Details

Time bar (total: 13.4s)

analyze143.0ms (1.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%50%0.1%0%50%0%2
0%0%50%0.1%0%50%0%3
0%0%50%0.1%0%50%0%4
0%0%50%0.1%0%50%0%5
16.7%6.2%31.2%0.1%0%62.4%0%6
25%9.4%28.1%0.1%0%62.4%0%7
45%14%17.2%0.1%0%68.7%0%8
47.5%14.8%16.4%0.1%0%68.7%0%9
63.4%17.6%10.1%0.1%0.4%71.8%0%10
66.4%18.1%9.2%0.1%0.8%71.8%0%11
78.2%19.6%5.5%0.1%1.5%73.4%0%12
Compiler

Compiled 23 to 20 computations (13% saved)

sample1.9s (14.5%)

Results
1.7s8256×body256valid
118.0ms660×body256infinite
69.0ms582×body256invalid
Bogosity

preprocess114.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 24 to 21 computations (12.5% saved)

simplify173.0ms (1.3%)

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

Useful iterations: 2 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 65 to 53 computations (18.5% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New134
Fresh101
Picked000
Done000
Total235
Error
0.1b
Counts
5 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
0.1b
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
Compiler

Compiled 49 to 40 computations (18.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 49 to 37 computations (24.5% saved)

series24.0ms (0.2%)

Counts
4 → 50
Calls

18 calls:

TimeVariablePointExpression
15.0ms
rand
@-inf
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
1.0ms
rand
@0
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
1.0ms
a
@-inf
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
1.0ms
a
@inf
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
1.0ms
a
@0
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))

rewrite133.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1286×distribute-lft-in
1132×associate-/r*
762×associate-/l*
338×add-sqr-sqrt
324×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01678
134176
2435576
Stop Event
node limit
Counts
4 → 212
Calls
Call 1
Inputs
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(sqrt.f64 (fma.f64 9 a -3))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 9 a -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 -1 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (fma.f64 9 a -3))) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (pow.f64 (fma.f64 9 a -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 1 (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (*.f64 1 (+.f64 a (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 9 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 (*.f64 9 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 a) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 9 a) 1) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 9 a) 1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 9 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9 a -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9 a -3)) (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) (cbrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 a -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (fma.f64 9 a -3) 1/4)) (pow.f64 (fma.f64 9 a -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 9 a) (*.f64 9 a)) 9) (-.f64 (*.f64 9 a) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (pow.f64 (*.f64 9 a) 3)) (+.f64 (*.f64 (*.f64 9 a) (*.f64 9 a)) (-.f64 9 (*.f64 (*.f64 9 a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9 a -3)))))))

simplify228.0ms (1.7%)

Algorithm
egg-herbie
Rules
1256×associate-+r+
1222×associate-+l+
920×+-commutative
662×associate-*r*
550×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057111486
1150611084
2633111084
Stop Event
node limit
Counts
262 → 308
Calls
Call 1
Inputs
(*.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))))))
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))))
(*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))
(+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))
(+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.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 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))))
(+.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 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.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 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
-3
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(+.f64 (/.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 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.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 (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 (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 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)
(pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) -1)
(pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3) 1/3)
(neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(sqrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))
(log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))
(expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(-.f64 (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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 1/2))
(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 a (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))
(+.f64 a (+.f64 -1/3 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1)))
(+.f64 a (*.f64 1 (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))
(+.f64 -1/3 (+.f64 a (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))
(+.f64 -1/3 (+.f64 a (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1)))
(+.f64 -1/3 (*.f64 1 (+.f64 a (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))
(+.f64 (+.f64 a -1/3) (*.f64 1 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1)))
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) a)
(+.f64 (+.f64 a (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) -1/3)
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) a) (+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3) (+.f64 a -1/3)))
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3) (+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) a) (+.f64 a -1/3)))
(+.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a) (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3))
(+.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3) (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a))
(+.f64 (*.f64 a (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)))
(+.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 (*.f64 a (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)))
(+.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1) (+.f64 a -1/3))
(+.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(+.f64 (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(+.f64 (+.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) a)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))
(+.f64 (+.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) a))
(+.f64 (+.f64 (+.f64 a -1/3) (*.f64 a (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (*.f64 -1/3 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(+.f64 (+.f64 (+.f64 a -1/3) (*.f64 -1/3 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (*.f64 a (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(+.f64 (*.f64 1 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a)) (*.f64 1 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3)))
(+.f64 (*.f64 1 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3)) (*.f64 1 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a)))
(+.f64 (*.f64 1 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) (*.f64 1 (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))
(+.f64 (*.f64 1 (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) (*.f64 1 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (-.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (-.f64 1 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1)))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (-.f64 (/.f64 (*.f64 a a) (-.f64 -1/3 a)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (-.f64 (/.f64 (*.f64 a a) (-.f64 -1/3 a)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1)))
(-.f64 (+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) (exp.f64 (log.f64 (+.f64 2/3 a)))) 1)
(-.f64 (+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) (/.f64 1/9 (-.f64 -1/3 a))) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))
(/.f64 (+.f64 a -1/3) (/.f64 1 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(/.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (/.f64 1 (+.f64 a -1/3)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (-.f64 -1/3 a) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (*.f64 (-.f64 -1/3 a) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (*.f64 (-.f64 -1/3 a) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))))
(/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)))
(/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a))))
(/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (*.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (*.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 a -1/3)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (*.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (*.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))
(/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (-.f64 a -1/3))))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (-.f64 -1/3 a))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (+.f64 1/9 (*.f64 a (-.f64 a -1/3))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 a -1/3)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))) (-.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (*.f64 (-.f64 -1/3 a) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (*.f64 (-.f64 -1/3 a) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (*.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (*.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (-.f64 1/9 (*.f64 a a))) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (-.f64 -1/3 a)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (-.f64 1/9 (*.f64 a a))) (*.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (-.f64 -1/3 a)))
(/.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 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) 1) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (sqrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (sqrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (cbrt.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) 1) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (-.f64 1/9 (*.f64 a a))) 1) (-.f64 -1/3 a))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (-.f64 1/9 (*.f64 a a))) (*.f64 (cbrt.f64 (-.f64 -1/3 a)) (cbrt.f64 (-.f64 -1/3 a)))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 -1/27 (pow.f64 a 3))) 1) (+.f64 1/9 (*.f64 a (-.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (+.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 (-.f64 1/9 (*.f64 a a)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 1) (-.f64 -1/3 a))
(/.f64 (/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (*.f64 (cbrt.f64 (-.f64 -1/3 a)) (cbrt.f64 (-.f64 -1/3 a)))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) 1) (+.f64 1/9 (*.f64 a (-.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 (+.f64 1/9 (*.f64 a (-.f64 a -1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (*.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 (-.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 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.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)) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.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)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (-.f64 -1/3 a)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (-.f64 -1/3 a)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (+.f64 1/9 (*.f64 a (-.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))) (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (-.f64 1/9 (*.f64 a a))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (-.f64 -1/3 a))
(/.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))))) (+.f64 1/9 (*.f64 a (-.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (-.f64 1/9 (*.f64 a a))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (-.f64 -1/3 a))
(/.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 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (+.f64 1/9 (*.f64 a (-.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 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (log.f64 (+.f64 a -1/3))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (log.f64 (+.f64 a -1/3))) 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 (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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 (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(+.f64 -3 (*.f64 9 a))
(+.f64 -3 (*.f64 (*.f64 9 a) 1))
(+.f64 (*.f64 9 a) -3)
(+.f64 (*.f64 (*.f64 9 a) 1) -3)
(+.f64 (*.f64 1 (*.f64 (*.f64 9 a) 1)) -3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9 a -3))) 1)
(*.f64 (fma.f64 9 a -3) 1)
(*.f64 (sqrt.f64 (fma.f64 9 a -3)) (sqrt.f64 (fma.f64 9 a -3)))
(*.f64 1 (fma.f64 9 a -3))
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) (cbrt.f64 (fma.f64 9 a -3)))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (fma.f64 9 a -3) 1/4)) (pow.f64 (fma.f64 9 a -3) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 (-.f64 (*.f64 (*.f64 9 a) (*.f64 9 a)) 9) (-.f64 (*.f64 9 a) -3))
(/.f64 (+.f64 -27 (pow.f64 (*.f64 9 a) 3)) (+.f64 (*.f64 (*.f64 9 a) (*.f64 9 a)) (-.f64 9 (*.f64 (*.f64 9 a) -3))))
(pow.f64 (fma.f64 9 a -3) 1)
(pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))
(log.f64 (exp.f64 (fma.f64 9 a -3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 a -3))))
(cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3))
(expm1.f64 (log1p.f64 (fma.f64 9 a -3)))
(exp.f64 (log.f64 (fma.f64 9 a -3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 9 a -3)))
Outputs
(*.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 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -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 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -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 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -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 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -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 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -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 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.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)))
(fma.f64 -1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 -1/2 (/.f64 rand (/.f64 (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 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 rand (*.f64 a a)))) (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (*.f64 a 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 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 rand (*.f64 a a)))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 (*.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 rand (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (*.f64 a a))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 (pow.f64 a 3)) (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9))))))
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)))
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (*.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3))))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))))
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))))
(+.f64 (*.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3))) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))))
(*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))
(+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))
(fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(fma.f64 a (+.f64 1 (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.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 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))))
(fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(fma.f64 a (+.f64 1 (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(+.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 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.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 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))))
(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 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 1/6 (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)))) (fma.f64 a (+.f64 1 (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (*.f64 -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 9 a -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 9 a -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 9 a -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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.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 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 9 a -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 9 a -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 9 a -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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.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 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 9 a -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 9 a -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 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
-3
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 0)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(+.f64 1 (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -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 9 a -3) -1/2)) 0)
(+.f64 0 (*.f64 rand (pow.f64 (fma.f64 9 a -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 (/.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 (*.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 rand (/.f64 rand (fma.f64 9 a -3)))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (*.f64 rand (/.f64 rand (fma.f64 9 a -3)))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(*.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(/.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 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.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 (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 (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 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 (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 rand (fma.f64 9 a -3)))))
(*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)
(*.f64 rand (pow.f64 (fma.f64 9 a -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 (/.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 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (/.f64 -1 (sqrt.f64 (fma.f64 9 a -3))) (neg.f64 rand))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -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 (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 rand))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
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(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 a -1/3)) 1) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (+.f64 1 (-.f64 (*.f64 rand (/.f64 rand (fma.f64 9 a -3))) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (+.f64 a -1/3)) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (+.f64 1 (-.f64 (*.f64 rand (/.f64 rand (fma.f64 9 a -3))) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 a -1/3)))
(/.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 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (+.f64 1 (-.f64 (*.f64 rand (/.f64 rand (fma.f64 9 a -3))) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (-.f64 -1/3 a)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (-.f64 1 (*.f64 rand (/.f64 rand (fma.f64 9 a -3)))) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (-.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (-.f64 -1/3 a)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (+.f64 1 (-.f64 (*.f64 rand (/.f64 rand (fma.f64 9 a -3))) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 (pow.f64 a 3) -1/27))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (-.f64 1 (*.f64 rand (/.f64 rand (fma.f64 9 a -3)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (fma.f64 a (+.f64 a 1/3) 1/9))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))) (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (+.f64 1 (-.f64 (*.f64 rand (/.f64 rand (fma.f64 9 a -3))) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 a 1/3) 1/9))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (-.f64 1/9 (*.f64 a a))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (-.f64 -1/3 a))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (-.f64 1 (*.f64 rand (/.f64 rand (fma.f64 9 a -3)))) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (-.f64 -1/3 a))))
(/.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))))) (+.f64 1/9 (*.f64 a (-.f64 a -1/3))))
(/.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 (pow.f64 a 3) -1/27))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (-.f64 1 (*.f64 rand (/.f64 rand (fma.f64 9 a -3)))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (fma.f64 a (+.f64 a 1/3) 1/9))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (-.f64 1/9 (*.f64 a a))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (-.f64 -1/3 a))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (+.f64 1 (-.f64 (*.f64 rand (/.f64 rand (fma.f64 9 a -3))) (/.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 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (+.f64 1/9 (*.f64 a (-.f64 a -1/3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 (+.f64 1 (-.f64 (*.f64 rand (/.f64 rand (fma.f64 9 a -3))) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 a 1/3) 1/9))))
(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))
(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))
(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))
(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))
(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 9 a -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))
(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))
(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))
(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))
(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))
(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))
(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (log.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (log.f64 (+.f64 a -1/3))) 1))
(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (log.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (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 (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(+.f64 -3 (*.f64 9 a))
(fma.f64 9 a -3)
(+.f64 -3 (*.f64 (*.f64 9 a) 1))
(fma.f64 9 a -3)
(+.f64 (*.f64 9 a) -3)
(fma.f64 9 a -3)
(+.f64 (*.f64 (*.f64 9 a) 1) -3)
(fma.f64 9 a -3)
(+.f64 (*.f64 1 (*.f64 (*.f64 9 a) 1)) -3)
(fma.f64 9 a -3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9 a -3))) 1)
(fma.f64 9 a -3)
(*.f64 (fma.f64 9 a -3) 1)
(fma.f64 9 a -3)
(*.f64 (sqrt.f64 (fma.f64 9 a -3)) (sqrt.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(*.f64 1 (fma.f64 9 a -3))
(fma.f64 9 a -3)
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (sqrt.f64 (fma.f64 9 a -3))))
(fma.f64 9 a -3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) (cbrt.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))
(fma.f64 9 a -3)
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) 4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (fma.f64 9 a -3) 1/4)) (pow.f64 (fma.f64 9 a -3) 1/4))
(fma.f64 9 a -3)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) 4))
(/.f64 (-.f64 (*.f64 (*.f64 9 a) (*.f64 9 a)) 9) (-.f64 (*.f64 9 a) -3))
(/.f64 (+.f64 (*.f64 81 (*.f64 a a)) -9) (fma.f64 9 a 3))
(/.f64 (fma.f64 (*.f64 a 81) a -9) (fma.f64 9 a 3))
(/.f64 (+.f64 -27 (pow.f64 (*.f64 9 a) 3)) (+.f64 (*.f64 (*.f64 9 a) (*.f64 9 a)) (-.f64 9 (*.f64 (*.f64 9 a) -3))))
(/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (-.f64 (+.f64 (*.f64 81 (*.f64 a a)) 9) (*.f64 (*.f64 9 a) -3)))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (-.f64 (fma.f64 (*.f64 a 81) a 9) (*.f64 a -27)))
(pow.f64 (fma.f64 9 a -3) 1)
(fma.f64 9 a -3)
(pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)
(fma.f64 9 a -3)
(pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3)
(fma.f64 9 a -3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))
(fabs.f64 (fma.f64 9 a -3))
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)
(fma.f64 9 a -3)
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))
(fabs.f64 (fma.f64 9 a -3))
(log.f64 (exp.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 a -3))))
(fma.f64 9 a -3)
(cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3))
(fma.f64 9 a -3)
(expm1.f64 (log1p.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(exp.f64 (log.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1))
(fma.f64 9 a -3)
(log1p.f64 (expm1.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)

localize32.0ms (0.2%)

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

Compiled 67 to 54 computations (19.4% saved)

series12.0ms (0.1%)

Counts
4 → 42
Calls

18 calls:

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

rewrite117.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1228×distribute-lft-in
1136×associate-/r*
604×associate-/l*
390×associate-/r/
316×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015104
132398
2418194
Stop Event
node limit
Counts
4 → 317
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)
(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) 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 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (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 (cbrt.f64 (/.f64 1/9 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.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 1 (sqrt.f64 (+.f64 a -1/3))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (/.f64 1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) -1) (pow.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) -1) (pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 9 a) -3) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.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 1/9 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 rand) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 rand) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 rand) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (cbrt.f64 (sqrt.f64 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 (cbrt.f64 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 rand)) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 (sqrt.f64 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (cbrt.f64 (pow.f64 (cbrt.f64 rand) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand -1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand 1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (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 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 (*.f64 9 a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (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 (/.f64 rand (pow.f64 1 1/2)) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand -1) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand -1) (sqrt.f64 (+.f64 a -1/3))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand -1) (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (neg.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand -1) -1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand -1) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 rand -1) (neg.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1 rand) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1 rand) (sqrt.f64 (+.f64 a -1/3))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1 rand) (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (neg.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1 rand) -1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1 rand) (neg.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand 1) 1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand 1) 3) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand 1) (pow.f64 1 1/2)) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand 1) (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand (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 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 3))))) (#(struct:change 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simplify187.0ms (1.4%)

Algorithm
egg-herbie
Rules
978×associate-/l/
848×associate-/l*
622×associate-*r*
574×*-commutative
496×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081916933
1203815987
Stop Event
node limit
Counts
359 → 502
Calls
Call 1
Inputs
(*.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 3 (sqrt.f64 -1/3))
(+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))))
(*.f64 -1/3 (+.f64 (*.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 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1)
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (sqrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(*.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)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3)) -1)
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) -1) (pow.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1) 1/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) -1) (pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) -1))
(pow.f64 (+.f64 (*.f64 9 a) -3) -1/2)
(pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) -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 3 (sqrt.f64 (+.f64 a -1/3)))) -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 1/9 (+.f64 a -1/3)))) 1))
(/.f64 1 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) rand))
(/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1)
(/.f64 (sqrt.f64 rand) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)))
(/.f64 (cbrt.f64 rand) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 rand) 2)))
(/.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (cbrt.f64 (sqrt.f64 rand))))
(/.f64 (cbrt.f64 rand) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (cbrt.f64 rand)))
(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (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 3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 (cbrt.f64 rand))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 rand)) (sqrt.f64 (pow.f64 (cbrt.f64 rand) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 rand)) (/.f64 (/.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) (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 3 (sqrt.f64 (+.f64 a -1/3))) (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 3 (sqrt.f64 (+.f64 a -1/3))))
(/.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 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.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 3 (sqrt.f64 (+.f64 a -1/3))))) (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 1 1/2)) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 rand (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))
(/.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 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 rand -1) -1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.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 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.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 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 -1 rand) -1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.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 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (/.f64 rand 1) 1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.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 1 1/2)) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)) 1/2))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) 1) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (sqrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (sqrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (/.f64 rand (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 3))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) 1) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (sqrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.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 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 3))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.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)
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(-.f64 (+.f64 (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (exp.f64 (log.f64 (+.f64 2/3 a)))) 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 (-.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)))
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(/.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)))
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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 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (*.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 a -1/3) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) (+.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.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))))
(/.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 (+.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 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (*.f64 (+.f64 a 1/3) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
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(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
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(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3)) (fma.f64 a a -1/9)) (*.f64 (+.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (+.f64 a 1/3)))
(/.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 (+.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.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 a -1/3) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) 1) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (sqrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (sqrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))) (cbrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))) (cbrt.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand))))
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(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))
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(/.f64 (/.f64 (*.f64 (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)))
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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 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.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 (*.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)))
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(/.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 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (*.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 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(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 (fma.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand 1)) (+.f64 a -1/3)))
(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 1 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(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 (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 (pow.f64 (cbrt.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 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 -3/2 (/.f64 (sqrt.f64 -3) a)))
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a a))) (*.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (/.f64 -1/6 (/.f64 (sqrt.f64 -3) (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 a a))))))
(+.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 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (pow.f64 a 3)) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (/.f64 -1/6 (/.f64 (sqrt.f64 -3) (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 a a)))))))
(*.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 (*.f64 (*.f64 -3/2 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)))))
(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 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand))) (/.f64 (*.f64 (*.f64 -3/2 a) 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))))))
(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 (sqrt.f64 -3) (*.f64 (pow.f64 a 3) rand))) (fma.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand))) (/.f64 (*.f64 (*.f64 -3/2 a) rand) (sqrt.f64 -3)))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.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 a -1/3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.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 a -1/3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.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 a -1/3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.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 a -1/3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.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 a -1/3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.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 a -1/3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.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 a -1/3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.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 a -1/3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.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 a -1/3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.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 a -1/3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.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 a -1/3)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (*.f64 1/3 rand))
(*.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 (*.f64 a 3/2) (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))))
(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 (*.f64 a 3/2) (sqrt.f64 -1/3))) (*.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 (*.f64 a 3/2) (sqrt.f64 -1/3)))))
(*.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 1/2 (/.f64 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 1/2 (/.f64 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 -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 (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 1/2 (/.f64 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 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand) (*.f64 1/18 (/.f64 (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 -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 (sqrt.f64 -3) rand) -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)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.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)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
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(/.f64 (/.f64 (*.f64 rand -1) (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)) (neg.f64 (pow.f64 (+.f64 (*.f64 9 a) -3) 1/4)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 rand -1) (sqrt.f64 (+.f64 a -1/3))) -3)
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 rand -1) (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (neg.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 rand (*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 rand -1) -1) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.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 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.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 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.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 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 rand -1) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 rand -1) (neg.f64 (cbrt.f64 (+.f64 (*.f64 9 a) -3)))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 rand (*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 -1 rand) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 -1 rand) (sqrt.f64 (+.f64 a -1/3))) -3)
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (/.f64 (*.f64 -1 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) 3)
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 rand 1) 3) (sqrt.f64 (+.f64 a -1/3)))
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(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 1 1/2)) (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (/.f64 rand 1) (pow.f64 9 1/2)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 rand (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))) (fabs.f64 (cbrt.f64 (fma.f64 a 9 -3)))))
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(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
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(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
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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))
(/.f64 (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)) (*.f64 (sqrt.f64 3) (sqrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 3)))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) 1) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 rand (*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (sqrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 rand (*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.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 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 1/4))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 1/4)))
(/.f64 rand (*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 1/4))) (cbrt.f64 (fma.f64 a 9 -3))))
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(/.f64 (/.f64 rand (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 rand (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 3))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (*.f64 (cbrt.f64 3) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 rand (*.f64 (cbrt.f64 3) (*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (/.f64 rand (cbrt.f64 (+.f64 (*.f64 9 a) -3))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (cbrt.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 rand (*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (neg.f64 rand) 1) (*.f64 (sqrt.f64 (+.f64 a -1/3)) -3))
(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.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)
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(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
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(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
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(/.f64 1 (/.f64 3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand) 1)
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(sqrt.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))
(sqrt.f64 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3))))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))
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(*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
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(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 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 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 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 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 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 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 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 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 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 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 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 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 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) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 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 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 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 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 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 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)))
(fma.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 9 a) -3)
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
0.1b
(sqrt.f64 (+.f64 (*.f64 9 a) -3))
0.2b
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))
Compiler

Compiled 57 to 44 computations (22.8% saved)

series8.0ms (0.1%)

Counts
4 → 50
Calls

18 calls:

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

rewrite124.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01678
135376
2464076
Stop Event
node limit
Counts
4 → 247
Calls
Call 1
Inputs
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))
(sqrt.f64 (+.f64 (*.f64 9 a) -3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
(+.f64 (*.f64 9 a) -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 (/.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 -1 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (fma.f64 9 a -3))) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9))) (sqrt.f64 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -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 -27 (*.f64 729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 rand 1) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9))) (sqrt.f64 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (pow.f64 (fma.f64 9 a -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9)) (sqrt.f64 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 1 (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (*.f64 1 (+.f64 a (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a 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/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 9 a) 2) 3) 729) (*.f64 (fma.f64 9 a 3) (+.f64 (*.f64 (pow.f64 (*.f64 9 a) 2) (pow.f64 (*.f64 9 a) 2)) (+.f64 81 (*.f64 (pow.f64 (*.f64 9 a) 2) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9)) (neg.f64 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) 1) (fma.f64 9 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (sqrt.f64 (fma.f64 9 a 3))) (sqrt.f64 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (*.f64 (cbrt.f64 (fma.f64 9 a 3)) (cbrt.f64 (fma.f64 9 a 3)))) (cbrt.f64 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) 1) (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 a -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 9 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9 a) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 9 a)) (sqrt.f64 (*.f64 9 a)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2) (cbrt.f64 (*.f64 9 a)) -3)))))

simplify180.0ms (1.3%)

