f64 a (pow.f64 rand 2))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (pow.f64 1 1/2))
(*.f64 1 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)
(*.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 rand) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 (sqrt.f64 rand) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 1/2))
(*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 rand))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(*.f64 (pow.f64 1 1/2) (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4) 1/2))
(*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 1/2) (sqrt.f64 rand))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/6))
(/.f64 (*.f64 rand (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) rand) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) rand) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/2)
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3)
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(fabs.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (*.f64 a (*.f64 rand rand)) (*.f64 -1/3 (*.f64 rand rand)))
(+.f64 (*.f64 -1/3 (*.f64 rand rand)) (*.f64 a (*.f64 rand rand)))
(+.f64 (*.f64 1 (*.f64 a (*.f64 rand rand))) (*.f64 1 (*.f64 -1/3 (*.f64 rand rand))))
(+.f64 (*.f64 1 (*.f64 -1/3 (*.f64 rand rand))) (*.f64 1 (*.f64 a (*.f64 rand rand))))
(+.f64 (*.f64 (*.f64 a (*.f64 rand rand)) 1) (*.f64 (*.f64 -1/3 (*.f64 rand rand)) 1))
(+.f64 (*.f64 (*.f64 -1/3 (*.f64 rand rand)) 1) (*.f64 (*.f64 a (*.f64 rand rand)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 1)
(/.f64 (*.f64 rand rand) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (*.f64 rand rand)))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (*.f64 rand rand)))
(/.f64 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (*.f64 rand (*.f64 rand (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 rand rand) (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))
(/.f64 (*.f64 (*.f64 rand rand) (neg.f64 (fma.f64 a a -1/9))) (+.f64 (neg.f64 a) -1/3))
(/.f64 (*.f64 (*.f64 rand rand) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 1 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (*.f64 1 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 (*.f64 rand rand) (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 (*.f64 rand rand) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 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 rand rand)) (-.f64 -1/3 a))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (*.f64 rand rand)) (+.f64 (neg.f64 a) -1/3))
(/.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (*.f64 rand rand)) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 rand (fma.f64 a a -1/9)) rand) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) rand) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (*.f64 rand rand) (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 (*.f64 rand rand) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 (*.f64 rand rand) (+.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 (*.f64 rand rand) (+.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)))))
(pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1)
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2)
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4)
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 6)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3)
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 6) 1/3)
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 2/3)
(sqrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 rand) rand) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 6))
(cbrt.f64 (*.f64 (pow.f64 rand 6) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))) 1)
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))
Outputs
(*.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 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/2 (*.f64 (/.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 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/8 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.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))))))
(fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (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 -1/8 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3))))))
(fma.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 -1 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(neg.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 -1 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(neg.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 -1 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(neg.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 -1 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(neg.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 -1/3 (pow.f64 rand 2))
(*.f64 -1/3 (*.f64 rand rand))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 (*.f64 rand a) rand)
(*.f64 rand (*.f64 rand a))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 (*.f64 rand a) rand)
(*.f64 rand (*.f64 rand a))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(+.f64 (*.f64 a (pow.f64 rand 2)) (*.f64 -1/3 (pow.f64 rand 2)))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 (-.f64 a 1/3) (pow.f64 rand 2))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 (*.f64 rand 1/3) (sqrt.f64 -1/3))
(*.f64 rand (*.f64 (sqrt.f64 -1/3) 1/3))
(*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) 1/6))
(fma.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/3 (/.f64 (*.f64 (*.f64 rand a) 1/6) (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 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) -1/24)))
(fma.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/3 (fma.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) 1/48))))
(fma.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/3 (fma.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 (fma.f64 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) 1/48 (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/3 (fma.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 (fma.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) 1/48 (*.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 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 -1/3 (sqrt.f64 (+.f64 -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 rand (*.f64 -1/3 (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 rand (*.f64 -1/3 (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 rand (*.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (pow.f64 1 1/2))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 1 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 rand) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 (sqrt.f64 rand) (sqrt.f64 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 rand) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 1/2))
(*.f64 (sqrt.f64 rand) (sqrt.f64 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 rand))
(*.f64 (sqrt.f64 rand) (sqrt.f64 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 4)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))) (fabs.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 4)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))) (fabs.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 2)))
(*.f64 (pow.f64 1 1/2) (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 4)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))) (fabs.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 4)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))) (fabs.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 2)))
(*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 1/2) (sqrt.f64 rand))
(*.f64 (sqrt.f64 rand) (sqrt.f64 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3/2))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/6))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 rand (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) rand)
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (fma.f64 a (+.f64 a 1/3) 1/9)) rand))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 a 1/3) 1/9))) rand)
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) rand) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) rand)
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) rand) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (fma.f64 a (+.f64 a 1/3) 1/9)) rand))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 a 1/3) 1/9))) rand)
(pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/2)
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 2)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(fabs.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 (*.f64 a (*.f64 rand rand)) (*.f64 -1/3 (*.f64 rand rand)))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(+.f64 (*.f64 -1/3 (*.f64 rand rand)) (*.f64 a (*.f64 rand rand)))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(+.f64 (*.f64 1 (*.f64 a (*.f64 rand rand))) (*.f64 1 (*.f64 -1/3 (*.f64 rand rand))))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(+.f64 (*.f64 1 (*.f64 -1/3 (*.f64 rand rand))) (*.f64 1 (*.f64 a (*.f64 rand rand))))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(+.f64 (*.f64 (*.f64 a (*.f64 rand rand)) 1) (*.f64 (*.f64 -1/3 (*.f64 rand rand)) 1))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(+.f64 (*.f64 (*.f64 -1/3 (*.f64 rand rand)) 1) (*.f64 (*.f64 a (*.f64 rand rand)) 1))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) 1)
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(/.f64 (*.f64 rand rand) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (*.f64 rand rand)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (*.f64 rand rand))
(*.f64 (*.f64 rand rand) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (*.f64 rand rand)))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 rand rand))
(*.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9)) rand)
(/.f64 (*.f64 (*.f64 rand rand) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9))
(/.f64 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (*.f64 rand rand))
(*.f64 (*.f64 rand rand) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 rand rand))
(*.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9)) rand)
(/.f64 (*.f64 (*.f64 rand rand) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9))
(/.f64 (*.f64 rand (*.f64 rand (fma.f64 a a -1/9))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (*.f64 rand rand))
(*.f64 (*.f64 rand rand) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 rand rand))
(*.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9)) rand)
(/.f64 (*.f64 (*.f64 rand rand) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9))
(/.f64 (*.f64 (*.f64 rand rand) (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))
(/.f64 (*.f64 rand rand) (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 (*.f64 rand rand) (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 (*.f64 (*.f64 rand rand) (neg.f64 (fma.f64 a a -1/9))) (+.f64 (neg.f64 a) -1/3))
(/.f64 (*.f64 rand rand) (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 (*.f64 rand rand) (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 (*.f64 (*.f64 rand rand) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 rand rand) (-.f64 1/27 (pow.f64 a 3))) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 rand rand) (-.f64 1/27 (pow.f64 a 3))) (-.f64 -1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (-.f64 1/27 (pow.f64 a 3)) (-.f64 -1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 rand rand))
(/.f64 (*.f64 1 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (*.f64 rand rand))
(*.f64 (*.f64 rand rand) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 1 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 rand rand))
(*.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9)) rand)
(/.f64 (*.f64 (*.f64 rand rand) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9))
(/.f64 (*.f64 (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand rand)) (/.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (*.f64 rand (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) rand) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand rand))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 a 1/3) 1/9))) (*.f64 rand (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (*.f64 (*.f64 (*.f64 rand rand) (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 rand (*.f64 rand (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))) (/.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (*.f64 rand (*.f64 rand (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))) (cbrt.f64 (+.f64 a 1/3))) (cbrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 rand (/.f64 (cbrt.f64 (+.f64 a 1/3)) rand)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (fma.f64 a a -1/9))))
(/.f64 (*.f64 (*.f64 (*.f64 rand rand) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 rand (*.f64 rand (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))) (/.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 (*.f64 rand (*.f64 rand (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))) (/.f64 (cbrt.f64 (fma.f64 a (+.f64 a 1/3) 1/9)) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (*.f64 rand (*.f64 rand (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))) (cbrt.f64 (fma.f64 a (+.f64 a 1/3) 1/9))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 rand rand)) (-.f64 -1/3 a))
(/.f64 (*.f64 rand rand) (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 (*.f64 rand rand) (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (*.f64 rand rand)) (+.f64 (neg.f64 a) -1/3))
(/.f64 (*.f64 rand rand) (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 (*.f64 rand rand) (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (*.f64 rand rand)) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 rand rand) (-.f64 1/27 (pow.f64 a 3))) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 rand rand) (-.f64 1/27 (pow.f64 a 3))) (-.f64 -1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (-.f64 1/27 (pow.f64 a 3)) (-.f64 -1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 rand rand))
(/.f64 (*.f64 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (*.f64 rand rand))
(*.f64 (*.f64 rand rand) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 rand rand))
(*.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9)) rand)
(/.f64 (*.f64 (*.f64 rand rand) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand rand)) (/.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (*.f64 rand (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) rand) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand rand))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 a 1/3) 1/9))) (*.f64 rand (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand rand)) (/.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (*.f64 rand (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) rand) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 rand rand) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand rand))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 a 1/3) 1/9))) (*.f64 rand (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (*.f64 (*.f64 rand (fma.f64 a a -1/9)) rand) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (*.f64 rand rand))
(*.f64 (*.f64 rand rand) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) rand) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 rand rand))
(*.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9)) rand)
(/.f64 (*.f64 (*.f64 rand rand) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9))
(/.f64 (/.f64 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (*.f64 rand rand))
(*.f64 (*.f64 rand rand) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (*.f64 rand rand) (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)) (*.f64 rand rand))
(*.f64 (*.f64 rand rand) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (*.f64 rand rand) (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)) (*.f64 rand rand))
(*.f64 (*.f64 rand rand) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 rand rand))
(*.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9)) rand)
(/.f64 (*.f64 (*.f64 rand rand) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9))
(/.f64 (/.f64 (*.f64 (*.f64 rand rand) (+.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 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 rand rand))
(*.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9)) rand)
(/.f64 (*.f64 (*.f64 rand rand) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9))
(/.f64 (/.f64 (*.f64 (*.f64 rand rand) (+.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 (pow.f64 a 3) -1/27) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 rand rand))
(*.f64 (/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9)) rand)
(/.f64 (*.f64 (*.f64 rand rand) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a (+.f64 a 1/3) 1/9))
(pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1)
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2)
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 2)
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 4)
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 6)
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 3)
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 4) 1/2)
(sqrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 4))
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6))
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 2/3)
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 2)
(sqrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 4))
(sqrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 rand) rand) (+.f64 a -1/3)))
(*.f64 (+.f64 -1/3 a) (log.f64 (pow.f64 (exp.f64 rand) rand)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 rand) rand) (+.f64 -1/3 a)))
(*.f64 (+.f64 -1/3 a) (*.f64 rand (log.f64 (exp.f64 rand))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 6))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 6))
(cbrt.f64 (*.f64 (pow.f64 rand 6) (pow.f64 (+.f64 a -1/3) 3)))
(cbrt.f64 (*.f64 (pow.f64 rand 6) (pow.f64 (+.f64 -1/3 a) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(*.f64 (+.f64 -1/3 a) (*.f64 rand rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))) 1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 a 1/3)) (*.f64 rand 1/3)))
(/.f64 (*.f64 rand 1/3) (/.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 (*.f64 rand (*.f64 1/3 (sqrt.f64 (fma.f64 a a -1/9)))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (*.f64 rand 1/3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 a 1/3) 1/9))) (*.f64 rand 1/3))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))) 2)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))) 3)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 3) 1/3)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(sqrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/9))
(sqrt.f64 (*.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)) 1/9))
(sqrt.f64 (*.f64 (*.f64 rand rand) (*.f64 (+.f64 -1/3 a) 1/9)))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand (*.f64 rand 1/9))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) 3))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 a 1/3) rand)
✓0.2b
(sqrt.f64 (/.f64 1/9 a))
✓0.4b
(/.f64 1/9 a)
✓9.1b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
Compiler

Compiled 31 to 21 computations (32.3% saved)

series37.0ms (0.4%)

Counts
3 → 12
Calls

12 calls:

