Details

Time bar (total: 13.1s)

analyze57.0ms (0.4%)

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

Compiled 23 to 20 computations (13% saved)

sample1.7s (13.1%)

Results
1.5s8256×body256valid
84.0ms517×body256invalid
76.0ms611×body256infinite
Bogosity

preprocess83.0ms (0.6%)

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)

simplify166.0ms (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)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(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)

series9.0ms (0.1%)

Counts
4 → 50
Calls

18 calls:

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

rewrite103.0ms (0.8%)

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)))))))

simplify158.0ms (1.2%)

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)

localize26.0ms (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
a
@-inf
(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
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)))

rewrite154.0ms (1.2%)

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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simplify155.0ms (1.2%)

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))

localize23.0ms (0.2%)

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)

series9.0ms (0.1%)

Counts
4 → 50
Calls

18 calls:

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

rewrite136.0ms (1%)

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)))))

simplify275.0ms (2.1%)

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)

eval805.0ms (6.2%)

Compiler

Compiled 30742 to 24237 computations (21.2% saved)

prune357.0ms (2.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1186101196
Fresh000
Picked011
Done202
Total1188111199
Error
0b
Counts
1199 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
9.5b
(/.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)))
0.2b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
19.1b
(-.f64 a 1/3)
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
0.7b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
50.4b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
44.1b
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
44.1b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
19.8b
a
Compiler

Compiled 277 to 221 computations (20.2% saved)

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

Compiled 49 to 37 computations (24.5% saved)

series4.0ms (0%)

Counts
4 → 50
Calls

18 calls:

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

rewrite116.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1714×associate-/r*
1424×associate-/l*
604×associate-/r/
312×add-sqr-sqrt
296×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01482
131080
2423680
Stop Event
node limit
Counts
4 → 260
Calls
Call 1
Inputs
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (+.f64 a -1/3))
(+.f64 a -1/3)
Outputs
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-1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) 1) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) 1) (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) 1) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(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) 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 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 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)))))

simplify124.0ms (1%)

Algorithm
egg-herbie
Rules
1104×associate-*r*
970×associate-/l*
914×associate-*l*
798×times-frac
652×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068715550
1182715252
Stop Event
node limit
Counts
310 → 421
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(*.f64 -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))))
-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 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 0)
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(-.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 1))
(*.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (sqrt.f64 (*.f64 rand 1/3)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (*.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))
(*.f64 (*.f64 rand -1/3) (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3)
(*.f64 (/.f64 1 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand -1/3))
(*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 rand) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 rand) 3))
(*.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(*.f64 (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (/.f64 rand (cbrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (*.f64 rand 1/3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 rand))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (sqrt.f64 (+.f64 a -1/3))) (cbrt.f64 (*.f64 rand 1/3)))
(*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2))) (cbrt.f64 (*.f64 rand 1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 rand))
(*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) -3) (neg.f64 rand))
(*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) (/.f64 3 (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) (/.f64 3 (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 3)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 3 rand)) -1)
(pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)
(neg.f64 (/.f64 (*.f64 rand 1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 a (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 a (+.f64 -1/3 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)))
(+.f64 -1/3 (+.f64 a (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 -1/3 (+.f64 a (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)))
(+.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1))
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(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (+.f64 a -1/3)) 1) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (+.f64 a -1/3)) (sqrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 a -1/3)) 1) (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)) (*.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 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (sqrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)) (*.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 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (cbrt.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))) (+.f64 a 1/3)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (+.f64 a 1/3)) (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (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 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (fma.f64 a a -1/9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (fma.f64 a a -1/9)) (+.f64 1 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (+.f64 1 (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 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1))))
(exp.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 a -1/3)) (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1))))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (+.f64 a -1/3) (*.f64 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 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 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 a -1/3) (*.f64 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))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a -1/3))) 1)
(-.f64 (exp.f64 (log1p.f64 a)) 4/3)
(-.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.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 (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 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1))
(*.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 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (-.f64 1/9 (*.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 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))
(*.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) (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 1/9 (*.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 (*.f64 (fma.f64 a a -1/9) 1) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) 1) (-.f64 (pow.f64 a 3) -1/27)) (+.f64 (*.f64 a a) (+.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (-.f64 1/9 (*.f64 a -1/3)) (-.f64 1/9 (*.f64 a -1/3))))) (+.f64 (fma.f64 a a -1/9) (*.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (+.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 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) 1))
(/.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 (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 (fma.f64 a a (-.f64 1/9 (*.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 (fma.f64 a a -1/9) 1) (+.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 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.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) (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)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) 1) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) 1) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) 1) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(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)
(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 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)
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(*.f64 rand (*.f64 (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 a (/.f64 (sqrt.f64 -3) rand))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a))))
(+.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 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 rand (*.f64 a a)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) (/.f64 (*.f64 -1/6 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) (*.f64 a (*.f64 a rand))))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) (fma.f64 -3/2 (/.f64 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 rand (*.f64 a a))))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (/.f64 (+.f64 81 (/.f64 (+.f64 243/2 (*.f64 9/2 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (pow.f64 (sqrt.f64 -3) 2))) (sqrt.f64 -3)) (*.f64 rand (pow.f64 a 3))) (fma.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) (/.f64 (*.f64 -1/6 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (/.f64 (sqrt.f64 -3) (*.f64 a (*.f64 a rand)))))))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1))
(+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1)))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (*.f64 a a))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (*.f64 a a)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (*.f64 (/.f64 (+.f64 81 (/.f64 (+.f64 243/2 (*.f64 9/2 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (pow.f64 (sqrt.f64 -3) 2))) (sqrt.f64 -3)) rand) (/.f64 (*.f64 (*.f64 -1/6 rand) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3))) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (*.f64 a a)))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -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 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -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 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -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 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -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 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -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 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -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 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a))
(sqrt.f64 -1/3)
(+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(fma.f64 -1/8 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) a)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
(fma.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 -1/8 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) a)) (fma.f64 1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))))
-1/3
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 0)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(-.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 1)
(+.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1) -1)
(+.f64 (*.f64 1/3 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2))) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 1))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 1 (/.f64 (*.f64 rand (*.f64 rand 1/9)) (*.f64 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)))))
(+.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 rand (+.f64 a -1/3)) (*.f64 rand 1/9))) (-.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) -1)
(*.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 1/3 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 1/3 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 (sqrt.f64 (*.f64 rand 1/3)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (sqrt.f64 (*.f64 1/3 rand)) (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (sqrt.f64 (*.f64 1/3 rand))))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 (sqrt.f64 (*.f64 1/3 rand)) (sqrt.f64 (*.f64 1/3 rand))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 rand rand) (/.f64 (+.f64 a -1/3) 1/9))))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (cbrt.f64 (*.f64 (/.f64 rand (+.f64 a -1/3)) (*.f64 rand 1/9))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 rand rand) (/.f64 (+.f64 a -1/3) 1/9))))
(*.f64 (cbrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (cbrt.f64 (*.f64 (/.f64 rand (+.f64 a -1/3)) (*.f64 rand 1/9))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (*.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (cbrt.f64 (*.f64 1/3 rand))))
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(sqrt.f64 (/.f64 (*.f64 rand rand) (/.f64 (+.f64 a -1/3) 1/9)))
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(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
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(/.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1) (*.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (/.f64 (sqrt.f64 (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (+.f64 (pow.f64 a 3) -1/27))))
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(/.f64 (*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))
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(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) 1) (+.f64 a 1/3))
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(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1) (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (+.f64 1/3 a))))
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(/.f64 (/.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1) (/.f64 (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 (pow.f64 a 3) -1/27))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
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(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)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite72.0ms (0.6%)

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)))))

simplify60.0ms (0.5%)

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)

localize10.0ms (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
2 → 16
Calls

9 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(*.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))
1.0ms
rand
@0
(*.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))

rewrite67.0ms (0.5%)

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
01130
122930
2273730
Stop Event
node limit
Counts
2 → 35
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 rand)
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)))))))

simplify60.0ms (0.5%)