Algorithm
egg-herbie
Rules
1386×associate-+r+
1140×+-commutative
702×associate-*r*
598×associate-*l*
560×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069113581
1184513087
2737413087
Stop Event
node limit
Counts
297 → 386
Calls
Call 1
Inputs
(*.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))))))
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))))
(*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
-3
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(+.f64 (/.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 rand (/.f64 (fma.f64 9 a -3) rand)) (-.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 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.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 (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 (/.f64 (fma.f64 9 a -3) rand))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(*.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 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -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 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(*.f64 (/.f64 (/.f64 rand 1) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9))) (sqrt.f64 (fma.f64 9 a 3)))
(pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)
(pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) -1)
(pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3) 1/3)
(neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(sqrt.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)))
(log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))
(expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(-.f64 (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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -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))
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(/.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 rand (/.f64 (fma.f64 9 a -3) rand))) (+.f64 a -1/3)) 1) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))) (+.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 rand (/.f64 (fma.f64 9 a -3) rand))) (+.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 1 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.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)) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.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)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)))) (+.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 1 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)))) (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 1 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))) (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 rand (/.f64 (fma.f64 9 a -3) rand))) (+.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 1 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (+.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 1 (-.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (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 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (log.f64 (+.f64 a -1/3))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (log.f64 (+.f64 a -1/3))) 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 (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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 (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9 a))) 4)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9 a -3))) 1)
(-.f64 (/.f64 (*.f64 a a) (/.f64 (fma.f64 9 a 3) 81)) (/.f64 9 (fma.f64 9 a 3)))
(-.f64 (+.f64 -3 (exp.f64 (log1p.f64 (*.f64 9 a)))) 1)
(*.f64 (fma.f64 9 a -3) 1)
(*.f64 (sqrt.f64 (fma.f64 9 a -3)) (sqrt.f64 (fma.f64 9 a -3)))
(*.f64 1 (fma.f64 9 a -3))
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) (cbrt.f64 (fma.f64 9 a -3)))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (/.f64 1 (fma.f64 9 a 3)))
(*.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (fma.f64 9 a -3) 1/4)) (pow.f64 (fma.f64 9 a -3) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (/.f64 1 (fma.f64 9 a 3)) (+.f64 (pow.f64 (*.f64 9 a) 2) -9))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))) (+.f64 -27 (*.f64 729 (pow.f64 a 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (+.f64 (pow.f64 (*.f64 9 a) 2) -9)) (fma.f64 9 a -3))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (-.f64 (*.f64 729 (pow.f64 a 3)) -27)) (+.f64 (pow.f64 (*.f64 9 a) 2) (+.f64 9 (*.f64 a -27))))
(*.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (-.f64 (*.f64 (pow.f64 (*.f64 9 a) 2) (pow.f64 (*.f64 9 a) 2)) (*.f64 (-.f64 9 (*.f64 a -27)) (-.f64 9 (*.f64 a -27))))) (+.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (*.f64 a -27)))
(*.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (+.f64 (pow.f64 (pow.f64 (*.f64 9 a) 2) 3) (pow.f64 (-.f64 9 (*.f64 a -27)) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 9 a) 2) (pow.f64 (*.f64 9 a) 2)) (-.f64 (*.f64 (-.f64 9 (*.f64 a -27)) (-.f64 9 (*.f64 a -27))) (*.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))))
(/.f64 1 (/.f64 1 (fma.f64 9 a -3)))
(/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (fma.f64 9 a 3))
(/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))
(/.f64 (sqrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))) (sqrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9)) (/.f64 (fma.f64 9 a 3) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (cbrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))))) (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))) (cbrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9))) (/.f64 (fma.f64 9 a 3) (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9))))
(/.f64 (-.f64 (*.f64 (*.f64 729 (pow.f64 a 3)) (*.f64 729 (pow.f64 a 3))) 729) (*.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))) (-.f64 (*.f64 729 (pow.f64 a 3)) -27)))
(/.f64 (-.f64 9 (pow.f64 (*.f64 9 a) 2)) (-.f64 -3 (*.f64 9 a)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 9 a) 2) (pow.f64 (*.f64 9 a) 2)) 81) (*.f64 (fma.f64 9 a 3) (+.f64 9 (pow.f64 (*.f64 9 a) 2))))
(/.f64 (+.f64 -19683 (pow.f64 (*.f64 729 (pow.f64 a 3)) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))) (+.f64 (*.f64 (*.f64 729 (pow.f64 a 3)) (*.f64 729 (pow.f64 a 3))) (-.f64 729 (*.f64 (*.f64 729 (pow.f64 a 3)) -27)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 9 a) 2) 3) 729) (*.f64 (fma.f64 9 a 3) (+.f64 (*.f64 (pow.f64 (*.f64 9 a) 2) (pow.f64 (*.f64 9 a) 2)) (+.f64 81 (*.f64 (pow.f64 (*.f64 9 a) 2) 9)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9)) (neg.f64 (fma.f64 9 a 3)))
(/.f64 (neg.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) 1) (fma.f64 9 a 3))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (sqrt.f64 (fma.f64 9 a 3))) (sqrt.f64 (fma.f64 9 a 3)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (*.f64 (cbrt.f64 (fma.f64 9 a 3)) (cbrt.f64 (fma.f64 9 a 3)))) (cbrt.f64 (fma.f64 9 a 3)))
(/.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) 1) (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))
(/.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(/.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(pow.f64 (fma.f64 9 a -3) 1)
(pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))
(log.f64 (exp.f64 (fma.f64 9 a -3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 a -3))))
(cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3))
(expm1.f64 (log1p.f64 (fma.f64 9 a -3)))
(exp.f64 (log.f64 (fma.f64 9 a -3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(fma.f64 1 (*.f64 9 a) -3)
(fma.f64 (sqrt.f64 (*.f64 9 a)) (sqrt.f64 (*.f64 9 a)) -3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2) (cbrt.f64 (*.f64 9 a)) -3)
Outputs
(*.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 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -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 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -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 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -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 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -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 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -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 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.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)))
(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 -1/2 (*.f64 rand a)) (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 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 rand (*.f64 a a)))) (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (*.f64 a a)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 rand (*.f64 a a)))) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) (*.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)))))))))))
(fma.f64 -1/2 (/.f64 rand (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 rand (*.f64 a a))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 (*.f64 -1/2 (*.f64 rand (pow.f64 a 3))) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)) (sqrt.f64 -1/3)))))
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)))
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (*.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3))))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))))
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))))
(+.f64 (*.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3))) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))))
(*.f64 -1/3 (+.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 (*.f64 1/6 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 (*.f64 1/6 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 (*.f64 -1/2 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 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (*.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 (*.f64 1/6 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 (*.f64 -1/2 rand) (sqrt.f64 -1/3))) (+.f64 -1/3 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 (*.f64 rand 1/6) (/.f64 (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 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (*.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 9 a -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 9 a -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 9 a -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 (+.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 9 a -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 9 a -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 9 a -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 (+.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 9 a -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 9 a -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 9 a -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
-3
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(+.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 0)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(+.f64 1 (-.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -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 9 a -3) -1/2)) 0)
(+.f64 0 (*.f64 rand (pow.f64 (fma.f64 9 a -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 (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 (/.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) 1))
(-.f64 (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 1 (/.f64 (*.f64 (/.f64 rand (fma.f64 9 a -3)) rand) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
(+.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(*.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(/.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 rand (pow.f64 (fma.f64 9 a -3) -1/2))
(*.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 (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 (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 9 a -3)))) (cbrt.f64 (*.f64 (/.f64 rand (fma.f64 9 a -3)) rand)))
(*.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 (/.f64 (fma.f64 9 a -3) rand))) (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 (/.f64 rand (fma.f64 9 a -3)) rand)))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))))
(*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)
(*.f64 rand (pow.f64 (fma.f64 9 a -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 (/.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 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (*.f64 1 (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (fma.f64 9 a -3)))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (/.f64 -1 (sqrt.f64 (fma.f64 9 a -3))) (neg.f64 rand))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -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 (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 rand))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -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 1 (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (fma.f64 9 a -3)))
(/.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (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 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 rand (sqrt.f64 (fma.f64 9 a -3)))
(*.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 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.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 rand (sqrt.f64 (fma.f64 9 a -3)))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))) (sqrt.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 (pow.f64 a 3) 729 -27))) (sqrt.f64 (+.f64 9 (+.f64 (*.f64 a 27) (*.f64 (*.f64 a a) 81)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 (pow.f64 a 3) 729 -27))) (sqrt.f64 (+.f64 9 (+.f64 (*.f64 (*.f64 a a) 81) (*.f64 a 27)))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9))) (sqrt.f64 (fma.f64 9 a 3)))
(/.f64 rand (/.f64 (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))
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(fma.f64 9 a -3)
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (-.f64 (*.f64 729 (pow.f64 a 3)) -27)) (+.f64 (pow.f64 (*.f64 9 a) 2) (+.f64 9 (*.f64 a -27))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (fma.f64 729 (pow.f64 a 3) 27)) (+.f64 (+.f64 9 (pow.f64 (*.f64 9 a) 2)) (*.f64 a -27)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (+.f64 (*.f64 (*.f64 a a) 81) (fma.f64 a -27 9))) (fma.f64 (pow.f64 a 3) 729 27))
(*.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (-.f64 (*.f64 (pow.f64 (*.f64 9 a) 2) (pow.f64 (*.f64 9 a) 2)) (*.f64 (-.f64 9 (*.f64 a -27)) (-.f64 9 (*.f64 a -27))))) (+.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (*.f64 a -27)))
(*.f64 (/.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729)) (-.f64 (pow.f64 (*.f64 9 a) 4) (*.f64 (-.f64 9 (*.f64 a -27)) (-.f64 9 (*.f64 a -27))))) (+.f64 (*.f64 a -27) (+.f64 (pow.f64 (*.f64 9 a) 2) -9)))
(*.f64 (/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (-.f64 (pow.f64 (*.f64 9 a) 4) (*.f64 (+.f64 9 (*.f64 a 27)) (+.f64 9 (*.f64 a 27))))) (fma.f64 a -27 (+.f64 (*.f64 (*.f64 a a) 81) -9)))
(*.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (+.f64 (pow.f64 (pow.f64 (*.f64 9 a) 2) 3) (pow.f64 (-.f64 9 (*.f64 a -27)) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 9 a) 2) (pow.f64 (*.f64 9 a) 2)) (-.f64 (*.f64 (-.f64 9 (*.f64 a -27)) (-.f64 9 (*.f64 a -27))) (*.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))))
(*.f64 (/.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729)) (+.f64 (pow.f64 (pow.f64 (*.f64 9 a) 2) 3) (pow.f64 (-.f64 9 (*.f64 a -27)) 3))) (+.f64 (pow.f64 (*.f64 9 a) 4) (*.f64 (-.f64 9 (*.f64 a -27)) (-.f64 (-.f64 9 (*.f64 a -27)) (pow.f64 (*.f64 9 a) 2)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) 81) 3) (pow.f64 (+.f64 9 (*.f64 a 27)) 3)) (fma.f64 (+.f64 9 (*.f64 a 27)) (-.f64 (+.f64 9 (*.f64 a 27)) (*.f64 (*.f64 a a) 81)) (pow.f64 (*.f64 9 a) 4))))
(/.f64 1 (/.f64 1 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (fma.f64 9 a 3))
(*.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (/.f64 1 (fma.f64 9 a 3)))
(/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (fma.f64 9 a 3))
(/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))
(*.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729)) (/.f64 1 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (*.f64 a 27) (*.f64 (*.f64 a a) 81))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (*.f64 (*.f64 a a) 81) (*.f64 a 27))))
(/.f64 (sqrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))) (sqrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729))) (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))) (sqrt.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (+.f64 9 (+.f64 (*.f64 a 27) (*.f64 (*.f64 a a) 81)))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (+.f64 9 (+.f64 (*.f64 (*.f64 a a) 81) (*.f64 a 27)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9)) (/.f64 (fma.f64 9 a 3) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9)) (/.f64 (fma.f64 9 a 3) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (cbrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))))) (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))) (cbrt.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729))) (cbrt.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729)))) (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))) (cbrt.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (/.f64 (+.f64 9 (+.f64 (*.f64 a 27) (*.f64 (*.f64 a a) 81))) (cbrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)))))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)) (/.f64 (+.f64 9 (+.f64 (*.f64 (*.f64 a a) 81) (*.f64 a 27))) (cbrt.f64 (fma.f64 (pow.f64 a 3) 729 -27)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9))) (/.f64 (fma.f64 9 a 3) (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9))) (fma.f64 9 a 3)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9)) (/.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9)) (/.f64 (fma.f64 9 a 3) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9)))))
(/.f64 (-.f64 (*.f64 (*.f64 729 (pow.f64 a 3)) (*.f64 729 (pow.f64 a 3))) 729) (*.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))) (-.f64 (*.f64 729 (pow.f64 a 3)) -27)))
(/.f64 (+.f64 (*.f64 531441 (*.f64 (pow.f64 a 3) (pow.f64 a 3))) -729) (*.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))) (fma.f64 729 (pow.f64 a 3) 27)))
(/.f64 (fma.f64 531441 (pow.f64 a 6) -729) (*.f64 (+.f64 9 (+.f64 (*.f64 a 27) (*.f64 (*.f64 a a) 81))) (fma.f64 (pow.f64 a 3) 729 27)))
(/.f64 (fma.f64 531441 (pow.f64 a 6) -729) (*.f64 (+.f64 9 (+.f64 (*.f64 (*.f64 a a) 81) (*.f64 a 27))) (fma.f64 (pow.f64 a 3) 729 27)))
(/.f64 (-.f64 9 (pow.f64 (*.f64 9 a) 2)) (-.f64 -3 (*.f64 9 a)))
(/.f64 (-.f64 9 (pow.f64 (*.f64 9 a) 2)) (+.f64 -3 (*.f64 -9 a)))
(/.f64 (-.f64 9 (*.f64 (*.f64 a a) 81)) (+.f64 -3 (*.f64 a -9)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 9 a) 2) (pow.f64 (*.f64 9 a) 2)) 81) (*.f64 (fma.f64 9 a 3) (+.f64 9 (pow.f64 (*.f64 9 a) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 9 a) 4) -81) (*.f64 (fma.f64 9 a 3) (+.f64 9 (pow.f64 (*.f64 9 a) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 9 a) 4) -81) (*.f64 (fma.f64 9 a 3) (+.f64 9 (*.f64 (*.f64 a a) 81))))
(/.f64 (+.f64 -19683 (pow.f64 (*.f64 729 (pow.f64 a 3)) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))) (+.f64 (*.f64 (*.f64 729 (pow.f64 a 3)) (*.f64 729 (pow.f64 a 3))) (-.f64 729 (*.f64 (*.f64 729 (pow.f64 a 3)) -27)))))
(/.f64 (+.f64 -19683 (*.f64 387420489 (pow.f64 (pow.f64 a 3) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))) (+.f64 (*.f64 531441 (*.f64 (pow.f64 a 3) (pow.f64 a 3))) (-.f64 729 (*.f64 729 (*.f64 (pow.f64 a 3) -27))))))
(/.f64 (fma.f64 387420489 (pow.f64 (pow.f64 a 3) 3) -19683) (*.f64 (+.f64 9 (+.f64 (*.f64 a 27) (*.f64 (*.f64 a a) 81))) (-.f64 (fma.f64 531441 (pow.f64 a 6) 729) (*.f64 (pow.f64 a 3) -19683))))
(/.f64 (fma.f64 387420489 (pow.f64 (pow.f64 a 3) 3) -19683) (*.f64 (+.f64 9 (+.f64 (*.f64 (*.f64 a a) 81) (*.f64 a 27))) (-.f64 (fma.f64 531441 (pow.f64 a 6) 729) (*.f64 (pow.f64 a 3) -19683))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 9 a) 2) 3) 729) (*.f64 (fma.f64 9 a 3) (+.f64 (*.f64 (pow.f64 (*.f64 9 a) 2) (pow.f64 (*.f64 9 a) 2)) (+.f64 81 (*.f64 (pow.f64 (*.f64 9 a) 2) 9)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 9 a) 2) 3) -729) (*.f64 (fma.f64 9 a 3) (+.f64 (pow.f64 (*.f64 9 a) 4) (+.f64 81 (*.f64 9 (pow.f64 (*.f64 9 a) 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) 81) 3) -729) (fma.f64 9 a 3)) (+.f64 (pow.f64 (*.f64 9 a) 4) (fma.f64 9 (*.f64 (*.f64 a a) 81) 81)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9)) (neg.f64 (fma.f64 9 a 3)))
(/.f64 (-.f64 9 (pow.f64 (*.f64 9 a) 2)) (+.f64 -3 (*.f64 -9 a)))
(/.f64 (-.f64 9 (*.f64 (*.f64 a a) 81)) (+.f64 -3 (*.f64 a -9)))
(/.f64 (neg.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(/.f64 (+.f64 27 (neg.f64 (*.f64 (pow.f64 a 3) 729))) (neg.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(*.f64 1 (/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (*.f64 a 27) (*.f64 (*.f64 a a) 81)))))
(*.f64 1 (/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (*.f64 (*.f64 a a) 81) (*.f64 a 27)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) 1) (fma.f64 9 a 3))
(*.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (/.f64 1 (fma.f64 9 a 3)))
(/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (fma.f64 9 a 3))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (sqrt.f64 (fma.f64 9 a 3))) (sqrt.f64 (fma.f64 9 a 3)))
(*.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (/.f64 1 (fma.f64 9 a 3)))
(/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (fma.f64 9 a 3))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (*.f64 (cbrt.f64 (fma.f64 9 a 3)) (cbrt.f64 (fma.f64 9 a 3)))) (cbrt.f64 (fma.f64 9 a 3)))
(*.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) -9) (/.f64 1 (fma.f64 9 a 3)))
(/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (fma.f64 9 a 3))
(/.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) 1) (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))
(*.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729)) (/.f64 1 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (*.f64 a 27) (*.f64 (*.f64 a a) 81))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (*.f64 (*.f64 a a) 81) (*.f64 a 27))))
(/.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(*.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729)) (/.f64 1 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (*.f64 a 27) (*.f64 (*.f64 a a) 81))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (*.f64 (*.f64 a a) 81) (*.f64 a 27))))
(/.f64 (/.f64 (+.f64 -27 (*.f64 729 (pow.f64 a 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(*.f64 (+.f64 -27 (*.f64 (pow.f64 a 3) 729)) (/.f64 1 (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 a -27)))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (*.f64 a 27) (*.f64 (*.f64 a a) 81))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 9 (+.f64 (*.f64 (*.f64 a a) 81) (*.f64 a 27))))
(pow.f64 (fma.f64 9 a -3) 1)
(fma.f64 9 a -3)
(pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)
(fma.f64 9 a -3)
(pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3)
(fma.f64 9 a -3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))
(fabs.f64 (fma.f64 9 a -3))
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)
(fma.f64 9 a -3)
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))
(fabs.f64 (fma.f64 9 a -3))
(log.f64 (exp.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 a -3))))
(fma.f64 9 a -3)
(cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3))
(fma.f64 9 a -3)
(expm1.f64 (log1p.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(exp.f64 (log.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1))
(fma.f64 9 a -3)
(log1p.f64 (expm1.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(fma.f64 9 a -3)
(fma.f64 1 (*.f64 9 a) -3)
(fma.f64 9 a -3)
(fma.f64 (sqrt.f64 (*.f64 9 a)) (sqrt.f64 (*.f64 9 a)) -3)
(fma.f64 9 a -3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2) (cbrt.f64 (*.f64 9 a)) -3)
(fma.f64 9 a -3)

eval617.0ms (4.6%)

Compiler

Compiled 30742 to 24237 computations (21.2% saved)

prune437.0ms (3.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1186101196
Fresh000
Picked101
Done202
Total1189101199
Error
0b
Counts
1199 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
35.4b
(/.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)))
0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
20.0b
(-.f64 a 1/3)
4.6b
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
1.3b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
49.6b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
43.6b
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
43.6b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
21.3b
a
Compiler

Compiled 295 to 232 computations (21.4% 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 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
0.2b
(/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
0.3b
(*.f64 3 (sqrt.f64 (+.f64 a -1/3)))
Compiler

Compiled 52 to 40 computations (23.1% saved)

series5.0ms (0%)

Counts
4 → 42
Calls

18 calls:

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

rewrite133.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1776×associate-/r*
1132×distribute-lft-in
1106×associate-/l*
402×associate-/r/
304×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01492
130288
2407188
Stop Event
node limit
Counts
4 → 206
Calls
Call 1
Inputs
(*.f64 3 (sqrt.f64 (+.f64 a -1/3)))
(/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(sqrt.f64 (+.f64 a -1/3))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))))))

simplify242.0ms (1.8%)

Algorithm
egg-herbie
Rules
1172×associate-+r+
1082×associate-+l+
826×+-commutative
638×associate-*r*
520×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058312496
1153411678
2622211678
Stop Event
node limit
Counts
248 → 316
Calls
Call 1
Inputs
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))))
(*.f64 1/3 (*.f64 (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 -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 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 1)
(pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 2)
(pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)
(pow.f64 (pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(sqrt.f64 (+.f64 -3 (*.f64 9 a)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(cbrt.f64 (pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 (+.f64 a -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 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))) 2)
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(/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (*.f64 (+.f64 a 1/3) (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)))) (*.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 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (*.f64 (-.f64 1 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand))) (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 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand))) (+.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 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (fma.f64 a a -1/9)) (*.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.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 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)))) 1) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)))) (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 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)))) (*.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 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))) 1) (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -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 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -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 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -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 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -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 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -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 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -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 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -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 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -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 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -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 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -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 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand))) (+.f64 a -1/3)) 1) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand))) (+.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 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand))) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 a -1/3)) 1) (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 a -1/3)) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)))) (+.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 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (+.f64 a 1/3)) (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand))) (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 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand))) (+.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 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (fma.f64 a a -1/9)) (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (*.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 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (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 3 (sqrt.f64 -1/3))
(+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))
(fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3)))
(fma.f64 3 (sqrt.f64 -1/3) (/.f64 3/2 (/.f64 (sqrt.f64 -1/3) a)))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(fma.f64 -3/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (fma.f64 3 (sqrt.f64 -1/3) (/.f64 3/2 (/.f64 (sqrt.f64 -1/3) a))) (*.f64 9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))))
(fma.f64 -3/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3)))))
(+.f64 (*.f64 9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3 (sqrt.f64 -1/3) (/.f64 3/2 (/.f64 (sqrt.f64 -1/3) a)))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 -3))
(*.f64 rand (*.f64 1/3 (sqrt.f64 -3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (*.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 (*.f64 -1/6 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (*.f64 a a) rand))) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (/.f64 (*.f64 -1/6 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 a (*.f64 a 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))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 (pow.f64 a 3) rand))) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (/.f64 (*.f64 -1/6 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (*.f64 a a) rand))) (sqrt.f64 -3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (*.f64 (pow.f64 a 3) rand)) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (/.f64 (*.f64 -1/6 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 a (*.f64 a rand)))) (sqrt.f64 -3)))))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1))
(+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (/.f64 (*.f64 1/2 rand) (sqrt.f64 -3))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1)))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (/.f64 (*.f64 1/2 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 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 1/18) (/.f64 (sqrt.f64 -3) rand))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (/.f64 (*.f64 1/2 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 (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 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 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) 1/18) (/.f64 (sqrt.f64 -3) rand))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))))
a
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (+.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 (+.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))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(fma.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2 (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2 (sqrt.f64 -1/3)) (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(+.f64 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) 1/2 (sqrt.f64 -1/3)) (fma.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) 1/16 (*.f64 3/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 2)
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(sqrt.f64 (+.f64 -3 (*.f64 9 a)))
(sqrt.f64 (+.f64 -3 (*.f64 a 9)))
(sqrt.f64 (fma.f64 a 9 -3))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) 3))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(cbrt.f64 (pow.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3))) 3))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 3 (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 0)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1) 1)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 (/.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand)) (-.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 -1/3 a)))))) (+.f64 1 (/.f64 rand (*.f64 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (/.f64 (+.f64 -3 (*.f64 a 9)) rand)))))
(+.f64 (/.f64 (-.f64 1 (*.f64 rand (/.f64 rand (fma.f64 a 9 -3)))) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (*.f64 rand (/.f64 rand (fma.f64 a 9 -3)))) (+.f64 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 -1/3 a))))
(*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.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 -1/3 a))))
(*.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (*.f64 (/.f64 rand (+.f64 -3 (*.f64 a 9))) rand)))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (*.f64 rand (/.f64 rand (fma.f64 a 9 -3)))))
(*.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 -3 (*.f64 9 a)) rand))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (*.f64 (/.f64 rand (+.f64 -3 (*.f64 a 9))) rand)))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) (cbrt.f64 (*.f64 rand (/.f64 rand (fma.f64 a 9 -3)))))
(*.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (*.f64 rand 1/3) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
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(fma.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)))))
(fma.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)) 3))
(fma.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1) 3)))
(fma.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(fma.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))))
(fma.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))))
(fma.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))) 1))
(fma.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1))))
(fma.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (*.f64 rand (+.f64 -1/3 a)) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))
(*.f64 (+.f64 -1/3 a) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 1 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))
(/.f64 (sqrt.f64 (+.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 -1/3 a)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))
(pow.f64 (+.f64 a -1/3) 1/2)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)
(sqrt.f64 (+.f64 -1/3 a))
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 -1/3 a))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (+.f64 -1/3 a))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2))
(sqrt.f64 (+.f64 -1/3 a))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))
(sqrt.f64 (+.f64 -1/3 a))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 -1/3 a))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite49.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify89.0ms (0.7%)

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

Useful iterations: 3 (0.0ms)

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series4.0ms (0%)

Counts
3 → 28
Calls

12 calls:

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

rewrite106.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01137
122937
2273737
Stop Event
node limit
Counts
3 → 133
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 rand)
(+.f64 a -1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.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 (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 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 (fma.f64 a a -1/9)) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a 1/3)))))) (#(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 a -1/3))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (*.f64 1/3 rand) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 1/3 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)) (*.f64 1/3 rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.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 a -1/3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.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 (pow.f64 (*.f64 1/3 rand) 2))))) (#(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 (log.f64 (+.f64 2/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 a)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) 1/4) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.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)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (+.f64 -1/27 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 (neg.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (/.f64 1 (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 (*.f64 a a) (*.f64 -1/3 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (pow.f64 a 4) (pow.f64 (+.f64 1/9 (*.f64 a 1/3)) 2))) (-.f64 (fma.f64 a a -1/9) (*.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (+.f64 1/9 (*.f64 a 1/3)) 3))) (+.f64 (pow.f64 a 4) (*.f64 (+.f64 1/9 (*.f64 a 1/3)) (-.f64 (+.f64 1/9 (*.f64 a 1/3)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/4) (pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/6) (pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (neg.f64 a) -1/3) (neg.f64 (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (fma.f64 a a -1/9))) (/.f64 (+.f64 a 1/3) (cbrt.f64 (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 6) -1/729) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (+.f64 (pow.f64 a 3) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 a 1/3) (+.f64 1/9 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (-.f64 (+.f64 (pow.f64 a 6) 1/729) (*.f64 -1/27 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a a) 3) -1/729) (*.f64 (+.f64 a 1/3) (+.f64 (+.f64 (pow.f64 a 4) 1/81) (*.f64 1/9 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a a -1/9)) (+.f64 (neg.f64 a) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 (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 (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 1 (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (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 (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)) 1) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) 1) (+.f64 (neg.f64 a) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) 1) (neg.f64 (+.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))) (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)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 1 (+.f64 a 1/3))) (+.f64 1/9 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a a) 3) -1/729) (/.f64 1 (+.f64 a 1/3))) (+.f64 (+.f64 (pow.f64 a 4) 1/81) (*.f64 1/9 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 6) -1/729) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (+.f64 (pow.f64 a 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (-.f64 (+.f64 (pow.f64 a 6) 1/729) (*.f64 -1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a a -1/9) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a a -1/9) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (exp.f64 (log.f64 (+.f64 2/3 a)))) 1) (+.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 a (/.f64 (+.f64 a 1/3) a))) (*.f64 (/.f64 1/9 (+.f64 a 1/3)) (/.f64 1/9 (+.f64 a 1/3)))) (+.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) -1/3)))))

simplify120.0ms (0.9%)