TimeVariablePointExpression
31.0ms
rand
@-inf
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
2.0ms
a
@-inf
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
1.0ms
rand
@0
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
1.0ms
a
@0
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
1.0ms
a
@inf
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))

rewrite76.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1590×associate-*r/
1282×associate-*l/
472×distribute-rgt-in
436×associate-/r*
428×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
125847
2320447
Stop Event
1×node limit
Counts
3 → 168
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(/.f64 1/9 a)
(sqrt.f64 (/.f64 1/9 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 a rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 -1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 -1/3 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 -1/3 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(pow.f64 1/9 1/2) (pow.f64 (/.f64 1 a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/9) (sqrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 -1/9)) (sqrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 1/9 a) 1/4) (sqrt.f64 1/3)) (sqrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 1) (cbrt.f64 (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 1/9)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 -1/9)) (cbrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 1/3)) (cbrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) 1/3) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) 1) (/.f64 (sqrt.f64 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) -1/3) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 -1/9)) (sqrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1/9) 1) (sqrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 (/.f64 1/9 a) 1/4)) (sqrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 1/3) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 1/9) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 -1/9) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 a))))))))

simplify91.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1412×unswap-sqr
866×associate-/l*
776×associate-*r*
700×associate-*l*
438×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04015414
19515290
247385290
Stop Event
1×node limit
Counts
180 → 218
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)) (*.f64 rand a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 a rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 -1/3 rand)))
(+.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3))
(+.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))
(+.f64 (*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))))
(+.f64 (*.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 -1/3 rand) (/.f64 1/3 (sqrt.f64 a))))
(+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(+.f64 (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) 1)
(/.f64 1/3 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (*.f64 a 9)))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 a) 1/3))
(/.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (-.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a))
(/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (-.f64 a -1/3))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (sqrt.f64 a))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 -1/9)) (sqrt.f64 (neg.f64 a)))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (fma.f64 a a -1/9))) (-.f64 a -1/3))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 (pow.f64 a 3) -1/27))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (fma.f64 a a -1/9) rand)) (-.f64 a -1/3))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 1 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3)) (sqrt.f64 a))
(/.f64 (*.f64 1 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (-.f64 a -1/3))
(/.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 1 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (sqrt.f64 a))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a -1/9)) (-.f64 a -1/3))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 rand (/.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 rand (/.f64 1/3 (sqrt.f64 a))) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (-.f64 a -1/3)))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (neg.f64 (+.f64 (pow.f64 a 3) -1/27))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (/.f64 1/9 a) 1/4)) (sqrt.f64 1/3)) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 1/3)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (neg.f64 (-.f64 a -1/3)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.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 (pow.f64 a 3) -1/27)) (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) rand) (/.f64 1/3 (sqrt.f64 a))) (-.f64 a -1/3))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (sqrt.f64 -1/9) (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (neg.f64 a)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) 1) (sqrt.f64 a))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (-.f64 a -1/3))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (sqrt.f64 a))
(/.f64 (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 (/.f64 1/9 a) 1/4) (*.f64 (+.f64 a -1/3) rand))) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (-.f64 a -1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 1 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 (*.f64 a 9)))
(/.f64 (*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 a))
(/.f64 (*.f64 (cbrt.f64 -1/9) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 (neg.f64 a)))
(/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) 1) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (-.f64 a -1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (-.f64 a -1/3))) (sqrt.f64 (-.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 (cbrt.f64 (-.f64 a -1/3)) (cbrt.f64 (-.f64 a -1/3)))) (cbrt.f64 (-.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (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 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.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 1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3) 1/3)
(sqrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (+.f64 a -1/3) rand)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (/.f64 1/9 a) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/9 a) 3/2) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/9 a))) 1)
(*.f64 1/9 (/.f64 1 a))
(*.f64 (/.f64 1/9 a) 1)
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1 (/.f64 1/9 a))
(*.f64 (pow.f64 (/.f64 1/9 a) 1/4) (*.f64 (pow.f64 (/.f64 1/9 a) 1/4) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2) (cbrt.f64 (/.f64 1/9 a)))
(*.f64 (/.f64 1 a) 1/9)
(*.f64 -1/9 (/.f64 -1 a))
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (pow.f64 (/.f64 1/9 a) 1/4)) (pow.f64 (/.f64 1/9 a) 1/4))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1/9 a)) 1/3) (sqrt.f64 a)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 1/9 (sqrt.f64 a)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 1/9 (cbrt.f64 a)))
(*.f64 (/.f64 -1 a) -1/9)
(pow.f64 (/.f64 1/9 a) 1)
(pow.f64 (/.f64 1/3 (sqrt.f64 a)) 2)
(pow.f64 (cbrt.f64 (/.f64 1/9 a)) 3)
(pow.f64 (/.f64 (/.f64 1/81 a) a) 1/2)
(pow.f64 (pow.f64 (/.f64 1/9 a) 3) 1/3)
(pow.f64 (*.f64 a 9) -1)
(sqrt.f64 (/.f64 (/.f64 1/81 a) a))
(log.f64 (exp.f64 (/.f64 1/9 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 a))))
(cbrt.f64 (pow.f64 (/.f64 1/9 a) 3))
(expm1.f64 (log1p.f64 (/.f64 1/9 a)))
(exp.f64 (log.f64 (/.f64 1/9 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1))
(log1p.f64 (expm1.f64 (/.f64 1/9 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a)))) 1)
(*.f64 1/3 (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) 1)
(*.f64 1 (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (pow.f64 (/.f64 1/9 a) 1/4) (pow.f64 (/.f64 1/9 a) 1/4))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/9 a)))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 1/9 a))))
(*.f64 (/.f64 1 (sqrt.f64 a)) 1/3)
(*.f64 (pow.f64 1/9 1/2) (pow.f64 (/.f64 1 a) 1/2))
(*.f64 (pow.f64 1 1/2) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 1/2))
(/.f64 1/3 (sqrt.f64 a))
(/.f64 1 (sqrt.f64 (*.f64 a 9)))
(/.f64 1 (/.f64 (sqrt.f64 a) 1/3))
(/.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (*.f64 a 9)))
(/.f64 -1/3 (neg.f64 (sqrt.f64 a)))
(/.f64 (sqrt.f64 -1/9) (sqrt.f64 (neg.f64 a)))
(/.f64 (*.f64 1 (sqrt.f64 -1/9)) (sqrt.f64 (neg.f64 a)))
(/.f64 (*.f64 (pow.f64 (/.f64 1/9 a) 1/4) (sqrt.f64 1/3)) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 1) (cbrt.f64 (*.f64 a 9)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 1/9)) (cbrt.f64 a))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 -1/9)) (cbrt.f64 (neg.f64 a)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 1/3)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (pow.f64 1 1/2) 1/3) (sqrt.f64 a))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (*.f64 a 9)))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (/.f64 (sqrt.f64 a) 1/3))
(/.f64 (*.f64 (pow.f64 1 1/2) -1/3) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 -1/9)) (sqrt.f64 (neg.f64 a)))
(/.f64 (*.f64 (sqrt.f64 -1/9) 1) (sqrt.f64 (neg.f64 a)))
(/.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 (/.f64 1/9 a) 1/4)) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (cbrt.f64 1/3) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (cbrt.f64 1/9) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 a))
(/.f64 (*.f64 (cbrt.f64 -1/9) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (neg.f64 a)))
(/.f64 (/.f64 1/3 (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 1/3 (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 1/3 (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(pow.f64 (/.f64 1/9 a) 1/2)
(pow.f64 (/.f64 1/3 (sqrt.f64 a)) 1)
(pow.f64 (pow.f64 (/.f64 1/9 a) 1/4) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 3)
(pow.f64 (pow.f64 (/.f64 1/9 a) 3/2) 1/3)
(fabs.f64 (/.f64 1/3 (sqrt.f64 a)))
(log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 a)))))
(cbrt.f64 (pow.f64 (/.f64 1/9 a) 3/2))
(expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a))))
(exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 a))))
Outputs
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 rand (*.f64 (*.f64 1/3 (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 rand (*.f64 (*.f64 1/3 (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 rand (*.f64 (*.f64 1/3 (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 rand (*.f64 (*.f64 1/3 (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 rand (*.f64 (*.f64 1/3 (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 rand (*.f64 (*.f64 1/3 (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 rand (*.f64 (*.f64 1/3 (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 rand (*.f64 (*.f64 1/3 (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 rand (*.f64 (*.f64 1/3 (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 rand (*.f64 (*.f64 1/3 (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 rand (*.f64 (*.f64 1/3 (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 rand (*.f64 (*.f64 1/3 (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a))))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 a rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 -1/3 rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(+.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(+.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(+.f64 (*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(+.f64 (*.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 -1/3 rand) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(+.f64 (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) 1)
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 1/3 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (*.f64 a 9)))
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (*.f64 a 9)) rand))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))) rand)
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 a) 1/3))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (fma.f64 a a -1/9) (/.f64 (-.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (*.f64 rand (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (-.f64 a -1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 rand (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 rand (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 -1/9)) (sqrt.f64 (neg.f64 a)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (/.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 -1/9)))
(*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (neg.f64 a))) (sqrt.f64 -1/9))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (fma.f64 a a -1/9))) (-.f64 a -1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 (pow.f64 a 3) -1/27))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 rand (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (fma.f64 a a -1/9) rand)) (-.f64 a -1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 rand (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 1 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3)) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (*.f64 1 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (-.f64 a -1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 rand (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 1 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a -1/9)) (-.f64 a -1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 rand (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (*.f64 rand (/.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 rand (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (-.f64 a -1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (neg.f64 (+.f64 (pow.f64 a 3) -1/27))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 rand (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (/.f64 1/9 a) 1/4)) (sqrt.f64 1/3)) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (sqrt.f64 1/3) (/.f64 (sqrt.f64 (sqrt.f64 a)) (*.f64 (*.f64 rand (+.f64 a -1/3)) (pow.f64 (/.f64 1/9 a) 1/4))))
(*.f64 (/.f64 (sqrt.f64 1/3) (sqrt.f64 (sqrt.f64 a))) (*.f64 rand (*.f64 (+.f64 a -1/3) (pow.f64 (/.f64 1/9 a) 1/4))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 1/3)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (cbrt.f64 (/.f64 1/9 a)))) (/.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 1/3)))
(*.f64 (/.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 1/9 a)))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 1/3))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (neg.f64 (-.f64 a -1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 rand (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (*.f64 rand (fma.f64 a a -1/9)) (/.f64 1/3 (sqrt.f64 a))) (-.f64 a -1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (*.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 rand (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (+.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) rand) (/.f64 1/3 (sqrt.f64 a))) (-.f64 a -1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 rand (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (*.f64 (sqrt.f64 -1/9) (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (neg.f64 a)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (/.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 -1/9)))
(*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (neg.f64 a))) (sqrt.f64 -1/9))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) 1) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (-.f64 a -1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 rand (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (*.f64 (sqrt.f64 1/3) (*.f64 (pow.f64 (/.f64 1/9 a) 1/4) (*.f64 (+.f64 a -1/3) rand))) (sqrt.f64 (sqrt.f64 a)))
(/.f64 (sqrt.f64 1/3) (/.f64 (sqrt.f64 (sqrt.f64 a)) (*.f64 (*.f64 rand (+.f64 a -1/3)) (pow.f64 (/.f64 1/9 a) 1/4))))
(*.f64 (/.f64 (sqrt.f64 1/3) (sqrt.f64 (sqrt.f64 a))) (*.f64 rand (*.f64 (+.f64 a -1/3) (pow.f64 (/.f64 1/9 a) 1/4))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (-.f64 a -1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 a 1/3)) (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (sqrt.f64 (fma.f64 a a -1/9)))) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (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 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 (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 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 1 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 (*.f64 a 9)))
(/.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (*.f64 a 9)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (/.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (*.f64 (cbrt.f64 1/9) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 a))
(/.f64 (*.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 1/9)) (cbrt.f64 a))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 1/9)) (/.f64 (cbrt.f64 a) (*.f64 rand (+.f64 a -1/3))))
(/.f64 (*.f64 (cbrt.f64 -1/9) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 (neg.f64 a)))
(/.f64 (cbrt.f64 -1/9) (/.f64 (cbrt.f64 (neg.f64 a)) (*.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 (/.f64 (cbrt.f64 -1/9) (cbrt.f64 (neg.f64 a))) (*.f64 rand (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) 1) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 a)))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 a)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (*.f64 (sqrt.f64 (cbrt.f64 a)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))
(*.f64 (/.f64 rand (sqrt.f64 (cbrt.f64 a))) (/.f64 (*.f64 1/3 (+.f64 a -1/3)) (fabs.f64 (cbrt.f64 a))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (-.f64 a -1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (-.f64 a -1/3))) (sqrt.f64 (-.f64 a -1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
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(/.f64 1/3 (sqrt.f64 a))
(exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 1/3 (sqrt.f64 a))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2))
(sqrt.f64 (/.f64 1/9 a))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1))
(/.f64 1/3 (sqrt.f64 a))
(log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 1/3 (sqrt.f64 a))

eval585.0ms (5.9%)

Compiler

Compiled 23097 to 17182 computations (25.6% saved)

prune320.0ms (3.2%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New117961185
Fresh213
Picked101
Done279
Total1184141198
Error
0b
Counts
1198 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
42.8b
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (*.f64 a 9)) rand))
▶48.9b
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 a) 1/3))
✓0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓21.3b
(-.f64 a 1/3)
✓0.2b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
✓0.2b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
▶48.9b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (/.f64 1/3 (sqrt.f64 a)))
▶48.9b
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
▶41.9b
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
✓42.0b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
✓42.0b
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
✓41.9b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶59.4b
(*.f64 1/3 (sqrt.f64 (*.f64 (*.f64 rand a) rand)))
21.7b
a
Compiler