Algorithm
egg-herbie
Rules
1818×associate-+r+
1760×associate-+l+
698×unswap-sqr
688×*-commutative
522×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01341455
13301391
212931391
350171391
Stop Event
node limit
Counts
51 → 78
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 (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)))
Outputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 -1/3))
(*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 (*.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))))
(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 (*.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 a (/.f64 (sqrt.f64 -1/3) (*.f64 rand a))) (*.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 (*.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 1/48 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/48 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (fma.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) (*.f64 rand a))) (*.f64 (/.f64 1/6 (sqrt.f64 -1/3)) (*.f64 rand a)))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) -1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))) 1)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (*.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 rand) (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(*.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 1/3 a)))) (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27))))
(*.f64 (/.f64 (*.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 rand) (/.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (+.f64 1/3 a)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 1/3 a))) (sqrt.f64 (fma.f64 a a -1/9)))
(*.f64 (*.f64 1/3 rand) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (*.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 (+.f64 (pow.f64 a 3) -1/27)) (*.f64 1/3 (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))))) (cbrt.f64 (+.f64 1/9 (*.f64 a (+.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 1/3 (*.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) -1/27)) (/.f64 (cbrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)) 1/3)) (*.f64 rand (cbrt.f64 (sqrt.f64 (-.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 (cbrt.f64 (fma.f64 a a -1/9)) (*.f64 1/3 rand)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a)))) (cbrt.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 a -1/3))))))
(*.f64 (*.f64 1/3 (*.f64 rand (cbrt.f64 (sqrt.f64 (-.f64 a 1/3))))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 1/3 a))))
(/.f64 (-.f64 (*.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 a -1/3))))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3)))))) 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))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(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))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(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))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(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))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(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 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
(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))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(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))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(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))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(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 (*.f64 1/27 (pow.f64 rand 3)) (pow.f64 (+.f64 a -1/3) 3/2)))
(cbrt.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 a 1/3) 3/2) (pow.f64 rand 3))))
(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))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(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))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(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 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) -1)
(*.f64 1/3 rand)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1)
(*.f64 1/3 rand)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) (exp.f64 (log1p.f64 (*.f64 1/3 rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/3 rand)))) (*.f64 1/3 rand)) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/3 rand)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 1/3 rand)))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 1/3 rand)))))
(pow.f64 (*.f64 1/3 rand) 1)
(*.f64 1/3 rand)
(pow.f64 (sqrt.f64 (*.f64 1/3 rand)) 2)
(*.f64 1/3 rand)
(pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 3)
(*.f64 1/3 rand)
(pow.f64 (pow.f64 (*.f64 1/3 rand) 3) 1/3)
(*.f64 1/3 rand)
(sqrt.f64 (pow.f64 (*.f64 1/3 rand) 2))
(*.f64 1/3 rand)
(log.f64 (exp.f64 (*.f64 1/3 rand)))
(*.f64 1/3 rand)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 rand))))
(*.f64 1/3 rand)
(cbrt.f64 (pow.f64 (*.f64 1/3 rand) 3))
(*.f64 1/3 rand)
(expm1.f64 (log1p.f64 (*.f64 1/3 rand)))
(*.f64 1/3 rand)
(exp.f64 (log.f64 (*.f64 1/3 rand)))
(*.f64 1/3 rand)
(log1p.f64 (expm1.f64 (*.f64 1/3 rand)))
(*.f64 1/3 rand)

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 48 to 34 computations (29.2% saved)

series4.0ms (0%)

Counts
4 → 27
Calls

21 calls:

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

rewrite91.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify170.0ms (1.3%)

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

Useful iterations: 2 (0.0ms)

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 52 to 39 computations (25% saved)

series49.0ms (0.4%)

Counts
3 → 50
Calls

18 calls:

TimeVariablePointExpression
46.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
0.0ms
a
@-inf
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
0.0ms
a
@-inf
(/.f64 rand (sqrt.f64 (+.f64 a -1/3)))
0.0ms
a
@inf
(/.f64 rand (sqrt.f64 (+.f64 a -1/3)))
0.0ms
a
@0
(/.f64 rand (sqrt.f64 (+.f64 a -1/3)))

rewrite99.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01481
131077
2421577
Stop Event
node limit
Counts
3 → 205
Calls
Call 1
Inputs
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)
(/.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand 3) (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 3 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))))) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) 3) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (cbrt.f64 (+.f64 a -1/3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 rand))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))))))
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(expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))))))

simplify151.0ms (1.2%)

Algorithm
egg-herbie
Rules
1148×associate-/r/
904×associate-+r+
884×associate-+l+
768×+-commutative
538×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057612917
1149412519
2525212429
Stop Event
node limit
Counts
255 → 336
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 rand (sqrt.f64 -3))
(+.f64 (*.f64 rand (sqrt.f64 -3)) (*.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(+.f64 (*.f64 rand (sqrt.f64 -3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (*.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))))
(+.f64 (*.f64 rand (sqrt.f64 -3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))))))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 0)
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(-.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 1))
(*.f64 rand (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1/3))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 -1/3 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3)
(*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))) -1/3)
(*.f64 (/.f64 rand 3) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(*.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (sqrt.f64 rand))
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 1 (/.f64 3 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))))) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) 3) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (cbrt.f64 rand))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (/.f64 1/3 (cbrt.f64 (+.f64 a -1/3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 1/3 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))) (neg.f64 rand))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1)) rand)
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(*.f64 (/.f64 (/.f64 rand 3) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 3)
(pow.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))) -1)
(pow.f64 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27) 1/3)
(neg.f64 (/.f64 rand (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))
(log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1)
(*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 1 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))))
(*.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)
(*.f64 (neg.f64 rand) (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 a -1/3))) (neg.f64 rand))
(*.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand))
(*.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
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(pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
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(/.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) (/.f64 1 (+.f64 a -1/3)))
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(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) (fma.f64 a a -1/9)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) (fma.f64 a a -1/9)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) (+.f64 -1/27 (pow.f64 a 3))) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 1) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) (*.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (+.f64 a 1/3)))) (cbrt.f64 (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 1) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) (*.f64 (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (+.f64 a -1/3)) 1) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (+.f64 a -1/3)) (sqrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (cbrt.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (+.f64 a -1/3)) 1) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (+.f64 a -1/3)) (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (cbrt.f64 (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))) (+.f64 a 1/3)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))) (+.f64 a 1/3)) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (fma.f64 a a -1/9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (fma.f64 a a -1/9)) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a 1/3))
(/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/27)) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (+.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))
(fma.f64 (+.f64 a -1/3) 1 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 1 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(*.f64 (*.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 rand (/.f64 (sqrt.f64 -3) a)) (*.f64 rand (*.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (*.f64 rand (*.f64 1/3 (sqrt.f64 -3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -1/6) (/.f64 (sqrt.f64 -3) (*.f64 a (*.f64 a rand))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -1/6) (/.f64 (sqrt.f64 -3) (*.f64 a (*.f64 a rand))))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a))))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) (fma.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -1/6) (/.f64 (sqrt.f64 -3) (*.f64 a (*.f64 a rand)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 rand (pow.f64 a 3)) (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))) (fma.f64 -3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -1/6) (/.f64 (sqrt.f64 -3) (*.f64 a (*.f64 a rand)))))))
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)
(*.f64 rand (sqrt.f64 -3))
(+.f64 (*.f64 rand (sqrt.f64 -3)) (*.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 rand (sqrt.f64 -3) (*.f64 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) -9/2))
(fma.f64 rand (sqrt.f64 -3) (*.f64 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) -9/2))
(fma.f64 rand (sqrt.f64 -3) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) -9/2))
(+.f64 (*.f64 rand (sqrt.f64 -3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (*.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 -1/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a)))) (*.f64 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) -9/2)))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) -9/2 (/.f64 (*.f64 (*.f64 -1/2 (*.f64 a (*.f64 a rand))) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3))))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) -9/2 (/.f64 (*.f64 (*.f64 -1/2 (*.f64 a (*.f64 a rand))) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (sqrt.f64 -3))))
(+.f64 (*.f64 rand (sqrt.f64 -3)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))))))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 -1/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a)))) (fma.f64 -9/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) -1/2))))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a (*.f64 a rand)))) -1/2 (fma.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) -1/2 (*.f64 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) -9/2))))
(fma.f64 rand (sqrt.f64 -3) (fma.f64 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a a))) rand) -1/2 (fma.f64 (*.f64 (/.f64 (*.f64 rand (pow.f64 a 3)) (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))) -1/2 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) -9/2))))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1))
(+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1)))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 1/18 (/.f64 (sqrt.f64 -3) (*.f64 rand (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))
(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 1/18 (sqrt.f64 -3)) (*.f64 rand (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (/.f64 rand (/.f64 (sqrt.f64 -3) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (/.f64 1/18 (/.f64 (sqrt.f64 -3) (*.f64 rand (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81))))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 1/18 (/.f64 (sqrt.f64 -3) (*.f64 rand (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.f64 (/.f64 1/18 (sqrt.f64 -3)) (*.f64 rand (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))))) (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 1/18 (sqrt.f64 -3)) (*.f64 rand (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.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 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.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 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 0)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(+.f64 1 (-.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 1)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 (/.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 1))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 1 (/.f64 (*.f64 (/.f64 rand 9) (/.f64 rand (+.f64 a -1/3))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(+.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) -3))))
(*.f64 rand (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1/3))
(*.f64 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 1/3)
(*.f64 1/3 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 -1/3 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 (+.f64 a -1/3)))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)))
(*.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) (*.f64 1/3 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (*.f64 1/3 (cbrt.f64 (/.f64 (*.f64 rand rand) (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a -1/3))) -1/3)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 rand 3) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (/.f64 rand 3))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (sqrt.f64 rand))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (*.f64 3 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(*.f64 1/3 (/.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))
(*.f64 (/.f64 1 (/.f64 3 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))))) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) (*.f64 1/3 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (*.f64 1/3 (cbrt.f64 (/.f64 (*.f64 rand rand) (+.f64 a -1/3)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3) (sqrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) 3) (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (/.f64 rand (/.f64 (+.f64 a -1/3) rand))) (*.f64 1/3 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (*.f64 1/3 (cbrt.f64 (/.f64 (*.f64 rand rand) (+.f64 a -1/3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)) (cbrt.f64 rand))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (/.f64 1/3 (cbrt.f64 (+.f64 a -1/3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
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(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))))
(*.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1/3 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (+.f64 a -1/3) 1 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 3 rand))))
(+.f64 a (-.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) (/.f64 rand 3)) 1/3))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 3 rand))))
(+.f64 a (-.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) (/.f64 rand 3)) 1/3))
(fma.f64 1 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 3 rand))))
(+.f64 a (-.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) (/.f64 rand 3)) 1/3))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 3 rand))))
(+.f64 a (-.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (+.f64 a -1/3))) (/.f64 rand 3)) 1/3))

eval816.0ms (6.3%)