Algorithm
egg-herbie
Rules
1406×associate-/l*
1360×associate-/r*
998×times-frac
616×associate-*r/
508×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03754294972203
19894555
235634457
Stop Event
node limit
Counts
161 → 236
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.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 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 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 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) 1))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 3) 1/3)
(sqrt.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (*.f64 1/3 rand) 2)))
(log.f64 (pow.f64 (exp.f64 (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.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 (pow.f64 (*.f64 1/3 rand) 2))
(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 (log.f64 (+.f64 2/3 a))) 1)
(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
(-.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (+.f64 a 1/3)))
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)
(*.f64 (+.f64 a -1/3) 1)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1 (+.f64 a -1/3))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))
(*.f64 (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (+.f64 -1/27 (pow.f64 a 3)))
(*.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 (neg.f64 a) -1/3)))
(*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (/.f64 1 (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (+.f64 (*.f64 a a) (*.f64 -1/3 (+.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (pow.f64 a 4) (pow.f64 (+.f64 1/9 (*.f64 a 1/3)) 2))) (-.f64 (fma.f64 a a -1/9) (*.f64 a 1/3)))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (+.f64 1/9 (*.f64 a 1/3)) 3))) (+.f64 (pow.f64 a 4) (*.f64 (+.f64 1/9 (*.f64 a 1/3)) (-.f64 (+.f64 1/9 (*.f64 a 1/3)) (*.f64 a a)))))
(*.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (+.f64 a -1/3))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/4) (pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/4))
(*.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/6) (pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/6))
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 a -1/3)) 1))
(/.f64 1 (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))
(/.f64 1 (/.f64 (+.f64 (neg.f64 a) -1/3) (neg.f64 (fma.f64 a a -1/9))))
(/.f64 1 (/.f64 (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (fma.f64 a a -1/9))) (/.f64 (+.f64 a 1/3) (cbrt.f64 (fma.f64 a a -1/9))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (+.f64 (pow.f64 a 3) 1/27)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 a 1/3) (+.f64 1/9 (*.f64 a a))))
(/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (-.f64 (+.f64 (pow.f64 a 6) 1/729) (*.f64 -1/27 (pow.f64 a 3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a a) 3) -1/729) (*.f64 (+.f64 a 1/3) (+.f64 (+.f64 (pow.f64 a 4) 1/81) (*.f64 1/9 (*.f64 a a)))))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (+.f64 (neg.f64 a) -1/3))
(/.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (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 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 1 (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))
(/.f64 (*.f64 (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 (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)) 1) (-.f64 -1/3 a))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) 1) (+.f64 (neg.f64 a) -1/3))
(/.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) 1) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (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)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 1 (+.f64 a 1/3))) (+.f64 1/9 (*.f64 a a)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a a) 3) -1/729) (/.f64 1 (+.f64 a 1/3))) (+.f64 (+.f64 (pow.f64 a 4) 1/81) (*.f64 1/9 (*.f64 a a))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 6) -1/729) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (+.f64 (pow.f64 a 3) 1/27))
(/.f64 (*.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (-.f64 (+.f64 (pow.f64 a 6) 1/729) (*.f64 -1/27 (pow.f64 a 3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (fma.f64 a a -1/9) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (exp.f64 (log.f64 (+.f64 2/3 a)))) 1) (+.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 a (/.f64 (+.f64 a 1/3) a))) (*.f64 (/.f64 1/9 (+.f64 a 1/3)) (/.f64 1/9 (+.f64 a 1/3)))) (+.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (+.f64 a 1/3))))
(pow.f64 (+.f64 a -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 4)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 6)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 2/3)
(neg.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 a) -1/3)))
(neg.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(log.f64 (exp.f64 (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(exp.f64 (log.f64 (+.f64 a -1/3)))
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(fma.f64 1 a -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) -1/3)
Outputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 1/6 (sqrt.f64 -1/3)) (*.f64 rand a)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (*.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (/.f64 (*.f64 1/48 (*.f64 rand (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1/3) 5)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) a) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 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 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
-1/3
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) -1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) 1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (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 (/.f64 1/3 (/.f64 (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) rand)) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 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 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (*.f64 1/3 rand))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 rand)) (sqrt.f64 (+.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 1/3 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 (/.f64 1/3 (/.f64 (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) rand)) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 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 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))) (*.f64 1/3 rand))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (*.f64 1/3 (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))))
(/.f64 (*.f64 1/3 (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))) (/.f64 (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.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 -1/3 a))))) (*.f64 1/3 rand))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (*.f64 1/3 (*.f64 rand (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 (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) 1))
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) 1) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) 1))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 2)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 3)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 3) 1/3)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(sqrt.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (*.f64 1/3 rand) 2)))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (pow.f64 (*.f64 1/3 rand) 2)))
(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 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 3))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)))
(cbrt.f64 (*.f64 (*.f64 1/27 (pow.f64 rand 3)) (pow.f64 (+.f64 -1/3 a) 3/2)))
(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 a -1/3)) (*.f64 1/3 rand))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) -1)
(*.f64 1/3 rand)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1)
(*.f64 1/3 rand)
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(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (*.f64 (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 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(/.f64 (*.f64 1 (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (*.f64 (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 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))
(/.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) 1) (-.f64 -1/3 a))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a -1/9)) 1) (+.f64 (neg.f64 a) -1/3))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) 1) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.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))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (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)))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (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 (sqrt.f64 (+.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 (+.f64 1/3 a) 1/9))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.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 -1/3 a))))) (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 (cbrt.f64 (+.f64 1/3 a)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 1 (+.f64 a 1/3))) (+.f64 1/9 (*.f64 a a)))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 1/3 a) (+.f64 1/9 (*.f64 a a))))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 1/3 a) (fma.f64 a a 1/9)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a a) 3) -1/729) (/.f64 1 (+.f64 a 1/3))) (+.f64 (+.f64 (pow.f64 a 4) 1/81) (*.f64 1/9 (*.f64 a a))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (*.f64 (+.f64 1/3 a) (+.f64 (pow.f64 a 4) (+.f64 1/81 (*.f64 1/9 (*.f64 a a))))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (*.f64 (+.f64 1/3 a) (fma.f64 1/9 (*.f64 a a) (+.f64 (pow.f64 a 4) 1/81))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (*.f64 (+.f64 1/3 a) (+.f64 1/81 (*.f64 (*.f64 a a) (fma.f64 a a 1/9)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 6) -1/729) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (+.f64 (pow.f64 a 3) 1/27))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (+.f64 (pow.f64 a 3) 1/27)))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (*.f64 (fma.f64 a (+.f64 1/3 a) 1/9) (+.f64 (pow.f64 a 3) 1/27)))
(/.f64 (*.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (-.f64 (+.f64 (pow.f64 a 6) 1/729) (*.f64 -1/27 (pow.f64 a 3))))
(/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (+.f64 (pow.f64 a 6) (-.f64 1/729 (*.f64 (pow.f64 a 3) -1/27)))))
(/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (*.f64 (fma.f64 a (+.f64 1/3 a) 1/9) (+.f64 (pow.f64 a 6) (+.f64 1/729 (*.f64 (pow.f64 a 3) 1/27)))))
(/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (*.f64 (fma.f64 a (+.f64 1/3 a) 1/9) (+.f64 1/729 (-.f64 (pow.f64 a 6) (*.f64 (pow.f64 a 3) -1/27)))))
(/.f64 (/.f64 (fma.f64 a a -1/9) 1) (+.f64 a 1/3))
(-.f64 (*.f64 (/.f64 a (+.f64 1/3 a)) a) (/.f64 1/9 (+.f64 1/3 a)))
(fma.f64 (/.f64 a (+.f64 1/3 a)) a (/.f64 -1/9 (+.f64 1/3 a)))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(-.f64 (*.f64 (/.f64 a (+.f64 1/3 a)) a) (/.f64 1/9 (+.f64 1/3 a)))
(fma.f64 (/.f64 a (+.f64 1/3 a)) a (/.f64 -1/9 (+.f64 1/3 a)))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (/.f64 (fma.f64 a a -1/9) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(-.f64 (*.f64 (/.f64 a (+.f64 1/3 a)) a) (/.f64 1/9 (+.f64 1/3 a)))
(fma.f64 (/.f64 a (+.f64 1/3 a)) a (/.f64 -1/9 (+.f64 1/3 a)))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) (exp.f64 (log.f64 (+.f64 2/3 a)))) 1) (+.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1))
(/.f64 (fma.f64 (+.f64 a 2/3) (+.f64 a 2/3) -1) (+.f64 1 (+.f64 a 2/3)))
(/.f64 (*.f64 (+.f64 -1/3 a) (+.f64 a 5/3)) (+.f64 a 5/3))
(*.f64 (/.f64 (+.f64 a 5/3) (+.f64 a 5/3)) (+.f64 -1/3 a))
(/.f64 (-.f64 (*.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 a (/.f64 (+.f64 a 1/3) a))) (*.f64 (/.f64 1/9 (+.f64 a 1/3)) (/.f64 1/9 (+.f64 a 1/3)))) (+.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (+.f64 a 1/3))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 a (+.f64 1/3 a)) a) (*.f64 (/.f64 a (+.f64 1/3 a)) a)) (*.f64 (/.f64 1/9 (+.f64 1/3 a)) (/.f64 1/9 (+.f64 1/3 a)))) (+.f64 (*.f64 (/.f64 a (+.f64 1/3 a)) a) (/.f64 1/9 (+.f64 1/3 a))))
(/.f64 (*.f64 (fma.f64 (/.f64 a (+.f64 1/3 a)) a (/.f64 -1/9 (+.f64 1/3 a))) (fma.f64 (/.f64 a (+.f64 1/3 a)) a (/.f64 1/9 (+.f64 1/3 a)))) (fma.f64 (/.f64 a (+.f64 1/3 a)) a (/.f64 1/9 (+.f64 1/3 a))))
(*.f64 (/.f64 (fma.f64 (/.f64 a (+.f64 1/3 a)) a (/.f64 1/9 (+.f64 1/3 a))) (fma.f64 (/.f64 a (+.f64 1/3 a)) a (/.f64 1/9 (+.f64 1/3 a)))) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(pow.f64 (+.f64 a -1/3) 1)
(+.f64 -1/3 a)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(+.f64 -1/3 a)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 4)
(+.f64 -1/3 a)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 6)
(+.f64 -1/3 a)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(+.f64 -1/3 a)
(pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/2)
(sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))
(fabs.f64 (+.f64 -1/3 a))
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(+.f64 -1/3 a)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 2/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2)) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2)))
(neg.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 a) -1/3)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(neg.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9))
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))
(fabs.f64 (+.f64 -1/3 a))
(log.f64 (exp.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))
(+.f64 -1/3 a)
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(+.f64 -1/3 a)
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(+.f64 -1/3 a)
(exp.f64 (log.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(fma.f64 1 a -1/3)
(+.f64 -1/3 a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(+.f64 -1/3 a)
(fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) -1/3)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 48 to 34 computations (29.2% saved)

series3.0ms (0%)

Counts
3 → 12
Calls

15 calls:

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

rewrite98.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify94.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

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

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
0.3b
(*.f64 rand 1/9)
0.4b
(/.f64 1/9 (+.f64 a -1/3))
4.2b
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))))
Compiler

Compiled 109 to 82 computations (24.8% saved)

series13.0ms (0.1%)

Counts
4 → 58
Calls

18 calls:

TimeVariablePointExpression
4.0ms
a
@0
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))))
2.0ms
a
@-inf
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))))
2.0ms
a
@0
(/.f64 1/9 (+.f64 a -1/3))
1.0ms
a
@inf
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))))
1.0ms
rand
@inf
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))))

rewrite111.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1878×associate-/r/
430×add-sqr-sqrt
416×pow1
416×*-un-lft-identity
400×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019120
1427120
25973120
Stop Event
node limit
Counts
4 → 126
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))))
(/.f64 1/9 (+.f64 a -1/3))
(*.f64 rand 1/9)
(*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (*.f64 1/9 (/.f64 rand (+.f64 a -1/3))) (neg.f64 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (*.f64 (*.f64 1/9 (/.f64 rand (+.f64 a -1/3))) (neg.f64 rand)) (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (*.f64 1/9 (/.f64 rand (+.f64 a -1/3))) (neg.f64 rand))) (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 1/9 (/.f64 rand (+.f64 a -1/3))) (neg.f64 rand)) (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))) (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (-.f64 1 (/.f64 rand (/.f64 (-.f64 1/3 a) (*.f64 rand -1/9))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))) (-.f64 1 (*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (*.f64 1/9 (/.f64 rand (+.f64 a -1/3))) (neg.f64 rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))) (-.f64 1 (*.f64 (*.f64 (*.f64 1/9 (/.f64 rand (+.f64 a -1/3))) (neg.f64 rand)) (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) 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#<rule egg-rr> (2) ((x pow.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (pow.f64 (+.f64 a -1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 (+.f64 a -1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (sqrt.f64 rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand 1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) rand))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand 1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand 1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand 1/9)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))))))

simplify127.0ms (0.9%)

Algorithm
egg-herbie
Rules
1052×associate-/r/
770×associate-+r+
758×associate-/l/
718×+-commutative
698×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046910446
113529864
252559844
Stop Event
node limit
Counts
184 → 241
Calls
Call 1
Inputs
(*.f64 -1/3 (/.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (*.f64 a (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) rand) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 a (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) rand) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2)))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3))))) rand) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3)))) (*.f64 -1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (pow.f64 a 2))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (*.f64 3 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2)))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3))))) (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand)) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3)))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 rand (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))) (*.f64 3/2 (/.f64 (*.f64 rand (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) rand) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3))))))) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3)))) (*.f64 -1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3))))))) (pow.f64 a 3)) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 a (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) rand) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2)))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3))))) rand) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3)))) (*.f64 -1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (pow.f64 a 2)))))
a
a
(-.f64 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)
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (*.f64 -1 a)) 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (+.f64 (*.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(*.f64 1/9 rand)
(*.f64 1/9 rand)
(*.f64 1/9 rand)
(*.f64 1/9 rand)
(*.f64 1/9 rand)
(*.f64 1/9 rand)
(*.f64 1/9 rand)
(*.f64 1/9 rand)
(*.f64 1/9 rand)
(*.f64 1/9 rand)
(*.f64 1/9 rand)
(*.f64 1/9 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 (*.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 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (*.f64 1/9 (/.f64 rand (+.f64 a -1/3))) (neg.f64 rand))))
(+.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (*.f64 (*.f64 1/9 (/.f64 rand (+.f64 a -1/3))) (neg.f64 rand)) (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 (*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (*.f64 1/9 (/.f64 rand (+.f64 a -1/3))) (neg.f64 rand))) (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 (*.f64 (*.f64 (*.f64 1/9 (/.f64 rand (+.f64 a -1/3))) (neg.f64 rand)) (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))) (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (-.f64 1 (/.f64 rand (/.f64 (-.f64 1/3 a) (*.f64 rand -1/9))))))) 1)
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(log1p.f64 (expm1.f64 (*.f64 rand 1/9)))
(+.f64 1 (-.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 1))
(+.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 0)
(-.f64 (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 1)
(/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(sqrt.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))
(log.f64 (exp.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (log.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
Outputs
(*.f64 -1/3 (/.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))))
(/.f64 (*.f64 -1/3 (+.f64 1 (*.f64 1/3 (*.f64 rand rand)))) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))))
(*.f64 -1/3 (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (*.f64 a (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) rand) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))))
(fma.f64 -1/3 (/.f64 (+.f64 1 (*.f64 1/3 (*.f64 rand rand))) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 -1/2 (*.f64 rand (+.f64 1 (*.f64 1/3 (*.f64 rand rand))))) (*.f64 (sqrt.f64 -3) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2))))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 1/2 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))) (/.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (/.f64 rand (sqrt.f64 -3))))) (*.f64 -1/3 (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 1/2 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))) (*.f64 (/.f64 (sqrt.f64 -3) rand) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)))) (*.f64 -1/3 (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))))))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 a (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) rand) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2)))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3))))) rand) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3)))) (*.f64 -1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (pow.f64 a 2))))
(fma.f64 -1/3 (/.f64 (+.f64 1 (*.f64 1/3 (*.f64 rand rand))) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 -1/2 (*.f64 rand (+.f64 1 (*.f64 1/3 (*.f64 rand rand))))) (*.f64 (sqrt.f64 -3) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)))) (*.f64 (*.f64 a a) (-.f64 (*.f64 0 (/.f64 (*.f64 rand rand) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))))) (fma.f64 3/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 -1/2 (*.f64 rand (+.f64 1 (*.f64 1/3 (*.f64 rand rand))))) (*.f64 (sqrt.f64 -3) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)))) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 rand (sqrt.f64 -3))) (/.f64 (*.f64 -1/18 (*.f64 (*.f64 rand (+.f64 1 (*.f64 1/3 (*.f64 rand rand)))) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (*.f64 (sqrt.f64 -3) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2))))))))
(fma.f64 -1/3 (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (fma.f64 (*.f64 a a) (neg.f64 (fma.f64 3/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 1/2 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))) (/.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (/.f64 rand (sqrt.f64 -3))))) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 rand (sqrt.f64 -3))) (*.f64 -1/18 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)) (/.f64 rand (/.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)))))))) (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 1/2 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))) (/.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (/.f64 rand (sqrt.f64 -3))))))))
(fma.f64 -1/3 (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (fma.f64 (*.f64 a a) (neg.f64 (fma.f64 3/2 (*.f64 (/.f64 rand (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (-.f64 (/.f64 1 (*.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))))) (/.f64 (*.f64 -1/2 (*.f64 (/.f64 rand (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)) (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)))) -3))) (*.f64 -1/18 (*.f64 (/.f64 rand (*.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (/.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))))) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 1/2 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))) (*.f64 (/.f64 (sqrt.f64 -3) rand) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)))))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (*.f64 3 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2)))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3))))) (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand)) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3)))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 rand (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))) (*.f64 3/2 (/.f64 (*.f64 rand (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) rand) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3))))))) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3)))) (*.f64 -1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3))))))) (pow.f64 a 3)) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 a (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))) rand) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (/.f64 (pow.f64 rand 2) (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 -1/2 (/.f64 (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2)))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3))))) rand) (*.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) (sqrt.f64 -3)))) (*.f64 -1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 rand (-.f64 1 (*.f64 -1/3 (pow.f64 rand 2))))) (*.f64 (pow.f64 (-.f64 1 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (sqrt.f64 -3)))))) (pow.f64 a 2)))))
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 rand rand) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) 0) (fma.f64 1/6 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 -1/2 (*.f64 rand (+.f64 1 (*.f64 1/3 (*.f64 rand rand))))) (*.f64 (sqrt.f64 -3) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)))) (/.f64 (*.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (*.f64 rand (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))) (fma.f64 3/2 (*.f64 (/.f64 rand (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (-.f64 (*.f64 0 (/.f64 (*.f64 rand rand) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))))) (fma.f64 3/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 -1/2 (*.f64 rand (+.f64 1 (*.f64 1/3 (*.f64 rand rand))))) (*.f64 (sqrt.f64 -3) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)))) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 rand (sqrt.f64 -3))) (/.f64 (*.f64 -1/18 (*.f64 (*.f64 rand (+.f64 1 (*.f64 1/3 (*.f64 rand rand)))) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (*.f64 (sqrt.f64 -3) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2))))) (sqrt.f64 -3))) (*.f64 -1/18 (*.f64 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)) (/.f64 (*.f64 rand (+.f64 1 (*.f64 1/3 (*.f64 rand rand)))) (sqrt.f64 -3))))))) (pow.f64 a 3) (fma.f64 -1/3 (/.f64 (+.f64 1 (*.f64 1/3 (*.f64 rand rand))) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 -1/2 (*.f64 rand (+.f64 1 (*.f64 1/3 (*.f64 rand rand))))) (*.f64 (sqrt.f64 -3) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)))) (*.f64 (*.f64 a a) (-.f64 (*.f64 0 (/.f64 (*.f64 rand rand) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))))) (fma.f64 3/2 (*.f64 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 -1/2 (*.f64 rand (+.f64 1 (*.f64 1/3 (*.f64 rand rand))))) (*.f64 (sqrt.f64 -3) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)))) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 rand (sqrt.f64 -3))) (/.f64 (*.f64 -1/18 (*.f64 (*.f64 rand (+.f64 1 (*.f64 1/3 (*.f64 rand rand)))) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (*.f64 (sqrt.f64 -3) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)))))))))
(fma.f64 (neg.f64 (fma.f64 1/6 (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 1/2 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))) (/.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (/.f64 rand (sqrt.f64 -3))))) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))) (fma.f64 3/2 (*.f64 (/.f64 rand (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (neg.f64 (fma.f64 3/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 1/2 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))) (/.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (/.f64 rand (sqrt.f64 -3))))) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 rand (sqrt.f64 -3))) (*.f64 -1/18 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)) (/.f64 rand (/.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)))))))) (sqrt.f64 -3))) (*.f64 -1/18 (*.f64 (/.f64 rand (/.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)))) (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2))))))) (pow.f64 a 3) (fma.f64 -1/3 (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (fma.f64 (*.f64 a a) (neg.f64 (fma.f64 3/2 (*.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 1/2 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))) (/.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (/.f64 rand (sqrt.f64 -3))))) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 rand (sqrt.f64 -3))) (*.f64 -1/18 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)) (/.f64 rand (/.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)))))))) (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 1/2 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))) (/.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (/.f64 rand (sqrt.f64 -3)))))))))
(fma.f64 (neg.f64 (fma.f64 1/6 (/.f64 (*.f64 rand (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) (-.f64 (/.f64 1 (*.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))))) (/.f64 (*.f64 -1/2 (*.f64 (/.f64 rand (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)) (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)))) -3)))) (fma.f64 3/2 (*.f64 (/.f64 rand (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (neg.f64 (fma.f64 3/2 (*.f64 (/.f64 rand (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (-.f64 (/.f64 1 (*.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))))) (/.f64 (*.f64 -1/2 (*.f64 (/.f64 rand (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)) (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)))) -3))) (*.f64 -1/18 (*.f64 (/.f64 rand (*.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (/.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))))) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (sqrt.f64 -3))) (*.f64 -1/18 (*.f64 (/.f64 rand (*.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (/.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))))) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))))))) (pow.f64 a 3) (fma.f64 -1/3 (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (fma.f64 (*.f64 a a) (neg.f64 (fma.f64 3/2 (*.f64 (/.f64 rand (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (-.f64 (/.f64 1 (*.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))))) (/.f64 (*.f64 -1/2 (*.f64 (/.f64 rand (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2)) (+.f64 1 (*.f64 (*.f64 rand rand) 1/3)))) -3))) (*.f64 -1/18 (*.f64 (/.f64 rand (*.f64 (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2) (/.f64 (sqrt.f64 -3) (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))))) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3))))) (/.f64 (*.f64 1/2 (+.f64 1 (*.f64 (*.f64 rand rand) 1/3))) (*.f64 (/.f64 (sqrt.f64 -3) rand) (pow.f64 (+.f64 1 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -3)))) 2))))))))
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)
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(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 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 -1/3 a))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 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 -1/3 a))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 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 -1/3 a))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 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 -1/3 a))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 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 -1/3 a))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) -1/3))
-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 -3 (*.f64 a a) (-.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 -3 (*.f64 a a) (*.f64 (pow.f64 a 3) -9)) (-.f64 -1/3 a))
(+.f64 (fma.f64 -3 (*.f64 a a) (-.f64 -1/3 a)) (*.f64 (pow.f64 a 3) -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 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.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 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4)))))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.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 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4)))))
(*.f64 1/9 rand)
(*.f64 rand 1/9)
(*.f64 1/9 rand)
(*.f64 rand 1/9)
(*.f64 1/9 rand)
(*.f64 rand 1/9)
(*.f64 1/9 rand)
(*.f64 rand 1/9)
(*.f64 1/9 rand)
(*.f64 rand 1/9)
(*.f64 1/9 rand)
(*.f64 rand 1/9)
(*.f64 1/9 rand)
(*.f64 rand 1/9)
(*.f64 1/9 rand)
(*.f64 rand 1/9)
(*.f64 1/9 rand)
(*.f64 rand 1/9)
(*.f64 1/9 rand)
(*.f64 rand 1/9)
(*.f64 1/9 rand)
(*.f64 rand 1/9)
(*.f64 1/9 rand)
(*.f64 rand 1/9)
(*.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 rand 1/3))
(*.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 rand 1/3))
(*.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 rand 1/3))
(*.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 rand 1/3))
(*.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 rand 1/3))
(*.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 rand 1/3))
(*.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 rand 1/3))
(*.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 rand 1/3))
(*.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 rand 1/3))
(*.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 rand 1/3))
(*.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 rand 1/3))
(*.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 rand 1/3))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(*.f64 rand (*.f64 (sqrt.f64 -3) 1/3))
(+.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 rand a) (sqrt.f64 -3))))
(fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (*.f64 rand (*.f64 (sqrt.f64 -3) 1/3)))
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(sqrt.f64 (/.f64 1/81 (pow.f64 (+.f64 -1/3 a) 2)))
(log.f64 (exp.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 1/9 (+.f64 -1/3 a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 (+.f64 a -1/3)))))
(/.f64 1/9 (+.f64 -1/3 a))
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 a -1/3)) 3))
(/.f64 1/9 (+.f64 -1/3 a))
(expm1.f64 (log1p.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 1/9 (+.f64 -1/3 a))
(exp.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 1/9 (+.f64 -1/3 a))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 a -1/3))) 1))
(/.f64 1/9 (+.f64 -1/3 a))
(log1p.f64 (expm1.f64 (/.f64 1/9 (+.f64 a -1/3))))
(/.f64 1/9 (+.f64 -1/3 a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand 1/9))) 1)
(*.f64 rand 1/9)
(pow.f64 (*.f64 rand 1/9) 1)
(*.f64 rand 1/9)
(pow.f64 (*.f64 1/3 (sqrt.f64 rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 rand 1/9)) 3)
(*.f64 rand 1/9)
(pow.f64 (pow.f64 (*.f64 rand 1/9) 3) 1/3)
(*.f64 rand 1/9)
(sqrt.f64 (*.f64 1/81 (*.f64 rand rand)))
(sqrt.f64 (*.f64 (*.f64 rand rand) 1/81))
(sqrt.f64 (*.f64 rand (*.f64 rand 1/81)))
(log.f64 (pow.f64 (exp.f64 1/9) rand))
(*.f64 rand 1/9)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand 1/9))))
(*.f64 rand 1/9)
(cbrt.f64 (pow.f64 (*.f64 rand 1/9) 3))
(*.f64 rand 1/9)
(expm1.f64 (log1p.f64 (*.f64 rand 1/9)))
(*.f64 rand 1/9)
(exp.f64 (log.f64 (*.f64 rand 1/9)))
(*.f64 rand 1/9)
(exp.f64 (*.f64 (log.f64 (*.f64 rand 1/9)) 1))
(*.f64 rand 1/9)
(log1p.f64 (expm1.f64 (*.f64 rand 1/9)))
(*.f64 rand 1/9)
(+.f64 1 (-.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 1))
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(+.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 0)
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(-.f64 (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 1)
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 1)
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 2)
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 3)
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(pow.f64 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(sqrt.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand)))
(sqrt.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 -1/3 a))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 -1/3 a)))
(log.f64 (exp.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3))
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(exp.f64 (log.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 1))
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 1 (+.f64 -1 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))

eval730.0ms (5.5%)