Compiled 216 to 165 computations (23.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 28 to 21 computations (25% saved)

series5.0ms (0.1%)

Counts
4 → 44
Calls

15 calls:

TimeVariablePointExpression
2.0ms
rand
@0
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
1.0ms
a
@-inf
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
1.0ms
a
@0
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
0.0ms
a
@inf
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
0.0ms
a
@-inf
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))

rewrite85.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
924×*-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
1×node limit
Counts
4 → 183
Calls
Call 1
Inputs
(*.f64 a 1/9)
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(+.f64 -1/27 (*.f64 a 1/9))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) (exp.f64 (log1p.f64 (*.f64 a 1/9)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3) 1/729) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a a) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a 1/9)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.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 (pow.f64 a 3) 1/729))) rand) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.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 (pow.f64 a 3) 1/729))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (/.f64 1 (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))) (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 1 (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (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 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) 1) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) 1) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 1/9 -1/27) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 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(*.f64 a -1/9))) (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9)))) (*.f64 (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 1/9 -1/27) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (+.f64 1/27 (neg.f64 (*.f64 a -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1/9 -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/9 a -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 1/9) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) 1/3) (*.f64 (sqrt.f64 a) 1/3) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/9)) 2) (cbrt.f64 (*.f64 a 1/9)) -1/27)))))

simplify121.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
948×associate-*r/
824×associate-*l/
712×associate-*r*
630×associate-/r/
560×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04787899
111676813
245206813
Stop Event
1×node limit
Counts
227 → 324
Calls
Call 1
Inputs
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 (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))))
(*.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)))
(sqrt.f64 -1/27)
(+.f64 (sqrt.f64 -1/27) (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))))
(+.f64 (sqrt.f64 -1/27) (+.f64 (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3)))))
(+.f64 (sqrt.f64 -1/27) (+.f64 (*.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5))) (+.f64 (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3))))))
-1/27
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) (exp.f64 (log1p.f64 (*.f64 a 1/9)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1))
(pow.f64 (*.f64 a 1/9) 1)
(pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)
(pow.f64 (*.f64 (pow.f64 a 3) 1/729) 1/3)
(sqrt.f64 (*.f64 (*.f64 a a) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))
(cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))
(expm1.f64 (log1p.f64 (*.f64 a 1/9)))
(exp.f64 (log.f64 (*.f64 a 1/9)))
(log1p.f64 (expm1.f64 (*.f64 a 1/9)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1)
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.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 (pow.f64 a 3) 1/729))) rand) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.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 (pow.f64 a 3) 1/729))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3) 1/3)
(sqrt.f64 (*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) (pow.f64 rand 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 1)
(*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 1)
(*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 1 1/2))
(*.f64 1 (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)))
(*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))))
(*.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 a 1/9 -1/27)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2) 1/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 1/6) (pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 1/6))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))) (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))))
(/.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 (pow.f64 a 3) 1/729))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.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 (pow.f64 a 3) 1/729)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.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 a 1/9 -1/27))) (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -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 (pow.f64 a 3) 1/729)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.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 (pow.f64 a 3) 1/729))) 1) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.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 (pow.f64 a 3) 1/729))) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 1))
(pow.f64 (fma.f64 a 1/9 -1/27) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 1)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 28/27)
(-.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))))
(-.f64 (+.f64 -1/27 (exp.f64 (log1p.f64 (*.f64 a 1/9)))) 1)
(*.f64 (fma.f64 a 1/9 -1/27) 1)
(*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 1 (fma.f64 a 1/9 -1/27))
(*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2) (cbrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (fma.f64 a 1/9 -1/27))))
(*.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2))
(*.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -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 (pow.f64 a 3) 1/729)) (/.f64 1 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4)) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (cbrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) -1/729) (/.f64 1 (+.f64 (*.f64 a 1/9) 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 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))) (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))
(*.f64 (+.f64 -1/729 (neg.f64 (*.f64 (*.f64 a a) -1/81))) (/.f64 1 (+.f64 1/27 (neg.f64 (*.f64 a -1/9)))))
(*.f64 (+.f64 1/19683 (neg.f64 (*.f64 (pow.f64 a 3) 1/729))) (/.f64 1 (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))))
(*.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (fma.f64 a 1/9 -1/27))
(*.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (-.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (+.f64 1/729 (*.f64 (*.f64 a 1/9) (fma.f64 a 1/9 -1/27))))
(*.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (-.f64 1/531441 (pow.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)) 2))) (-.f64 1/729 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))
(*.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (+.f64 1/387420489 (pow.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)) 3))) (+.f64 1/531441 (*.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)) (-.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)) 1/729))))
(*.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (fma.f64 a 1/9 -1/27))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)))) (*.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (fma.f64 a 1/9 -1/27))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (fma.f64 a 1/9 -1/27))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/4) (pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/4))
(*.f64 (pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/6))
(/.f64 1 (/.f64 1 (fma.f64 a 1/9 -1/27)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 a 1/9 -1/27)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 a 1/9) 1/27) (+.f64 (*.f64 (*.f64 a a) 1/81) -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 (*.f64 a a) 1/81) (*.f64 1/243 a)))) (+.f64 1/19683 (neg.f64 (*.f64 (pow.f64 a 3) 1/729)))))
(/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))
(/.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (/.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))) (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))))
(/.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 (pow.f64 a 3) 1/729))) (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))) (/.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))) (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))))
(/.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 1/531441 (pow.f64 a 6))) (*.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))) (-.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))))
(/.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) -1/729) (+.f64 (*.f64 a 1/9) 1/27))
(/.f64 (-.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (*.f64 (+.f64 -1/27 (*.f64 a -1/9)) (+.f64 (*.f64 (*.f64 a a) 1/81) 1/729)))
(/.f64 (+.f64 -1/7625597484987 (pow.f64 (*.f64 (pow.f64 a 3) 1/729) 3)) (*.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))) (+.f64 1/387420489 (+.f64 (*.f64 1/531441 (pow.f64 a 6)) (*.f64 1/19683 (*.f64 (pow.f64 a 3) 1/729))))))
(/.f64 (-.f64 1/387420489 (pow.f64 (*.f64 (*.f64 a a) 1/81) 3)) (*.f64 (+.f64 -1/27 (*.f64 a -1/9)) (+.f64 (+.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (*.f64 1/59049 (*.f64 a a)))))
(/.f64 (+.f64 -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 (pow.f64 a 3) 1/729))) (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -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 (*.f64 a a) 1/81) -1/729)) (+.f64 (*.f64 a 1/9) 1/27))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2) (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -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 (*.f64 a a) 1/81) -1/729) 1) (+.f64 (*.f64 a 1/9) 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 (pow.f64 a 3) 1/729))) 1) (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (sqrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (sqrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (-.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 (*.f64 (*.f64 a a) 1/81) 1/729))
(/.f64 (*.f64 (-.f64 1/387420489 (pow.f64 (*.f64 (*.f64 a a) 1/81) 3)) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 (+.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (*.f64 1/59049 (*.f64 a a))))
(/.f64 (*.f64 (-.f64 1/387420489 (*.f64 1/531441 (pow.f64 a 6))) (/.f64 1 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))) (-.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))
(/.f64 (*.f64 (+.f64 -1/7625597484987 (pow.f64 (*.f64 (pow.f64 a 3) 1/729) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))) (+.f64 1/387420489 (+.f64 (*.f64 1/531441 (pow.f64 a 6)) (*.f64 1/19683 (*.f64 (pow.f64 a 3) 1/729)))))
(/.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 (pow.f64 a 3) 1/729)) 1) (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9)))) (*.f64 (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9)))))
(pow.f64 (fma.f64 a 1/9 -1/27) 1)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 4)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 6)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 2/3)
(neg.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (+.f64 1/27 (neg.f64 (*.f64 a -1/9)))))
(neg.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))))
(sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))
(log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))
(expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))
(exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))
(log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 a 1/9 -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1 (*.f64 a 1/9) -1/27)
(fma.f64 (*.f64 (sqrt.f64 a) 1/3) (*.f64 (sqrt.f64 a) 1/3) -1/27)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/9)) 2) (cbrt.f64 (*.f64 a 1/9)) -1/27)
Outputs
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 (sqrt.f64 -1/27) rand)
(+.f64 (*.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand))
(fma.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27)) (*.f64 (sqrt.f64 -1/27) rand))
(fma.f64 (sqrt.f64 -1/27) rand (*.f64 1/18 (*.f64 (/.f64 a (sqrt.f64 -1/27)) rand)))
(fma.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -1/27)) a) (*.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)))
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(sqrt.f64 -1/27)
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-1/27
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(-.f64 (*.f64 1/9 a) 1/27)
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(fma.f64 1/9 a -1/27)
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(-.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)
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(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) -1/81 1/729)) (/.f64 (sqrt.f64 (fma.f64 a -1/9 -1/27)) rand))
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(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))) (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)))
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(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729)) (sqrt.f64 (fma.f64 a -1/9 -1/27))) rand)
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(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) 1) (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))
(*.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 (fma.f64 (*.f64 a a) 1/81 1/729) (*.f64 a 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(*.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 (fma.f64 (*.f64 a a) 1/81 1/729) (*.f64 a 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(*.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 (fma.f64 (*.f64 a a) 1/81 1/729) (*.f64 a 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))) (fma.f64 1/9 a -1/27)) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/9 a -1/27)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))))
(/.f64 (-.f64 (*.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9)))) (*.f64 (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9)))))
(/.f64 (-.f64 (*.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9)))) (*.f64 (/.f64 (*.f64 a a) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) 1/81)) (/.f64 (*.f64 a a) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) 1/81)))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 a a) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) 1/81))))
(/.f64 (-.f64 (/.f64 (/.f64 1/531441 (fma.f64 a -1/9 -1/27)) (fma.f64 a -1/9 -1/27)) (/.f64 (/.f64 (*.f64 1/6561 (pow.f64 a 4)) (fma.f64 a -1/9 -1/27)) (fma.f64 a -1/9 -1/27))) (+.f64 (/.f64 1/729 (fma.f64 a -1/9 -1/27)) (/.f64 (*.f64 a a) (/.f64 (fma.f64 a -1/9 -1/27) 1/81))))
(/.f64 (+.f64 (/.f64 1/531441 (*.f64 (fma.f64 a -1/9 -1/27) (fma.f64 a -1/9 -1/27))) (/.f64 (/.f64 (*.f64 (pow.f64 a 4) -1/6561) (fma.f64 a -1/9 -1/27)) (fma.f64 a -1/9 -1/27))) (+.f64 (/.f64 1/729 (fma.f64 a -1/9 -1/27)) (*.f64 (/.f64 (*.f64 a a) (fma.f64 a -1/9 -1/27)) 1/81)))
(pow.f64 (fma.f64 a 1/9 -1/27) 1)
(fma.f64 1/9 a -1/27)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 4)
(fma.f64 1/9 a -1/27)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 6)
(fma.f64 1/9 a -1/27)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 2))
(fabs.f64 (fma.f64 1/9 a -1/27))
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 2/3)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2)))
(neg.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (+.f64 1/27 (neg.f64 (*.f64 a -1/9)))))
(/.f64 (fma.f64 (*.f64 a a) 1/81 -1/729) (fma.f64 a 1/9 1/27))
(/.f64 (fma.f64 a (*.f64 a 1/81) -1/729) (fma.f64 1/9 a 1/27))
(neg.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))))
(/.f64 (+.f64 1/19683 (*.f64 (pow.f64 a 3) -1/729)) (-.f64 -1/729 (fma.f64 (*.f64 a a) 1/81 (*.f64 a 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) -1/729 1/19683) (-.f64 -1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) -1/729 1/19683) (+.f64 -1/729 (*.f64 a (+.f64 (*.f64 a -1/81) -1/243))))
(sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 2))
(fabs.f64 (fma.f64 1/9 a -1/27))
(log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))
(fma.f64 1/9 a -1/27)
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))
(fma.f64 1/9 a -1/27)
(expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(fma.f64 a 1/9 -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1 (*.f64 a 1/9) -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (*.f64 (sqrt.f64 a) 1/3) (*.f64 (sqrt.f64 a) 1/3) -1/27)
(+.f64 (pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2) -1/27)
(+.f64 -1/27 (pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/9)) 2) (cbrt.f64 (*.f64 a 1/9)) -1/27)
(fma.f64 1/9 a -1/27)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 rand a) rand)
✓0.4b
(*.f64 1/3 (sqrt.f64 (*.f64 (*.f64 rand a) rand)))
✓25.6b
(sqrt.f64 (*.f64 (*.f64 rand a) rand))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series6.0ms (0.1%)

Counts
3 → 48
Calls

18 calls:

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

rewrite64.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1800×add-sqr-sqrt
1780×*-un-lft-identity
1650×add-cube-cbrt
1626×add-cbrt-cube
190×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01053
119753
2228453
Stop Event
1×node limit
Counts
3 → 52
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 rand a) rand))
(*.f64 1/3 (sqrt.f64 (*.f64 (*.f64 rand a) rand)))
(*.f64 (*.f64 rand a) rand)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 rand (*.f64 rand a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 1/4) (pow.f64 (*.f64 rand (*.f64 rand a)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand a)) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (sqrt.f64 (*.f64 rand a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))) (cbrt.f64 (*.f64 rand (*.f64 rand a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) (cbrt.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 rand (*.f64 rand a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (*.f64 rand a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (*.f64 rand a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 rand (*.f64 rand a)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (*.f64 rand (*.f64 rand a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)))))))
((#(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 (sqrt.f64 (*.f64 rand (*.f64 rand 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)) 2) 1/2)))) (#(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 (pow.f64 (exp.f64 a) rand) rand))))) (#(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))))))))

simplify116.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1670×fma-def
870×*-commutative
664×log-prod
524×+-commutative
468×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211578
12541578
29971578
334041578
476161578
Stop Event
1×node limit
Counts
100 → 71
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 -1 (*.f64 (sqrt.f64 a) rand))
(*.f64 -1 (*.f64 (sqrt.f64 a) rand))
(*.f64 -1 (*.f64 (sqrt.f64 a) rand))
(*.f64 -1 (*.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 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.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 (sqrt.f64 (*.f64 rand (*.f64 rand a))))) 1)
(*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1)
(*.f64 1 (sqrt.f64 (*.f64 rand (*.f64 rand a))))
(*.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 1/4) (pow.f64 (*.f64 rand (*.f64 rand a)) 1/4))
(*.f64 (sqrt.f64 (*.f64 rand a)) (sqrt.f64 rand))
(*.f64 (sqrt.f64 rand) (sqrt.f64 (*.f64 rand a)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))) (cbrt.f64 (*.f64 rand (*.f64 rand a))))
(*.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) (cbrt.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 rand (*.f64 rand a))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 1/2))
(pow.f64 (*.f64 rand (*.f64 rand a)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1)
(pow.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))) 3)
(pow.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))))))
(cbrt.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (*.f64 rand a))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 rand (*.f64 rand a)) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (*.f64 rand (*.f64 rand a)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (*.f64 rand a)))) 1)
(pow.f64 (*.f64 rand (*.f64 rand a)) 1)
(pow.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 3)
(pow.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 2) 1/2)
(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 (pow.f64 (exp.f64 a) rand) rand))
(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 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) rand)
(*.f64 -1 (*.f64 (sqrt.f64 a) rand))
(neg.f64 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (neg.f64 rand))
(*.f64 -1 (*.f64 (sqrt.f64 a) rand))
(neg.f64 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (neg.f64 rand))
(*.f64 -1 (*.f64 (sqrt.f64 a) rand))
(neg.f64 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (neg.f64 rand))
(*.f64 -1 (*.f64 (sqrt.f64 a) rand))
(neg.f64 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (neg.f64 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) -1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) -1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) -1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 (sqrt.f64 a) rand) -1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(*.f64 a (pow.f64 rand 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))))) 1)
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1)
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(*.f64 1 (sqrt.f64 (*.f64 rand (*.f64 rand a))))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(*.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 1/4) (pow.f64 (*.f64 rand (*.f64 rand a)) 1/4))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(*.f64 (sqrt.f64 (*.f64 rand a)) (sqrt.f64 rand))
(*.f64 (sqrt.f64 (*.f64 a rand)) (sqrt.f64 rand))
(*.f64 (sqrt.f64 rand) (sqrt.f64 (*.f64 rand a)))
(*.f64 (sqrt.f64 (*.f64 a rand)) (sqrt.f64 rand))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))) (cbrt.f64 (*.f64 rand (*.f64 rand a))))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(*.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) (cbrt.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a)))))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 rand (*.f64 rand a))))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 1/2))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(pow.f64 (*.f64 rand (*.f64 rand a)) 1/2)
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(pow.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1)
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(pow.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 1/4) 2)
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))) 3)
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(pow.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3/2) 1/3)
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(fabs.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))))))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(cbrt.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3/2))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (*.f64 rand a))) 1/2))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))) 1))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a)))))
(sqrt.f64 (*.f64 a (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (*.f64 a rand)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3))) 1)
(*.f64 1/3 (sqrt.f64 (*.f64 a (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 a rand))))
(sqrt.f64 (*.f64 (*.f64 a rand) (*.f64 rand 1/9)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) 1)
(*.f64 1/3 (sqrt.f64 (*.f64 a (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 a rand))))
(sqrt.f64 (*.f64 (*.f64 a rand) (*.f64 rand 1/9)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)) 2)
(*.f64 1/3 (sqrt.f64 (*.f64 a (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 a rand))))
(sqrt.f64 (*.f64 (*.f64 a rand) (*.f64 rand 1/9)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)) 3)
(*.f64 1/3 (sqrt.f64 (*.f64 a (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 a rand))))
(sqrt.f64 (*.f64 (*.f64 a rand) (*.f64 rand 1/9)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) 3) 1/3)
(*.f64 1/3 (sqrt.f64 (*.f64 a (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 a rand))))
(sqrt.f64 (*.f64 (*.f64 a rand) (*.f64 rand 1/9)))
(sqrt.f64 (*.f64 (*.f64 rand (*.f64 rand a)) 1/9))
(*.f64 1/3 (sqrt.f64 (*.f64 a (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 a rand))))
(sqrt.f64 (*.f64 (*.f64 a rand) (*.f64 rand 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (*.f64 rand (*.f64 rand a)))))
(*.f64 1/3 (sqrt.f64 (*.f64 a (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 a rand))))
(sqrt.f64 (*.f64 (*.f64 a rand) (*.f64 rand 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3))))
(*.f64 1/3 (sqrt.f64 (*.f64 a (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 a rand))))
(sqrt.f64 (*.f64 (*.f64 a rand) (*.f64 rand 1/9)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3) 3))
(*.f64 1/3 (sqrt.f64 (*.f64 a (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 a rand))))
(sqrt.f64 (*.f64 (*.f64 a rand) (*.f64 rand 1/9)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)))
(*.f64 1/3 (sqrt.f64 (*.f64 a (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 a rand))))
(sqrt.f64 (*.f64 (*.f64 a rand) (*.f64 rand 1/9)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)))
(*.f64 1/3 (sqrt.f64 (*.f64 a (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 a rand))))
(sqrt.f64 (*.f64 (*.f64 a rand) (*.f64 rand 1/9)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)) 1))
(*.f64 1/3 (sqrt.f64 (*.f64 a (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 a rand))))
(sqrt.f64 (*.f64 (*.f64 a rand) (*.f64 rand 1/9)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 1/3)))
(*.f64 1/3 (sqrt.f64 (*.f64 a (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 rand (*.f64 a rand))))
(sqrt.f64 (*.f64 (*.f64 a rand) (*.f64 rand 1/9)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (*.f64 rand a)))) 1)
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(pow.f64 (*.f64 rand (*.f64 rand a)) 1)
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(pow.f64 (sqrt.f64 (*.f64 rand (*.f64 rand a))) 2)
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand a))) 3)
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(pow.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 2) 1/2)
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(pow.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3) 1/3)
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(sqrt.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 2))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) rand) rand))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (*.f64 rand a)))))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(cbrt.f64 (pow.f64 (*.f64 rand (*.f64 rand a)) 3))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(expm1.f64 (log1p.f64 (*.f64 rand (*.f64 rand a))))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(exp.f64 (log.f64 (*.f64 rand (*.f64 rand a))))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (*.f64 rand a))) 1))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))
(log1p.f64 (expm1.f64 (*.f64 rand (*.f64 rand a))))
(*.f64 a (*.f64 rand rand))
(*.f64 rand (*.f64 a rand))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(sqrt.f64 (/.f64 1/9 a))
0.4b
(/.f64 1/9 a)
✓9.1b
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
Compiler

Compiled 23 to 13 computations (43.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite77.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1980×add-sqr-sqrt
1950×*-un-lft-identity
1828×add-cube-cbrt
1802×add-cbrt-cube
196×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
120723
2251523
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand a) 1/3) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 rand a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 rand a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 rand) a) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))))))))

simplify67.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1828×distribute-rgt-in
1810×distribute-lft-in
1022×associate-*r*
936×associate-*l*
820×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049555
1117555
2399555
33148555
Stop Event
1×node limit
Counts
27 → 20
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 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))))) 1)
(/.f64 (*.f64 (*.f64 rand a) 1/3) (sqrt.f64 a))
(/.f64 (*.f64 1/3 (*.f64 rand a)) (sqrt.f64 a))
(pow.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))) 1)
(pow.f64 (sqrt.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))) 3)
(pow.f64 (pow.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))) 3) 1/3)
(sqrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 rand a) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 rand) a) (/.f64 1/3 (sqrt.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))))))
(cbrt.f64 (pow.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))))
(exp.f64 (log.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))) 1))
(log1p.f64 (expm1.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 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 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 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))))) 1)
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(/.f64 (*.f64 (*.f64 rand a) 1/3) (sqrt.f64 a))
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(/.f64 (*.f64 1/3 (*.f64 rand a)) (sqrt.f64 a))
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(pow.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))) 1)
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(pow.f64 (sqrt.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))) 2)
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(pow.f64 (cbrt.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))) 3)
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(pow.f64 (pow.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))) 3) 1/3)
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(sqrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 rand a) 2)))
(sqrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 a rand) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 rand) a) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))))))
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(cbrt.f64 (pow.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a)))) 3))
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(expm1.f64 (log1p.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(exp.f64 (log.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))) 1))
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(log1p.f64 (expm1.f64 (*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 rand (*.f64 a (/.f64 1/3 (sqrt.f64 a))))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 a 1/3) rand)
✓0.4b
(/.f64 1/3 (sqrt.f64 a))
✓9.1b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (/.f64 1/3 (sqrt.f64 a)))
Compiler

Compiled 29 to 17 computations (41.4% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

9 calls:

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

rewrite108.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1756×associate-*r/
1420×associate-*l/
660×associate-/r*
478×distribute-rgt-in
434×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
123840
2308340
Stop Event
1×node limit
Counts
2 → 205
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 a 1/3) rand) (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (sqrt.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 a rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 -1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 -1/3 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) rand)))))) (#(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 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (*.f64 rand 1/3)))))) (#(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 rand (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) 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 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 a) (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 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 (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 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 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 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (*.f64 (sqrt.f64 a) 3) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (/.f64 (sqrt.f64 a) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (/.f64 (neg.f64 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (/.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))) (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 rand)) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (*.f64 (sqrt.f64 a) 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1/3 (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (/.f64 (/.f64 1/27 a) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (/.f64 1/27 a) (sqrt.f64 a)) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 -1 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 a)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1/27 a) (sqrt.f64 a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 1/27 a) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 a))))))))