Compiler

Compiled 36212 to 27607 computations (23.8% saved)

prune430.0ms (3.3%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New141641420
Fresh145
Picked011
Done055
Total1417141431
Error
0b
Counts
1431 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
43.8b
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
0.2b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
19.1b
(-.f64 a 1/3)
8.3b
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (sqrt.f64 (+.f64 a -1/3))))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
0.7b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
50.4b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
44.1b
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
44.1b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
60.4b
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
19.8b
a
63.0b
-1/3
Compiler

Compiled 247 to 195 computations (21.1% saved)

localize18.0ms (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)

series6.0ms (0%)

Counts
3 → 26
Calls

15 calls:

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

rewrite93.0ms (0.7%)

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)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 9 a) 1/4) (pow.f64 (*.f64 9 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) (cbrt.f64 (*.f64 9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 a)) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 9 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9 a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 9 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 1 (+.f64 -1/3 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (*.f64 1 (+.f64 a (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 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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)))))))

simplify118.0ms (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))))
(*.f64 (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))) (sqrt.f64 rand))
(*.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 9 a))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))))
(*.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)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 a)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 3 (sqrt.f64 a))) (cbrt.f64 rand))
(*.f64 (/.f64 1 (/.f64 (*.f64 3 (sqrt.f64 a)) (cbrt.f64 (*.f64 rand rand)))) (cbrt.f64 rand))
(pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(pow.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)
(pow.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)
(pow.f64 (*.f64 (/.f64 3 rand) (sqrt.f64 a)) -1)
(pow.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3) 1/3)
(neg.f64 (/.f64 (/.f64 rand -3) (sqrt.f64 a)))
(sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)))
(log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(cbrt.f64 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(log1p.f64 (expm1.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a)))) 1)
(*.f64 (*.f64 3 (sqrt.f64 a)) 1)
(*.f64 1 (*.f64 3 (sqrt.f64 a)))
(*.f64 (pow.f64 (*.f64 9 a) 1/4) (pow.f64 (*.f64 9 a) 1/4))
(*.f64 3 (sqrt.f64 a))
(*.f64 (sqrt.f64 a) 3)
(*.f64 (sqrt.f64 a) (pow.f64 9 1/2))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) (cbrt.f64 (*.f64 9 a)))
(*.f64 (cbrt.f64 (*.f64 9 a)) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 9 a))))
(*.f64 (pow.f64 9 1/2) (sqrt.f64 a))
(*.f64 (pow.f64 1 1/2) (*.f64 3 (sqrt.f64 a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 9 a)) 1/2))
(pow.f64 (*.f64 9 a) 1/2)
(pow.f64 (*.f64 3 (sqrt.f64 a)) 1)
(pow.f64 (pow.f64 (*.f64 9 a) 1/4) 2)
(pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) 3)
(pow.f64 (pow.f64 (*.f64 9 a) 3/2) 1/3)
(fabs.f64 (*.f64 3 (sqrt.f64 a)))
(log.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 a)))))
(cbrt.f64 (pow.f64 (*.f64 9 a) 3/2))
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(/.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)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(/.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 (neg.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 1/3 (/.f64 rand (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 (/.f64 1 (pow.f64 (*.f64 9 a) 1/4)) (/.f64 rand (pow.f64 (*.f64 9 a) 1/4)))
(*.f64 (/.f64 1 (pow.f64 (*.f64 a 9) 1/4)) (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)))
(/.f64 (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)) (pow.f64 (*.f64 a 9) 1/4))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 9 a))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))) (cbrt.f64 (*.f64 a 9)))
(/.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 -1/3 (sqrt.f64 a)) (neg.f64 rand))
(/.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 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))))
(*.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 a) 3)))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))) (sqrt.f64 rand))
(*.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 a) 3)))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)))
(*.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 a) 3)))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 9 a))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))
(/.f64 (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))) (cbrt.f64 (*.f64 a 9)))
(/.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (*.f64 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 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))

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

Compiled 26 to 18 computations (30.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 a -1/3)
0.2b
(*.f64 1/9 (*.f64 rand rand))
6.9b
(*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))
26.4b
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
Compiler

Compiled 36 to 20 computations (44.4% saved)

series7.0ms (0.1%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
3.0ms
rand
@inf
(*.f64 1/9 (*.f64 rand rand))
1.0ms
rand
@0
(*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))
1.0ms
a
@-inf
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
0.0ms
rand
@inf
(*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))
0.0ms
a
@0
(*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand)))

rewrite73.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

simplify83.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
27.2b
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
Compiler

Compiled 31 to 21 computations (32.3% saved)

series6.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
a
@-inf
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
2.0ms
a
@inf
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
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
@0
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))

rewrite74.0ms (0.6%)

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
01148
123820
2302420
Stop Event
node limit
Counts
2 → 162
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)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a 1/3) (+.f64 -1/729 (pow.f64 (*.f64 a a) 3))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 1/81 (*.f64 -1/9 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a 1/3) (-.f64 (pow.f64 (*.f64 a a) 3) 1/729)) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 1/81 (*.f64 (*.f64 a a) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.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 1 (-.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 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) 2) -1) (cbrt.f64 (/.f64 -1 (+.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))) (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 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(#(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 (fma.f64 a a -1/9)) (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)))))

simplify85.0ms (0.7%)