Compiler

Compiled 28466 to 22352 computations (21.5% saved)

prune333.0ms (2.5%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New107481082
Fresh235
Picked101
Done044
Total1077151092
Error
0b
Counts
1092 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
43.9b
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
1.3b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
20.0b
(-.f64 a 1/3)
5.5b
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 a))))) (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
1.3b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
47.7b
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))) (*.f64 1/3 rand))
43.6b
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a -1/3)))) (*.f64 1/3 rand))
43.6b
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
44.6b
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
43.6b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
60.2b
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
21.3b
a
63.0b
-1/3
Compiler

Compiled 299 to 233 computations (22.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 a -1/3)
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
0.1b
(sqrt.f64 (*.f64 9 a))
0.2b
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
Compiler

Compiled 43 to 31 computations (27.9% saved)

series22.0ms (0.2%)

Counts
3 → 26
Calls

15 calls:

TimeVariablePointExpression
12.0ms
rand
@inf
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
4.0ms
a
@inf
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
1.0ms
rand
@0
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
0.0ms
a
@0
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
0.0ms
a
@0
(/.f64 rand (sqrt.f64 (*.f64 9 a)))

rewrite133.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1422×associate-/r*
1122×distribute-lft-in
936×associate-/l*
298×associate-/r/
298×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01463
130259
2399759
Stop Event
node limit
Counts
3 → 189
Calls
Call 1
Inputs
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
(sqrt.f64 (*.f64 9 a))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 -1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 rand (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 9 a) 1/4)) (/.f64 rand (pow.f64 (*.f64 9 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 9 a))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (sqrt.f64 a)) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 9 a))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (pow.f64 (*.f64 9 a) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (*.f64 9 a) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 3 (sqrt.f64 a))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 3 (sqrt.f64 a)) (cbrt.f64 (*.f64 rand rand)))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 rand -3) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))))
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(sqrt.f64 a))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))))))

simplify123.0ms (0.9%)

Algorithm
egg-herbie
Rules
1558×associate-/l/
928×associate-+r+
918×associate-+l+
686×associate-/r/
598×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04659403
112219115
246139073
Stop Event
node limit
Counts
215 → 275
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 0)
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))
(-.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(*.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(*.f64 (neg.f64 rand) (/.f64 -1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 1 (pow.f64 (*.f64 9 a) 1/4)) (/.f64 rand (pow.f64 (*.f64 9 a) 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 9 a))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))
(*.f64 (/.f64 -1/3 (sqrt.f64 a)) (neg.f64 rand))
(*.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))))
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(/.f64 (/.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 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 (/.f64 1/3 (sqrt.f64 a)) 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 (/.f64 1/3 (sqrt.f64 a)) 1)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (+.f64 a -1/3)) 1) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (+.f64 a -1/3)) (sqrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (sqrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 a -1/3)) 1) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 a -1/3)) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a)))) (+.f64 a 1/3)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (+.f64 a 1/3)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (fma.f64 a a -1/9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (fma.f64 a a -1/9)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 (+.f64 a -1/3)) rand) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 0)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(-.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1))
(-.f64 (-.f64 (/.f64 1 (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) (/.f64 (*.f64 rand rand) (*.f64 (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (*.f64 a 9)))) 1)
(+.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (/.f64 rand (/.f64 9 (/.f64 rand a)))) (+.f64 1 (*.f64 rand (/.f64 -1/3 (sqrt.f64 a))))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(*.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a))))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))) (cbrt.f64 (/.f64 rand (/.f64 9 (/.f64 rand a)))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a))))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))) (cbrt.f64 (/.f64 rand (/.f64 9 (/.f64 rand a)))))
(*.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (/.f64 1/3 (sqrt.f64 a)) (cbrt.f64 rand)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 rand)))
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(*.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))))
(*.f64 (-.f64 1 (/.f64 rand (/.f64 9 (/.f64 rand a)))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (+.f64 1 (*.f64 rand (/.f64 -1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1 (*.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1)))))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1 (*.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3))) (*.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (-.f64 (/.f64 rand (/.f64 9 (/.f64 rand a))) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (fma.f64 a a -1/9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 a 1/3))
(*.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(*.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (/.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))))
(*.f64 (fma.f64 a a -1/9) (/.f64 (-.f64 1 (/.f64 rand (/.f64 9 (/.f64 rand a)))) (*.f64 (+.f64 1 (*.f64 rand (/.f64 -1/3 (sqrt.f64 a)))) (+.f64 1/3 a))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))))
(*.f64 (-.f64 1 (/.f64 rand (/.f64 9 (/.f64 rand a)))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (+.f64 1 (*.f64 rand (/.f64 -1/3 (sqrt.f64 a)))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (fma.f64 a a -1/9)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.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 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))))
(*.f64 (+.f64 1 (*.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3))) (/.f64 (fma.f64 a a -1/9) (*.f64 (+.f64 1/3 a) (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1)))))
(*.f64 (+.f64 1 (*.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3))) (/.f64 (fma.f64 a a -1/9) (*.f64 (+.f64 1/3 a) (-.f64 (/.f64 rand (/.f64 9 (/.f64 rand a))) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1 (*.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3))) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1)))))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 1 (*.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3))) (*.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (-.f64 (/.f64 rand (/.f64 9 (/.f64 rand a))) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) -1)))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 1)
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 3)
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3) 1/3)
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3)) 2))
(fabs.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3)))
(fabs.f64 (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3)))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 1))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 16 to 9 computations (43.8% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite52.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify41.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 -1/3 a)
0.2b
(*.f64 1/9 (*.f64 rand rand))
7.7b
(*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand)))
24.7b
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
Compiler

Compiled 36 to 20 computations (44.4% saved)

series4.0ms (0%)

Counts
4 → 64
Calls

18 calls:

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

rewrite85.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1120×*-commutative
784×unswap-sqr
668×swap-sqr
570×associate-*r/
510×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01274
125368
2308168
Stop Event
node limit
Counts
4 → 180
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 1/9 (*.f64 rand rand))
(+.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 rand 1/3)))) 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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))))))))) (#(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 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 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egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))))))
((#(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 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 (*.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 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 (*.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 (*.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 (exp.f64 (log1p.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/9 (*.f64 rand rand)) (/.f64 1 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (-.f64 -1/3 a) (*.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 1/9 (*.f64 a a))) (-.f64 -1/3 a))))) (#(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 rand rand) (*.f64 1/9 (-.f64 1/9 (*.f64 a a)))) (-.f64 -1/3 a))))) (#(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 (*.f64 a a) 1/9)) (-.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (neg.f64 (-.f64 1/9 (*.f64 a a)))) (neg.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.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 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 -1/3 a))) (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 -1/3 a))) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (cbrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a a) 1/9) (*.f64 1/9 (*.f64 rand rand))) (-.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 1/9 (*.f64 rand rand))) (neg.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (*.f64 1/9 (*.f64 rand rand))) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (-.f64 1/9 (*.f64 a a))) 1) (-.f64 -1/3 a))))) (#(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 -1/3 a)))) (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 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 -1/3 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 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (*.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 (-.f64 1/9 (*.f64 a a))) (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 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pow.f64 (pow.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 3) (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 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((#(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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 a)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)) (cbrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 a 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simplify115.0ms (0.9%)

Algorithm
egg-herbie
Rules
1140×associate-*r*
990×associate-*l*
918×associate-/l*
536×+-commutative
516×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04657904
113267238
266457238
Stop Event
node limit
Counts
244 → 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 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))
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))) 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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 1)
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (pow.f64 1 1/2))
(*.f64 1 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))
(*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))))))
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 2)))
(*.f64 (pow.f64 1 1/2) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 2) 1/2))
(*.f64 (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1/2) rand)
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))))) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))))) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 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 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))
(/.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 (-.f64 1/9 (*.f64 a a))) (*.f64 rand 1/3)) (sqrt.f64 (-.f64 -1/3 a)))
(pow.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))) 1/2)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) 1/3)
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))
(+.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) (*.f64 a (*.f64 1/9 (*.f64 rand rand))))
(+.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) (*.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 1 (*.f64 a (*.f64 1/9 (*.f64 rand rand)))) (*.f64 1 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand)))))
(+.f64 (*.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) 1) (*.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) 1))
(+.f64 (*.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) 1) (*.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))))) 1)
(/.f64 (*.f64 1/9 (*.f64 rand rand)) (/.f64 1 (+.f64 -1/3 a)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (-.f64 -1/3 a) (*.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 1/9 (*.f64 a a))) (-.f64 -1/3 a))
(/.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 rand rand) (*.f64 1/9 (-.f64 1/9 (*.f64 a a)))) (-.f64 -1/3 a))
(/.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 (*.f64 a a) 1/9)) (-.f64 a -1/3))
(/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (neg.f64 (-.f64 1/9 (*.f64 a a)))) (neg.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (-.f64 1/9 (*.f64 a a)))) (-.f64 -1/3 a))
(/.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 -1/3 a))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (-.f64 (*.f64 a a) 1/9) (*.f64 1/9 (*.f64 rand rand))) (-.f64 a -1/3))
(/.f64 (*.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 1/9 (*.f64 rand rand))) (neg.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (*.f64 1/9 (*.f64 rand rand))) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (-.f64 1/9 (*.f64 a a))) 1) (-.f64 -1/3 a))
(/.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 -1/3 a)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 (*.f64 1/9 (*.f64 rand rand)) (sqrt.f64 (+.f64 -1/3 a)))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (*.f64 rand 1/3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (*.f64 rand 1/3))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (*.f64 1/9 (-.f64 1/9 (*.f64 a a))) (*.f64 rand rand)) (-.f64 -1/3 a))
(/.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)) (-.f64 1/9 (*.f64 a a))) 1) (-.f64 -1/3 a))
(/.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (-.f64 1/9 (*.f64 a a))) (*.f64 (cbrt.f64 (-.f64 -1/3 a)) (cbrt.f64 (-.f64 -1/3 a)))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (/.f64 (*.f64 (*.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 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))) 1)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))) 2))
(log.f64 (exp.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 3) (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))
(exp.f64 (log.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))
(-.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))))
(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)
(*.f64 (+.f64 -1/3 a) 1)
(*.f64 1 (+.f64 -1/3 a))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)) (cbrt.f64 (+.f64 -1/3 a)))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(*.f64 (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (+.f64 -1/27 (pow.f64 a 3)))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (+.f64 -1/3 a))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 -1/3 a))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1/81 (*.f64 (*.f64 a (+.f64 a 1/3)) (*.f64 a (+.f64 a 1/3))))) (-.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/729 (pow.f64 (*.f64 a (+.f64 a 1/3)) 3))) (+.f64 1/81 (*.f64 (*.f64 a (+.f64 a 1/3)) (-.f64 (*.f64 a (+.f64 a 1/3)) 1/9))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a)))) (*.f64 (cbrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3/2) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/6) (pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/6))
(/.f64 1 (/.f64 1 (+.f64 -1/3 a)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 (-.f64 -1/3 a) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (/.f64 (-.f64 -1/3 a) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))))
(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3))
(/.f64 (-.f64 1/729 (*.f64 (pow.f64 a 3) (pow.f64 a 3))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (-.f64 -1/27 (pow.f64 a 3))))
(/.f64 (-.f64 1/81 (*.f64 a (pow.f64 a 3))) (*.f64 (-.f64 -1/3 a) (+.f64 1/9 (*.f64 a a))))
(/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (+.f64 1/729 (*.f64 (pow.f64 a 3) (-.f64 (pow.f64 a 3) -1/27)))))
(/.f64 (-.f64 1/729 (pow.f64 (*.f64 a a) 3)) (*.f64 (-.f64 -1/3 a) (+.f64 1/81 (*.f64 (*.f64 a a) (+.f64 1/9 (*.f64 a a))))))
(/.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) (neg.f64 (-.f64 -1/3 a)))
(/.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 a a) 1/9)) (-.f64 a -1/3))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (-.f64 (*.f64 a a) 1/9) 1) (-.f64 a -1/3))
(/.f64 (*.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) 1) (neg.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) 1) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (-.f64 1/81 (*.f64 a (pow.f64 a 3))) (/.f64 1 (-.f64 -1/3 a))) (+.f64 1/9 (*.f64 a a)))
(/.f64 (*.f64 (-.f64 1/729 (pow.f64 (*.f64 a a) 3)) (/.f64 1 (-.f64 -1/3 a))) (+.f64 1/81 (*.f64 (*.f64 a a) (+.f64 1/9 (*.f64 a a)))))
(/.f64 (*.f64 (-.f64 1/729 (*.f64 (pow.f64 a 3) (pow.f64 a 3))) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (-.f64 -1/27 (pow.f64 a 3)))
(/.f64 (*.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (+.f64 1/729 (*.f64 (pow.f64 a 3) (-.f64 (pow.f64 a 3) -1/27))))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) 1) (-.f64 -1/3 a))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (cbrt.f64 (-.f64 -1/3 a)) (cbrt.f64 (-.f64 -1/3 a)))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(pow.f64 (+.f64 -1/3 a) 1)
(pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 2)
(pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/3)
(neg.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (neg.f64 (-.f64 -1/3 a))))
(neg.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3))))))
(sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))
(log.f64 (exp.f64 (+.f64 -1/3 a)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 a))))
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3))
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(exp.f64 (log.f64 (+.f64 -1/3 a)))
(log1p.f64 (expm1.f64 (+.f64 -1/3 a)))
(fma.f64 1 a -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
Outputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (/.f64 (*.f64 1/6 (*.f64 rand a)) (sqrt.f64 -1/3)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (*.f64 rand a))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (/.f64 (*.f64 1/48 (*.f64 rand (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1/3) 5)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 -1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 -1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 -1/27 (pow.f64 rand 2))
(*.f64 -1/27 (*.f64 rand rand))
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(+.f64 (*.f64 1/9 (*.f64 a (pow.f64 rand 2))) (*.f64 -1/27 (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(+.f64 (*.f64 -1/27 (pow.f64 rand 2)) (*.f64 1/9 (*.f64 a (pow.f64 rand 2))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (*.f64 (-.f64 a 1/3) (pow.f64 rand 2)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
-1/3
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))) 1)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 rand (pow.f64 (+.f64 -1/27 (*.f64 a 1/9)) 1/2))
(*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))))
(*.f64 rand (sqrt.f64 (fma.f64 a 1/9 -1/27)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 1)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) (pow.f64 1 1/2))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))) (cbrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))) (cbrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))) 2)))
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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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
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(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
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(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) (*.f64 (cbrt.f64 (*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))))
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(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
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(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand)))) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) (*.f64 (cbrt.f64 (*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))) (cbrt.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) 3/2))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) 1/6))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(/.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 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (*.f64 1/3 rand))
(/.f64 (*.f64 (*.f64 rand 1/3) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.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 (-.f64 1/9 (*.f64 a a))))
(/.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 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (*.f64 1/3 rand))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 rand 1/3)) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.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 (-.f64 1/9 (*.f64 a a))))
(pow.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))) 1/2)
(sqrt.f64 (*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand)))
(sqrt.f64 (*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand)))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 1)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) 2)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))) 3)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3) 1/3)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 rand 1/3)))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3)) 3))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 rand 1/3))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) (*.f64 a (*.f64 1/9 (*.f64 rand rand))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(+.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
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(+.f64 (*.f64 1 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand)))) (*.f64 1 (*.f64 a (*.f64 1/9 (*.f64 rand rand)))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
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(+.f64 (*.f64 1 (*.f64 a (*.f64 1/9 (*.f64 rand rand)))) (*.f64 1 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand)))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(+.f64 (*.f64 (*.f64 -1/3 (*.f64 1/9 (*.f64 rand rand))) 1) (*.f64 (*.f64 a (*.f64 1/9 (*.f64 rand rand))) 1))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.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 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))))) 1)
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(/.f64 (*.f64 1/9 (*.f64 rand rand)) (/.f64 1 (+.f64 -1/3 a)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
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(/.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 (-.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (*.f64 rand (*.f64 rand 1/9)) (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)))
(/.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 (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 1/9 (*.f64 rand rand)) (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (*.f64 rand (*.f64 rand 1/9)) (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)))
(/.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 (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 rand rand) (*.f64 1/9 (-.f64 1/9 (*.f64 a a)))) (-.f64 -1/3 a))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (*.f64 rand (*.f64 rand 1/9)) (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)))
(/.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 (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 1/9 (*.f64 rand rand)) (-.f64 (*.f64 a a) 1/9)) (-.f64 a -1/3))
(/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 -1/9 (/.f64 (*.f64 rand (*.f64 rand (fma.f64 a a -1/9))) (-.f64 -1/3 a)))
(/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (neg.f64 (-.f64 1/9 (*.f64 a a)))) (neg.f64 (-.f64 -1/3 a)))
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(*.f64 -1/9 (/.f64 (*.f64 rand (*.f64 rand (fma.f64 a a -1/9))) (-.f64 -1/3 a)))
(/.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 1/27 (neg.f64 (pow.f64 a 3)))) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (/.f64 (-.f64 -1/9 (*.f64 a (+.f64 1/3 a))) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 (/.f64 (-.f64 1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 -1/3 a) -1/9)) (*.f64 rand (*.f64 rand 1/9)))
(/.f64 (*.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (-.f64 1/9 (*.f64 a a)))) (-.f64 -1/3 a))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)) (*.f64 1/9 (*.f64 rand rand)))
(*.f64 (*.f64 rand (*.f64 rand 1/9)) (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)))
(/.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))))
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(*.f64 (*.f64 rand (*.f64 rand 1/9)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9)))
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(*.f64 (*.f64 rand (*.f64 rand 1/9)) (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a)))
(/.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))))
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(*.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)))))
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(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
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(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
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(pow.f64 (pow.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))) 2) 1/2)
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(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
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(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9))))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
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(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 3) (pow.f64 (*.f64 1/9 (*.f64 rand rand)) 3)))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(exp.f64 (log.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 rand rand) (+.f64 -1/27 (*.f64 a 1/9)))))
(*.f64 (+.f64 -1/27 (*.f64 a 1/9)) (*.f64 rand rand))
(*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/9 (*.f64 rand rand)))) 1)
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(*.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)
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(*.f64 1/9 (*.f64 rand rand))
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(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
(+.f64 (exp.f64 (log1p.f64 a)) -4/3)
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(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)
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(*.f64 (/.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/81 (*.f64 (*.f64 a (+.f64 1/3 a)) (*.f64 a (-.f64 -1/3 a))))) (+.f64 1/9 (*.f64 a (-.f64 -1/3 a))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/729 (pow.f64 (*.f64 a (+.f64 a 1/3)) 3))) (+.f64 1/81 (*.f64 (*.f64 a (+.f64 a 1/3)) (-.f64 (*.f64 a (+.f64 a 1/3)) 1/9))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1/81 (*.f64 (*.f64 a (+.f64 1/3 a)) (fma.f64 a (+.f64 1/3 a) -1/9)))) (+.f64 1/729 (pow.f64 (*.f64 a (+.f64 1/3 a)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (*.f64 (+.f64 1/3 a) (fma.f64 a (+.f64 1/3 a) -1/9)) 1/81)) (+.f64 1/729 (pow.f64 (*.f64 a (+.f64 1/3 a)) 3)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a))))
(+.f64 -1/3 a)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a)))) (*.f64 (cbrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a)))))
(+.f64 -1/3 a)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3/2) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3/2))
(+.f64 -1/3 a)
(*.f64 (pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/6) (pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/6))
(+.f64 -1/3 a)
(/.f64 1 (/.f64 1 (+.f64 -1/3 a)))
(+.f64 -1/3 a)
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (fma.f64 a (+.f64 1/3 a) 1/9) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 (-.f64 -1/3 a) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a)) (sqrt.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (/.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (/.f64 (fma.f64 a (+.f64 1/3 a) 1/9) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (/.f64 (-.f64 -1/3 a) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))))
(/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 (/.f64 (-.f64 -1/3 a) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))))
(*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 (-.f64 -1/3 a) (cbrt.f64 (-.f64 1/9 (*.f64 a a))))))
(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (-.f64 1/729 (*.f64 (pow.f64 a 3) (pow.f64 a 3))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (-.f64 -1/27 (pow.f64 a 3))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (-.f64 -1/27 (pow.f64 a 3))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (*.f64 (fma.f64 a (+.f64 1/3 a) 1/9) (-.f64 -1/27 (pow.f64 a 3))))
(/.f64 (-.f64 1/81 (*.f64 a (pow.f64 a 3))) (*.f64 (-.f64 -1/3 a) (+.f64 1/9 (*.f64 a a))))
(/.f64 (-.f64 1/81 (pow.f64 a 4)) (*.f64 (-.f64 -1/3 a) (fma.f64 a a 1/9)))
(/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))) (+.f64 1/729 (*.f64 (pow.f64 a 3) (-.f64 (pow.f64 a 3) -1/27)))))
(/.f64 (/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (+.f64 1/729 (*.f64 (pow.f64 a 3) (+.f64 (pow.f64 a 3) 1/27))))
(/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (*.f64 (fma.f64 a (+.f64 1/3 a) 1/9) (fma.f64 (pow.f64 a 3) (+.f64 (pow.f64 a 3) 1/27) 1/729)))
(/.f64 (-.f64 1/729 (pow.f64 (*.f64 a a) 3)) (*.f64 (-.f64 -1/3 a) (+.f64 1/81 (*.f64 (*.f64 a a) (+.f64 1/9 (*.f64 a a))))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 a 6)) (-.f64 -1/3 a)) (+.f64 1/81 (*.f64 a (*.f64 a (+.f64 1/9 (*.f64 a a))))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 a 6)) (-.f64 -1/3 a)) (fma.f64 (*.f64 a a) (fma.f64 a a 1/9) 1/81))
(/.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) (neg.f64 (-.f64 -1/3 a)))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (-.f64 -1/9 (*.f64 a (+.f64 1/3 a))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 -1/3 a) -1/9))
(/.f64 (*.f64 1 (-.f64 (*.f64 a a) 1/9)) (-.f64 a -1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.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))) (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (sqrt.f64 (-.f64 -1/3 a)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 1/9 (*.f64 a a))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)) (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)) (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 (cbrt.f64 (-.f64 -1/3 a)) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 a a) 1/9) 1) (-.f64 a -1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (*.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) 1) (neg.f64 (-.f64 -1/3 a)))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (*.f64 (+.f64 1/27 (neg.f64 (pow.f64 a 3))) 1) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (-.f64 -1/9 (*.f64 a (+.f64 1/3 a))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 -1/3 a) -1/9))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.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))) (sqrt.f64 (+.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 (sqrt.f64 (-.f64 -1/3 a)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 1/9 (*.f64 a a))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)) (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))) (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 (cbrt.f64 (-.f64 -1/3 a)) (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2))))
(/.f64 (*.f64 (-.f64 1/81 (*.f64 a (pow.f64 a 3))) (/.f64 1 (-.f64 -1/3 a))) (+.f64 1/9 (*.f64 a a)))
(/.f64 (-.f64 1/81 (*.f64 a (pow.f64 a 3))) (*.f64 (-.f64 -1/3 a) (+.f64 1/9 (*.f64 a a))))
(/.f64 (-.f64 1/81 (pow.f64 a 4)) (*.f64 (-.f64 -1/3 a) (fma.f64 a a 1/9)))
(/.f64 (*.f64 (-.f64 1/729 (pow.f64 (*.f64 a a) 3)) (/.f64 1 (-.f64 -1/3 a))) (+.f64 1/81 (*.f64 (*.f64 a a) (+.f64 1/9 (*.f64 a a)))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 a 6)) (-.f64 -1/3 a)) (+.f64 1/81 (*.f64 a (*.f64 a (+.f64 1/9 (*.f64 a a))))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 a 6)) (-.f64 -1/3 a)) (fma.f64 (*.f64 a a) (fma.f64 a a 1/9) 1/81))
(/.f64 (*.f64 (-.f64 1/729 (*.f64 (pow.f64 a 3) (pow.f64 a 3))) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (-.f64 -1/27 (pow.f64 a 3)))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a))) (-.f64 -1/27 (pow.f64 a 3))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (*.f64 (fma.f64 a (+.f64 1/3 a) 1/9) (-.f64 -1/27 (pow.f64 a 3))))
(/.f64 (*.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (+.f64 1/729 (*.f64 (pow.f64 a 3) (-.f64 (pow.f64 a 3) -1/27))))
(/.f64 (/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (+.f64 1/729 (*.f64 (pow.f64 a 3) (+.f64 (pow.f64 a 3) 1/27))))
(/.f64 (+.f64 -1/19683 (pow.f64 (pow.f64 a 3) 3)) (*.f64 (fma.f64 a (+.f64 1/3 a) 1/9) (fma.f64 (pow.f64 a 3) (+.f64 (pow.f64 a 3) 1/27) 1/729)))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) 1) (-.f64 -1/3 a))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 (cbrt.f64 (-.f64 -1/3 a)) (cbrt.f64 (-.f64 -1/3 a)))) (cbrt.f64 (-.f64 -1/3 a)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3))))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a (+.f64 1/3 a) 1/9))
(pow.f64 (+.f64 -1/3 a) 1)
(+.f64 -1/3 a)
(pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 2)
(+.f64 -1/3 a)
(pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3)
(+.f64 -1/3 a)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/3)
(+.f64 -1/3 a)
(neg.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (neg.f64 (-.f64 -1/3 a))))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(neg.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 -1/9 (neg.f64 (*.f64 a (+.f64 a 1/3))))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (-.f64 -1/9 (*.f64 a (+.f64 1/3 a))))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 -1/3 a) -1/9))
(sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))
(fabs.f64 (+.f64 -1/3 a))
(log.f64 (exp.f64 (+.f64 -1/3 a)))
(+.f64 -1/3 a)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 a))))
(+.f64 -1/3 a)
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3))
(+.f64 -1/3 a)
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(+.f64 -1/3 a)
(exp.f64 (log.f64 (+.f64 -1/3 a)))
(+.f64 -1/3 a)
(log1p.f64 (expm1.f64 (+.f64 -1/3 a)))
(+.f64 -1/3 a)
(fma.f64 1 a -1/3)
(+.f64 -1/3 a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(+.f64 -1/3 a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
(+.f64 -1/3 a)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 a 1/3)
0.2b
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
26.1b
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
Compiler