simplify117.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
946×times-frac
760×distribute-lft-neg-in
722×distribute-rgt-neg-in
720×associate-/r*
718×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05318529
114168401
262258389
Stop Event
1×node limit
Counts
217 → 295
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)) (*.f64 rand a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 a rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 -1/3 rand)))
(+.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3))
(+.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))
(+.f64 (*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))))
(+.f64 (*.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 -1/3 rand) (/.f64 1/3 (sqrt.f64 a))))
(+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(+.f64 (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))))) 1)
(/.f64 1/3 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) rand)))
(/.f64 (+.f64 a -1/3) (/.f64 (*.f64 (sqrt.f64 a) 3) rand))
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (*.f64 rand 1/3)))
(/.f64 rand (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)))
(/.f64 rand (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) 1/3)))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (*.f64 (sqrt.f64 a) 3))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))) 1)
(/.f64 1 (/.f64 (sqrt.f64 a) (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(/.f64 (sqrt.f64 rand) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 rand) (+.f64 a -1/3))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1/3)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (cbrt.f64 (+.f64 a -1/3)) rand)))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (cbrt.f64 rand) (+.f64 a -1/3))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (*.f64 (sqrt.f64 a) 3) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (/.f64 (sqrt.f64 a) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1/3)))
(/.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a))
(/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 -1/3 (/.f64 (neg.f64 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (/.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))) (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))))
(/.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 rand)) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 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 (+.f64 a -1/3) rand) (sqrt.f64 a)) 3)
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (*.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a 1/3)))
(/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (*.f64 (sqrt.f64 a) 3) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a 1/3))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (*.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (*.f64 (*.f64 (sqrt.f64 a) 3) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3)) (pow.f64 a 1/4))
(/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand -1/3)) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (pow.f64 a 1/4))) (pow.f64 a 1/4))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1) (neg.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (fma.f64 a a -1/9))) (+.f64 a 1/3))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 (pow.f64 a 3) -1/27))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (fma.f64 a a -1/9) rand)) (+.f64 a 1/3))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 1 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3)) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 1 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 a 1/3))
(/.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 1 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand))) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3)) (sqrt.f64 a))
(/.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3))) (pow.f64 a 1/4))
(/.f64 (*.f64 1 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3)))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 1 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))) (pow.f64 a 1/4))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2))) (cbrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 rand (/.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 rand (/.f64 1/3 (sqrt.f64 a))) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (neg.f64 (+.f64 (pow.f64 a 3) -1/27))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (sqrt.f64 a))
(/.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (/.f64 (sqrt.f64 a) 1))
(/.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1 (pow.f64 a 1/4))) (pow.f64 a 1/4))
(/.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1 (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) -1) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) 1) (sqrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 1/3)) (pow.f64 a 1/4))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 -1/3)) (sqrt.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (/.f64 1/9 a))) 1) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 1/3)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 -1/3)) (cbrt.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 a 1/4) rand)) 1/3) (pow.f64 a 1/4))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) rand)) 1/3) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.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 (pow.f64 a 3) -1/27)) (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) rand) (/.f64 1/3 (sqrt.f64 a))) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (/.f64 1/3 (pow.f64 a 1/4)) (*.f64 (+.f64 a -1/3) rand)) (pow.f64 a 1/4))
(/.f64 (*.f64 (/.f64 1/3 (cbrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 -1 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) 1) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (+.f64 a 1/3))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) 1) (sqrt.f64 a))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3)) 1) (pow.f64 a 1/4))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) 1) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) 1) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (sqrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))))) (pow.f64 a 1/4))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) (sqrt.f64 a))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) (sqrt.f64 a))) (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 1 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (sqrt.f64 1/3) (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))) (pow.f64 a 1/4))
(/.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2)))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))
(/.f64 (*.f64 (*.f64 rand -1/3) (+.f64 a -1/3)) (neg.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a)))) (cbrt.f64 a))
(/.f64 (/.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 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 a))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 1 1/2)) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)) (pow.f64 (cbrt.f64 a) 1/2))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) 1) (neg.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (pow.f64 a 1/4)) (neg.f64 (pow.f64 a 1/4)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (cbrt.f64 a)) (neg.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (sqrt.f64 (neg.f64 (sqrt.f64 a)))) (sqrt.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 a))) (cbrt.f64 (neg.f64 (sqrt.f64 a))))) (cbrt.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) -1) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (neg.f64 (pow.f64 a 1/4))) (pow.f64 a 1/4))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (neg.f64 (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (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 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.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 -1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (neg.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 a 1/4)) (neg.f64 (pow.f64 a 1/4)))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 a)) (neg.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (neg.f64 (sqrt.f64 a)))) (sqrt.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 a))) (cbrt.f64 (neg.f64 (sqrt.f64 a))))) (cbrt.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) -1) (sqrt.f64 a))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (pow.f64 a 1/4))) (pow.f64 a 1/4))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) 1) (sqrt.f64 a))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 a))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 1 1/2)) (sqrt.f64 a))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)) (pow.f64 (cbrt.f64 a) 1/2))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3)) 1) (pow.f64 a 1/4))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3)) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (pow.f64 a 1/4)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3)) (sqrt.f64 (pow.f64 a 1/4))) (sqrt.f64 (pow.f64 a 1/4)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3)) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) 1) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 a)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) (cbrt.f64 (pow.f64 a 1/4))) (cbrt.f64 (pow.f64 a 1/4)))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (cbrt.f64 (sqrt.f64 a))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) 1) (neg.f64 (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (pow.f64 a 1/4)) (neg.f64 (pow.f64 a 1/4)))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 a)) (neg.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (sqrt.f64 (neg.f64 (sqrt.f64 a)))) (sqrt.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 a))) (cbrt.f64 (neg.f64 (sqrt.f64 a))))) (cbrt.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) -1) (sqrt.f64 a))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (neg.f64 (pow.f64 a 1/4))) (pow.f64 a 1/4))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (neg.f64 (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(pow.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))) 1)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)
(sqrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (/.f64 (/.f64 1/27 a) (sqrt.f64 a))))
(cbrt.f64 (*.f64 (/.f64 (/.f64 1/27 a) (sqrt.f64 a)) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a)))) 1)
(*.f64 1/3 (pow.f64 a -1/2))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) 1)
(*.f64 1 (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/9 a)))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 -1/3 (/.f64 -1 (sqrt.f64 a)))
(*.f64 (pow.f64 a -1/2) 1/3)
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 -1 (sqrt.f64 a)) -1/3)
(pow.f64 (/.f64 1/3 (sqrt.f64 a)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 3)
(pow.f64 (/.f64 (/.f64 1/27 a) (sqrt.f64 a)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 a) 3) -1)
(sqrt.f64 (/.f64 1/9 a))
(log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 a)))))
(cbrt.f64 (/.f64 (/.f64 1/27 a) (sqrt.f64 a)))
(expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a))))
(exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 a))))
Outputs
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 a rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 -1/3 rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(+.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(+.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1/3) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(+.f64 (*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(+.f64 (*.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 -1/3 rand) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(+.f64 (*.f64 -1/3 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))))) 1)
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (+.f64 a -1/3) (/.f64 (*.f64 (sqrt.f64 a) 3) rand))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (*.f64 rand 1/3)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 rand (/.f64 (*.f64 (sqrt.f64 a) 3) (+.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 rand (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) 1/3)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (*.f64 (sqrt.f64 a) 3))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))) 1)
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 1 (/.f64 (sqrt.f64 a) (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 a) 3)) (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 (sqrt.f64 a) (/.f64 3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (sqrt.f64 rand) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 rand) (+.f64 a -1/3))))
(*.f64 (/.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 a) 3)) (*.f64 (+.f64 a -1/3) (sqrt.f64 rand)))
(*.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 rand)) (/.f64 (/.f64 (sqrt.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 (*.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (*.f64 rand (+.f64 a -1/3)))) (*.f64 (sqrt.f64 a) 3))
(/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1/3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 a)) (*.f64 1/3 (sqrt.f64 (*.f64 rand (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 (sqrt.f64 (*.f64 rand (+.f64 a -1/3)))) (/.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 a)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (cbrt.f64 (+.f64 a -1/3)) rand)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (+.f64 a -1/3))) (/.f64 3 rand)))
(*.f64 (*.f64 rand (cbrt.f64 (+.f64 a -1/3))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (cbrt.f64 rand) (+.f64 a -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (sqrt.f64 a) 3)) (*.f64 (+.f64 a -1/3) (cbrt.f64 rand)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 a)) (/.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 rand)) 3))
(/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 (*.f64 (sqrt.f64 a) 3) (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) (*.f64 (sqrt.f64 a) 3)) (pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 2) (/.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 2) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 (*.f64 rand (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 2) (*.f64 (sqrt.f64 a) 3)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (/.f64 (sqrt.f64 a) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 2) (sqrt.f64 a)) (*.f64 1/3 (cbrt.f64 (*.f64 rand (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 (cbrt.f64 (*.f64 rand (+.f64 a -1/3)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 2) (sqrt.f64 a)))
(/.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (neg.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) (*.f64 1/3 rand)) (sqrt.f64 a)))
(/.f64 -1/3 (/.f64 (neg.f64 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (/.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3)))) (sqrt.f64 a)) (sqrt.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a)))) (/.f64 (sqrt.f64 (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a)))) (sqrt.f64 a)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))) (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3)))) (cbrt.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))))) (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a)))) (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a)))))) (cbrt.f64 (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a)))))
(/.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 rand)) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 rand)))
(/.f64 (+.f64 a -1/3) (/.f64 (/.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 rand) 3)) (sqrt.f64 rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (*.f64 (sqrt.f64 a) 3) (cbrt.f64 rand)))
(/.f64 (+.f64 a -1/3) (/.f64 (/.f64 (sqrt.f64 a) (/.f64 (cbrt.f64 rand) 3)) (pow.f64 (cbrt.f64 rand) 2)))
(*.f64 (cbrt.f64 rand) (*.f64 (-.f64 (/.f64 a 3) 1/9) (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 a))))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 (sqrt.f64 a) 3) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 a) 3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 3) (/.f64 rand (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 rand (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 (sqrt.f64 a) (/.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 rand 3) (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)) 3)
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (*.f64 (sqrt.f64 a) 3))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.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 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (*.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 1/3 a)))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (sqrt.f64 a)) (/.f64 rand (*.f64 3 (fma.f64 a a (fma.f64 1/3 a 1/9)))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) (*.f64 1/3 rand)) (sqrt.f64 a)))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (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 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) 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 1/3 a)))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (sqrt.f64 a)) (/.f64 rand (*.f64 3 (fma.f64 a a (fma.f64 1/3 a 1/9)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3)) (pow.f64 a 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1) (/.f64 1 (+.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand -1/3)) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (pow.f64 a 1/4))) (pow.f64 a 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1) (neg.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (fma.f64 a a -1/9))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) (*.f64 1/3 rand)) (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 (pow.f64 a 3) -1/27))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (fma.f64 a a -1/9) rand)) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) (*.f64 1/3 rand)) (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 1 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3)) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 1 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) (*.f64 1/3 rand)) (sqrt.f64 a)))
(/.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 1 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand))) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3)) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 1 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3))) (pow.f64 a 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (*.f64 1 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3)))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (*.f64 1 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))) (pow.f64 a 1/4))
(/.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3)))) (/.f64 (pow.f64 a 1/4) (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a)))) (pow.f64 a 1/4)) (sqrt.f64 (*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2))) (cbrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (cbrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2))) (/.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a)))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2))))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) (*.f64 1/3 rand)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (*.f64 rand (/.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 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (neg.f64 a) -1/3) (neg.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (-.f64 -1/3 a)) (neg.f64 (fma.f64 a a -1/9)))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 rand (fma.f64 a a -1/9))) (sqrt.f64 a)) (-.f64 -1/3 a))
(/.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (neg.f64 (+.f64 (pow.f64 a 3) -1/27))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 (neg.f64 (pow.f64 a 3)) 1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(*.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (neg.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (-.f64 1/27 (pow.f64 a 3)))
(*.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a)))) (-.f64 1/27 (pow.f64 a 3)))
(/.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (/.f64 (sqrt.f64 a) 1))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1 (pow.f64 a 1/4))) (pow.f64 a 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1 (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) -1) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) 1) (sqrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (*.f64 (sqrt.f64 a) 3))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 1/3)) (pow.f64 a 1/4))
(/.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (/.f64 (pow.f64 a 1/4) (sqrt.f64 1/3)))
(/.f64 (sqrt.f64 1/3) (/.f64 (/.f64 (/.f64 (pow.f64 a 1/4) (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 -1/3)) (sqrt.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 a))) (sqrt.f64 -1/3)))
(*.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 (neg.f64 (sqrt.f64 a)))) (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (/.f64 1/9 a))) 1) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 1/3)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (/.f64 1/9 a))) (/.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 1/3)))
(*.f64 (/.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 1/3))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 -1/3)) (cbrt.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (/.f64 1/9 a))) (/.f64 (cbrt.f64 (neg.f64 (sqrt.f64 a))) (cbrt.f64 -1/3)))
(*.f64 (/.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 (neg.f64 (sqrt.f64 a)))) (cbrt.f64 -1/3))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 a 1/4) rand)) 1/3) (pow.f64 a 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) rand)) 1/3) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (neg.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (neg.f64 a) -1/3) (neg.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (-.f64 -1/3 a)) (neg.f64 (fma.f64 a a -1/9)))
(/.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 (pow.f64 a 3) -1/27)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 (neg.f64 (pow.f64 a 3)) 1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))))
(*.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (neg.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)))) (-.f64 1/27 (pow.f64 a 3)))
(*.f64 (/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 -1/9 (*.f64 a (-.f64 -1/3 a)))) (-.f64 1/27 (pow.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 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) (*.f64 1/3 rand)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.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) rand) (/.f64 1/3 (sqrt.f64 a))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) (*.f64 1/3 rand)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (/.f64 1/3 (sqrt.f64 a))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (/.f64 1/3 (pow.f64 a 1/4)) (*.f64 (+.f64 a -1/3) rand)) (pow.f64 a 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (*.f64 (/.f64 1/3 (cbrt.f64 a)) (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (*.f64 -1 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) 1) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) (*.f64 1/3 rand)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (*.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) 1) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3)) 1) (pow.f64 a 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) 1) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) 1) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (sqrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))))) (pow.f64 a 1/4))
(/.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3)))) (/.f64 (pow.f64 a 1/4) (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand (+.f64 a -1/3))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a)))) (pow.f64 a 1/4)) (sqrt.f64 (*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) (sqrt.f64 a))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 a) (*.f64 1/3 rand)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3)) (sqrt.f64 a))) (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 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 a) (*.f64 1/3 rand)))))
(*.f64 (/.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 (+.f64 a -1/3)) (/.f64 (sqrt.f64 a) rand)) 1/3))
(/.f64 (*.f64 1 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (*.f64 (sqrt.f64 a) 3)))
(/.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (*.f64 (sqrt.f64 a) 3))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 (*.f64 (sqrt.f64 1/3) (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))) (pow.f64 a 1/4))
(/.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (/.f64 (pow.f64 a 1/4) (sqrt.f64 1/3)))
(/.f64 (sqrt.f64 1/3) (/.f64 (/.f64 (/.f64 (pow.f64 a 1/4) (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (neg.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 a))) (sqrt.f64 -1/3)))
(*.f64 (/.f64 (sqrt.f64 -1/3) (sqrt.f64 (neg.f64 (sqrt.f64 a)))) (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2)))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (cbrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2))) (/.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a)))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2))))
(/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 rand -1/3) (+.f64 a -1/3)) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a)))) (cbrt.f64 a))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.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 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 a))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (*.f64 rand (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) (*.f64 (sqrt.f64 (cbrt.f64 a)) (fabs.f64 (cbrt.f64 a))))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 1 1/2)) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)) (pow.f64 (cbrt.f64 a) 1/2))
(/.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (*.f64 rand (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) (*.f64 (sqrt.f64 (cbrt.f64 a)) (fabs.f64 (cbrt.f64 a))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) 1) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (pow.f64 a 1/4)) (neg.f64 (pow.f64 a 1/4)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (cbrt.f64 a)) (neg.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (sqrt.f64 (neg.f64 (sqrt.f64 a)))) (sqrt.f64 (neg.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 a))) (cbrt.f64 (neg.f64 (sqrt.f64 a))))) (cbrt.f64 (neg.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) -1) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (neg.f64 (pow.f64 a 1/4))) (pow.f64 a 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3) (neg.f64 (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) (*.f64 1/3 rand)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) (*.f64 1/3 rand)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (+.f64 1/3 a) (*.f64 1/3 rand)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (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 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.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 1/3 rand) (sqrt.f64 a)) (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 (pow.f64 a 3) -1/27)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 1/3 a 1/9))))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 a 1/4)) (neg.f64 (pow.f64 a 1/4)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 a)) (neg.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (neg.f64 (sqrt.f64 a)))) (sqrt.f64 (neg.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 a))) (cbrt.f64 (neg.f64 (sqrt.f64 a))))) (cbrt.f64 (neg.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) -1) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (pow.f64 a 1/4))) (pow.f64 a 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (/.f64 (*.f64 -1/3 (*.f64 (+.f64 a -1/3) rand)) (neg.f64 (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) 1) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 a))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (*.f64 rand (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) (*.f64 (sqrt.f64 (cbrt.f64 a)) (fabs.f64 (cbrt.f64 a))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 1 1/2)) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)) (pow.f64 (cbrt.f64 a) 1/2))
(/.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (*.f64 rand (+.f64 a -1/3)))) (sqrt.f64 (cbrt.f64 a)))
(/.f64 (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) (*.f64 (sqrt.f64 (cbrt.f64 a)) (fabs.f64 (cbrt.f64 a))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3)) 1) (pow.f64 a 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3)) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (pow.f64 a 1/4)))
(/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (/.f64 (pow.f64 a 1/4) 1/3) rand)) (*.f64 (cbrt.f64 (pow.f64 a 1/4)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (pow.f64 a 1/4))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (pow.f64 a 1/4)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3)) (sqrt.f64 (pow.f64 a 1/4))) (sqrt.f64 (pow.f64 a 1/4)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (pow.f64 a 1/4) 1/3)) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (/.f64 (pow.f64 a 1/4) 1/3) rand)) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 a))) (sqrt.f64 (cbrt.f64 a))))
(*.f64 (/.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (sqrt.f64 (cbrt.f64 (sqrt.f64 a)))) (/.f64 1/3 (sqrt.f64 (cbrt.f64 a))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) 1) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) (sqrt.f64 (cbrt.f64 (sqrt.f64 a)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) (cbrt.f64 (pow.f64 a 1/4))) (cbrt.f64 (pow.f64 a 1/4)))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 a)) (*.f64 1/3 rand)) (*.f64 (cbrt.f64 (pow.f64 a 1/4)) (cbrt.f64 (pow.f64 a 1/4))))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 a)) (cbrt.f64 (pow.f64 a 1/4))) (/.f64 (*.f64 1/3 rand) (cbrt.f64 (pow.f64 a 1/4))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (cbrt.f64 (sqrt.f64 a))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) (*.f64 rand 1/3))) (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 a)) (*.f64 1/3 rand)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (cbrt.f64 a))))
(*.f64 (/.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 (sqrt.f64 a)))) (/.f64 (*.f64 1/3 rand) (cbrt.f64 (cbrt.f64 a))))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) 1) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (pow.f64 a 1/4)) (neg.f64 (pow.f64 a 1/4)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (cbrt.f64 a)) (neg.f64 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (sqrt.f64 (neg.f64 (sqrt.f64 a)))) (sqrt.f64 (neg.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 a))) (cbrt.f64 (neg.f64 (sqrt.f64 a))))) (cbrt.f64 (neg.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) -1) (sqrt.f64 a))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (neg.f64 (pow.f64 a 1/4))) (pow.f64 a 1/4))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (pow.f64 a 1/4))) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (neg.f64 (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (+.f64 a -1/3) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 (cbrt.f64 a) (*.f64 1/3 rand))))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 a))))
(pow.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))) 1)
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))) 2)
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))) 3)
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(sqrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2)))
(sqrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a))) 3))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (/.f64 (/.f64 1/27 a) (sqrt.f64 a))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3) (/.f64 1/27 (*.f64 (sqrt.f64 a) a))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3) (/.f64 1/27 (*.f64 a (sqrt.f64 a)))))
(cbrt.f64 (*.f64 (/.f64 (/.f64 1/27 a) (sqrt.f64 a)) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3) (/.f64 1/27 (*.f64 (sqrt.f64 a) a))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3) (/.f64 1/27 (*.f64 a (sqrt.f64 a)))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))) 1))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a)))) 1)
(/.f64 1/3 (sqrt.f64 a))
(*.f64 1/3 (pow.f64 a -1/2))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) 1)
(/.f64 1/3 (sqrt.f64 a))
(*.f64 1 (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (sqrt.f64 a))
(*.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 1/3 (sqrt.f64 a))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/9 a)))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 -1/3 (/.f64 -1 (sqrt.f64 a)))
(/.f64 1/3 (sqrt.f64 a))
(*.f64 (pow.f64 a -1/2) 1/3)
(*.f64 1/3 (pow.f64 a -1/2))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(*.f64 (/.f64 1/3 (pow.f64 a 1/4)) (/.f64 1 (pow.f64 a 1/4)))
(/.f64 (/.f64 1/3 (pow.f64 a 1/4)) (pow.f64 a 1/4))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 1/3 (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (/.f64 -1 (sqrt.f64 a)) -1/3)
(/.f64 1/3 (sqrt.f64 a))
(pow.f64 (/.f64 1/3 (sqrt.f64 a)) 1)
(/.f64 1/3 (sqrt.f64 a))
(pow.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) 2)
(/.f64 1/3 (sqrt.f64 a))
(pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 3)
(/.f64 1/3 (sqrt.f64 a))
(pow.f64 (/.f64 (/.f64 1/27 a) (sqrt.f64 a)) 1/3)
(cbrt.f64 (/.f64 1/27 (*.f64 (sqrt.f64 a) a)))
(cbrt.f64 (/.f64 1/27 (*.f64 a (sqrt.f64 a))))
(pow.f64 (*.f64 (sqrt.f64 a) 3) -1)
(/.f64 1/3 (sqrt.f64 a))
(sqrt.f64 (/.f64 1/9 a))
(log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 1/3 (sqrt.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 1/3 (sqrt.f64 a))
(cbrt.f64 (/.f64 (/.f64 1/27 a) (sqrt.f64 a)))
(cbrt.f64 (/.f64 1/27 (*.f64 (sqrt.f64 a) a)))
(cbrt.f64 (/.f64 1/27 (*.f64 a (sqrt.f64 a))))
(expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 1/3 (sqrt.f64 a))
(exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 1/3 (sqrt.f64 a))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1))
(/.f64 1/3 (sqrt.f64 a))
(log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 a))))
(/.f64 1/3 (sqrt.f64 a))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 a -1/3) rand)
✓0.4b
(/.f64 (sqrt.f64 a) 1/3)
✓9.1b
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 a) 1/3))
Compiler