Algorithm
egg-herbie
Rules
1398×unswap-sqr
1156×associate-/l/
478×*-commutative
444×+-commutative
426×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04034900
112424192
242344152
Stop Event
node limit
Counts
186 → 234
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)
(+.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)))
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(exp.f64 (log.f64 (+.f64 a -1/3)))
(exp.f64 (-.f64 (log.f64 (fma.f64 a a -1/9)) (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)
(+.f64 (fma.f64 -9 a -3) (*.f64 (*.f64 a a) (+.f64 (*.f64 -81 a) -27)))
(/.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 a) (/.f64 (/.f64 1/3 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 1/9 (pow.f64 a 3)) (/.f64 1/3 (*.f64 a a))) (/.f64 1 a))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 (/.f64 1/3 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 1/9 (pow.f64 a 3)) (/.f64 1/3 (*.f64 a a))) (/.f64 1 a)) (/.f64 1/27 (pow.f64 a 4)))
(+.f64 (+.f64 (/.f64 1 a) (/.f64 (/.f64 1/3 a) a)) (+.f64 (/.f64 1/9 (pow.f64 a 3)) (/.f64 1/27 (pow.f64 a 4))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1/9 (pow.f64 a 3)) (+.f64 (/.f64 1/27 (pow.f64 a 4)) (/.f64 (/.f64 1/3 a) a))))
(/.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 a) (/.f64 (/.f64 1/3 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 1/9 (pow.f64 a 3)) (/.f64 1/3 (*.f64 a a))) (/.f64 1 a))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 (/.f64 1/3 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 1/9 (pow.f64 a 3)) (/.f64 1/3 (*.f64 a a))) (/.f64 1 a)) (/.f64 1/27 (pow.f64 a 4)))
(+.f64 (+.f64 (/.f64 1 a) (/.f64 (/.f64 1/3 a) a)) (+.f64 (/.f64 1/9 (pow.f64 a 3)) (/.f64 1/27 (pow.f64 a 4))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1/9 (pow.f64 a 3)) (+.f64 (/.f64 1/27 (pow.f64 a 4)) (/.f64 (/.f64 1/3 a) a))))
-1/3
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(+.f64 (*.f64 (/.f64 1 (fma.f64 a a -1/9)) a) (*.f64 (/.f64 1 (fma.f64 a a -1/9)) 1/3))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 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 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.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 -1 (-.f64 1/3 a))
(*.f64 (+.f64 a 1/3) (/.f64 1 (fma.f64 a a -1/9)))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.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 1/3 a))
(*.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (+.f64 a -1/3))
(/.f64 -1 (-.f64 1/3 a))
(*.f64 (sqrt.f64 (+.f64 a 1/3)) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 1 (fma.f64 a a -1/9))))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.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 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.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 -1 (-.f64 1/3 a))
(*.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 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (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 1 (+.f64 a -1/3))
(/.f64 -1 (-.f64 1/3 a))
(*.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 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (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 1 (+.f64 a -1/3))
(/.f64 -1 (-.f64 1/3 a))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (-.f64 -1/3 a) (/.f64 -1 (fma.f64 a a -1/9)))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 -1 (/.f64 -1 (+.f64 a -1/3)))
(/.f64 1 (+.f64 a -1/3))
(/.f64 -1 (-.f64 1/3 a))
(*.f64 (*.f64 (sqrt.f64 (+.f64 a 1/3)) (/.f64 1 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.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 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.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 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (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 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (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 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (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 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 -1 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a 1/3)) (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.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))))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a 1/3)) (cbrt.f64 (fma.f64 a a -1/9))) (/.f64 (sqrt.f64 (+.f64 a 1/3)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 a 1/3)) (fma.f64 a a -1/9)))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 (cbrt.f64 (+.f64 a 1/3)) (fma.f64 a a -1/9)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) 1))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (sqrt.f64 (fma.f64 a a -1/9))) (/.f64 (cbrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 (cbrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))
(*.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 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 1 (+.f64 a -1/3))
(/.f64 -1 (-.f64 1/3 a))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) 1) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (+.f64 a -1/3))
(/.f64 -1 (-.f64 1/3 a))
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) 2) 1) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 1 (+.f64 a -1/3))
(/.f64 -1 (-.f64 1/3 a))
(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1 (fma.f64 a a -1/9))) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1 (fma.f64 a a -1/9))) 1) (/.f64 1 (+.f64 a -1/3)))
(/.f64 1 (+.f64 a -1/3))
(/.f64 -1 (-.f64 1/3 a))
(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a -1/3))) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1 (+.f64 a -1/3))
(/.f64 -1 (-.f64 1/3 a))
(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1 (fma.f64 a a -1/9))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 1 (+.f64 a -1/3))
(/.f64 -1 (-.f64 1/3 a))
(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1 (fma.f64 a a -1/9))) (/.f64 -1 (-.f64 -1/3 a))) (/.f64 1 (fma.f64 a a -1/9)))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 1 (fma.f64 a a -1/9))) -1) (/.f64 -1 (+.f64 a -1/3)))
(/.f64 1 (+.f64 a -1/3))
(/.f64 -1 (-.f64 1/3 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (+.f64 (*.f64 a a) 1/9))
(*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (fma.f64 a a 1/9))
(*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9))
(*.f64 (/.f64 (+.f64 a 1/3) (+.f64 (pow.f64 a 4) -1/81)) (fma.f64 a a 1/9))
(*.f64 (/.f64 (+.f64 a 1/3) (+.f64 -1/729 (pow.f64 (*.f64 a a) 3))) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 1/81 (*.f64 -1/9 (*.f64 a a)))))
(*.f64 (-.f64 (+.f64 (pow.f64 a 4) 1/81) (*.f64 -1/9 (*.f64 a a))) (/.f64 (+.f64 a 1/3) (+.f64 -1/729 (pow.f64 (*.f64 a a) 3))))
(*.f64 (+.f64 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/9) 1/81)) (/.f64 (+.f64 a 1/3) (+.f64 -1/729 (pow.f64 a 6))))
(*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (pow.f64 (*.f64 a a) 3) 1/729)) (+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 1/81 (*.f64 (*.f64 a a) 1/9))))
(*.f64 (-.f64 (+.f64 (pow.f64 a 4) 1/81) (*.f64 -1/9 (*.f64 a a))) (/.f64 (+.f64 a 1/3) (+.f64 -1/729 (pow.f64 (*.f64 a a) 3))))
(*.f64 (+.f64 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/9) 1/81)) (/.f64 (+.f64 a 1/3) (+.f64 -1/729 (pow.f64 a 6))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))) (cbrt.f64 (+.f64 a 1/3)))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
(*.f64 (/.f64 1 (-.f64 (pow.f64 a 3) 1/27)) (+.f64 (*.f64 a a) (+.f64 1/9 (*.f64 a 1/3))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 a 3) -1/27)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)))
(/.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (+.f64 (pow.f64 a 3) -1/27))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (/.f64 -1 (+.f64 a -1/3))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (/.f64 -1 (+.f64 a -1/3)))) (sqrt.f64 -1))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 -1))) (sqrt.f64 (/.f64 -1 (+.f64 a -1/3))))
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) 2) -1) (cbrt.f64 (/.f64 -1 (+.f64 a -1/3))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) -1) (cbrt.f64 (/.f64 -1 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))) (cbrt.f64 (/.f64 -1 (+.f64 a -1/3))))
(*.f64 (/.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))))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (+.f64 (*.f64 a (neg.f64 a)) 1/9))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (+.f64 (*.f64 a (neg.f64 a)) 1/9))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (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 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2) (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 (/.f64 1 (fma.f64 a a -1/9)) -1) (/.f64 -1 (-.f64 -1/3 a)))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (+.f64 (*.f64 a (neg.f64 a)) 1/9))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) -1))
(+.f64 a -1/3)
(*.f64 (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 a -1/3)
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) -1) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) 2) -1))
(+.f64 a -1/3)
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (sqrt.f64 (+.f64 a -1/3)))
(+.f64 a -1/3)
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a))
(+.f64 a -1/3)
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 1/9 (*.f64 a a))) (neg.f64 (+.f64 a -1/3)))
(+.f64 a -1/3)
(*.f64 (/.f64 (fma.f64 a a -1/9) (neg.f64 (+.f64 1/27 (pow.f64 a 3)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (neg.f64 (+.f64 (pow.f64 a 3) 1/27))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(*.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 -1/9 (*.f64 a (-.f64 1/3 a))))
(*.f64 (/.f64 1 (*.f64 (fma.f64 a a -1/9) (/.f64 1 (fma.f64 a a -1/9)))) (+.f64 a -1/3))
(+.f64 a -1/3)
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (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 (pow.f64 a 3) 1/27)) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(*.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (+.f64 (pow.f64 a 3) 1/27)))
(*.f64 (fma.f64 a a -1/9) (/.f64 (-.f64 1/9 (*.f64 a (-.f64 1/3 a))) (+.f64 (pow.f64 a 3) 1/27)))
(*.f64 (/.f64 1 (/.f64 (+.f64 a 1/3) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))) (cbrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (+.f64 (*.f64 a (neg.f64 a)) 1/9))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 1 (neg.f64 (-.f64 -1/3 a))) (neg.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (+.f64 (*.f64 a (neg.f64 a)) 1/9))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (-.f64 -1/3 a))) (sqrt.f64 (-.f64 1/9 (*.f64 a a))))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -1/3 a)) -1) (-.f64 1/9 (*.f64 a a)))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (+.f64 (*.f64 a (neg.f64 a)) 1/9))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -1/3 a)) (/.f64 1 (sqrt.f64 (fma.f64 a a -1/9)))) (sqrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (+.f64 (*.f64 a (neg.f64 a)) 1/9))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -1/3 a)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))) (cbrt.f64 (fma.f64 a a -1/9)))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (+.f64 (*.f64 a (neg.f64 a)) 1/9))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1/9 (*.f64 a a))) (+.f64 a -1/3))
(+.f64 a -1/3)
(*.f64 (/.f64 (-.f64 1/9 (*.f64 a a)) (neg.f64 (+.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) (neg.f64 (+.f64 (pow.f64 a 3) 1/27))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(*.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/27 (pow.f64 a 3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 -1/27 (pow.f64 a 3))) (+.f64 -1/9 (*.f64 a (-.f64 1/3 a))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 -1/3 a))) (-.f64 1/9 (*.f64 a a)))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (+.f64 (*.f64 a (neg.f64 a)) 1/9))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (fma.f64 a a -1/9))) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (fma.f64 a a -1/9)))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (fma.f64 a a -1/9) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (fma.f64 a a -1/9)))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 1/27 (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (sqrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (sqrt.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (*.f64 (sqrt.f64 (+.f64 a 1/3)) (sqrt.f64 (+.f64 (pow.f64 a 3) 1/27)))) (sqrt.f64 (-.f64 1/9 (*.f64 a (-.f64 1/3 a)))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9))) (cbrt.f64 (+.f64 a -1/3)))
(/.f64 (*.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (fma.f64 a a -1/9)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (fma.f64 a a -1/9)))
(*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (fma.f64 a a -1/9))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 1/27 (pow.f64 a 3)))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) 1/27)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))) (cbrt.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (cbrt.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 (/.f64 (fma.f64 a a -1/9) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 (pow.f64 a 3) 1/27))) (cbrt.f64 (-.f64 1/9 (*.f64 a (-.f64 1/3 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1) (cbrt.f64 (+.f64 a -1/3)))
(+.f64 a -1/3)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a 1/3))) (cbrt.f64 (fma.f64 a a -1/9)))
(*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a 1/3))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (cbrt.f64 (+.f64 a 1/3)) (cbrt.f64 (fma.f64 a a -1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (-.f64 -1/3 a))) (cbrt.f64 (-.f64 1/9 (*.f64 a a))))
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(+.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 (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 (fma.f64 a a -1/9)) (log.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (+.f64 (*.f64 a (neg.f64 a)) 1/9))
(/.f64 (fma.f64 a a -1/9) (+.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)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 a 1/3) rand)
0.1b
(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
0.3b
(/.f64 1 (-.f64 (*.f64 9 a) 3))
7.9b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
Compiler