Compiled 31 to 21 computations (32.3% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite90.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1496×associate-/r*
1452×associate-*l/
980×*-commutative
832×associate-/l*
658×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01155
123827
2302427
Stop Event
node limit
Counts
3 → 270
Calls
Call 1
Inputs
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(+.f64 a 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 a a -1/9)) a) (*.f64 (/.f64 1 (fma.f64 a a -1/9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 a a -1/9)) 1/3) (*.f64 (/.f64 1 (fma.f64 a a -1/9)) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a 1/3) (/.f64 1 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a 1/3)) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 1 (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 (sqrt.f64 (+.f64 a 1/3)) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (/.f64 1 (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) 2) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1/3 a) (/.f64 -1 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 1 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 a 1/3)) (/.f64 1 (fma.f64 a a -1/9))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a a -1/9))) (/.f64 1 (sqrt.f64 (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 a a -1/9))) (/.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (/.f64 (+.f64 a 1/3) (cbrt.f64 (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a 1/3) (cbrt.f64 (fma.f64 a a -1/9))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 a a -1/9)) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 a 1/3)) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) 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(/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1 (fma.f64 a a -1/9))) (sqrt.f64 (fma.f64 a a -1/9))) (/.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1 (fma.f64 a a -1/9))) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (/.f64 (+.f64 a 1/3) (cbrt.f64 (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1 (fma.f64 a a -1/9))) (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1 (fma.f64 a a -1/9))) (/.f64 (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 (fma.f64 a a -1/9) (/.f64 1 (fma.f64 a a -1/9))) (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1 (fma.f64 a a -1/9))) (-.f64 (pow.f64 a 3) 1/27)) (+.f64 (*.f64 a a) (+.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 1/27 (pow.f64 a 3))) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (-.f64 1/9 (*.f64 a 1/3)) (-.f64 1/9 (*.f64 a 1/3))))) (+.f64 (fma.f64 a a -1/9) (*.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 1/27 (pow.f64 a 3))) (+.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (-.f64 1/9 (*.f64 a 1/3)) 3))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (*.f64 (-.f64 1/9 (*.f64 a 1/3)) (-.f64 1/9 (*.f64 a 1/3))) (*.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 a -1/3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 a -1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 -1/9 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/9 (+.f64 a 1/3)) (/.f64 (*.f64 a a) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 (*.f64 a a) (+.f64 a 1/3))) (*.f64 1 (/.f64 -1/9 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) a) (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (/.f64 (*.f64 a a) (+.f64 a 1/3))) (*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (/.f64 -1/9 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/27 (pow.f64 a 3))) (*.f64 a a)) (*.f64 (/.f64 (fma.f64 a a 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 4/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) 1/3)))))

simplify92.0ms (0.7%)

Algorithm
egg-herbie
Rules
978×associate-/l*
908×associate-*r*
886×associate-/r*
748×associate-*l*
686×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06027722
118257192
Stop Event
node limit
Counts
306 → 369
Calls
Call 1
Inputs
-3
(-.f64 (*.f64 -9 a) 3)
(-.f64 (+.f64 (*.f64 -27 (pow.f64 a 2)) (*.f64 -9 a)) 3)
(-.f64 (+.f64 (*.f64 -27 (pow.f64 a 2)) (+.f64 (*.f64 -9 a) (*.f64 -81 (pow.f64 a 3)))) 3)
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
1/3
(+.f64 1/3 a)
(+.f64 1/3 a)
(+.f64 1/3 a)
a
(+.f64 1/3 a)
(+.f64 1/3 a)
(+.f64 1/3 a)
a
(+.f64 1/3 a)
(+.f64 1/3 a)
(+.f64 1/3 a)
(+.f64 (*.f64 (/.f64 1 (fma.f64 a a -1/9)) a) (*.f64 (/.f64 1 (fma.f64 a a -1/9)) 1/3))
(+.f64 (*.f64 (/.f64 1 (fma.f64 a a -1/9)) 1/3) (*.f64 (/.f64 1 (fma.f64 a a -1/9)) a))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 a -1/3)))) 1)
(*.f64 (+.f64 a 1/3) (/.f64 1 (fma.f64 a a -1/9)))
(*.f64 (/.f64 1 (+.f64 a -1/3)) 1)
(*.f64 1 (/.f64 1 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (+.f64 a 1/3)) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 1 (fma.f64 a a -1/9))))
(*.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 (sqrt.f64 (+.f64 a 1/3)) (fma.f64 a a -1/9)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (/.f64 1 (fma.f64 a a -1/9))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) 2) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(*.f64 (-.f64 -1/3 a) (/.f64 -1 (fma.f64 a a -1/9)))
(*.f64 -1 (/.f64 -1 (+.f64 a -1/3)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 1 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 a 1/3)) (/.f64 1 (fma.f64 a a -1/9))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(*.f64 (/.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a a -1/9))) (/.f64 1 (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 a a -1/9))) (/.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (/.f64 (+.f64 a 1/3) (cbrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (+.f64 a 1/3) (cbrt.f64 (fma.f64 a a -1/9))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)))
(*.f64 (/.f64 -1 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a 1/3)) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a 1/3)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 a 1/3)) (cbrt.f64 (fma.f64 a a -1/9))))
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(*.f64 (+.f64 1/27 (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(*.f64 (*.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)) (/.f64 1 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(*.f64 (/.f64 1 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))) (+.f64 1/27 (pow.f64 a 3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (fma.f64 a a -1/9))) (/.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (/.f64 (+.f64 a 1/3) (cbrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) -1) (/.f64 -1 (+.f64 a -1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (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 1/9 (*.f64 a a))) (-.f64 -1/3 a))
(*.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))) (cbrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 (pow.f64 a 3) 1/27)) (+.f64 (*.f64 a a) (+.f64 1/9 (*.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 1/27 (pow.f64 a 3)) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (-.f64 1/9 (*.f64 a 1/3)) (-.f64 1/9 (*.f64 a 1/3))))) (+.f64 (fma.f64 a a -1/9) (*.f64 a 1/3)))
(*.f64 (/.f64 (+.f64 1/27 (pow.f64 a 3)) (+.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (-.f64 1/9 (*.f64 a 1/3)) 3))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (*.f64 (-.f64 1/9 (*.f64 a 1/3)) (-.f64 1/9 (*.f64 a 1/3))) (*.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a 1/3))))))
(/.f64 (+.f64 a 1/3) 1)
(/.f64 (fma.f64 a a -1/9) (+.f64 a -1/3))
(/.f64 1 (/.f64 -1 (-.f64 -1/3 a)))
(/.f64 1 (/.f64 (neg.f64 (+.f64 a -1/3)) (-.f64 1/9 (*.f64 a a))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 (neg.f64 (+.f64 a -1/3)) (neg.f64 (sqrt.f64 (fma.f64 a a -1/9)))))
(/.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 1 (sqrt.f64 (+.f64 a 1/3))))
(/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 (+.f64 a -1/3) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a a -1/9))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (/.f64 (neg.f64 (+.f64 a -1/3)) (neg.f64 (cbrt.f64 (fma.f64 a a -1/9)))))
(/.f64 (cbrt.f64 (+.f64 a 1/3)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (/.f64 1 (cbrt.f64 (+.f64 a 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 a 3)) (/.f64 1 (/.f64 1 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/3 a))
(/.f64 (-.f64 1/9 (*.f64 a a)) (neg.f64 (+.f64 a -1/3)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 1 (neg.f64 (+.f64 a -1/3))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (*.f64 1 (-.f64 1/3 a)))
(/.f64 -1 (/.f64 (neg.f64 (+.f64 a -1/3)) (fma.f64 a a -1/9)))
(/.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 a 3))) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))) (sqrt.f64 (+.f64 1/27 (pow.f64 a 3)))))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 (neg.f64 (+.f64 a -1/3)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 a 3))) (cbrt.f64 (+.f64 1/27 (pow.f64 a 3)))) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))) (cbrt.f64 (+.f64 1/27 (pow.f64 a 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (/.f64 (neg.f64 (+.f64 a -1/3)) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))))
(/.f64 (*.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)) (fma.f64 a a -1/9))
(/.f64 (*.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)) (pow.f64 (/.f64 1 (fma.f64 a a -1/9)) -1))
(/.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (/.f64 -1 (-.f64 -1/3 a)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 a a -1/9))) (/.f64 (neg.f64 (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a a -1/9))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (/.f64 (neg.f64 (+.f64 a -1/3)) (cbrt.f64 (fma.f64 a a -1/9))))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 a 3))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 a 3))) (*.f64 1 (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (*.f64 (+.f64 a -1/3) (+.f64 (*.f64 a a) 1/9)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (*.f64 (+.f64 a -1/3) (-.f64 (*.f64 a a) -1/9)))
(/.f64 (-.f64 (*.f64 (pow.f64 a 3) (pow.f64 a 3)) 1/729) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))) (-.f64 (pow.f64 a 3) 1/27)))
(/.f64 (+.f64 -1/729 (pow.f64 (*.f64 a a) 3)) (*.f64 (+.f64 a -1/3) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 1/81 (*.f64 -1/9 (*.f64 a a))))))
(/.f64 (+.f64 1/19683 (pow.f64 (pow.f64 a 3) 3)) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))) (+.f64 (*.f64 (pow.f64 a 3) (pow.f64 a 3)) (-.f64 1/729 (*.f64 1/27 (pow.f64 a 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a a) 3) 1/729) (*.f64 (+.f64 a -1/3) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 1/81 (*.f64 (*.f64 a a) 1/9)))))
(/.f64 (*.f64 (neg.f64 (+.f64 1/27 (pow.f64 a 3))) 1) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (/.f64 1 (+.f64 a -1/3))) (+.f64 (*.f64 a a) 1/9))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (/.f64 1 (+.f64 a -1/3))) (-.f64 (*.f64 a a) -1/9))
(/.f64 (*.f64 (+.f64 -1/729 (pow.f64 (*.f64 a a) 3)) (/.f64 1 (+.f64 a -1/3))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 1/81 (*.f64 -1/9 (*.f64 a a)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a a) 3) 1/729) (/.f64 1 (+.f64 a -1/3))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 1/81 (*.f64 (*.f64 a a) 1/9))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 a 3))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 a 3) (pow.f64 a 3)) 1/729) (/.f64 1 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))) (-.f64 (pow.f64 a 3) 1/27))
(/.f64 (*.f64 (+.f64 1/19683 (pow.f64 (pow.f64 a 3) 3)) (/.f64 1 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))) (+.f64 (*.f64 (pow.f64 a 3) (pow.f64 a 3)) (-.f64 1/729 (*.f64 1/27 (pow.f64 a 3)))))
(/.f64 (/.f64 (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) (cbrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))
(/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (fma.f64 a a -1/9) -1) (+.f64 (*.f64 -1 a) 1/3))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3))) (sqrt.f64 (fma.f64 a a -1/9)))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (+.f64 a 1/3))) (cbrt.f64 (fma.f64 a a -1/9)))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 1 (sqrt.f64 (+.f64 a 1/3)))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))) (+.f64 a -1/3))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (fma.f64 a a -1/9) (+.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) (/.f64 1 (-.f64 -1/3 a))) (-.f64 1/9 (*.f64 a a)))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1)) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3)))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) -1)) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) 2) -1)) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) -1))
(/.f64 (/.f64 (+.f64 1/27 (pow.f64 a 3)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(/.f64 (/.f64 (+.f64 1/27 (pow.f64 a 3)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (/.f64 (+.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)))))
(pow.f64 (+.f64 a 1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 a 1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 a 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 a 1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 a 1/3) 2))
(log.f64 (exp.f64 (+.f64 a 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a 1/3))))
(cbrt.f64 (pow.f64 (+.f64 a 1/3) 3))
(expm1.f64 (log.f64 (+.f64 4/3 a)))
(exp.f64 (log.f64 (+.f64 a 1/3)))
(log1p.f64 (expm1.f64 (+.f64 a 1/3)))
(fma.f64 1 a 1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) 1/3)
Outputs
-3
(-.f64 (*.f64 -9 a) 3)
(fma.f64 -9 a -3)
(-.f64 (+.f64 (*.f64 -27 (pow.f64 a 2)) (*.f64 -9 a)) 3)
(+.f64 (*.f64 -27 (*.f64 a a)) (fma.f64 -9 a -3))
(fma.f64 -27 (*.f64 a a) (fma.f64 -9 a -3))
(-.f64 (+.f64 (*.f64 -27 (pow.f64 a 2)) (+.f64 (*.f64 -9 a) (*.f64 -81 (pow.f64 a 3)))) 3)
(+.f64 (fma.f64 -27 (*.f64 a a) (fma.f64 -9 a (*.f64 -81 (pow.f64 a 3)))) -3)
(fma.f64 -27 (*.f64 a a) (+.f64 (*.f64 -81 (pow.f64 a 3)) (fma.f64 -9 a -3)))
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a)))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/9 (pow.f64 a 3)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1/3 (*.f64 a a)) (/.f64 1/9 (pow.f64 a 3))))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(+.f64 (+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/9 (pow.f64 a 3))) (/.f64 1/27 (pow.f64 a 4)))
(+.f64 (/.f64 1/9 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/27 (pow.f64 a 4))))
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a)))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/9 (pow.f64 a 3)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1/3 (*.f64 a a)) (/.f64 1/9 (pow.f64 a 3))))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(+.f64 (+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/9 (pow.f64 a 3))) (/.f64 1/27 (pow.f64 a 4)))
(+.f64 (/.f64 1/9 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/27 (pow.f64 a 4))))
-1/3
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
1/3
(+.f64 1/3 a)
(+.f64 a 1/3)
(+.f64 1/3 a)
(+.f64 a 1/3)
(+.f64 1/3 a)
(+.f64 a 1/3)
a
(+.f64 1/3 a)
(+.f64 a 1/3)
(+.f64 1/3 a)
(+.f64 a 1/3)
(+.f64 1/3 a)
(+.f64 a 1/3)
a
(+.f64 1/3 a)
(+.f64 a 1/3)
(+.f64 1/3 a)
(+.f64 a 1/3)
(+.f64 1/3 a)
(+.f64 a 1/3)
(+.f64 (*.f64 (/.f64 1 (fma.f64 a a -1/9)) a) (*.f64 (/.f64 1 (fma.f64 a a -1/9)) 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(+.f64 (*.f64 (/.f64 1 (fma.f64 a a -1/9)) 1/3) (*.f64 (/.f64 1 (fma.f64 a a -1/9)) a))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 a -1/3)))) 1)
(/.f64 1 (+.f64 a -1/3))
(*.f64 (+.f64 a 1/3) (/.f64 1 (fma.f64 a a -1/9)))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 1 (+.f64 a -1/3)) 1)
(/.f64 1 (+.f64 a -1/3))
(*.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (+.f64 a -1/3))
(*.f64 (sqrt.f64 (+.f64 a 1/3)) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 1 (fma.f64 a a -1/9))))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 (sqrt.f64 (+.f64 a 1/3)) (fma.f64 a a -1/9)))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (+.f64 a -1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (/.f64 1 (fma.f64 a a -1/9))))
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(/.f64 (+.f64 -1/729 (pow.f64 a 6)) (*.f64 (+.f64 a -1/3) (+.f64 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/9) 1/81))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) 1/27)) (/.f64 (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) 1/27)) (sqrt.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/27 (pow.f64 a 3))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) 1/27)) (/.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) 1/27)) (cbrt.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 a 3) (pow.f64 a 3)) 1/729) (/.f64 1 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))) (-.f64 (pow.f64 a 3) 1/27))
(/.f64 (+.f64 -1/729 (pow.f64 a 6)) (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (+.f64 -1/729 (pow.f64 a 6)) (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (*.f64 (+.f64 1/19683 (pow.f64 (pow.f64 a 3) 3)) (/.f64 1 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))) (+.f64 (*.f64 (pow.f64 a 3) (pow.f64 a 3)) (-.f64 1/729 (*.f64 1/27 (pow.f64 a 3)))))
(/.f64 (+.f64 1/19683 (pow.f64 (pow.f64 a 3) 3)) (*.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))) (+.f64 (pow.f64 a 6) (+.f64 1/729 (*.f64 -1/27 (pow.f64 a 3))))))
(/.f64 (/.f64 (+.f64 1/19683 (pow.f64 (pow.f64 a 3) 3)) (+.f64 1/729 (+.f64 (*.f64 (pow.f64 a 3) -1/27) (pow.f64 a 6)))) (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a -1/3))
(/.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))
(/.f64 (fma.f64 a a -1/9) (+.f64 a -1/3))
(/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a -1/3))
(/.f64 (/.f64 (fma.f64 a a -1/9) -1) (+.f64 (*.f64 -1 a) 1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a -1/3))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3))) (sqrt.f64 (fma.f64 a a -1/9)))
(+.f64 a 1/3)
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (+.f64 a 1/3))) (cbrt.f64 (fma.f64 a a -1/9)))
(+.f64 a 1/3)
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 1 (sqrt.f64 (+.f64 a 1/3)))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))
(+.f64 a 1/3)
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))
(+.f64 a 1/3)
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9))) (+.f64 a -1/3))
(/.f64 (fma.f64 a a -1/9) (+.f64 a -1/3))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (fma.f64 a a -1/9) (+.f64 1/27 (pow.f64 a 3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(/.f64 (+.f64 (pow.f64 a 3) 1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(/.f64 (+.f64 (pow.f64 a 3) 1/27) (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 1 (-.f64 -1/3 a))) (-.f64 1/9 (*.f64 a a)))
(+.f64 a 1/3)
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(+.f64 a 1/3)
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))))
(+.f64 a 1/3)
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1)) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(+.f64 a 1/3)
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3)))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))
(+.f64 a 1/3)
(/.f64 (/.f64 (fma.f64 a a -1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (/.f64 (*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) -1)) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) -1))
(/.f64 (fma.f64 a a -1/9) (+.f64 a -1/3))
(/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) 2) -1)) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) -1))
(/.f64 (fma.f64 a a -1/9) (+.f64 a -1/3))
(/.f64 (/.f64 (+.f64 1/27 (pow.f64 a 3)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(/.f64 (+.f64 (pow.f64 a 3) 1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(/.f64 (+.f64 (pow.f64 a 3) 1/27) (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (/.f64 (+.f64 1/27 (pow.f64 a 3)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) 1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(/.f64 (+.f64 (pow.f64 a 3) 1/27) (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (/.f64 (+.f64 1/27 (pow.f64 a 3)) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(/.f64 (+.f64 (pow.f64 a 3) 1/27) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(/.f64 (+.f64 (pow.f64 a 3) 1/27) (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(pow.f64 (+.f64 a 1/3) 1)
(+.f64 a 1/3)
(pow.f64 (sqrt.f64 (+.f64 a 1/3)) 2)
(+.f64 a 1/3)
(pow.f64 (cbrt.f64 (+.f64 a 1/3)) 3)
(+.f64 a 1/3)
(pow.f64 (pow.f64 (+.f64 a 1/3) 3) 1/3)
(+.f64 a 1/3)
(sqrt.f64 (pow.f64 (+.f64 a 1/3) 2))
(fabs.f64 (+.f64 a 1/3))
(log.f64 (exp.f64 (+.f64 a 1/3)))
(+.f64 a 1/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a 1/3))))
(+.f64 a 1/3)
(cbrt.f64 (pow.f64 (+.f64 a 1/3) 3))
(+.f64 a 1/3)
(expm1.f64 (log.f64 (+.f64 4/3 a)))
(+.f64 a 1/3)
(exp.f64 (log.f64 (+.f64 a 1/3)))
(+.f64 a 1/3)
(log1p.f64 (expm1.f64 (+.f64 a 1/3)))
(+.f64 a 1/3)
(fma.f64 1 a 1/3)
(+.f64 a 1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) 1/3)
(+.f64 a 1/3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) 1/3)
(+.f64 a 1/3)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1/9 (*.f64 a a))
0.3b
(*.f64 1/3 rand)
0.3b
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))) (*.f64 1/3 rand))
26.0b
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
Compiler

Compiled 54 to 32 computations (40.7% saved)

series7.0ms (0%)

Counts
3 → 40
Calls

12 calls:

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

rewrite92.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1856×associate-/r*
1446×associate-/l*
1340×associate-/r/
334×add-sqr-sqrt
320×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01579
133143
2438543
Stop Event
node limit
Counts
3 → 164
Calls
Call 1
Inputs
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))) (*.f64 1/3 rand))
(-.f64 1/9 (*.f64 a a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 (-.f64 -1/3 a)) (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a)) (/.f64 1/9 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1/3 (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/9 (-.f64 -1/3 a)) (*.f64 (/.f64 a (-.f64 -1/3 a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 a)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (-.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) 1/4) (*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (-.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/9 (*.f64 a a)) (/.f64 1 (+.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 -1/3 a))) (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (/.f64 (-.f64 1/9 (*.f64 a a)) (cbrt.f64 (-.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a 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(-.f64 1/9 (*.f64 a a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 a a))))))))

simplify79.0ms (0.6%)