Compiled 30 to 18 computations (40% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

15 calls:

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

rewrite81.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
958×associate-/r/
884×swap-sqr
830×associate-/l/
566×distribute-rgt-in
534×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01253
126353
2357053
Stop Event
1×node limit
Counts
3 → 168
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 a) 1/3))
(/.f64 (sqrt.f64 a) 1/3)
(*.f64 (+.f64 a -1/3) rand)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 a rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 -1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 -1/3 rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 a rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 -1/3 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/3 rand) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (/.f64 -1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 (+.f64 a -1/3) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (*.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (/.f64 (+.f64 a -1/3) (sqrt.f64 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 a))) (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (neg.f64 (sqrt.f64 a))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 rand 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (/.f64 rand (sqrt.f64 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 a)) (/.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand 1) (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (/.f64 (+.f64 a -1/3) (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)) 1/3) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) (neg.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (neg.f64 (sqrt.f64 a))) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) -3)) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 rand) 1/3))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (*.f64 (pow.f64 (cbrt.f64 rand) 2) 1/3))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) -1) (/.f64 -1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 (*.f64 a 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 a) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 1/3))) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (*.f64 a 9)) rand)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (sqrt.f64 (*.f64 a 9)) rand)) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (sqrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) -1) (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))) (sqrt.f64 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/4) (*.f64 (pow.f64 a 1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a 9)) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 a 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (sqrt.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 a)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) -3)) (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 a) -3))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sqrt.f64 a) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 a 9))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1/3 (pow.f64 a 1/4))) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1/3 (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a 1/4) 1/3) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 a) 1/3) (cbrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) -3))) (sqrt.f64 (*.f64 (sqrt.f64 a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.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 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))))) (sqrt.f64 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 a 9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 a) -3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sqrt.f64 a) -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 a 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 a 9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a 9))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand -1/3) (*.f64 rand a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand a) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a rand) (*.f64 -1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 rand) (*.f64 a rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 rand -1/3)) (*.f64 1 (*.f64 rand a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 rand a)) (*.f64 1 (*.f64 rand -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 a rand)) (*.f64 1 (*.f64 -1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 -1/3 rand)) (*.f64 1 (*.f64 a rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand -1/3) 1) (*.f64 (*.f64 rand a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand a) 1) (*.f64 (*.f64 rand -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a rand) 1) (*.f64 (*.f64 -1/3 rand) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/3 rand) 1) (*.f64 (*.f64 a rand) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) rand) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) rand)))))))