Compiled 53 to 41 computations (22.6% saved)

series6.0ms (0%)

Counts
4 → 32
Calls

18 calls:

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

rewrite92.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

simplify123.0ms (0.9%)

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

Useful iterations: 2 (0.0ms)

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

eval524.0ms (4%)

Compiler

Compiled 27711 to 20245 computations (26.9% saved)

prune333.0ms (2.6%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New1379101389
Fresh123
Picked101
Done4610
Total1385181403
Error
0b
Counts
1403 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
43.8b
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
19.9b
(/.f64 1 (/.f64 1 a))
52.8b
(/.f64 1 (*.f64 (/.f64 (+.f64 a 1/3) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81)) (-.f64 (*.f64 a a) -1/9)))
0.2b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
19.1b
(-.f64 a 1/3)
43.7b
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 -1/9 (+.f64 a 1/3)))
43.8b
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
0.7b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
0.7b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
0.7b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
51.0b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
44.1b
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
44.1b
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
44.7b
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
60.4b
(sqrt.f64 (*.f64 (*.f64 (*.f64 a 1/9) rand) rand))
19.8b
a
63.0b
-1/3
Compiler

Compiled 329 to 247 computations (24.9% saved)

localize14.0ms (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 1/3 (/.f64 (sqrt.f64 a) rand))))
0.2b
(/.f64 (sqrt.f64 a) rand)
1.1b
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
Compiler

Compiled 42 to 22 computations (47.6% saved)

series5.0ms (0%)

Counts
3 → 38
Calls

18 calls:

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

rewrite93.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1770×associate-/r*
1036×associate-/l*
692×associate-/r/
312×add-sqr-sqrt
298×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01463
130859
2417659
Stop Event
node limit
Counts
3 → 207
Calls
Call 1
Inputs
(/.f64 1/3 (/.f64 (sqrt.f64 a) rand))
(/.f64 (sqrt.f64 a) rand)
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
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 1/3 (/.f64 rand (sqrt.f64 a)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) (+.f64 (/.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) 1))))) (#(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 (sqrt.f64 a)))))) (#(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 -1/3 (*.f64 (/.f64 -1 (sqrt.f64 a)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (neg.f64 (/.f64 rand (sqrt.f64 a))))))) (#(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 (/.f64 rand (sqrt.f64 a)))) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 rand 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) 1) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 rand)) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand))))) (#(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 1 (sqrt.f64 a)) (*.f64 1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 a (*.f64 rand rand)))) (*.f64 1/3 (cbrt.f64 (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 a)) (*.f64 1/3 (neg.f64 rand)))))) (#(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 (/.f64 -1 (sqrt.f64 a)) rand) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (pow.f64 a 1/4)) (*.f64 1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 a)))) 1) (sqrt.f64 (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 a)))) (pow.f64 a 1/4)) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 (cbrt.f64 (/.f64 a (*.f64 rand rand)))) 1) (cbrt.f64 (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 (cbrt.f64 (/.f64 a (*.f64 rand rand)))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 rand))))) (#(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 1/3 (/.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 1/3 (neg.f64 (neg.f64 (sqrt.f64 a)))) (neg.f64 (neg.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (neg.f64 (neg.f64 (sqrt.f64 a)))) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 rand))) (sqrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 1 (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 (sqrt.f64 a)) -1) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 a)))) (sqrt.f64 (neg.f64 (sqrt.f64 a)))) (sqrt.f64 (neg.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 (cbrt.f64 (/.f64 a (*.f64 rand rand)))) (cbrt.f64 (neg.f64 (sqrt.f64 a)))) (cbrt.f64 (neg.f64 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 (/.f64 (sqrt.f64 a) rand) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (/.f64 rand (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 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 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 a) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (/.f64 1 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 a) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 a) rand)) (sqrt.f64 (/.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/4) (*.f64 (pow.f64 a 1/4) (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 a) rand)) (cbrt.f64 (/.f64 a (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (*.f64 rand rand))) (cbrt.f64 (/.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 rand) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 a)) (/.f64 -1 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 1 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 rand)) (/.f64 (sqrt.f64 a) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 rand) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a 1/4) 1) (/.f64 (pow.f64 a 1/4) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a 1/4) rand) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a 1/4) (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (pow.f64 a 1/4) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 a) 1) (/.f64 (cbrt.f64 (sqrt.f64 a)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 a) (sqrt.f64 rand)) (/.f64 (cbrt.f64 (sqrt.f64 a)) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 (/.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 a) rand) (cbrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 a (*.f64 rand rand))))) (cbrt.f64 (/.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 rand (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 a) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 a) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 a) (neg.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 a (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 a) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 a) rand)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (*.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 (/.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 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 (/.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 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 (/.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 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a (*.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)))) -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 -1/3 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (+.f64 (*.f64 a (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) a) (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) -1/3) (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 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 (/.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 1/3 (/.f64 rand (sqrt.f64 a)) 1)) (*.f64 -1/3 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) (*.f64 a (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 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 (+.f64 a -1/3) (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) -1/3)) (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 a -1/3) (*.f64 -1/3 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) (*.f64 a (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (fma.f64 a a -1/9)) (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))) (+.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) 3)))))) (#(struct:change #<rule 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-1/3)) (*.f64 1/3 (*.f64 (/.f64 rand (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 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3))))))))

simplify153.0ms (1.2%)