Algorithm
egg-herbie
Rules
1214×associate-*r*
916×associate-*l*
832×associate-/l*
586×*-commutative
544×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04787348
114616966
Stop Event
node limit
Counts
204 → 268
Calls
Call 1
Inputs
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 -1) (*.f64 rand (sqrt.f64 1/3))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 a rand)) (sqrt.f64 1/3))) (*.f64 1/3 (*.f64 (sqrt.f64 -1) (*.f64 rand (sqrt.f64 1/3)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 a rand)) (sqrt.f64 1/3))) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1) (*.f64 rand (sqrt.f64 1/3)))) (*.f64 -1/24 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 2) rand)) (pow.f64 (sqrt.f64 1/3) 3)))))
(+.f64 (*.f64 -1/48 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 3) rand)) (pow.f64 (sqrt.f64 1/3) 5))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 a rand)) (sqrt.f64 1/3))) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1) (*.f64 rand (sqrt.f64 1/3)))) (*.f64 -1/24 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 2) rand)) (pow.f64 (sqrt.f64 1/3) 3))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
1/9
(+.f64 (*.f64 -1 (pow.f64 a 2)) 1/9)
(+.f64 (*.f64 -1 (pow.f64 a 2)) 1/9)
(+.f64 (*.f64 -1 (pow.f64 a 2)) 1/9)
(*.f64 -1 (pow.f64 a 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 a 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 a 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 a 2)))
(*.f64 -1 (pow.f64 a 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 a 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 a 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 a 2)))
(+.f64 a -1/3)
(+.f64 -1/3 a)
(+.f64 (/.f64 1/9 (-.f64 -1/3 a)) (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a)))
(+.f64 (neg.f64 (*.f64 (/.f64 a (-.f64 -1/3 a)) a)) (/.f64 1/9 (-.f64 -1/3 a)))
(-.f64 -1/3 (neg.f64 a))
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (*.f64 (/.f64 a (-.f64 -1/3 a)) a))
(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 a))) 1)
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(*.f64 (+.f64 a -1/3) 1)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1 (+.f64 a -1/3))
(*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (-.f64 -1/3 a))))
(*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (-.f64 -1/3 a))))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(*.f64 (+.f64 -1/9 (*.f64 a a)) (/.f64 1 (+.f64 1/3 a)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1/3 a))) (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (/.f64 (-.f64 1/9 (*.f64 a a)) (cbrt.f64 (-.f64 -1/3 a))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (+.f64 a -1/3))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3))))
(*.f64 (/.f64 1 (-.f64 1/9 (*.f64 a a))) (*.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a -1/3)))
(*.f64 (/.f64 1 (-.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 1 (+.f64 1/3 a)) (+.f64 -1/9 (*.f64 a a)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) 1) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (-.f64 -1/3 a))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (cbrt.f64 (-.f64 -1/3 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (-.f64 -1/3 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (sqrt.f64 (-.f64 -1/3 a))) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (-.f64 -1/3 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (-.f64 -1/3 a))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2)) (/.f64 (+.f64 a -1/3) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 -1/9 (*.f64 a a))) (neg.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 -1/9 (*.f64 a a)) (+.f64 -1/9 (*.f64 a a))) (+.f64 a -1/3))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/81 (pow.f64 a 4))) (*.f64 (+.f64 a -1/3) (+.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/729 (pow.f64 a 6))) (*.f64 (+.f64 a -1/3) (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (-.f64 -1/3 a)) (cbrt.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (neg.f64 (-.f64 -1/27 (pow.f64 a 3)))) (neg.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 (neg.f64 a) (neg.f64 a)))) (+.f64 a -1/3))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 -1/27 (pow.f64 (neg.f64 a) 3))) (+.f64 1/9 (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 -1/3 (neg.f64 a)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 -1/3 a) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2))) (cbrt.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 (+.f64 -1/9 (*.f64 a a)) (neg.f64 (-.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (*.f64 (-.f64 1/81 (pow.f64 a 4)) (/.f64 1 (-.f64 -1/3 a))) (-.f64 1/81 (pow.f64 a 4))) (-.f64 1/9 (*.f64 a a)))
(*.f64 (/.f64 (*.f64 (-.f64 1/81 (pow.f64 a 4)) (/.f64 1 (-.f64 -1/3 a))) (+.f64 1/729 (pow.f64 a 6))) (+.f64 1/81 (-.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))
(*.f64 (/.f64 (*.f64 (-.f64 1/729 (pow.f64 a 6)) (/.f64 1 (-.f64 -1/3 a))) (-.f64 1/6561 (*.f64 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))) (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))) (-.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))
(*.f64 (/.f64 (*.f64 (-.f64 1/729 (pow.f64 a 6)) (/.f64 1 (-.f64 -1/3 a))) (+.f64 1/531441 (pow.f64 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))) 3))) (+.f64 1/6561 (-.f64 (*.f64 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))) (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))) (*.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (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 a a)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (cbrt.f64 (-.f64 1/9 (*.f64 a a)))) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2)) (cbrt.f64 (-.f64 -1/27 (pow.f64 a 3)))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (-.f64 -1/3 a) (*.f64 a a))) (pow.f64 (-.f64 1/9 (*.f64 a a)) 2)) (pow.f64 (+.f64 a -1/3) 2))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (-.f64 -1/3 a) (*.f64 a a))) (*.f64 (-.f64 -1/27 (pow.f64 a 3)) (-.f64 -1/27 (pow.f64 a 3)))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (-.f64 -1/3 a) (*.f64 a a))) (*.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a)))) (+.f64 a -1/3))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (-.f64 -1/3 a) (*.f64 a a))) (*.f64 (-.f64 -1/3 a) (-.f64 -1/27 (pow.f64 a 3)))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3))))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (-.f64 -1/3 a) (*.f64 a a))) (*.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))) (+.f64 a -1/3))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (-.f64 -1/3 a) (*.f64 a a))) (*.f64 (-.f64 -1/27 (pow.f64 a 3)) (-.f64 -1/3 a))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3))))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (-.f64 -1/3 a) (*.f64 a a))) (*.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3)))) (*.f64 (+.f64 a -1/3) (+.f64 1/9 (*.f64 a (+.f64 a -1/3)))))
(*.f64 (/.f64 (-.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (-.f64 -1/3 a) (*.f64 a a))) (*.f64 (-.f64 -1/27 (pow.f64 a 3)) (-.f64 1/9 (*.f64 a a)))) (*.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3))) (+.f64 a -1/3)))
(pow.f64 (+.f64 a -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(neg.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 1/3 a)))
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(log.f64 (exp.f64 (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/9 (*.f64 a a)) 3) (pow.f64 (-.f64 -1/3 a) 3)))
(expm1.f64 (log.f64 (+.f64 2/3 a)))
(exp.f64 (log.f64 (+.f64 a -1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) 1)
(/.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 (sqrt.f64 (-.f64 -1/3 a)) (*.f64 1/3 rand)))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 1/3 rand)) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) 1) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (cbrt.f64 (-.f64 -1/3 a))) (cbrt.f64 (sqrt.f64 (-.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (-.f64 1/9 (*.f64 a a)))) (sqrt.f64 (sqrt.f64 (-.f64 -1/3 a)))) (sqrt.f64 (sqrt.f64 (-.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 1/3 rand)) 1) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 1/3 rand)) (cbrt.f64 (-.f64 -1/3 a))) (cbrt.f64 (sqrt.f64 (-.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 1/3 rand)) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/3 a)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (*.f64 1/3 rand)) (sqrt.f64 (sqrt.f64 (-.f64 -1/3 a)))) (sqrt.f64 (sqrt.f64 (-.f64 -1/3 a))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 3) 1/3)
(sqrt.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (*.f64 1/3 rand) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 (*.f64 1/3 rand) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))
(+.f64 1/9 (*.f64 a (neg.f64 a)))
(+.f64 1/9 (*.f64 (*.f64 a (neg.f64 a)) 1))
(+.f64 (*.f64 a (neg.f64 a)) 1/9)
(+.f64 (*.f64 (*.f64 a (neg.f64 a)) 1) 1/9)
(+.f64 (-.f64 1/9 (exp.f64 (log1p.f64 (*.f64 a a)))) 1)
(*.f64 (-.f64 1/9 (*.f64 a a)) 1)
(*.f64 1 (-.f64 1/9 (*.f64 a a)))
(*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (cbrt.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (-.f64 1/81 (pow.f64 a 4)) (/.f64 1 (+.f64 1/9 (*.f64 a a))))
(*.f64 (-.f64 1/729 (pow.f64 a 6)) (/.f64 1 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))))))
(*.f64 (/.f64 1 (+.f64 1/9 (*.f64 a a))) (-.f64 1/81 (pow.f64 a 4)))
(*.f64 (/.f64 1 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))))) (-.f64 1/729 (pow.f64 a 6)))
(*.f64 (/.f64 (-.f64 1/81 (pow.f64 a 4)) (-.f64 1/81 (pow.f64 a 4))) (-.f64 1/9 (*.f64 a a)))
(*.f64 (/.f64 (-.f64 1/81 (pow.f64 a 4)) (+.f64 1/729 (pow.f64 a 6))) (+.f64 1/81 (-.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 1/729 (pow.f64 a 6)) (-.f64 1/6561 (*.f64 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))) (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))) (-.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 1/729 (pow.f64 a 6)) (+.f64 1/531441 (pow.f64 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))) 3))) (+.f64 1/6561 (-.f64 (*.f64 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))) (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))) (*.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))))
(/.f64 (-.f64 1/9 (*.f64 a a)) 1)
(/.f64 1 (/.f64 1 (-.f64 1/9 (*.f64 a a))))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (sqrt.f64 (-.f64 1/9 (*.f64 a a)))))
(/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 2) (/.f64 1 (cbrt.f64 (-.f64 1/9 (*.f64 a a)))))
(/.f64 (-.f64 1/81 (pow.f64 a 4)) (+.f64 1/9 (*.f64 a a)))
(/.f64 (-.f64 1/81 (pow.f64 a 4)) (/.f64 1 (/.f64 1 (+.f64 1/9 (*.f64 a a)))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (/.f64 1 (/.f64 1 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))))
(/.f64 (sqrt.f64 (-.f64 1/729 (pow.f64 a 6))) (/.f64 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))) (sqrt.f64 (-.f64 1/729 (pow.f64 a 6)))))
(/.f64 (sqrt.f64 (-.f64 1/81 (pow.f64 a 4))) (/.f64 (+.f64 1/9 (*.f64 a a)) (sqrt.f64 (-.f64 1/81 (pow.f64 a 4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/729 (pow.f64 a 6))) (cbrt.f64 (-.f64 1/729 (pow.f64 a 6)))) (/.f64 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))) (cbrt.f64 (-.f64 1/729 (pow.f64 a 6)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/81 (pow.f64 a 4))) (cbrt.f64 (-.f64 1/81 (pow.f64 a 4)))) (/.f64 (+.f64 1/9 (*.f64 a a)) (cbrt.f64 (-.f64 1/81 (pow.f64 a 4)))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 a 4))) (neg.f64 (+.f64 1/9 (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 a 6))) (neg.f64 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))))))
(/.f64 (-.f64 1/81 (*.f64 (*.f64 a (neg.f64 a)) (*.f64 a (neg.f64 a)))) (+.f64 1/9 (*.f64 a a)))
(/.f64 (+.f64 1/729 (pow.f64 (*.f64 a (neg.f64 a)) 3)) (+.f64 1/81 (-.f64 (*.f64 (*.f64 a (neg.f64 a)) (*.f64 a (neg.f64 a))) (*.f64 1/9 (*.f64 a (neg.f64 a))))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 a 4)) 1) (+.f64 1/9 (*.f64 a a)))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 a 4)) (sqrt.f64 (+.f64 1/9 (*.f64 a a)))) (sqrt.f64 (+.f64 1/9 (*.f64 a a))))
(/.f64 (/.f64 (-.f64 1/81 (pow.f64 a 4)) (*.f64 (cbrt.f64 (+.f64 1/9 (*.f64 a a))) (cbrt.f64 (+.f64 1/9 (*.f64 a a))))) (cbrt.f64 (+.f64 1/9 (*.f64 a a))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 a 6)) 1) (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 a 6)) (sqrt.f64 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))) (sqrt.f64 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 a 6)) (*.f64 (cbrt.f64 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))))) (cbrt.f64 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))))))) (cbrt.f64 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))))))
(pow.f64 (-.f64 1/9 (*.f64 a a)) 1)
(pow.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) 2)
(pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 3)
(pow.f64 (pow.f64 (-.f64 1/9 (*.f64 a a)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 a a)) 2))
(log.f64 (exp.f64 (-.f64 1/9 (*.f64 a a))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/9 (*.f64 a a)))))
(cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 a a)) 3))
(expm1.f64 (log.f64 (-.f64 10/9 (*.f64 a a))))
(exp.f64 (log.f64 (-.f64 1/9 (*.f64 a a))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/9 (*.f64 a a))) 1))
(log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 a a))))
Outputs
-1/3
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(*.f64 1/3 (*.f64 (sqrt.f64 -1) (*.f64 rand (sqrt.f64 1/3))))
(*.f64 (*.f64 1/3 (sqrt.f64 -1)) (*.f64 rand (sqrt.f64 1/3)))
(*.f64 1/3 (*.f64 rand (*.f64 (sqrt.f64 -1) (sqrt.f64 1/3))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 a rand)) (sqrt.f64 1/3))) (*.f64 1/3 (*.f64 (sqrt.f64 -1) (*.f64 rand (sqrt.f64 1/3)))))
(fma.f64 -1/6 (/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 1/3) (*.f64 a rand))) (*.f64 (*.f64 1/3 (sqrt.f64 -1)) (*.f64 rand (sqrt.f64 1/3))))
(fma.f64 -1/6 (/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 1/3) (*.f64 a rand))) (*.f64 1/3 (*.f64 rand (*.f64 (sqrt.f64 -1) (sqrt.f64 1/3)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 a rand)) (sqrt.f64 1/3))) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1) (*.f64 rand (sqrt.f64 1/3)))) (*.f64 -1/24 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 2) rand)) (pow.f64 (sqrt.f64 1/3) 3)))))
(fma.f64 -1/6 (/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 1/3) (*.f64 a rand))) (fma.f64 1/3 (*.f64 (sqrt.f64 -1) (*.f64 rand (sqrt.f64 1/3))) (*.f64 -1/24 (/.f64 (sqrt.f64 -1) (/.f64 (pow.f64 (sqrt.f64 1/3) 3) (*.f64 rand (*.f64 a a)))))))
(fma.f64 -1/6 (/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 1/3) (*.f64 a rand))) (fma.f64 1/3 (*.f64 rand (*.f64 (sqrt.f64 -1) (sqrt.f64 1/3))) (*.f64 -1/8 (/.f64 (*.f64 rand (*.f64 (sqrt.f64 -1) (*.f64 a a))) (sqrt.f64 1/3)))))
(+.f64 (*.f64 -1/48 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 3) rand)) (pow.f64 (sqrt.f64 1/3) 5))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 a rand)) (sqrt.f64 1/3))) (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1) (*.f64 rand (sqrt.f64 1/3)))) (*.f64 -1/24 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 2) rand)) (pow.f64 (sqrt.f64 1/3) 3))))))
(fma.f64 -1/48 (/.f64 (sqrt.f64 -1) (/.f64 (pow.f64 (sqrt.f64 1/3) 5) (*.f64 rand (pow.f64 a 3)))) (fma.f64 -1/6 (/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 1/3) (*.f64 a rand))) (fma.f64 1/3 (*.f64 (sqrt.f64 -1) (*.f64 rand (sqrt.f64 1/3))) (*.f64 -1/24 (/.f64 (sqrt.f64 -1) (/.f64 (pow.f64 (sqrt.f64 1/3) 3) (*.f64 rand (*.f64 a a))))))))
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(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a 1/3))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 rand (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a 1/3))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a 1/3))) (*.f64 (sqrt.f64 -1) rand)))
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(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a 1/3))) (*.f64 (sqrt.f64 -1) rand)))
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(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a 1/3))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 rand (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a 1/3))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a 1/3))) (*.f64 (sqrt.f64 -1) rand)))
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(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a 1/3))) (*.f64 (sqrt.f64 -1) rand)))
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(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a 1/3))) (*.f64 (sqrt.f64 -1) rand)))
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(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (pow.f64 a 2)) (+.f64 1/3 a))) (*.f64 (sqrt.f64 -1) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a 1/3))) (*.f64 (sqrt.f64 -1) rand)))
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(*.f64 1/3 (*.f64 rand (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (+.f64 a 1/3))))))
1/9
(+.f64 (*.f64 -1 (pow.f64 a 2)) 1/9)
(-.f64 1/9 (*.f64 a a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) 1/9)
(-.f64 1/9 (*.f64 a a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) 1/9)
(-.f64 1/9 (*.f64 a a))
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 1/9 (*.f64 -1 (pow.f64 a 2)))
(-.f64 1/9 (*.f64 a a))
(+.f64 1/9 (*.f64 -1 (pow.f64 a 2)))
(-.f64 1/9 (*.f64 a a))
(+.f64 1/9 (*.f64 -1 (pow.f64 a 2)))
(-.f64 1/9 (*.f64 a a))
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 1/9 (*.f64 -1 (pow.f64 a 2)))
(-.f64 1/9 (*.f64 a a))
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(-.f64 1/9 (*.f64 a a))
(+.f64 1/9 (*.f64 -1 (pow.f64 a 2)))
(-.f64 1/9 (*.f64 a a))
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(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
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(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
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(-.f64 (exp.f64 (log.f64 (+.f64 2/3 a))) 1)
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(/.f64 (-.f64 1/729 (pow.f64 a 6)) (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (+.f64 (*.f64 a (*.f64 a 1/9)) (+.f64 1/81 (pow.f64 a 4))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 a 6)) (sqrt.f64 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))) (sqrt.f64 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (+.f64 (*.f64 a (*.f64 a 1/9)) (+.f64 1/81 (pow.f64 a 4))))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 a 6)) (*.f64 (cbrt.f64 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))))) (cbrt.f64 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))))))) (cbrt.f64 (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a))))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (+.f64 1/81 (+.f64 (pow.f64 a 4) (*.f64 1/9 (*.f64 a a)))))
(/.f64 (-.f64 1/729 (pow.f64 a 6)) (+.f64 (*.f64 a (*.f64 a 1/9)) (+.f64 1/81 (pow.f64 a 4))))
(pow.f64 (-.f64 1/9 (*.f64 a a)) 1)
(-.f64 1/9 (*.f64 a a))
(pow.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) 2)
(-.f64 1/9 (*.f64 a a))
(pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 a a))) 3)
(-.f64 1/9 (*.f64 a a))
(pow.f64 (pow.f64 (-.f64 1/9 (*.f64 a a)) 3) 1/3)
(-.f64 1/9 (*.f64 a a))
(sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 a a)) 2))
(fabs.f64 (-.f64 1/9 (*.f64 a a)))
(log.f64 (exp.f64 (-.f64 1/9 (*.f64 a a))))
(-.f64 1/9 (*.f64 a a))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/9 (*.f64 a a)))))
(-.f64 1/9 (*.f64 a a))
(cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 a a)) 3))
(-.f64 1/9 (*.f64 a a))
(expm1.f64 (log.f64 (-.f64 10/9 (*.f64 a a))))
(exp.f64 (log.f64 (-.f64 1/9 (*.f64 a a))))
(-.f64 1/9 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 (-.f64 1/9 (*.f64 a a))) 1))
(-.f64 1/9 (*.f64 a a))
(log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 a a))))
(-.f64 1/9 (*.f64 a a))

eval581.0ms (4.3%)

Compiler

Compiled 29935 to 21394 computations (28.5% saved)

prune378.0ms (2.8%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New140381411
Fresh246
Picked101
Done358
Total1409171426
Error
0b
Counts
1426 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
43.6b
(/.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
43.9b
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
21.4b
(/.f64 1 (/.f64 1 a))
53.7b
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
1.3b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
20.0b
(-.f64 a 1/3)
43.9b
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
1.3b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
43.6b
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
44.6b
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
2.6b
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
43.6b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
44.6b
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
21.3b
a
63.0b
-1/3
Compiler

Compiled 303 to 230 computations (24.1% saved)

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 41 to 26 computations (36.6% saved)

series2.0ms (0%)

Counts
2 → 26
Calls

12 calls:

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

rewrite95.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1776×associate-/r*
1300×associate-/l*
1128×distribute-lft-in
418×associate-/r/
306×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01452
130250
2410350
Stop Event
node limit
Counts
2 → 174
Calls
Call 1
Inputs
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) (+.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) (*.f64 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 rand (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 1/3 (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 rand) (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 rand)) (*.f64 (sqrt.f64 (*.f64 1/3 rand)) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (*.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (*.f64 1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand -1/3) (/.f64 -1 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 rand (/.f64 (pow.f64 a 1/4) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 1/3 (/.f64 (cbrt.f64 (sqrt.f64 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 a)) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 a 1/4)) (/.f64 rand (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/3 rand)) 1) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)) (sqrt.f64 (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (cbrt.f64 a)) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (sqrt.f64 rand))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 a) 1/3)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (sqrt.f64 a)) (cbrt.f64 (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (neg.f64 (sqrt.f64 a))) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) 1)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2))) (cbrt.f64 (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) (/.f64 3 rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1/3 (/.f64 (neg.f64 (sqrt.f64 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 1 (+.f64 -1/3 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (*.f64 1 (+.f64 a (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 1 (*.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/3 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) a) (*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) -1/3) (*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) a) (+.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) -1/3) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) -1/3) (+.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) a) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)) (*.f64 -1/3 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)) (*.f64 a (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (+.f64 (*.f64 -1/3 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (+.f64 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simplify118.0ms (0.9%)

Algorithm
egg-herbie
Rules
1704×associate-/r*
904×associate-+r+
888×associate-+l+
586×+-commutative
440×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04519366
111848976
244868974
Stop Event
node limit
Counts
200 → 258
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 0)
(+.f64 1 (-.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1))
(-.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) (+.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) (*.f64 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) a)) 1))
(*.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 rand (*.f64 1/3 (pow.f64 a -1/2)))
(*.f64 (*.f64 1/3 rand) (pow.f64 a -1/2))
(*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1)
(*.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(*.f64 (sqrt.f64 (*.f64 1/3 rand)) (*.f64 (sqrt.f64 (*.f64 1/3 rand)) (pow.f64 a -1/2)))
(*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (*.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 a -1/2)))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (pow.f64 a -1/2) (*.f64 1/3 rand))
(*.f64 (*.f64 rand -1/3) (/.f64 -1 (sqrt.f64 a)))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 rand (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 1/3 (/.f64 (cbrt.f64 (sqrt.f64 a)) rand)))
(*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)
(*.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(*.f64 (/.f64 -1 (sqrt.f64 a)) (*.f64 rand -1/3))
(*.f64 (/.f64 1/3 (pow.f64 a 1/4)) (/.f64 rand (pow.f64 a 1/4)))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/3 rand)) 1) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)) (sqrt.f64 (*.f64 1/3 rand)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 a 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (cbrt.f64 a)) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 a) 1/3)) rand)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (sqrt.f64 a)) (cbrt.f64 (*.f64 1/3 rand)))
(*.f64 (/.f64 1/3 (neg.f64 (sqrt.f64 a))) (neg.f64 rand))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) 1)) rand)
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2))) (cbrt.f64 (*.f64 1/3 rand)))
(pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 3)
(pow.f64 (*.f64 (sqrt.f64 a) (/.f64 3 rand)) -1)
(pow.f64 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3) 1/3)
(neg.f64 (/.f64 1/3 (/.f64 (neg.f64 (sqrt.f64 a)) rand)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a))
(log.f64 (exp.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(exp.f64 (log.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(+.f64 a (+.f64 -1/3 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))))
(+.f64 a (+.f64 -1/3 (*.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1)))
(+.f64 a (*.f64 1 (+.f64 -1/3 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))))
(+.f64 -1/3 (+.f64 a (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))))
(+.f64 -1/3 (+.f64 a (*.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1)))
(+.f64 -1/3 (*.f64 1 (+.f64 a (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1))
(+.f64 (+.f64 a -1/3) (*.f64 1 (*.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) 1)))
(+.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (+.f64 -1/3 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))) a)
(+.f64 (+.f64 a (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3))) -1/3)
(+.f64 (*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) a) (*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) -1/3))
(+.f64 (*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) -1/3) (*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) a))
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(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3))) (+.f64 1/3 a)) (+.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)) (fma.f64 a a -1/9)) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) (+.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3)) (fma.f64 a a -1/9)) (+.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))) (+.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))))
(exp.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (/.f64 1 a))) 1/3))
(+.f64 a (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 0)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(+.f64 1 (-.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(-.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) 1)
(+.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) -1)
(+.f64 (*.f64 1/3 (*.f64 rand (pow.f64 a -1/2))) 0)
(+.f64 0 (*.f64 1/3 (*.f64 rand (pow.f64 a -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) (+.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) (*.f64 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) a)) 1))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) a)))
(+.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 rand rand)) a)) (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 rand rand)) a)) (+.f64 1 (/.f64 -1/3 (/.f64 (sqrt.f64 a) rand)))))
(*.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 rand (*.f64 1/3 (pow.f64 a -1/2)))
(*.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))
(*.f64 (*.f64 1/3 rand) (pow.f64 a -1/2))
(*.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))
(*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (sqrt.f64 (*.f64 1/3 rand)) (*.f64 (sqrt.f64 (*.f64 1/3 rand)) (pow.f64 a -1/2)))
(*.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))
(*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (*.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 a -1/2)))
(*.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 rand rand)) a)))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 rand rand)) a)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 rand rand)) a)))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 rand rand)) a)))
(*.f64 (pow.f64 a -1/2) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))
(*.f64 (*.f64 rand -1/3) (/.f64 -1 (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 rand (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (*.f64 (/.f64 rand (pow.f64 a 1/4)) 1/3))
(/.f64 rand (/.f64 (pow.f64 a 1/4) (/.f64 1/3 (pow.f64 a 1/4))))
(/.f64 rand (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 1/3 (/.f64 (cbrt.f64 (sqrt.f64 a)) rand)))
(*.f64 (/.f64 1 (cbrt.f64 a)) (*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) rand))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (*.f64 (/.f64 rand (pow.f64 a 1/4)) 1/3))
(/.f64 rand (/.f64 (pow.f64 a 1/4) (/.f64 1/3 (pow.f64 a 1/4))))
(/.f64 rand (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 -1 (sqrt.f64 a)) (*.f64 rand -1/3))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (pow.f64 a 1/4)) (/.f64 rand (pow.f64 a 1/4)))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (*.f64 (/.f64 rand (pow.f64 a 1/4)) 1/3))
(/.f64 rand (/.f64 (pow.f64 a 1/4) (/.f64 1/3 (pow.f64 a 1/4))))
(/.f64 rand (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 1 (cbrt.f64 a)) (*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) rand))
(*.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 1 (cbrt.f64 a)) (*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) rand))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/3 rand)) 1) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)) (sqrt.f64 (*.f64 1/3 rand)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 1 (cbrt.f64 a)) (*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) rand))
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 a 1/4)))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (*.f64 (/.f64 rand (pow.f64 a 1/4)) 1/3))
(/.f64 rand (/.f64 (pow.f64 a 1/4) (/.f64 1/3 (pow.f64 a 1/4))))
(/.f64 rand (*.f64 (pow.f64 a 1/4) (/.f64 (pow.f64 a 1/4) 1/3)))
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(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(*.f64 (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 rand rand)) a)) (/.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3))))
(*.f64 (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 rand rand)) a)) (/.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (+.f64 1 (/.f64 -1/3 (/.f64 (sqrt.f64 a) rand)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 rand rand)) a)) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))))
(*.f64 (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 rand rand)) a)) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (+.f64 1 (/.f64 -1/3 (/.f64 (sqrt.f64 a) rand))) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3)) (fma.f64 a a -1/9)) (+.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))) (+.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (+.f64 1/3 a)) (+.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a)))
(/.f64 (*.f64 (fma.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))) (+.f64 1 (+.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3) (/.f64 (*.f64 1/9 (*.f64 rand rand)) a))))
(*.f64 (fma.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1) (/.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (+.f64 (+.f64 1 (/.f64 -1/3 (/.f64 (sqrt.f64 a) rand))) (/.f64 (*.f64 1/9 (*.f64 rand rand)) a))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (+.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (/.f64 (pow.f64 (*.f64 1/3 rand) 2) a))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (fma.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))) (+.f64 1 (+.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3) (/.f64 (*.f64 1/9 (*.f64 rand rand)) a))))))
(*.f64 (fma.f64 1/27 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 1) (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (+.f64 (+.f64 1 (/.f64 -1/3 (/.f64 (sqrt.f64 a) rand))) (/.f64 (*.f64 1/9 (*.f64 rand rand)) a))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)) 1)
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))) 2)
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))) 3)
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)) 3) 1/3)
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3)) 2))
(fabs.f64 (*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3)))
(fabs.f64 (*.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)))))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)) 3))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) 3)))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(exp.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(exp.f64 (+.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (log.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(*.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) 1))
(exp.f64 (+.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (log.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(*.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1))))
(*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (*.f64 rand (pow.f64 a -1/2)) 1) (+.f64 a -1/3))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(*.f64 (+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(*.f64 (+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(*.f64 (+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (+.f64 a -1/3)))
(*.f64 (+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 1 a))
Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite51.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1182×associate-*r*
908×add-sqr-sqrt
892×*-un-lft-identity
842×pow1
832×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061
11251
212271
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 a -1/2) -1) (pow.f64 (pow.f64 a -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 a -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 a)) -1) (pow.f64 (cbrt.f64 (pow.f64 a -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a)))) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x . a)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 a))))))

simplify44.0ms (0.3%)