simplify93.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
802×distribute-lft-neg-in
748×distribute-rgt-neg-in
674×associate-*r*
628×associate-/l*
606×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03945048
110124968
250174968
Stop Event
1×node limit
Counts
204 → 216
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 -1/3 rand)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 a rand)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 a rand)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand a)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 a rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 -1/3 rand)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 -1/3 rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 a rand)))
(+.f64 (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a))))
(+.f64 (*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))))
(+.f64 (*.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 -1/3 rand) (/.f64 1/3 (sqrt.f64 a))))
(+.f64 (*.f64 (*.f64 -1/3 rand) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))))) 1)
(*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))
(*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))) 1)
(*.f64 1 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) 1/3)
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))
(*.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (/.f64 -1/3 (sqrt.f64 a)))
(*.f64 (/.f64 1 (sqrt.f64 a)) (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3))
(*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 (+.f64 a -1/3) rand) 3))
(*.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (*.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) (+.f64 a -1/3))
(*.f64 (/.f64 rand (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (/.f64 (+.f64 a -1/3) (sqrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 a))) (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3))
(*.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) rand)
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (neg.f64 (sqrt.f64 a))) -1/3)
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand) (+.f64 a -1/3))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 rand 3))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (*.f64 rand 1/3))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (/.f64 rand (sqrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 rand (sqrt.f64 a)) (/.f64 (+.f64 a -1/3) 3))
(*.f64 (/.f64 rand 1) (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (/.f64 (+.f64 a -1/3) (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)) 1/3))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)) 1/3) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(*.f64 (/.f64 -1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) (neg.f64 rand)))
(*.f64 (/.f64 (+.f64 a -1/3) (neg.f64 (sqrt.f64 a))) (*.f64 rand -1/3))
(*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) -3)) (neg.f64 rand))
(*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 rand) 1/3))) (sqrt.f64 rand))
(*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (*.f64 (pow.f64 (cbrt.f64 rand) 2) 1/3))) (cbrt.f64 rand))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) -1) (/.f64 -1/3 (sqrt.f64 a)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (*.f64 a 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 a) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 1/3))) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (*.f64 a 9)) rand)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (sqrt.f64 (*.f64 a 9)) rand)) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (sqrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) -1) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (sqrt.f64 a)) -1/3)
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) 1) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (pow.f64 a 1/4)) (sqrt.f64 1/3))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (neg.f64 (sqrt.f64 a)))) (sqrt.f64 -1/3))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (*.f64 a 9))) 1) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 1/3))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (neg.f64 (sqrt.f64 a)))) (cbrt.f64 -1/3))
(pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) (/.f64 rand 3))) -1)
(neg.f64 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) -1/3))
(neg.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 -1/3 (sqrt.f64 a))))
(neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) -1/3) 1))
(neg.f64 (*.f64 1 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) -1/3)))
(neg.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (*.f64 rand -1/3))))
(neg.f64 (/.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9)))
(log.f64 (exp.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (sqrt.f64 (*.f64 a 9)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a 9)))) 1)
(*.f64 (sqrt.f64 a) 3)
(*.f64 (sqrt.f64 (*.f64 a 9)) 1)
(*.f64 1 (sqrt.f64 (*.f64 a 9)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))) (sqrt.f64 (sqrt.f64 (*.f64 a 9))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))))))
(*.f64 (pow.f64 a 1/4) (*.f64 (pow.f64 a 1/4) 3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 a 9)))
(*.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))
(*.f64 (cbrt.f64 (*.f64 a 9)) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 a 9))))))
(*.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (sqrt.f64 a)) 3))
(*.f64 3 (sqrt.f64 a))
(*.f64 (neg.f64 (sqrt.f64 a)) -3)
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) -3)) (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) -3))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 a) -3))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3))))
(*.f64 -1 (*.f64 (sqrt.f64 a) -3))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 a 9))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 -3 (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 a))) 3)
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 1 (/.f64 1/3 (pow.f64 a 1/4))) (pow.f64 a 1/4))
(*.f64 (/.f64 1 (/.f64 1/3 (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 a 1/4) 1/3) (pow.f64 a 1/4))
(*.f64 (/.f64 (cbrt.f64 a) 1/3) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) -3))) (sqrt.f64 (*.f64 (sqrt.f64 a) -3)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))))) (sqrt.f64 (sqrt.f64 (*.f64 a 9))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))
(pow.f64 (sqrt.f64 (*.f64 a 9)) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a 9))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 a 9)) 3) 1/3)
(pow.f64 (/.f64 1/3 (sqrt.f64 a)) -1)
(neg.f64 (*.f64 (sqrt.f64 a) -3))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 a) -3) 1))
(sqrt.f64 (*.f64 a 9))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 a 9))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a 9)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 a 9)) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a 9))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 a 9))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a 9))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a 9))))
(+.f64 (*.f64 rand -1/3) (*.f64 rand a))
(+.f64 (*.f64 rand a) (*.f64 rand -1/3))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 -1/3 rand) (*.f64 a rand))
(+.f64 (*.f64 1 (*.f64 rand -1/3)) (*.f64 1 (*.f64 rand a)))
(+.f64 (*.f64 1 (*.f64 rand a)) (*.f64 1 (*.f64 rand -1/3)))
(+.f64 (*.f64 1 (*.f64 a rand)) (*.f64 1 (*.f64 -1/3 rand)))
(+.f64 (*.f64 1 (*.f64 -1/3 rand)) (*.f64 1 (*.f64 a rand)))
(+.f64 (*.f64 (*.f64 rand -1/3) 1) (*.f64 (*.f64 rand a) 1))
(+.f64 (*.f64 (*.f64 rand a) 1) (*.f64 (*.f64 rand -1/3) 1))
(+.f64 (*.f64 (*.f64 a rand) 1) (*.f64 (*.f64 -1/3 rand) 1))
(+.f64 (*.f64 (*.f64 -1/3 rand) 1) (*.f64 (*.f64 a rand) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand))) 1)
(/.f64 (*.f64 (+.f64 a -1/3) rand) 1)
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) rand) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) rand) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) 1/3)
(neg.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) rand))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 rand 3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand)))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) rand)))
Outputs
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))))
(*.f64 -1/3 rand)
(*.f64 rand -1/3)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
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(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 a rand)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
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(*.f64 rand (+.f64 a -1/3))
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(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand a)))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand a)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 rand -1/3)))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 a rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 -1/3 rand)))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 -1/3 rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 a rand)))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(+.f64 (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(+.f64 (*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 rand -1/3) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(+.f64 (*.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 -1/3 rand) (/.f64 1/3 (sqrt.f64 a))))
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(+.f64 (*.f64 (*.f64 -1/3 rand) (/.f64 1/3 (sqrt.f64 a))) (*.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))))) 1)
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 (+.f64 a -1/3) (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))) 1)
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 1 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2) (*.f64 a 9))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2) (*.f64 a 9))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2) (*.f64 a 9))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2) (*.f64 a 9))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) 1/3)
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (/.f64 -1/3 (sqrt.f64 a)))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 1 (sqrt.f64 a)) (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 (+.f64 a -1/3) rand) 3))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (sqrt.f64 (*.f64 a 9))))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (*.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (*.f64 (+.f64 a -1/3) (*.f64 rand (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (+.f64 a -1/3) (/.f64 rand (cbrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (pow.f64 a 1/4) rand)) (/.f64 1/3 (pow.f64 a 1/4)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 3 (pow.f64 a 1/2)))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (cbrt.f64 a) rand)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 rand (/.f64 (cbrt.f64 a) (+.f64 a -1/3))) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 rand (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (/.f64 (+.f64 a -1/3) (sqrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 a))) (*.f64 (*.f64 (+.f64 a -1/3) rand) -1/3))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) rand)
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (neg.f64 (sqrt.f64 a))) -1/3)
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) rand) (+.f64 a -1/3))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 rand 3))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (*.f64 rand 1/3))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (/.f64 rand (sqrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (/.f64 (+.f64 a -1/3) (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 rand (sqrt.f64 a)) (/.f64 (+.f64 a -1/3) 3))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 rand 1) (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (/.f64 (+.f64 a -1/3) (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)) 1/3))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)) 1/3) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (/.f64 (+.f64 a -1/3) (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (*.f64 a 9))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 2) (cbrt.f64 (*.f64 a 9))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 2) (/.f64 (cbrt.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))) (cbrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 -1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) (neg.f64 rand)))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 a -1/3) (neg.f64 (sqrt.f64 a))) (*.f64 rand -1/3))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) -3)) (neg.f64 rand))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 rand) 1/3))) (sqrt.f64 rand))
(*.f64 (sqrt.f64 rand) (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (*.f64 1/3 (sqrt.f64 rand)))))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (*.f64 (*.f64 1/3 (sqrt.f64 rand)) (sqrt.f64 rand)))
(*.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (*.f64 (pow.f64 (cbrt.f64 rand) 2) 1/3))) (cbrt.f64 rand))
(*.f64 (cbrt.f64 rand) (/.f64 (+.f64 a -1/3) (/.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 rand) 2)) 1/3)))
(/.f64 (+.f64 a -1/3) (/.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand)))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) -1) (/.f64 -1/3 (sqrt.f64 a)))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (*.f64 a 9)) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)))) (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 a) (*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 1/3))) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (*.f64 a 9)) rand)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (sqrt.f64 (*.f64 a 9)) rand)) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (sqrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) -1) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (sqrt.f64 a)) -1/3)
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) 1) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (pow.f64 a 1/4)) (sqrt.f64 1/3))
(*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (/.f64 (pow.f64 a 1/4) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 1/3))
(*.f64 (*.f64 (/.f64 rand (/.f64 (pow.f64 a 1/4) (+.f64 a -1/3))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 1/3))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (neg.f64 (sqrt.f64 a)))) (sqrt.f64 -1/3))
(*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (/.f64 (sqrt.f64 (neg.f64 (sqrt.f64 a))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 -1/3))
(*.f64 (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (neg.f64 (sqrt.f64 a)))) (sqrt.f64 (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 -1/3))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (*.f64 a 9))) 1) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (*.f64 (+.f64 a -1/3) (*.f64 rand (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (+.f64 a -1/3) (/.f64 rand (cbrt.f64 (*.f64 a 9)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 1/3))
(*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 1/3))
(*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (sqrt.f64 a)))) (cbrt.f64 1/3))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (neg.f64 (sqrt.f64 a)))) (cbrt.f64 -1/3))
(*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 a))) (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 -1/3))
(*.f64 (/.f64 rand (/.f64 (*.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (neg.f64 (sqrt.f64 a)))) (+.f64 a -1/3))) (cbrt.f64 -1/3))
(pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))) 1)
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) 2)
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) 3)
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))) 3) 1/3)
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(pow.f64 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) (/.f64 rand 3))) -1)
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(neg.f64 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) -1/3))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(neg.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 -1/3 (sqrt.f64 a))))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(neg.f64 (*.f64 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) -1/3) 1))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(neg.f64 (*.f64 1 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a))) -1/3)))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(neg.f64 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (*.f64 rand -1/3))))
(*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))
(neg.f64 (/.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (sqrt.f64 (*.f64 a 9))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2) (*.f64 a 9)))
(log.f64 (exp.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9)))) 3))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (sqrt.f64 (*.f64 a 9)) 3)))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))) 1))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (*.f64 a 9))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a 9)))) 1)
(sqrt.f64 (*.f64 a 9))
(*.f64 (sqrt.f64 a) 3)
(*.f64 (sqrt.f64 (*.f64 a 9)) 1)
(sqrt.f64 (*.f64 a 9))
(*.f64 1 (sqrt.f64 (*.f64 a 9)))
(sqrt.f64 (*.f64 a 9))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))) (sqrt.f64 (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (*.f64 a 9))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))))))
(sqrt.f64 (*.f64 a 9))
(*.f64 (pow.f64 a 1/4) (*.f64 (pow.f64 a 1/4) 3))
(*.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 a 1/4)) 3)
(*.f64 3 (pow.f64 a 1/2))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 a 9)))
(*.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))
(*.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))
(*.f64 (cbrt.f64 (*.f64 a 9)) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 a 9))))))
(*.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))
(*.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (sqrt.f64 a)) 3))
(*.f64 (cbrt.f64 a) (*.f64 3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 3 (*.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a))))
(*.f64 3 (sqrt.f64 a))
(*.f64 (sqrt.f64 a) 3)
(*.f64 (neg.f64 (sqrt.f64 a)) -3)
(*.f64 (sqrt.f64 a) 3)
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) -3)) (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) -3))))
(*.f64 (sqrt.f64 a) 3)
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 a) -3))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3))))
(*.f64 (sqrt.f64 a) 3)
(*.f64 -1 (*.f64 (sqrt.f64 a) -3))
(*.f64 (sqrt.f64 a) 3)
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9)))) (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9)))))
(sqrt.f64 (*.f64 a 9))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 a 9))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 a 9)))))
(*.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))
(*.f64 -3 (neg.f64 (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) 3)
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 a))) 3)
(*.f64 (sqrt.f64 a) 3)
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))
(*.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 1 (/.f64 1/3 (pow.f64 a 1/4))) (pow.f64 a 1/4))
(*.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 a 1/4)) 3)
(*.f64 3 (pow.f64 a 1/2))
(*.f64 (/.f64 1 (/.f64 1/3 (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (cbrt.f64 a) (*.f64 3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 3 (*.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (pow.f64 a 1/4) 1/3) (pow.f64 a 1/4))
(*.f64 (*.f64 (pow.f64 a 1/4) (pow.f64 a 1/4)) 3)
(*.f64 3 (pow.f64 a 1/2))
(*.f64 (/.f64 (cbrt.f64 a) 1/3) (cbrt.f64 (sqrt.f64 a)))
(/.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a))) 1/3)
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) -3))) (sqrt.f64 (*.f64 (sqrt.f64 a) -3)))
(*.f64 (sqrt.f64 a) 3)
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) -3)) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))) (cbrt.f64 (*.f64 (sqrt.f64 a) -3)))
(*.f64 (sqrt.f64 a) 3)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))))) (sqrt.f64 (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (*.f64 a 9))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 a 9)))) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))
(*.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (sqrt.f64 (*.f64 a 9))))
(pow.f64 (sqrt.f64 (*.f64 a 9)) 1)
(sqrt.f64 (*.f64 a 9))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 a 9))) 2)
(sqrt.f64 (*.f64 a 9))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a 9))) 3)
(sqrt.f64 (*.f64 a 9))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 a 9)) 3) 1/3)
(sqrt.f64 (*.f64 a 9))
(pow.f64 (/.f64 1/3 (sqrt.f64 a)) -1)
(*.f64 (sqrt.f64 a) 3)
(neg.f64 (*.f64 (sqrt.f64 a) -3))
(*.f64 (sqrt.f64 a) 3)
(neg.f64 (/.f64 (*.f64 (sqrt.f64 a) -3) 1))
(*.f64 (sqrt.f64 a) 3)
(sqrt.f64 (*.f64 a 9))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (*.f64 a 9))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a 9)))))
(sqrt.f64 (*.f64 a 9))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 a 9)) 3))
(sqrt.f64 (*.f64 a 9))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (*.f64 a 9))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (*.f64 a 9))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a 9))) 1))
(sqrt.f64 (*.f64 a 9))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a 9))))
(sqrt.f64 (*.f64 a 9))
(+.f64 (*.f64 rand -1/3) (*.f64 rand a))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 rand a) (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 -1/3 rand) (*.f64 a rand))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 1 (*.f64 rand -1/3)) (*.f64 1 (*.f64 rand a)))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 1 (*.f64 rand a)) (*.f64 1 (*.f64 rand -1/3)))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 1 (*.f64 a rand)) (*.f64 1 (*.f64 -1/3 rand)))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 1 (*.f64 -1/3 rand)) (*.f64 1 (*.f64 a rand)))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 (*.f64 rand -1/3) 1) (*.f64 (*.f64 rand a) 1))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 (*.f64 rand a) 1) (*.f64 (*.f64 rand -1/3) 1))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 (*.f64 a rand) 1) (*.f64 (*.f64 -1/3 rand) 1))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 (*.f64 -1/3 rand) 1) (*.f64 (*.f64 a rand) 1))
(*.f64 rand (+.f64 a -1/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand))) 1)
(*.f64 rand (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) rand) 1)
(*.f64 rand (+.f64 a -1/3))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 rand (/.f64 (+.f64 1/3 a) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) rand)
(/.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 rand (/.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (fma.f64 a (+.f64 1/3 a) 1/9) rand))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3))
(/.f64 rand (/.f64 (+.f64 1/3 a) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) rand)
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) rand) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 rand (/.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (fma.f64 a (+.f64 1/3 a) 1/9) rand))
(pow.f64 (*.f64 (+.f64 a -1/3) rand) 1)
(*.f64 rand (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)
(*.f64 rand (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3)
(*.f64 rand (+.f64 a -1/3))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) 1/3)
(*.f64 rand (+.f64 a -1/3))
(neg.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)))
(*.f64 rand (+.f64 a -1/3))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2))
(sqrt.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2))
(fabs.f64 (*.f64 rand (+.f64 a -1/3)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) rand))
(*.f64 rand (+.f64 a -1/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) rand))))
(*.f64 rand (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3))
(*.f64 rand (+.f64 a -1/3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 rand 3)))
(*.f64 rand (+.f64 a -1/3))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3)))
(*.f64 rand (+.f64 a -1/3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 rand (+.f64 a -1/3))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 rand (+.f64 a -1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1))
(*.f64 rand (+.f64 a -1/3))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 rand (+.f64 a -1/3))