Algorithm
egg-herbie
Rules
1444×associate-/r/
822×associate-+r+
752×associate-+l+
576×+-commutative
506×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051610105
113719509
250589505
Stop Event
node limit
Counts
245 → 280
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))
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(*.f64 (sqrt.f64 a) (/.f64 1 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 1/3 (/.f64 rand (sqrt.f64 a)) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))) 2)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) (+.f64 (/.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) 1))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1)
(*.f64 -1/3 (*.f64 (/.f64 -1 (sqrt.f64 a)) rand))
(*.f64 -1/3 (neg.f64 (/.f64 rand (sqrt.f64 a))))
(*.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 rand 1))
(*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) 1) rand)
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 rand)) (sqrt.f64 rand))
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand))
(*.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 1 (sqrt.f64 a)) (*.f64 1/3 rand))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 a (*.f64 rand rand)))) (*.f64 1/3 (cbrt.f64 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (/.f64 -1 (sqrt.f64 a)) (*.f64 1/3 (neg.f64 rand)))
(*.f64 (/.f64 -1/3 (sqrt.f64 a)) (neg.f64 rand))
(*.f64 (*.f64 (/.f64 -1 (sqrt.f64 a)) rand) -1/3)
(*.f64 (/.f64 (sqrt.f64 rand) (pow.f64 a 1/4)) (*.f64 1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 a)))) 1) (sqrt.f64 (/.f64 rand (sqrt.f64 a))))
(*.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 a)))) (pow.f64 a 1/4)) (sqrt.f64 rand))
(*.f64 (/.f64 (/.f64 1/3 (cbrt.f64 (/.f64 a (*.f64 rand rand)))) 1) (cbrt.f64 (/.f64 rand (sqrt.f64 a))))
(*.f64 (/.f64 (/.f64 1/3 (cbrt.f64 (/.f64 a (*.f64 rand rand)))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 rand))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (sqrt.f64 rand))) (sqrt.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 1/3 (neg.f64 (neg.f64 (sqrt.f64 a)))) (neg.f64 (neg.f64 rand)))
(*.f64 (/.f64 -1/3 (neg.f64 (neg.f64 (sqrt.f64 a)))) (neg.f64 rand))
(*.f64 (/.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 1 (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 (/.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 1 (pow.f64 (cbrt.f64 rand) 2))) (cbrt.f64 rand))
(*.f64 (/.f64 (/.f64 1/3 (sqrt.f64 a)) -1) (neg.f64 rand))
(*.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 a)))) (sqrt.f64 (neg.f64 (sqrt.f64 a)))) (sqrt.f64 (neg.f64 rand)))
(*.f64 (/.f64 (/.f64 1/3 (cbrt.f64 (/.f64 a (*.f64 rand rand)))) (cbrt.f64 (neg.f64 (sqrt.f64 a)))) (cbrt.f64 (neg.f64 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 (/.f64 (sqrt.f64 a) rand) 3) -1)
(pow.f64 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3)) 1/3)
(sqrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 1/3) (/.f64 rand (sqrt.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(cbrt.f64 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 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 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 a) rand))) 1)
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(*.f64 (/.f64 (sqrt.f64 a) rand) 1)
(*.f64 1 (/.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 a) rand)) (sqrt.f64 (/.f64 (sqrt.f64 a) rand)))
(*.f64 (pow.f64 a 1/4) (*.f64 (pow.f64 a 1/4) (/.f64 1 rand)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 a) rand)) (cbrt.f64 (/.f64 a (*.f64 rand rand))))
(*.f64 (cbrt.f64 (/.f64 a (*.f64 rand rand))) (cbrt.f64 (/.f64 (sqrt.f64 a) rand)))
(*.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (sqrt.f64 a)) (/.f64 1 rand)))
(*.f64 (/.f64 1 rand) (sqrt.f64 a))
(*.f64 (neg.f64 (sqrt.f64 a)) (/.f64 -1 rand))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 1 rand))
(*.f64 (/.f64 1 (sqrt.f64 rand)) (/.f64 (sqrt.f64 a) (sqrt.f64 rand)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 rand)))
(*.f64 -1 (neg.f64 (/.f64 (sqrt.f64 a) rand)))
(*.f64 (/.f64 -1 rand) (neg.f64 (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 a 1/4) 1) (/.f64 (pow.f64 a 1/4) rand))
(*.f64 (/.f64 (pow.f64 a 1/4) rand) (pow.f64 a 1/4))
(*.f64 (/.f64 (pow.f64 a 1/4) (pow.f64 (cbrt.f64 rand) 2)) (/.f64 (pow.f64 a 1/4) (cbrt.f64 rand)))
(*.f64 (/.f64 (cbrt.f64 a) 1) (/.f64 (cbrt.f64 (sqrt.f64 a)) rand))
(*.f64 (/.f64 (cbrt.f64 a) (sqrt.f64 rand)) (/.f64 (cbrt.f64 (sqrt.f64 a)) (sqrt.f64 rand)))
(*.f64 (/.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 (/.f64 (sqrt.f64 a) rand)))
(*.f64 (/.f64 (cbrt.f64 a) rand) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 a (*.f64 rand rand))))) (cbrt.f64 (/.f64 (sqrt.f64 a) rand)))
(*.f64 (/.f64 1 (/.f64 rand (cbrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(pow.f64 (/.f64 (sqrt.f64 a) rand) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 a) rand)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 a) rand)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3) 1/3)
(pow.f64 (/.f64 rand (sqrt.f64 a)) -1)
(neg.f64 (/.f64 (sqrt.f64 a) (neg.f64 rand)))
(sqrt.f64 (/.f64 a (*.f64 rand rand)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 a) rand)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 a) rand))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))
(cbrt.f64 (/.f64 (pow.f64 a 3/2) (pow.f64 rand 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 a) rand)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 a) rand)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 a) rand)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 a) rand)))
(+.f64 a (+.f64 -1/3 (*.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)))))
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(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (+.f64 1/3 a)) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3)))) (+.f64 1/3 a)) (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (fma.f64 a a -1/9)) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) (+.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (fma.f64 a a -1/9)) (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))) (+.f64 1/3 a))
(/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))))
(exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1))))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (*.f64 (/.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 1/3 (*.f64 (/.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))
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(/.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(/.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(/.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(/.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(/.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(/.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(/.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(/.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(/.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(/.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(/.f64 (sqrt.f64 a) rand)
(*.f64 (sqrt.f64 a) (/.f64 1 rand))
(/.f64 (sqrt.f64 a) rand)
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 1/3 (*.f64 rand (-.f64 a 1/3))) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 1/3 (*.f64 rand (-.f64 a 1/3))) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 1/3 (*.f64 rand (-.f64 a 1/3))) (sqrt.f64 (/.f64 1 a)) -1/3))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 (*.f64 rand (-.f64 a 1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 1/3 (*.f64 rand (-.f64 a 1/3))) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 1/3 (*.f64 rand (-.f64 a 1/3))) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 1/3 (*.f64 rand (-.f64 a 1/3))) (sqrt.f64 (/.f64 1 a)) -1/3))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 (*.f64 rand (-.f64 a 1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 1/3 (*.f64 rand (-.f64 a 1/3))) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 1/3 (*.f64 rand (-.f64 a 1/3))) (sqrt.f64 (/.f64 1 a)) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 (*.f64 1/3 (*.f64 rand (-.f64 a 1/3))) (sqrt.f64 (/.f64 1 a)) -1/3))
(+.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 0)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(+.f64 1 (-.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(-.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) 1)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (/.f64 rand (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 -1/3 (/.f64 rand (sqrt.f64 a))))) (+.f64 (/.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) 1))
(-.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3))) (/.f64 (/.f64 1/9 a) (/.f64 (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3)) (*.f64 rand rand)))) 1)
(+.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) (/.f64 -1/9 a))) (fma.f64 (/.f64 rand (sqrt.f64 a)) -1/3 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) (/.f64 -1/9 a))) (fma.f64 (/.f64 rand (sqrt.f64 a)) -1/3 1)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 1)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 -1/3 (*.f64 (/.f64 -1 (sqrt.f64 a)) rand))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 -1/3 (neg.f64 (/.f64 rand (sqrt.f64 a))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.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 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))))
(*.f64 (cbrt.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))))
(*.f64 (cbrt.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (/.f64 rand 1))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) 1) rand)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 rand)) (sqrt.f64 rand))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (*.f64 (/.f64 1/3 (sqrt.f64 a)) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (/.f64 1/3 (pow.f64 a 1/4)) (/.f64 rand (pow.f64 a 1/4)))
(/.f64 1/3 (/.f64 (pow.f64 a 1/2) rand))
(*.f64 (/.f64 1/3 (pow.f64 a 1/2)) rand)
(*.f64 (/.f64 1/3 (cbrt.f64 a)) (/.f64 rand (cbrt.f64 (sqrt.f64 a))))
(/.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) (/.f64 rand (cbrt.f64 a)))
(*.f64 (/.f64 1 (sqrt.f64 a)) (*.f64 1/3 rand))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 a (*.f64 rand rand)))) (*.f64 1/3 (cbrt.f64 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 a))) (/.f64 1/3 (cbrt.f64 (/.f64 a (*.f64 rand rand)))))
(*.f64 (/.f64 -1 (sqrt.f64 a)) (*.f64 1/3 (neg.f64 rand)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (/.f64 -1/3 (sqrt.f64 a)) (neg.f64 rand))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (*.f64 (/.f64 -1 (sqrt.f64 a)) rand) -1/3)
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(/.f64 rand (*.f64 (sqrt.f64 a) 3))
(*.f64 (/.f64 (sqrt.f64 rand) (pow.f64 a 1/4)) (*.f64 1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 rand) (pow.f64 a 1/4)) 1/3) (sqrt.f64 (/.f64 rand (sqrt.f64 a))))
(*.f64 (sqrt.f64 rand) (*.f64 (/.f64 1/3 (pow.f64 a 1/4)) (sqrt.f64 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 a)))) 1) (sqrt.f64 (/.f64 rand (sqrt.f64 a))))
(*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 a))) (*.f64 1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 a)))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 a))) (sqrt.f64 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 a)))) (pow.f64 a 1/4)) (sqrt.f64 rand))
(*.f64 (*.f64 (/.f64 (sqrt.f64 rand) (pow.f64 a 1/4)) 1/3) (sqrt.f64 (/.f64 rand (sqrt.f64 a))))
(*.f64 (sqrt.f64 rand) (*.f64 (/.f64 1/3 (pow.f64 a 1/4)) (sqrt.f64 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (/.f64 (/.f64 1/3 (cbrt.f64 (/.f64 a (*.f64 rand rand)))) 1) (cbrt.f64 (/.f64 rand (sqrt.f64 a))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 a (*.f64 rand rand)))) (*.f64 1/3 (cbrt.f64 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 a))) (/.f64 1/3 (cbrt.f64 (/.f64 a (*.f64 rand rand)))))
(*.f64 (/.f64 (/.f64 1/3 (cbrt.f64 (/.f64 a (*.f64 rand rand)))) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 rand))
(*.f64 (cbrt.f64 rand) (/.f64 1/3 (*.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 (/.f64 a (*.f64 rand rand))))))
(*.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) (sqrt.f64 rand))) (sqrt.f64 rand))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
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(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) (cbrt.f64 (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))))) (cbrt.f64 (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3))) (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) (/.f64 -1/9 a))) (fma.f64 (/.f64 rand (sqrt.f64 a)) -1/3 1)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (+.f64 a -1/3)) 1) (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))))
(*.f64 (/.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (-.f64 a 1/3) (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (/.f64 (*.f64 rand -1/3) (sqrt.f64 a))))) (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (+.f64 a -1/3)) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))))
(*.f64 (/.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (-.f64 a 1/3) (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (/.f64 (*.f64 rand -1/3) (sqrt.f64 a))))) (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (+.f64 a -1/3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))))
(*.f64 (/.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3)))) (+.f64 a -1/3))
(*.f64 (/.f64 (-.f64 a 1/3) (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (/.f64 (*.f64 rand -1/3) (sqrt.f64 a))))) (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (+.f64 1/3 a)) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3))))
(*.f64 (fma.f64 a a -1/9) (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) (/.f64 -1/9 a))) (fma.f64 (/.f64 rand (sqrt.f64 a)) -1/3 1)) (+.f64 1/3 a)))
(/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3)))) (+.f64 1/3 a)) (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))))
(/.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (/.f64 (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3))) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))))
(*.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (*.f64 (+.f64 1/3 a) (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (/.f64 (*.f64 rand -1/3) (sqrt.f64 a)))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 1 (*.f64 (/.f64 rand (sqrt.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 (*.f64 (*.f64 rand rand) (/.f64 -1/9 a))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) -1/3 1) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))) (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))))
(/.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (/.f64 (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (*.f64 (/.f64 rand (sqrt.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 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (/.f64 (*.f64 rand -1/3) (sqrt.f64 a))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (fma.f64 a a -1/9)) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) (+.f64 1/3 a))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3))))
(*.f64 (fma.f64 a a -1/9) (/.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 rand rand) (/.f64 -1/9 a))) (fma.f64 (/.f64 rand (sqrt.f64 a)) -1/3 1)) (+.f64 1/3 a)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 a))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 1 (*.f64 (/.f64 rand (sqrt.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 (*.f64 (*.f64 rand rand) (/.f64 -1/9 a))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) -1/3 1) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (fma.f64 a a -1/9)) (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))) (+.f64 1/3 a))
(/.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (/.f64 (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3))) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))))
(*.f64 (fma.f64 a a -1/9) (/.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (*.f64 (+.f64 1/3 a) (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (/.f64 (*.f64 rand -1/3) (sqrt.f64 a)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 1 (+.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (*.f64 -1/3 (/.f64 rand (sqrt.f64 a)))))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))
(/.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (/.f64 (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (*.f64 (/.f64 rand (sqrt.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 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 a) rand) 3))) (/.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (+.f64 1/9 (*.f64 1/3 a)))) (+.f64 1 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (/.f64 (*.f64 rand -1/3) (sqrt.f64 a))))))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 1)
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (/.f64 rand (sqrt.f64 a)) 1))) 2)
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (/.f64 rand (sqrt.f64 a)) 1))) 3)
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 3) 1/3)
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3)) 2))
(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 1/3 (/.f64 rand (sqrt.f64 a)) 1)))
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (/.f64 rand (sqrt.f64 a)) 1)))))
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (/.f64 rand (sqrt.f64 a)) 1)) 3))
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (/.f64 rand (sqrt.f64 a)) 1) 3)))
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (/.f64 rand (sqrt.f64 a)) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (/.f64 rand (sqrt.f64 a)) 1))))
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (/.f64 rand (sqrt.f64 a)) 1))))
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (/.f64 rand (sqrt.f64 a)) 1))) 1))
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (/.f64 rand (sqrt.f64 a)) 1))))
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.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 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (-.f64 a 1/3))