Algorithm
egg-herbie
Rules
1228×associate-*r/
1178×associate-/r*
952×associate-*l/
916×associate-/l*
850×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096273
1241231
2805223
33088223
Stop Event
node limit
Counts
49 → 48
Calls
Call 1
Inputs
a
a
a
a
a
a
a
a
a
a
a
a
(-.f64 (+.f64 1 a) 1)
(*.f64 1 a)
(*.f64 a 1)
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(*.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a))
(*.f64 -1 (neg.f64 a))
(*.f64 (neg.f64 a) -1)
(*.f64 (pow.f64 (pow.f64 a -1/2) -1) (pow.f64 (pow.f64 a -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 a -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 a)) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 a)) -1) (pow.f64 (cbrt.f64 (pow.f64 a -2)) -1))
(*.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(*.f64 (*.f64 -1 (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
(*.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(*.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (*.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a)))) (cbrt.f64 (cbrt.f64 a)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (*.f64 -1 (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
(*.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
(*.f64 (*.f64 -1 (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(*.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(pow.f64 a 1)
(pow.f64 (/.f64 1 a) -1)
(pow.f64 (sqrt.f64 a) 2)
(pow.f64 (cbrt.f64 a) 3)
(pow.f64 (pow.f64 a 3) 1/3)
(sqrt.f64 (*.f64 a a))
(log.f64 (exp.f64 a))
(cbrt.f64 (pow.f64 a 3))
(expm1.f64 (log1p.f64 a))
(exp.f64 (log.f64 a))
(log1p.f64 (expm1.f64 a))
Outputs
a
a
a
a
a
a
a
a
a
a
a
a
(-.f64 (+.f64 1 a) 1)
a
(*.f64 1 a)
a
(*.f64 a 1)
a
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
a
(*.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2))
a
(*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a))
a
(*.f64 -1 (neg.f64 a))
a
(*.f64 (neg.f64 a) -1)
a
(*.f64 (pow.f64 (pow.f64 a -1/2) -1) (pow.f64 (pow.f64 a -1/2) -1))
a
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 a -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 a)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a -2))) (/.f64 1 (/.f64 1 (cbrt.f64 a))))
(/.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a -2)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 a)) -1) (pow.f64 (cbrt.f64 (pow.f64 a -2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a -2))) (/.f64 1 (/.f64 1 (cbrt.f64 a))))
(/.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a -2)))
(*.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
a
(*.f64 (*.f64 -1 (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
a
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
a
(*.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a))))
(*.f64 (cbrt.f64 a) (*.f64 (sqrt.f64 a) (cbrt.f64 (sqrt.f64 a))))
(*.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (sqrt.f64 (cbrt.f64 a))))
(*.f64 (sqrt.f64 a) (*.f64 (fabs.f64 (cbrt.f64 a)) (sqrt.f64 (cbrt.f64 a))))
(*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 (cbrt.f64 a)) 3))
(*.f64 (*.f64 (cbrt.f64 a) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)))
a
(*.f64 (*.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)))
a
(*.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
a
(*.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a)))) (cbrt.f64 (cbrt.f64 a)))
a
(*.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (cbrt.f64 a))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)) (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (cbrt.f64 a))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 (sqrt.f64 a))))
(*.f64 (*.f64 -1 (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
a
(*.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
a
(*.f64 (*.f64 -1 (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
a
(*.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
a
(pow.f64 a 1)
a
(pow.f64 (/.f64 1 a) -1)
a
(pow.f64 (sqrt.f64 a) 2)
a
(pow.f64 (cbrt.f64 a) 3)
a
(pow.f64 (pow.f64 a 3) 1/3)
a
(sqrt.f64 (*.f64 a a))
a
(log.f64 (exp.f64 a))
a
(cbrt.f64 (pow.f64 a 3))
a
(expm1.f64 (log1p.f64 a))
a
(exp.f64 (log.f64 a))
a
(log1p.f64 (expm1.f64 a))
a

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 a a) (*.f64 a a))
0.2b
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
6.6b
(/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81))
37.4b
(*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9))
Compiler

Compiled 87 to 37 computations (57.5% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
a
@inf
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
0.0ms
a
@0
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
0.0ms
a
@-inf
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
0.0ms
a
@inf
(/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81))
0.0ms
a
@0
(*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9))

rewrite113.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1750×associate-/l*
1500×associate-/r/
342×add-sqr-sqrt
324×pow1
324×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015140
134880
2471952
Stop Event
node limit
Counts
4 → 321
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9))
(/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81))
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
(*.f64 (*.f64 a a) (*.f64 a a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (*.f64 a a)) (*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) 1/9) (*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) (*.f64 1/9 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/9 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) (*.f64 (*.f64 a a) (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a 1/3) (/.f64 (fma.f64 a a -1/9) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a 1/3) (/.f64 (/.f64 1 (fma.f64 a a 1/9)) (/.f64 1 (+.f64 (pow.f64 a 4) -1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a 1/3) (/.f64 (*.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)) (+.f64 (pow.f64 a 4) -1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a 1/3) (/.f64 (*.f64 (+.f64 (pow.f64 a 4) -1/81) (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))) (+.f64 (pow.f64 a 6) 1/729)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (fma.f64 a a -1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (/.f64 1 (fma.f64 a a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 4) -1/81)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1/81 (pow.f64 a 4))) (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (/.f64 1 (fma.f64 a a 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (/.f64 1 (fma.f64 a a 1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (/.f64 -1 (neg.f64 (fma.f64 a a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a 1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (fma.f64 a a -1/9)) (+.f64 (pow.f64 a 4) -1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3))) (+.f64 (pow.f64 a 4) -1/81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 a -1/3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))) (+.f64 (pow.f64 a 6) 1/729)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a 1/9)) (/.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a 1/9)) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 a a 1/9)) (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 a a 1/9)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 (pow.f64 a 4) -1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3))) (sqrt.f64 (+.f64 (pow.f64 a 4) -1/81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 (/.f64 1 (fma.f64 a a 1/9)) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 1 (+.f64 (pow.f64 a 4) -1/81)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (fma.f64 a a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) (/.f64 (/.f64 1 (fma.f64 a a 1/9)) (sqrt.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) 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1/9) (*.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 4) -1/81))) (*.f64 (+.f64 a -1/3) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 6) 1/729))) (*.f64 (+.f64 a -1/3) (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 (pow.f64 a 3) 1/27) (+.f64 (pow.f64 a 4) -1/81))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 (pow.f64 a 3) 1/27) (+.f64 (pow.f64 a 6) 1/729))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)) (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1 (+.f64 a -1/3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 a 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 a 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 a 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 a 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 a 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 a 4)))))))

simplify146.0ms (1.1%)

Algorithm
egg-herbie
Rules
1754×associate-*r*
1400×associate-/r*
1342×associate-*l*
1228×*-commutative
1042×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084316919
1255216641
Stop Event
node limit
Counts
369 → 614
Calls
Call 1
Inputs
-3
(-.f64 (*.f64 -9 a) 3)
(-.f64 (+.f64 (*.f64 -27 (pow.f64 a 2)) (*.f64 -9 a)) 3)
(-.f64 (+.f64 (*.f64 -27 (pow.f64 a 2)) (+.f64 (*.f64 -9 a) (*.f64 -81 (pow.f64 a 3)))) 3)
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
-27
(-.f64 (*.f64 -81 a) 27)
(-.f64 (+.f64 (*.f64 -81 a) (*.f64 -2187 (pow.f64 a 4))) 27)
(-.f64 (+.f64 (*.f64 -6561 (pow.f64 a 5)) (+.f64 (*.f64 -81 a) (*.f64 -2187 (pow.f64 a 4)))) 27)
(/.f64 1 (pow.f64 a 3))
(+.f64 (/.f64 1 (pow.f64 a 3)) (*.f64 1/3 (/.f64 1 (pow.f64 a 4))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 7))) (*.f64 1/3 (/.f64 1 (pow.f64 a 4)))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 7))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 8))) (*.f64 1/3 (/.f64 1 (pow.f64 a 4))))))
(/.f64 1 (pow.f64 a 3))
(+.f64 (/.f64 1 (pow.f64 a 3)) (*.f64 1/3 (/.f64 1 (pow.f64 a 4))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 7))) (*.f64 1/3 (/.f64 1 (pow.f64 a 4)))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 7))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 8))) (*.f64 1/3 (/.f64 1 (pow.f64 a 4))))))
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(+.f64 (*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (*.f64 a a)) (*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) 1/9))
(+.f64 (*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) 1/9) (*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) (*.f64 1/9 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))))
(+.f64 (*.f64 1/9 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) (*.f64 (*.f64 a a) (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 a -1/3)))) 1)
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(/.f64 (+.f64 a 1/3) (/.f64 (fma.f64 a a -1/9) 1))
(/.f64 (+.f64 a 1/3) (/.f64 (/.f64 1 (fma.f64 a a 1/9)) (/.f64 1 (+.f64 (pow.f64 a 4) -1/81))))
(/.f64 (+.f64 a 1/3) (/.f64 (*.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)) (+.f64 (pow.f64 a 4) -1/81)))
(/.f64 (+.f64 a 1/3) (/.f64 (*.f64 (+.f64 (pow.f64 a 4) -1/81) (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))) (+.f64 (pow.f64 a 6) 1/729)))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (fma.f64 a a -1/9)))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3))))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (fma.f64 a a -1/9)) 1))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3))) 1))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (/.f64 1 (fma.f64 a a -1/9))))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 4) -1/81)) (+.f64 a 1/3)))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1/81 (pow.f64 a 4))) (-.f64 -1/3 a)))
(/.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (/.f64 1 (fma.f64 a a 1/9)))
(/.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (/.f64 1 (fma.f64 a a 1/9)) 1))
(/.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (/.f64 -1 (neg.f64 (fma.f64 a a 1/9))))
(/.f64 (fma.f64 a a 1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)))
(/.f64 (/.f64 1 (+.f64 a -1/3)) 1)
(/.f64 1 (+.f64 a -1/3))
(/.f64 1 (/.f64 (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (fma.f64 a a -1/9)) (+.f64 (pow.f64 a 4) -1/81)))
(/.f64 1 (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3))) (+.f64 (pow.f64 a 4) -1/81)))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 a -1/3))) 2)))
(/.f64 1 (/.f64 (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))) (+.f64 (pow.f64 a 6) 1/729)))
(/.f64 (sqrt.f64 (fma.f64 a a 1/9)) (/.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a a 1/9))))
(/.f64 (sqrt.f64 (fma.f64 a a 1/9)) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 a a 1/9)) (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)))))
(/.f64 (sqrt.f64 (fma.f64 a a 1/9)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 (pow.f64 a 4) -1/81))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3))) (sqrt.f64 (+.f64 (pow.f64 a 4) -1/81))))
(/.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))
(/.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 (/.f64 1 (fma.f64 a a 1/9)) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 1 (+.f64 (pow.f64 a 4) -1/81)))))
(/.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (fma.f64 a a 1/9))))
(/.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) (/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) (/.f64 (/.f64 1 (fma.f64 a a 1/9)) (sqrt.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) (fma.f64 a a 1/9))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a a 1/9))))
(/.f64 (cbrt.f64 (fma.f64 a a 1/9)) (/.f64 (fma.f64 a a 1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a 1/9)) 2) (+.f64 a -1/3))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a 1/9)) 2) (/.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (cbrt.f64 (fma.f64 a a 1/9))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a 1/9)) 2) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 a a 1/9)) (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81)) 2)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81)) 2) (/.f64 (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81)) 2) (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3))) (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81))))
(/.f64 (cbrt.f64 (+.f64 a 1/3)) (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (/.f64 (/.f64 1 (fma.f64 a a 1/9)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (/.f64 1 (+.f64 (pow.f64 a 4) -1/81)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (fma.f64 a a 1/9))))
(/.f64 (cbrt.f64 (/.f64 1 (+.f64 a -1/3))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 a -1/3))) 2)))
(/.f64 (cbrt.f64 (/.f64 1 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))))
(/.f64 (cbrt.f64 (/.f64 1 (+.f64 a -1/3))) (/.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (/.f64 1 (+.f64 a -1/3)))))
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(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a a 1/9))) (sqrt.f64 (+.f64 (pow.f64 a 6) 1/729))) (sqrt.f64 (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a 1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a 1/9)) 2) (+.f64 a -1/3))) (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81))) (cbrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (/.f64 (fma.f64 a a 1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a 1/9)) 2) (+.f64 a -1/3))) (cbrt.f64 (+.f64 (pow.f64 a 6) 1/729))) (cbrt.f64 (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (neg.f64 (+.f64 (pow.f64 a 3) 1/27))) (neg.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a))
(*.f64 (/.f64 (fma.f64 a a -1/9) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) (fma.f64 a a -1/9))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 6) 1/729))) (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (fma.f64 a a -1/9) (fma.f64 a a 1/9))) (+.f64 a -1/3))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 (pow.f64 a 3) 1/27) (fma.f64 a a 1/9))) (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 4) -1/81))) (*.f64 (+.f64 a -1/3) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 6) 1/729))) (*.f64 (+.f64 a -1/3) (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 (pow.f64 a 3) 1/27) (+.f64 (pow.f64 a 4) -1/81))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 (pow.f64 a 3) 1/27) (+.f64 (pow.f64 a 6) 1/729))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)) (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))))
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(pow.f64 (+.f64 a -1/3) 1)
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(log.f64 (exp.f64 (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 a -1/3)))
(exp.f64 (log.f64 (+.f64 a -1/3)))
(exp.f64 (*.f64 (log.f64 (/.f64 1 (+.f64 a -1/3))) -1))
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(fma.f64 1 a -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a 4))) 1)
(pow.f64 a 4)
(pow.f64 (*.f64 a a) 2)
(pow.f64 (pow.f64 a 4) 1)
(pow.f64 (cbrt.f64 (pow.f64 a 4)) 3)
(pow.f64 (pow.f64 (pow.f64 a 4) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a a) 4))
(log.f64 (exp.f64 (pow.f64 a 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 a 4))))
(cbrt.f64 (pow.f64 (pow.f64 a 4) 3))
(expm1.f64 (log1p.f64 (pow.f64 a 4)))
(exp.f64 (log.f64 (pow.f64 a 4)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 a)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 a 4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 a 4)))
Outputs
-3
(-.f64 (*.f64 -9 a) 3)
(fma.f64 -9 a -3)
(-.f64 (+.f64 (*.f64 -27 (pow.f64 a 2)) (*.f64 -9 a)) 3)
(+.f64 (*.f64 -27 (*.f64 a a)) (fma.f64 -9 a -3))
(+.f64 (fma.f64 -9 a -3) (*.f64 a (*.f64 a -27)))
(-.f64 (+.f64 (*.f64 -27 (pow.f64 a 2)) (+.f64 (*.f64 -9 a) (*.f64 -81 (pow.f64 a 3)))) 3)
(+.f64 (fma.f64 -27 (*.f64 a a) (fma.f64 -9 a (*.f64 -81 (pow.f64 a 3)))) -3)
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a)))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/9 (pow.f64 a 3)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1/3 (*.f64 a a)) (/.f64 1/9 (pow.f64 a 3))))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(+.f64 (+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/9 (pow.f64 a 3))) (/.f64 1/27 (pow.f64 a 4)))
(+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (+.f64 (/.f64 1/9 (pow.f64 a 3)) (/.f64 1/27 (pow.f64 a 4))))
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a)))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/9 (pow.f64 a 3)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1/3 (*.f64 a a)) (/.f64 1/9 (pow.f64 a 3))))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(+.f64 (+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/9 (pow.f64 a 3))) (/.f64 1/27 (pow.f64 a 4)))
(+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (+.f64 (/.f64 1/9 (pow.f64 a 3)) (/.f64 1/27 (pow.f64 a 4))))
-27
(-.f64 (*.f64 -81 a) 27)
(fma.f64 -81 a -27)
(-.f64 (+.f64 (*.f64 -81 a) (*.f64 -2187 (pow.f64 a 4))) 27)
(+.f64 (fma.f64 -81 a (*.f64 (pow.f64 a 4) -2187)) -27)
(+.f64 (*.f64 (pow.f64 a 4) -2187) (fma.f64 -81 a -27))
(-.f64 (+.f64 (*.f64 -6561 (pow.f64 a 5)) (+.f64 (*.f64 -81 a) (*.f64 -2187 (pow.f64 a 4)))) 27)
(+.f64 (fma.f64 -6561 (pow.f64 a 5) (fma.f64 -81 a (*.f64 (pow.f64 a 4) -2187))) -27)
(+.f64 -27 (fma.f64 -6561 (pow.f64 a 5) (fma.f64 -81 a (*.f64 (pow.f64 a 4) -2187))))
(/.f64 1 (pow.f64 a 3))
(+.f64 (/.f64 1 (pow.f64 a 3)) (*.f64 1/3 (/.f64 1 (pow.f64 a 4))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (/.f64 1/3 (pow.f64 a 4)))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 7))) (*.f64 1/3 (/.f64 1 (pow.f64 a 4)))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (/.f64 1/3 (pow.f64 a 4)) (/.f64 1/81 (pow.f64 a 7))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 7))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 8))) (*.f64 1/3 (/.f64 1 (pow.f64 a 4))))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (/.f64 1/81 (pow.f64 a 7)) (+.f64 (/.f64 1/3 (pow.f64 a 4)) (/.f64 1/243 (pow.f64 a 8)))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 a 4)) (/.f64 1/81 (pow.f64 a 7))) (/.f64 1/243 (pow.f64 a 8))))
(/.f64 1 (pow.f64 a 3))
(+.f64 (/.f64 1 (pow.f64 a 3)) (*.f64 1/3 (/.f64 1 (pow.f64 a 4))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (/.f64 1/3 (pow.f64 a 4)))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 7))) (*.f64 1/3 (/.f64 1 (pow.f64 a 4)))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (/.f64 1/3 (pow.f64 a 4)) (/.f64 1/81 (pow.f64 a 7))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 7))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 8))) (*.f64 1/3 (/.f64 1 (pow.f64 a 4))))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (/.f64 1/81 (pow.f64 a 7)) (+.f64 (/.f64 1/3 (pow.f64 a 4)) (/.f64 1/243 (pow.f64 a 8)))))
(+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 a 4)) (/.f64 1/81 (pow.f64 a 7))) (/.f64 1/243 (pow.f64 a 8))))
-1/3
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(+.f64 (*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (*.f64 a a)) (*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) 1/9))
(*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (fma.f64 a a 1/9))
(/.f64 (+.f64 a 1/3) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9)))
(+.f64 (*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) 1/9) (*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (*.f64 a a)))
(*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (fma.f64 a a 1/9))
(/.f64 (+.f64 a 1/3) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9)))
(+.f64 (*.f64 (*.f64 a a) (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) (*.f64 1/9 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))))
(*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (fma.f64 a a 1/9))
(/.f64 (+.f64 a 1/3) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9)))
(+.f64 (*.f64 1/9 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) (*.f64 (*.f64 a a) (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))))
(*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (fma.f64 a a 1/9))
(/.f64 (+.f64 a 1/3) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 a -1/3)))) 1)
(/.f64 1 (+.f64 a -1/3))
(/.f64 -1 (-.f64 1/3 a))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(/.f64 (+.f64 a 1/3) (/.f64 (fma.f64 a a -1/9) 1))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(/.f64 (+.f64 a 1/3) (/.f64 (/.f64 1 (fma.f64 a a 1/9)) (/.f64 1 (+.f64 (pow.f64 a 4) -1/81))))
(*.f64 (/.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) 1) (fma.f64 a a 1/9))
(*.f64 (fma.f64 a a 1/9) (/.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) 1))
(/.f64 (+.f64 a 1/3) (/.f64 (*.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)) (+.f64 (pow.f64 a 4) -1/81)))
(*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)))
(*.f64 (+.f64 a 1/3) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9))))
(/.f64 (+.f64 a 1/3) (/.f64 (*.f64 (+.f64 (pow.f64 a 4) -1/81) (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))) (+.f64 (pow.f64 a 6) 1/729)))
(/.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (+.f64 1/81 (fma.f64 a (*.f64 a -1/9) (pow.f64 a 4))) (+.f64 (pow.f64 a 6) 1/729)))
(*.f64 (+.f64 (pow.f64 a 6) 1/729) (/.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (+.f64 1/81 (fma.f64 a (*.f64 a -1/9) (pow.f64 a 4)))))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (fma.f64 a a -1/9)))
(/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)) (*.f64 (+.f64 a -1/3) (fma.f64 a a 1/9)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9)) (+.f64 a -1/3)) (fma.f64 a a -1/9))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)) (*.f64 (+.f64 a -1/3) (fma.f64 a a 1/9)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9)) (+.f64 a -1/3)) (fma.f64 a a -1/9))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (fma.f64 a a -1/9)) 1))
(/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)) (*.f64 (+.f64 a -1/3) (fma.f64 a a 1/9)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9)) (+.f64 a -1/3)) (fma.f64 a a -1/9))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3))) 1))
(/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)) (*.f64 (+.f64 a -1/3) (fma.f64 a a 1/9)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9)) (+.f64 a -1/3)) (fma.f64 a a -1/9))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (/.f64 1 (fma.f64 a a -1/9))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)) (*.f64 (+.f64 a -1/3) (fma.f64 a a 1/9)))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9)) (+.f64 a -1/3)) (fma.f64 a a -1/9))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))))
(*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)))
(*.f64 (+.f64 a 1/3) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9))))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 4) -1/81)) (+.f64 a 1/3)))
(*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)))
(*.f64 (+.f64 a 1/3) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9))))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1/81 (pow.f64 a 4))) (-.f64 -1/3 a)))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)) (/.f64 (-.f64 -1/3 a) (-.f64 1/81 (pow.f64 a 4))))
(*.f64 (-.f64 -1/3 a) (/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (-.f64 1/81 (pow.f64 a 4))) (fma.f64 a a -1/9)))
(/.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (/.f64 1 (fma.f64 a a 1/9)))
(*.f64 (/.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) 1) (fma.f64 a a 1/9))
(*.f64 (fma.f64 a a 1/9) (/.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) 1))
(/.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (/.f64 (/.f64 1 (fma.f64 a a 1/9)) 1))
(*.f64 (/.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) 1) (fma.f64 a a 1/9))
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(/.f64 (*.f64 (/.f64 (fma.f64 a a 1/9) (/.f64 (sqrt.f64 (fma.f64 a a 1/9)) (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 (pow.f64 a 4) -1/81)))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a a 1/9) (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a a 1/9))) (sqrt.f64 (+.f64 (pow.f64 a 6) 1/729))) (sqrt.f64 (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a 1/9) (/.f64 (sqrt.f64 (fma.f64 a a 1/9)) (+.f64 a -1/3))) (sqrt.f64 (+.f64 (pow.f64 a 6) 1/729))) (sqrt.f64 (+.f64 1/81 (fma.f64 a (*.f64 a -1/9) (pow.f64 a 4)))))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) (fma.f64 a a 1/9)) (*.f64 (sqrt.f64 (fma.f64 a a 1/9)) (sqrt.f64 (+.f64 (pow.f64 a 6) 1/729)))) (sqrt.f64 (+.f64 1/81 (fma.f64 a (*.f64 a -1/9) (pow.f64 a 4)))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a 1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a 1/9)) 2) (+.f64 a -1/3))) (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81))) (cbrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (*.f64 (/.f64 (fma.f64 a a 1/9) (pow.f64 (cbrt.f64 (fma.f64 a a 1/9)) 2)) (+.f64 a -1/3)) (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81))) (cbrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (*.f64 (+.f64 a -1/3) (/.f64 (fma.f64 a a 1/9) (pow.f64 (cbrt.f64 (fma.f64 a a 1/9)) 2))) (cbrt.f64 (+.f64 (pow.f64 a 4) -1/81))) (cbrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 (/.f64 (fma.f64 a a 1/9) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a 1/9)) 2) (+.f64 a -1/3))) (cbrt.f64 (+.f64 (pow.f64 a 6) 1/729))) (cbrt.f64 (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))))
(*.f64 (/.f64 (fma.f64 a a 1/9) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 6) 1/729)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a 1/9)) 2) (+.f64 a -1/3)))) (cbrt.f64 (+.f64 1/81 (fma.f64 a (*.f64 a -1/9) (pow.f64 a 4)))))
(*.f64 (/.f64 (fma.f64 a a 1/9) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a 1/9)) 2) (+.f64 a -1/3)) (cbrt.f64 (+.f64 (pow.f64 a 6) 1/729)))) (cbrt.f64 (+.f64 1/81 (fma.f64 a (*.f64 a -1/9) (pow.f64 a 4)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(+.f64 a -1/3)
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)))
(*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)) (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (neg.f64 (+.f64 (pow.f64 a 3) 1/27))) (neg.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 -1/27 (pow.f64 a 3))) (neg.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a))
(*.f64 (/.f64 (fma.f64 a a -1/9) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (neg.f64 (fma.f64 a a -1/9))) (+.f64 (neg.f64 a) 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (neg.f64 (fma.f64 a a -1/9))) (-.f64 1/3 a))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))) (fma.f64 a a -1/9))
(/.f64 (fma.f64 a a -1/9) (*.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81))))
(*.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (+.f64 (pow.f64 a 4) -1/81)))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 6) 1/729))) (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4))))
(*.f64 (+.f64 1/81 (fma.f64 a (*.f64 a -1/9) (pow.f64 a 4))) (/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (+.f64 a 1/3)) (+.f64 (pow.f64 a 6) 1/729)))
(*.f64 (+.f64 1/81 (fma.f64 a (*.f64 a -1/9) (pow.f64 a 4))) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 6) 1/729))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (fma.f64 a a -1/9) (fma.f64 a a 1/9))) (+.f64 a -1/3))
(/.f64 (*.f64 (/.f64 1 (fma.f64 a a 1/9)) (*.f64 (+.f64 (pow.f64 a 4) -1/81) (+.f64 a -1/3))) (fma.f64 a a -1/9))
(*.f64 (+.f64 (pow.f64 a 4) -1/81) (/.f64 (+.f64 a -1/3) (*.f64 (fma.f64 a a -1/9) (fma.f64 a a 1/9))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 (pow.f64 a 3) 1/27) (fma.f64 a a 1/9))) (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)))
(*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (fma.f64 a a 1/9) (+.f64 (pow.f64 a 3) 1/27))))
(*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)) (/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9)) (+.f64 (pow.f64 a 3) 1/27)))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 4) -1/81))) (*.f64 (+.f64 a -1/3) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)) (+.f64 (pow.f64 a 4) -1/81)) (*.f64 (+.f64 a -1/3) (fma.f64 a a -1/9)))
(/.f64 (*.f64 (+.f64 (pow.f64 a 4) -1/81) (+.f64 a -1/3)) (+.f64 (pow.f64 a 4) -1/81))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 6) 1/729))) (*.f64 (+.f64 a -1/3) (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a -1/9)) (+.f64 (pow.f64 a 6) 1/729)) (*.f64 (+.f64 a -1/3) (+.f64 1/81 (fma.f64 a (*.f64 a -1/9) (pow.f64 a 4)))))
(*.f64 (+.f64 a -1/3) (*.f64 (+.f64 1/81 (fma.f64 a (*.f64 a -1/9) (pow.f64 a 4))) (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 6) 1/729)))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 (pow.f64 a 3) 1/27) (+.f64 (pow.f64 a 4) -1/81))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 (pow.f64 a 4) -1/81) (+.f64 (pow.f64 a 3) 1/27))) (*.f64 (fma.f64 a a -1/9) (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(*.f64 (fma.f64 a a -1/9) (/.f64 (*.f64 (+.f64 (pow.f64 a 4) -1/81) (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))) (*.f64 (+.f64 (pow.f64 a 4) -1/81) (+.f64 (pow.f64 a 3) 1/27))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 (pow.f64 a 3) 1/27) (+.f64 (pow.f64 a 6) 1/729))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)) (+.f64 1/81 (+.f64 (*.f64 a (*.f64 a -1/9)) (pow.f64 a 4)))))
(*.f64 (/.f64 (+.f64 (pow.f64 a 4) -1/81) (*.f64 (+.f64 (pow.f64 a 6) 1/729) (+.f64 (pow.f64 a 3) 1/27))) (*.f64 (+.f64 1/81 (fma.f64 a (*.f64 a -1/9) (pow.f64 a 4))) (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(*.f64 (+.f64 1/81 (fma.f64 a (*.f64 a -1/9) (pow.f64 a 4))) (/.f64 (*.f64 (+.f64 (pow.f64 a 4) -1/81) (-.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))) (*.f64 (+.f64 (pow.f64 a 6) 1/729) (+.f64 (pow.f64 a 3) 1/27))))
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(/.f64 -1 (/.f64 -1 (+.f64 a -1/3)))
(neg.f64 (-.f64 1/3 a))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(+.f64 a -1/3)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(+.f64 a -1/3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(+.f64 a -1/3)
(pow.f64 (+.f64 a -1/3) 1)
(+.f64 a -1/3)
(sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))
(log.f64 (exp.f64 (+.f64 a -1/3)))
(+.f64 a -1/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))
(+.f64 a -1/3)
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))
(+.f64 a -1/3)
(expm1.f64 (log1p.f64 (+.f64 a -1/3)))
(+.f64 a -1/3)
(exp.f64 (log.f64 (+.f64 a -1/3)))
(+.f64 a -1/3)
(exp.f64 (*.f64 (log.f64 (/.f64 1 (+.f64 a -1/3))) -1))
(/.f64 -1 (/.f64 -1 (+.f64 a -1/3)))
(neg.f64 (-.f64 1/3 a))
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1))
(+.f64 a -1/3)
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(+.f64 a -1/3)
(fma.f64 1 a -1/3)
(+.f64 a -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 a 4))) 1)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 (*.f64 a a) 2)
(pow.f64 a 4)
(pow.f64 (pow.f64 a 4) 1)
(pow.f64 a 4)
(pow.f64 (cbrt.f64 (pow.f64 a 4)) 3)
(pow.f64 a 4)
(pow.f64 (pow.f64 (pow.f64 a 4) 3) 1/3)
(pow.f64 a 4)
(sqrt.f64 (pow.f64 (*.f64 a a) 4))
(sqrt.f64 (pow.f64 a 8))
(log.f64 (exp.f64 (pow.f64 a 4)))
(pow.f64 a 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 a 4))))
(pow.f64 a 4)
(cbrt.f64 (pow.f64 (pow.f64 a 4) 3))
(pow.f64 a 4)
(expm1.f64 (log1p.f64 (pow.f64 a 4)))
(pow.f64 a 4)
(exp.f64 (log.f64 (pow.f64 a 4)))
(pow.f64 a 4)
(exp.f64 (*.f64 (*.f64 2 (log.f64 a)) 2))
(pow.f64 a 4)
(exp.f64 (*.f64 (log.f64 (pow.f64 a 4)) 1))
(pow.f64 a 4)
(log1p.f64 (expm1.f64 (pow.f64 a 4)))
(pow.f64 a 4)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 26 to 18 computations (30.8% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 37 to 26 computations (29.7% saved)