eval370.0ms (3.7%)

Compiler

Compiled 18745 to 12828 computations (31.6% saved)

prune233.0ms (2.4%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New110071107
Fresh112
Picked101
Done4711
Total1106151121
Error
0b
Counts
1121 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
42.8b
(/.f64 (+.f64 a -1/3) (/.f64 (*.f64 (sqrt.f64 a) 3) rand))
42.8b
(/.f64 rand (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) 1/3)))
✓0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
✓21.3b
(-.f64 a 1/3)
✓0.2b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
✓0.2b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
42.8b
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
48.9b
(*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a)))
✓41.9b
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
✓42.0b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
42.8b
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
✓42.0b
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
42.8b
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
42.8b
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
21.7b
a
Compiler

Compiled 154 to 118 computations (23.4% saved)

regimes66.0ms (0.7%)

Counts
30 → 1
Calls
Call 1
Inputs
a
(-.f64 a 1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
(*.f64 1/3 (sqrt.f64 (*.f64 (*.f64 rand a) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
(*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a)))
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (/.f64 1/3 (sqrt.f64 a)))
(/.f64 rand (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) 1/3)))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 a) 1/3))
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (*.f64 a 9)) rand))
(/.f64 (+.f64 a -1/3) (/.f64 (*.f64 (sqrt.f64 a) 3) rand))
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 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 (sqrt.f64 (+.f64 a -1/3))) 3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(*.f64 (*.f64 (/.f64 rand (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.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 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)))
Outputs
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
Calls

4 calls:

15.0ms
(-.f64 a (/.f64 1 3))
14.0ms
a
14.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
14.0ms
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 342 to 242 computations (29.2% saved)

regimes91.0ms (0.9%)

Counts
22 → 3
Calls
Call 1
Inputs
a
(-.f64 a 1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
(*.f64 1/3 (sqrt.f64 (*.f64 (*.f64 rand a) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
(*.f64 (*.f64 rand a) (/.f64 1/3 (sqrt.f64 a)))
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 1/3 (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (/.f64 1/3 (sqrt.f64 a)))
(/.f64 rand (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) 1/3)))
(/.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 (sqrt.f64 a) 1/3))
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (*.f64 a 9)) rand))
(/.f64 (+.f64 a -1/3) (/.f64 (*.f64 (sqrt.f64 a) 3) rand))
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
Outputs
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(-.f64 a 1/3)
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
Calls

2 calls:

56.0ms
a
30.0ms
rand
Results
ErrorSegmentsBranch
14.7b6a
4.8b3rand
Compiler

Compiled 188 to 118 computations (37.2% saved)

bsearch33.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
4.285721190554373e+75
3.559175175354747e+78
14.0ms
-3.447555478059639e+69
-3.216437895230028e+68
Results
29.0ms224×body256valid
Compiler

Compiled 265 to 219 computations (17.4% saved)

regimes53.0ms (0.5%)

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

2 calls:

35.0ms
a
16.0ms
rand
Results
ErrorSegmentsBranch
14.7b6a
4.8b3rand
Compiler

Compiled 72 to 46 computations (36.1% saved)

bsearch32.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
4.285721190554373e+75
3.559175175354747e+78
14.0ms
-3.447555478059639e+69
-3.216437895230028e+68
Results
29.0ms224×body256valid
Compiler

Compiled 265 to 219 computations (17.4% saved)

regimes48.0ms (0.5%)

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

2 calls:

30.0ms
a
16.0ms
rand
Results
ErrorSegmentsBranch
14.7b6a
4.8b3rand
Compiler

Compiled 64 to 40 computations (37.5% saved)

bsearch32.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
4.285721190554373e+75
3.559175175354747e+78
14.0ms
-3.447555478059639e+69
-3.216437895230028e+68
Results
29.0ms224×body256valid
Compiler

Compiled 265 to 219 computations (17.4% saved)

regimes45.0ms (0.4%)

Counts
8 → 3
Calls
Call 1
Inputs
a
(-.f64 a 1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
(*.f64 1/3 (sqrt.f64 (*.f64 (*.f64 rand a) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (/.f64 rand (/.f64 (sqrt.f64 a) a)))
(*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
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:

28.0ms
a
15.0ms
rand
Results
ErrorSegmentsBranch
14.7b6a
4.8b3rand
Compiler

Compiled 56 to 34 computations (39.3% saved)

bsearch33.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
4.285721190554373e+75
3.559175175354747e+78
14.0ms
-3.447555478059639e+69
-3.216437895230028e+68
Results
29.0ms224×body256valid
Compiler

Compiled 265 to 219 computations (17.4% saved)

regimes33.0ms (0.3%)

Counts
5 → 3
Calls
Call 1
Inputs
a
(-.f64 a 1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
(*.f64 1/3 (sqrt.f64 (*.f64 (*.f64 rand a) rand)))
Outputs
(*.f64 (*.f64 (sqrt.f64 a) rand) 1/3)
(-.f64 a 1/3)
(*.f64 (sqrt.f64 a) (*.f64 rand 1/3))
Calls

2 calls:

19.0ms
a
12.0ms
rand
Results
ErrorSegmentsBranch
15.9b5a
5.3b3rand
Compiler

Compiled 32 to 20 computations (37.5% saved)

bsearch33.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
4.285721190554373e+75
3.559175175354747e+78
14.0ms
-3.447555478059639e+69
-3.216437895230028e+68
Results
29.0ms224×body256valid
Compiler

Compiled 237 to 191 computations (19.4% saved)

regimes26.0ms (0.3%)

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

2 calls:

15.0ms
a
10.0ms
rand
Results
ErrorSegmentsBranch
15.9b5a
5.4b3rand
Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch32.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
4.285721190554373e+75
3.559175175354747e+78
14.0ms
-3.447555478059639e+69
-3.216437895230028e+68
Results
29.0ms224×body256valid
Compiler

Compiled 237 to 191 computations (19.4% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.4b remaining (-1.7%)

Threshold costs -0.4b (-1.7%)

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

2 calls:

3.0ms
a
3.0ms
rand
Results
ErrorSegmentsBranch
21.3b1a
21.3b1rand
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
22×*-commutative
8×+-commutative
6×if-if-or-not
4×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071403
1101403
2102403
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(if (<=.f64 rand -900000000000000065278292743376311613542536968681869759966389139931136) (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand) (if (<=.f64 rand 299999999999999981979279463591835365907546195412746872484301410391090779914240) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)))
(if (<=.f64 rand -2000000000000000145062872763058470252316748819293043911036420310958080) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 7499999999999999549481986589795884147688654885318671812107535259777269497856) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))
(if (<=.f64 rand -1100000000000000079784580019682158638774211850611174151070031171026944) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 10799999999999999929751756622542572367778016277677424317427928535884688785408) (-.f64 a 1/3) (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(if (<=.f64 rand -1200000000000000087037723657835082151390049291575826346621852186574848) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 6800000000000000223592631916617776673742803416879552768377342856763239563264) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -2500000000000000181328590953823087815395936024116304888795525388697600) (*.f64 (*.f64 (sqrt.f64 a) rand) 1/3) (if (<=.f64 rand 7999999999999999412318249411849591388070425721595743098101171358242898444288) (-.f64 a 1/3) (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))))
(if (<=.f64 rand -2799999999999999819964136651809643763656691559432965570766207889440768) (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)) (if (<=.f64 rand 36999999999999999491511714385915989040023595931478890296747033983213553844224) (-.f64 a 1/3) (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))))
(-.f64 a 1/3)
a
Outputs
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) -1/3)
(if (<=.f64 rand -900000000000000065278292743376311613542536968681869759966389139931136) (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand) (if (<=.f64 rand 299999999999999981979279463591835365907546195412746872484301410391090779914240) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)))
(if (or (<=.f64 rand -900000000000000065278292743376311613542536968681869759966389139931136) (not (<=.f64 rand 299999999999999981979279463591835365907546195412746872484301410391090779914240))) (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (+.f64 a -1/3))
(if (<=.f64 rand -2000000000000000145062872763058470252316748819293043911036420310958080) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 7499999999999999549481986589795884147688654885318671812107535259777269497856) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))
(if (<=.f64 rand -2000000000000000145062872763058470252316748819293043911036420310958080) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (if (<=.f64 rand 7499999999999999549481986589795884147688654885318671812107535259777269497856) (+.f64 a -1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))
(if (<=.f64 rand -1100000000000000079784580019682158638774211850611174151070031171026944) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 10799999999999999929751756622542572367778016277677424317427928535884688785408) (-.f64 a 1/3) (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(if (<=.f64 rand -1100000000000000079784580019682158638774211850611174151070031171026944) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (if (<=.f64 rand 10799999999999999929751756622542572367778016277677424317427928535884688785408) (+.f64 a -1/3) (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(if (<=.f64 rand -1200000000000000087037723657835082151390049291575826346621852186574848) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 6800000000000000223592631916617776673742803416879552768377342856763239563264) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (or (<=.f64 rand -1200000000000000087037723657835082151390049291575826346621852186574848) (not (<=.f64 rand 6800000000000000223592631916617776673742803416879552768377342856763239563264))) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (+.f64 a -1/3))
(if (<=.f64 rand -2500000000000000181328590953823087815395936024116304888795525388697600) (*.f64 (*.f64 (sqrt.f64 a) rand) 1/3) (if (<=.f64 rand 7999999999999999412318249411849591388070425721595743098101171358242898444288) (-.f64 a 1/3) (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))))
(if (<=.f64 rand -2500000000000000181328590953823087815395936024116304888795525388697600) (*.f64 1/3 (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand 7999999999999999412318249411849591388070425721595743098101171358242898444288) (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(if (<=.f64 rand -2799999999999999819964136651809643763656691559432965570766207889440768) (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)) (if (<=.f64 rand 36999999999999999491511714385915989040023595931478890296747033983213553844224) (-.f64 a 1/3) (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))))
(if (or (<=.f64 rand -2799999999999999819964136651809643763656691559432965570766207889440768) (not (<=.f64 rand 36999999999999999491511714385915989040023595931478890296747033983213553844224))) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) (+.f64 a -1/3))
(-.f64 a 1/3)
(+.f64 a -1/3)
a
Compiler

Compiled 169 to 127 computations (24.9% saved)

soundness508.0ms (5.1%)

Algorithm
1×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
1×saturated
Compiler

Compiled 183 to 156 computations (14.8% saved)

end164.0ms (1.7%)

Compiler

Compiled 153 to 110 computations (28.1% saved)

Profiling

Loading profile data...