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))

rewrite84.0ms (0.6%)

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 -1/9 (+.f64 a 1/3)))
0.4b
(/.f64 -1/9 (+.f64 a 1/3))
27.1b
(/.f64 (*.f64 a a) (+.f64 a 1/3))
Compiler

Compiled 36 to 22 computations (38.9% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite98.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1468×associate-/l*
1260×associate-/r/
840×distribute-lft-in
562×associate-/l/
248×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01069
123859
2362959
Stop Event
node limit
Counts
3 → 223
Calls
Call 1
Inputs
(/.f64 (*.f64 a a) (+.f64 a 1/3))
(/.f64 -1/9 (+.f64 a 1/3))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 -1/9 (+.f64 a 1/3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 a a) (fma.f64 a a -1/9)) a) (*.f64 (/.f64 (*.f64 a a) (fma.f64 a a -1/9)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a (/.f64 (+.f64 1/27 (pow.f64 a 3)) a)) (*.f64 a a)) (*.f64 (/.f64 a (/.f64 (+.f64 1/27 (pow.f64 a 3)) a)) (-.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a (/.f64 (+.f64 1/27 (pow.f64 a 3)) a)) (-.f64 1/9 (*.f64 a 1/3))) (*.f64 (/.f64 a (/.f64 (+.f64 1/27 (pow.f64 a 3)) a)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 a (/.f64 -1 (-.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 a (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) (/.f64 -1 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (/.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (sqrt.f64 (+.f64 a 1/3))) (/.f64 a (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (/.f64 a (+.f64 a 1/3)))) (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2))) (cbrt.f64 (*.f64 a (/.f64 a (+.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 (cbrt.f64 (*.f64 a a)) (/.f64 -1 (-.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -1/3 a)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (*.f64 a a) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x 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fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 a))) 2) (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 a))) (*.f64 a (/.f64 a (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2))) (cbrt.f64 (*.f64 a (/.f64 a (+.f64 a 1/3)))) (/.f64 1/9 (-.f64 -1/3 a)))))))

simplify166.0ms (1.3%)