series2.0ms (0%)

Counts
1 → 14
Calls

6 calls:

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

rewrite68.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1530×associate-*r/
1206×associate-*l/
1116×associate-/r*
762×associate-/l*
246×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01229
125125
2323125
Stop Event
node limit
Counts
1 → 68
Calls
Call 1
Inputs
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) a)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) (exp.f64 (log1p.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) (/.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) (/.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9))) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3))) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) a) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) a) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))) (-.f64 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) 3)) (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))) (*.f64 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) 1)) (-.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)))) (neg.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (neg.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)))) (neg.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 a (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)))) 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egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))))

simplify94.0ms (0.7%)

Algorithm
egg-herbie
Rules
1336×associate-/l*
904×associate-*r/
866×times-frac
804×associate-/r*
740×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01944226
14994182
219603976
379663976
Stop Event
node limit
Counts
82 → 97
Calls
Call 1
Inputs
a
a
a
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(+.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) a)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(-.f64 (+.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) (exp.f64 (log1p.f64 a))) 1)
(/.f64 a (/.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(/.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) (/.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) a))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) (/.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))) a))
(/.f64 (*.f64 a (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9))) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(/.f64 (*.f64 a (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3))) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) a) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) a) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))) (-.f64 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) 3)) (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))) (*.f64 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))))
(/.f64 (*.f64 a (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) 1)) (-.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 1))
(/.f64 (*.f64 a (neg.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)))) (neg.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (*.f64 a (neg.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)))) (neg.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(/.f64 (*.f64 1 (*.f64 a (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)))) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(/.f64 (*.f64 1 (*.f64 a (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)))) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (*.f64 1 (*.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) a)) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(/.f64 (*.f64 1 (*.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) a)) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (*.f64 1 (-.f64 (*.f64 a a) (*.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))) (-.f64 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) 3))) (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))) (*.f64 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))))
(/.f64 (*.f64 (*.f64 a (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) (sqrt.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)))) (sqrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (*.f64 (*.f64 a (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(/.f64 (*.f64 (*.f64 a (pow.f64 (cbrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 2)) (cbrt.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)))) (cbrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (*.f64 (*.f64 a (pow.f64 (cbrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) 1) a) (-.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9))) a) (neg.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3))) a) (neg.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(/.f64 (*.f64 (*.f64 a (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9))) 1) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(/.f64 (*.f64 (*.f64 a (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3))) 1) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) a) 1) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(/.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) a) 1) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))) 1) (-.f64 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) 3)) 1) (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))) (*.f64 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9))) (*.f64 (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) a)) (sqrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3))) (*.f64 (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) a)) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(/.f64 (/.f64 (*.f64 a (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9))) 1) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(/.f64 (/.f64 (*.f64 a (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9))) (sqrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))) (sqrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (/.f64 (*.f64 a (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9))) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))) (cbrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))) (cbrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (/.f64 (*.f64 a (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3))) 1) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (/.f64 (*.f64 a (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(/.f64 (/.f64 (*.f64 a (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) a) 1) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) a) (sqrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))) (sqrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) a) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))) (cbrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))) (cbrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) a) 1) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) a) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) a) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(pow.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 3)
(pow.f64 (pow.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 2))
(log.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))
(cbrt.f64 (pow.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(exp.f64 (log.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(fma.f64 a 1 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(fma.f64 1 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
Outputs
a
a
a
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(+.f64 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(fma.f64 a (/.f64 rand (*.f64 3 (sqrt.f64 a))) a)
(fma.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)
(+.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) a)
(fma.f64 a (/.f64 rand (*.f64 3 (sqrt.f64 a))) a)
(fma.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) 1)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(fma.f64 a (/.f64 rand (*.f64 3 (sqrt.f64 a))) a)
(fma.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)
(-.f64 (+.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) (exp.f64 (log1p.f64 a))) 1)
(fma.f64 a (/.f64 rand (*.f64 3 (sqrt.f64 a))) a)
(fma.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)
(/.f64 a (/.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(/.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) (/.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) a))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) a)
(*.f64 a (/.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))
(/.f64 a (/.f64 (+.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1) (fma.f64 (/.f64 rand 9) (/.f64 rand a) -1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) (/.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))) a))
(*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 27)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (/.f64 rand (*.f64 3 (sqrt.f64 a)))))) a)
(*.f64 (/.f64 a (+.f64 1 (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3)))
(/.f64 (fma.f64 a (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3) a) (-.f64 (fma.f64 (/.f64 rand 9) (/.f64 rand a) 1) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(/.f64 (*.f64 a (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9))) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) a)
(*.f64 a (/.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))
(/.f64 a (/.f64 (+.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1) (fma.f64 (/.f64 rand 9) (/.f64 rand a) -1)))
(/.f64 (*.f64 a (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3))) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 27)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (/.f64 rand (*.f64 3 (sqrt.f64 a)))))) a)
(*.f64 (/.f64 a (+.f64 1 (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3)))
(/.f64 (fma.f64 a (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3) a) (-.f64 (fma.f64 (/.f64 rand 9) (/.f64 rand a) 1) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) a) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) a)
(*.f64 a (/.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))
(/.f64 a (/.f64 (+.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1) (fma.f64 (/.f64 rand 9) (/.f64 rand a) -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) a) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 27)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (/.f64 rand (*.f64 3 (sqrt.f64 a)))))) a)
(*.f64 (/.f64 a (+.f64 1 (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3)))
(/.f64 (fma.f64 a (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3) a) (-.f64 (fma.f64 (/.f64 rand 9) (/.f64 rand a) 1) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))) (-.f64 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(fma.f64 a (/.f64 rand (*.f64 3 (sqrt.f64 a))) a)
(fma.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) 3)) (+.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))) (*.f64 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 3)) (fma.f64 a a (*.f64 (*.f64 a (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (-.f64 (*.f64 a (/.f64 rand (*.f64 3 (sqrt.f64 a)))) a))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (/.f64 (*.f64 a rand) (*.f64 (sqrt.f64 a) 3)) 3)) (fma.f64 (/.f64 (*.f64 a rand) (*.f64 (sqrt.f64 a) 3)) (-.f64 (/.f64 (*.f64 a rand) (*.f64 (sqrt.f64 a) 3)) a) (*.f64 a a)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (/.f64 (/.f64 (*.f64 a rand) 3) (sqrt.f64 a)) 3)) (*.f64 a (+.f64 a (*.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (-.f64 (/.f64 (/.f64 (*.f64 a rand) 3) (sqrt.f64 a)) a)))))
(/.f64 (*.f64 a (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) 1)) (-.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 1))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) a)
(*.f64 a (/.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))
(/.f64 a (/.f64 (+.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1) (fma.f64 (/.f64 rand 9) (/.f64 rand a) -1)))
(/.f64 (*.f64 a (neg.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)))) (neg.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) a)
(*.f64 a (/.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))
(/.f64 a (/.f64 (+.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1) (fma.f64 (/.f64 rand 9) (/.f64 rand a) -1)))
(/.f64 (*.f64 a (neg.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)))) (neg.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 27)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (/.f64 rand (*.f64 3 (sqrt.f64 a)))))) a)
(*.f64 (/.f64 a (+.f64 1 (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3)))
(/.f64 (fma.f64 a (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3) a) (-.f64 (fma.f64 (/.f64 rand 9) (/.f64 rand a) 1) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(/.f64 (*.f64 1 (*.f64 a (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)))) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) a)
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(/.f64 (/.f64 (*.f64 a (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3))) 1) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 27)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (/.f64 rand (*.f64 3 (sqrt.f64 a)))))) a)
(*.f64 (/.f64 a (+.f64 1 (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3)))
(/.f64 (fma.f64 a (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3) a) (-.f64 (fma.f64 (/.f64 rand 9) (/.f64 rand a) 1) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 a (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 27)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (/.f64 rand (*.f64 3 (sqrt.f64 a)))))) a)
(*.f64 (/.f64 a (+.f64 1 (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3)))
(/.f64 (fma.f64 a (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3) a) (-.f64 (fma.f64 (/.f64 rand 9) (/.f64 rand a) 1) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 a (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 27)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (/.f64 rand (*.f64 3 (sqrt.f64 a)))))) a)
(*.f64 (/.f64 a (+.f64 1 (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3)))
(/.f64 (fma.f64 a (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3) a) (-.f64 (fma.f64 (/.f64 rand 9) (/.f64 rand a) 1) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) a) 1) (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) a)
(*.f64 a (/.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))
(/.f64 a (/.f64 (+.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1) (fma.f64 (/.f64 rand 9) (/.f64 rand a) -1)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) a) (sqrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))) (sqrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) a)
(*.f64 a (/.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))
(/.f64 a (/.f64 (+.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1) (fma.f64 (/.f64 rand 9) (/.f64 rand a) -1)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 (*.f64 rand rand) a) 9)) a) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))) (cbrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))) (cbrt.f64 (-.f64 1 (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) a)
(*.f64 a (/.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))
(/.f64 a (/.f64 (+.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) -1) (fma.f64 (/.f64 rand 9) (/.f64 rand a) -1)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) a) 1) (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))
(*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 27)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (/.f64 rand (*.f64 3 (sqrt.f64 a)))))) a)
(*.f64 (/.f64 a (+.f64 1 (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3)))
(/.f64 (fma.f64 a (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3) a) (-.f64 (fma.f64 (/.f64 rand 9) (/.f64 rand a) 1) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) a) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 27)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (/.f64 rand (*.f64 3 (sqrt.f64 a)))))) a)
(*.f64 (/.f64 a (+.f64 1 (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3)))
(/.f64 (fma.f64 a (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3) a) (-.f64 (fma.f64 (/.f64 rand 9) (/.f64 rand a) 1) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 rand (sqrt.f64 a)) 3) 3)) a) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 (*.f64 rand rand) a) 9) (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))))
(*.f64 (/.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 rand (sqrt.f64 a)) 3) 27)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)) (/.f64 rand (*.f64 3 (sqrt.f64 a)))))) a)
(*.f64 (/.f64 a (+.f64 1 (-.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3)))
(/.f64 (fma.f64 a (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3) a) (-.f64 (fma.f64 (/.f64 rand 9) (/.f64 rand a) 1) (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(pow.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 1)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(pow.f64 (sqrt.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(pow.f64 (cbrt.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 3)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(pow.f64 (pow.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3) 1/3)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(sqrt.f64 (pow.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 2))
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(log.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(cbrt.f64 (pow.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3))
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3)))
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3) (pow.f64 a 3)))
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(expm1.f64 (log1p.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(exp.f64 (log.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 1))
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(log1p.f64 (expm1.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) a)
(fma.f64 a 1 (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(fma.f64 a (/.f64 rand (*.f64 3 (sqrt.f64 a))) a)
(fma.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)
(fma.f64 1 a (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(fma.f64 a (/.f64 rand (*.f64 3 (sqrt.f64 a))) a)
(fma.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(fma.f64 a (/.f64 rand (*.f64 3 (sqrt.f64 a))) a)
(fma.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 a (/.f64 (/.f64 rand (sqrt.f64 a)) 3)))
(fma.f64 a (/.f64 rand (*.f64 3 (sqrt.f64 a))) a)
(fma.f64 a (/.f64 rand (*.f64 (sqrt.f64 a) 3)) a)

eval810.0ms (6.1%)

Compiler

Compiled 32623 to 23623 computations (27.6% saved)

prune412.0ms (3.1%)

Pruning

18 alts after pruning (9 fresh and 9 done)

PrunedKeptTotal
New151631519
Fresh167
Picked011
Done189
Total1518181536
Error
0b
Counts
1536 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
43.9b
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
21.4b
(/.f64 1 (/.f64 1 a))
53.7b
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
1.3b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
20.0b
(-.f64 a 1/3)
2.6b
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
43.9b
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
43.6b
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
44.6b
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
2.6b
(*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
2.6b
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
43.6b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
44.6b
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
60.2b
(sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))
21.3b
a
63.0b
-1/3
Compiler

Compiled 190 to 143 computations (24.7% saved)

regimes132.0ms (1%)

Counts
33 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(/.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a -1/3)))) (*.f64 1/3 rand))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))) (*.f64 1/3 rand))
(*.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 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 a))))) (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))))
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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)))
Outputs
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
Calls

4 calls:

73.0ms
rand
16.0ms
a
15.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
15.0ms
(-.f64 a (/.f64 1 3))
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 427 to 310 computations (27.4% saved)

regimes68.0ms (0.5%)

Counts
31 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(/.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a -1/3)))) (*.f64 1/3 rand))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))) (*.f64 1/3 rand))
(*.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 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 a))))) (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))))
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3)))))) (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))))
Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
Calls

4 calls:

15.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
15.0ms
(-.f64 a (/.f64 1 3))
14.0ms
rand
14.0ms
a
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 383 to 278 computations (27.4% saved)

regimes31.0ms (0.2%)

Counts
25 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(/.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a -1/3)))) (*.f64 1/3 rand))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
Outputs
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
Calls

2 calls:

12.0ms
a
12.0ms
rand
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
Compiler

Compiled 240 to 163 computations (32.1% saved)

regimes67.0ms (0.5%)

Counts
22 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(/.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a -1/3)))) (*.f64 1/3 rand))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
Calls

2 calls:

44.0ms
rand
18.0ms
a
Results
ErrorSegmentsBranch
1.3b1a
1.3b1rand
Compiler

Compiled 200 to 134 computations (33% saved)

regimes25.0ms (0.2%)

Counts
20 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(/.f64 (*.f64 1/3 rand) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a -1/3)))) (*.f64 1/3 rand))
Outputs
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
Calls

2 calls:

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

Compiled 176 to 117 computations (33.5% saved)

regimes34.0ms (0.3%)

Counts
16 → 3
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 a (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))
Outputs
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(-.f64 a 1/3)
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
Calls

2 calls:

22.0ms
rand
8.0ms
a
Results
ErrorSegmentsBranch
2.6b1a
1.3b3rand
Compiler

Compiled 134 to 87 computations (35.1% saved)

bsearch22.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
2.0ms
0.0002449713455840838
0.016601985394522362
19.0ms
-1.5019710531950082e+22
-4478901356024846000.0
Results
20.0ms144×body256valid
Compiler

Compiled 198 to 158 computations (20.2% saved)

regimes32.0ms (0.2%)

Counts
14 → 3
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(sqrt.f64 (*.f64 rand (*.f64 rand (+.f64 -1/27 (*.f64 1/9 a)))))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
Outputs
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(-.f64 a 1/3)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
Calls

2 calls:

21.0ms
rand
8.0ms
a
Results
ErrorSegmentsBranch
2.6b1a
1.3b3rand
Compiler

Compiled 114 to 74 computations (35.1% saved)

bsearch35.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.0002449713455840838
0.016601985394522362
19.0ms
-1.5019710531950082e+22
-4478901356024846000.0
Results
31.0ms240×body256valid
Compiler

Compiled 282 to 218 computations (22.7% saved)

regimes37.0ms (0.3%)

Counts
11 → 3
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
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:

18.0ms
rand
17.0ms
a
Results
ErrorSegmentsBranch
18.7b3a
4.5b3rand
Compiler

Compiled 86 to 57 computations (33.7% saved)

bsearch36.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
1.2493596970072854e+61
5.248898504940652e+65
18.0ms
-5.271747816863046e+81
-5.40176869375389e+79
Results
32.0ms240×body256valid
Compiler

Compiled 282 to 233 computations (17.4% saved)

regimes33.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 a 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
Calls

2 calls:

16.0ms
a
15.0ms
rand
Results
ErrorSegmentsBranch
18.7b3a
4.5b3rand
Compiler

Compiled 70 to 45 computations (35.7% saved)

bsearch89.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
73.0ms
1.2493596970072854e+61
5.248898504940652e+65
16.0ms
-5.271747816863046e+81
-5.40176869375389e+79
Results
85.0ms240×body256valid
Compiler

Compiled 282 to 233 computations (17.4% saved)

regimes48.0ms (0.4%)

Counts
8 → 3
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
Outputs
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(-.f64 a 1/3)
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
Calls

2 calls:

24.0ms
a
22.0ms
rand
Results
ErrorSegmentsBranch
17.3b5a
5.4b3rand
Compiler

Compiled 62 to 39 computations (37.1% saved)

bsearch35.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
1.2493596970072854e+61
5.248898504940652e+65
16.0ms
-5.271747816863046e+81
-5.40176869375389e+79
Results
32.0ms240×body256valid
Compiler

Compiled 252 to 203 computations (19.4% saved)

regimes76.0ms (0.6%)

Counts
7 → 3
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(-.f64 a 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
Calls

2 calls:

52.0ms
rand
22.0ms
a
Results
ErrorSegmentsBranch
17.3b5a
5.5b3rand
Compiler

Compiled 56 to 36 computations (35.7% saved)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
1.2493596970072854e+61
5.248898504940652e+65
17.0ms
-5.271747816863046e+81
-5.40176869375389e+79
Results
34.0ms240×body256valid
Compiler

Compiled 252 to 203 computations (19.4% saved)

regimes12.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 a))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
Outputs
(-.f64 a 1/3)
Calls

2 calls:

5.0ms
rand
4.0ms
a
Results
ErrorSegmentsBranch
20.0b1a
20.0b1rand
Compiler

Compiled 50 to 32 computations (36% saved)

regimes346.0ms (2.6%)

Accuracy

Total -42.1b remaining (-197.7%)

Threshold costs -42.1b (-197.7%)

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

2 calls:

342.0ms
a
3.0ms
rand
Results
ErrorSegmentsBranch
21.3b1a
21.3b1rand
Compiler

Compiled 10 to 7 computations (30% saved)

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Rules
26×*-commutative
20×+-commutative
12×if-if-or-not
sub-neg
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086510
1138510
2140510
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
(if (<=.f64 rand -4500000000000000000) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) (if (<=.f64 rand 7378697629483821/18446744073709551616) (-.f64 a 1/3) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))))
(if (<=.f64 rand -4500000000000000000) (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (if (<=.f64 rand 4196634276768923/2305843009213693952) (-.f64 a 1/3) (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))
(if (<=.f64 rand -3400000000000000027232808317223784076751188561078435589060261083555929616732389376) (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand) (if (<=.f64 rand 2199999999999999871524725341091322934620587390835560524191629312) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)))
(if (<=.f64 rand -194999999999999999393687413252833772385947009280401375748263009780873084547366912) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 320000000000000006822534083025406999136402518805748782967786831872) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -79999999999999997388480600052764153781971228853199839306128196949064025775276032) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) (if (<=.f64 rand 24999999999999999802259656570908462705689030423557613841392074752) (-.f64 a 1/3) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(if (<=.f64 rand -100000000000000000026609864708367276537402401181200809098131977453489758916313088) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 102000000000000004805385686159973733741361001758641859951660630016) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a
-1/3
Outputs
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 -1/3 a))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
(*.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 a 9))))) (+.f64 -1/3 a))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) -1/3)
(+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
(+.f64 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 a)))) -1/3)
(+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand -4500000000000000000) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))) (if (<=.f64 rand 7378697629483821/18446744073709551616) (-.f64 a 1/3) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))))
(if (or (<=.f64 rand -4500000000000000000) (not (<=.f64 rand 7378697629483821/18446744073709551616))) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9))))) (+.f64 -1/3 a))
(if (<=.f64 rand -4500000000000000000) (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (if (<=.f64 rand 4196634276768923/2305843009213693952) (-.f64 a 1/3) (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))
(if (or (<=.f64 rand -4500000000000000000) (not (<=.f64 rand 4196634276768923/2305843009213693952))) (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 a)))) (+.f64 -1/3 a))
(if (<=.f64 rand -3400000000000000027232808317223784076751188561078435589060261083555929616732389376) (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand) (if (<=.f64 rand 2199999999999999871524725341091322934620587390835560524191629312) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)))
(if (or (<=.f64 rand -3400000000000000027232808317223784076751188561078435589060261083555929616732389376) (not (<=.f64 rand 2199999999999999871524725341091322934620587390835560524191629312))) (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (+.f64 -1/3 a))
(if (<=.f64 rand -194999999999999999393687413252833772385947009280401375748263009780873084547366912) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 320000000000000006822534083025406999136402518805748782967786831872) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (or (<=.f64 rand -194999999999999999393687413252833772385947009280401375748263009780873084547366912) (not (<=.f64 rand 320000000000000006822534083025406999136402518805748782967786831872))) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(if (<=.f64 rand -79999999999999997388480600052764153781971228853199839306128196949064025775276032) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) (if (<=.f64 rand 24999999999999999802259656570908462705689030423557613841392074752) (-.f64 a 1/3) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(if (or (<=.f64 rand -79999999999999997388480600052764153781971228853199839306128196949064025775276032) (not (<=.f64 rand 24999999999999999802259656570908462705689030423557613841392074752))) (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)) (+.f64 -1/3 a))
(if (<=.f64 rand -100000000000000000026609864708367276537402401181200809098131977453489758916313088) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 102000000000000004805385686159973733741361001758641859951660630016) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))
(if (or (<=.f64 rand -100000000000000000026609864708367276537402401181200809098131977453489758916313088) (not (<=.f64 rand 102000000000000004805385686159973733741361001758641859951660630016))) (*.f64 1/3 (*.f64 rand (sqrt.f64 a))) (+.f64 -1/3 a))
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
-1/3
Compiler

Compiled 212 to 163 computations (23.1% saved)

soundness985.0ms (7.4%)

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

Useful iterations: 2 (0.0ms)

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

Compiled 392 to 329 computations (16.1% saved)

end224.0ms (1.7%)

Compiler

Compiled 186 to 132 computations (29% saved)

Profiling

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