Algorithm
egg-herbie
Rules
970×*-commutative
936×associate-*r*
720×associate-*r/
714×associate-*l*
702×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067113493
1221612641
Stop Event
node limit
Counts
259 → 405
Calls
Call 1
Inputs
(*.f64 3 (pow.f64 a 2))
(+.f64 (*.f64 3 (pow.f64 a 2)) (*.f64 -9 (pow.f64 a 3)))
(+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 (*.f64 27 (pow.f64 a 4)) (*.f64 -9 (pow.f64 a 3))))
(+.f64 (*.f64 -81 (pow.f64 a 5)) (+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 (*.f64 27 (pow.f64 a 4)) (*.f64 -9 (pow.f64 a 3)))))
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/9 (/.f64 1 a))) 1/3)
(-.f64 (+.f64 a (*.f64 1/9 (/.f64 1 a))) (+.f64 1/3 (*.f64 1/27 (/.f64 1 (pow.f64 a 2)))))
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/9 (/.f64 1 a))) 1/3)
(-.f64 (+.f64 a (*.f64 1/9 (/.f64 1 a))) (+.f64 1/3 (*.f64 1/27 (/.f64 1 (pow.f64 a 2)))))
-1/3
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 -3 (pow.f64 a 2))) 1/3)
(-.f64 (+.f64 (*.f64 9 (pow.f64 a 3)) (+.f64 a (*.f64 -3 (pow.f64 a 2)))) 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 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (*.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 -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 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (*.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))))
-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 (*.f64 (/.f64 (*.f64 a a) (fma.f64 a a -1/9)) a) (*.f64 (/.f64 (*.f64 a a) (fma.f64 a a -1/9)) -1/3))
(+.f64 (*.f64 (/.f64 a (/.f64 (+.f64 1/27 (pow.f64 a 3)) a)) (*.f64 a a)) (*.f64 (/.f64 a (/.f64 (+.f64 1/27 (pow.f64 a 3)) a)) (-.f64 1/9 (*.f64 a 1/3))))
(+.f64 (*.f64 (/.f64 a (/.f64 (+.f64 1/27 (pow.f64 a 3)) a)) (-.f64 1/9 (*.f64 a 1/3))) (*.f64 (/.f64 a (/.f64 (+.f64 1/27 (pow.f64 a 3)) a)) (*.f64 a a)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))))) 1)
(*.f64 a (*.f64 a (/.f64 -1 (-.f64 -1/3 a))))
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(*.f64 (*.f64 a a) (/.f64 -1 (-.f64 -1/3 a)))
(*.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1)
(*.f64 1 (*.f64 a (/.f64 a (+.f64 a 1/3))))
(*.f64 (/.f64 a (sqrt.f64 (+.f64 a 1/3))) (/.f64 a (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 a (+.f64 a 1/3)))) (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2))) (cbrt.f64 (*.f64 a (/.f64 a (+.f64 a 1/3)))))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 (cbrt.f64 (*.f64 a a)) (/.f64 -1 (-.f64 -1/3 a))))
(*.f64 (/.f64 -1 (-.f64 -1/3 a)) (*.f64 a a))
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(sqrt.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9))))
(exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9))))
(fma.f64 (*.f64 a a) (/.f64 -1 (-.f64 -1/3 a)) (/.f64 1/9 (-.f64 -1/3 a)))
(fma.f64 -1/9 (/.f64 -1 (-.f64 -1/3 a)) (*.f64 a (/.f64 a (+.f64 a 1/3))))
(fma.f64 1 (*.f64 a (/.f64 a (+.f64 a 1/3))) (/.f64 1/9 (-.f64 -1/3 a)))
(fma.f64 1 (/.f64 1/9 (-.f64 -1/3 a)) (*.f64 a (/.f64 a (+.f64 a 1/3))))
(fma.f64 (/.f64 1/3 (sqrt.f64 (-.f64 -1/3 a))) (/.f64 1/3 (sqrt.f64 (-.f64 -1/3 a))) (*.f64 a (/.f64 a (+.f64 a 1/3))))
(fma.f64 (/.f64 a (sqrt.f64 (+.f64 a 1/3))) (/.f64 a (sqrt.f64 (+.f64 a 1/3))) (/.f64 1/9 (-.f64 -1/3 a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 a))) 2) (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 a))) (*.f64 a (/.f64 a (+.f64 a 1/3))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2))) (cbrt.f64 (*.f64 a (/.f64 a (+.f64 a 1/3)))) (/.f64 1/9 (-.f64 -1/3 a)))
Outputs
(*.f64 3 (pow.f64 a 2))
(*.f64 3 (*.f64 a a))
(+.f64 (*.f64 3 (pow.f64 a 2)) (*.f64 -9 (pow.f64 a 3)))
(fma.f64 3 (*.f64 a a) (*.f64 -9 (pow.f64 a 3)))
(+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 (*.f64 27 (pow.f64 a 4)) (*.f64 -9 (pow.f64 a 3))))
(fma.f64 3 (*.f64 a a) (fma.f64 27 (pow.f64 a 4) (*.f64 -9 (pow.f64 a 3))))
(+.f64 (*.f64 -81 (pow.f64 a 5)) (+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 (*.f64 27 (pow.f64 a 4)) (*.f64 -9 (pow.f64 a 3)))))
(fma.f64 -81 (pow.f64 a 5) (fma.f64 3 (*.f64 a a) (fma.f64 27 (pow.f64 a 4) (*.f64 -9 (pow.f64 a 3)))))
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/9 (/.f64 1 a))) 1/3)
(+.f64 (+.f64 a (/.f64 1/9 a)) -1/3)
(+.f64 (/.f64 1/9 a) (+.f64 a -1/3))
(-.f64 (+.f64 a (*.f64 1/9 (/.f64 1 a))) (+.f64 1/3 (*.f64 1/27 (/.f64 1 (pow.f64 a 2)))))
(+.f64 a (-.f64 (/.f64 1/9 a) (+.f64 1/3 (/.f64 1/27 (*.f64 a a)))))
(+.f64 a (-.f64 (/.f64 1/9 a) (+.f64 1/3 (/.f64 (/.f64 1/27 a) a))))
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/9 (/.f64 1 a))) 1/3)
(+.f64 (+.f64 a (/.f64 1/9 a)) -1/3)
(+.f64 (/.f64 1/9 a) (+.f64 a -1/3))
(-.f64 (+.f64 a (*.f64 1/9 (/.f64 1 a))) (+.f64 1/3 (*.f64 1/27 (/.f64 1 (pow.f64 a 2)))))
(+.f64 a (-.f64 (/.f64 1/9 a) (+.f64 1/3 (/.f64 1/27 (*.f64 a a)))))
(+.f64 a (-.f64 (/.f64 1/9 a) (+.f64 1/3 (/.f64 (/.f64 1/27 a) a))))
-1/3
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 -3 (pow.f64 a 2))) 1/3)
(+.f64 (+.f64 a (*.f64 -3 (*.f64 a a))) -1/3)
(+.f64 (*.f64 a (*.f64 a -3)) (+.f64 a -1/3))
(-.f64 (+.f64 (*.f64 9 (pow.f64 a 3)) (+.f64 a (*.f64 -3 (pow.f64 a 2)))) 1/3)
(+.f64 (fma.f64 9 (pow.f64 a 3) (+.f64 a (*.f64 -3 (*.f64 a a)))) -1/3)
(+.f64 -1/3 (fma.f64 9 (pow.f64 a 3) (+.f64 a (*.f64 a (*.f64 a -3)))))
(/.f64 -1/9 a)
(-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(-.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (/.f64 (/.f64 1/27 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 (/.f64 1/27 a) a) (/.f64 -1/9 a)) (/.f64 1/81 (pow.f64 a 3)))
(-.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (*.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 1/243 (pow.f64 a 4)) (-.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3)))))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1/27 a) a) (/.f64 -1/9 a)) (/.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 (/.f64 1/27 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 (/.f64 1/27 a) a) (/.f64 -1/9 a)) (/.f64 1/81 (pow.f64 a 3)))
(-.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (*.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 1/243 (pow.f64 a 4)) (-.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3)))))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1/27 a) a) (/.f64 -1/9 a)) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/243 (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)
(+.f64 (*.f64 (/.f64 (*.f64 a a) (fma.f64 a a -1/9)) a) (*.f64 (/.f64 (*.f64 a a) (fma.f64 a a -1/9)) -1/3))
(*.f64 (/.f64 a (/.f64 (fma.f64 a a -1/9) a)) (+.f64 a -1/3))
(+.f64 (*.f64 (/.f64 a (/.f64 (+.f64 1/27 (pow.f64 a 3)) a)) (*.f64 a a)) (*.f64 (/.f64 a (/.f64 (+.f64 1/27 (pow.f64 a 3)) a)) (-.f64 1/9 (*.f64 a 1/3))))
(*.f64 (/.f64 a (/.f64 (+.f64 (pow.f64 a 3) 1/27) a)) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(*.f64 (*.f64 a (/.f64 a (+.f64 (pow.f64 a 3) 1/27))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3))))
(+.f64 (*.f64 (/.f64 a (/.f64 (+.f64 1/27 (pow.f64 a 3)) a)) (-.f64 1/9 (*.f64 a 1/3))) (*.f64 (/.f64 a (/.f64 (+.f64 1/27 (pow.f64 a 3)) a)) (*.f64 a a)))
(*.f64 (/.f64 a (/.f64 (+.f64 (pow.f64 a 3) 1/27) a)) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(*.f64 (*.f64 a (/.f64 a (+.f64 (pow.f64 a 3) 1/27))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))))) 1)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (/.f64 (+.f64 a 1/3) a))
(*.f64 a (*.f64 a (/.f64 -1 (-.f64 -1/3 a))))
(*.f64 (/.f64 a (-.f64 -1/3 a)) (neg.f64 a))
(*.f64 a (/.f64 (neg.f64 a) (-.f64 -1/3 a)))
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (/.f64 (+.f64 a 1/3) a))
(*.f64 (*.f64 a a) (/.f64 -1 (-.f64 -1/3 a)))
(*.f64 (/.f64 a (-.f64 -1/3 a)) (neg.f64 a))
(*.f64 a (/.f64 (neg.f64 a) (-.f64 -1/3 a)))
(*.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (/.f64 (+.f64 a 1/3) a))
(*.f64 1 (*.f64 a (/.f64 a (+.f64 a 1/3))))
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (/.f64 (+.f64 a 1/3) a))
(*.f64 (/.f64 a (sqrt.f64 (+.f64 a 1/3))) (/.f64 a (sqrt.f64 (+.f64 a 1/3))))
(pow.f64 (/.f64 a (sqrt.f64 (+.f64 a 1/3))) 2)
(*.f64 (cbrt.f64 (*.f64 a (/.f64 a (+.f64 a 1/3)))) (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2))))
(*.f64 (cbrt.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a))) (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2))) (cbrt.f64 (*.f64 a (/.f64 a (+.f64 a 1/3)))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 a (+.f64 a 1/3)))) (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2))))
(*.f64 (cbrt.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a))) (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2))))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 (cbrt.f64 (*.f64 a a)) (/.f64 -1 (-.f64 -1/3 a))))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (cbrt.f64 (*.f64 a a))))
(*.f64 (/.f64 -1 (-.f64 -1/3 a)) (*.f64 (cbrt.f64 (pow.f64 a 4)) (cbrt.f64 (*.f64 a a))))
(*.f64 (/.f64 -1 (-.f64 -1/3 a)) (*.f64 a a))
(*.f64 (/.f64 a (-.f64 -1/3 a)) (neg.f64 a))
(*.f64 a (/.f64 (neg.f64 a) (-.f64 -1/3 a)))
(*.f64 (neg.f64 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(*.f64 (/.f64 a (-.f64 -1/3 a)) (neg.f64 a))
(*.f64 a (/.f64 (neg.f64 a) (-.f64 -1/3 a)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (*.f64 a a) (sqrt.f64 (+.f64 a 1/3))))
(pow.f64 (/.f64 a (sqrt.f64 (+.f64 a 1/3))) 2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (*.f64 a a) (cbrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 a (/.f64 (cbrt.f64 (+.f64 a 1/3)) a)))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 a (cbrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 a (/.f64 1 a)) (/.f64 -1 (-.f64 -1/3 a)))
(*.f64 (/.f64 a (-.f64 -1/3 a)) (neg.f64 a))
(*.f64 a (/.f64 (neg.f64 a) (-.f64 -1/3 a)))
(*.f64 (/.f64 a (+.f64 a 1/3)) a)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (/.f64 (+.f64 a 1/3) a))
(*.f64 (/.f64 1 (fma.f64 a a -1/9)) (*.f64 (*.f64 a a) (+.f64 a -1/3)))
(*.f64 (/.f64 a (/.f64 (fma.f64 a a -1/9) a)) (+.f64 a -1/3))
(*.f64 (/.f64 1 (+.f64 1/27 (pow.f64 a 3))) (*.f64 (*.f64 a a) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(*.f64 (/.f64 a (/.f64 (+.f64 (pow.f64 a 3) 1/27) a)) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(*.f64 (*.f64 a (/.f64 a (+.f64 (pow.f64 a 3) 1/27))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3))))
(*.f64 (/.f64 (*.f64 a a) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(*.f64 (/.f64 a (/.f64 (fma.f64 a a -1/9) a)) (+.f64 a -1/3))
(*.f64 (/.f64 a (/.f64 (+.f64 1/27 (pow.f64 a 3)) a)) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(*.f64 (/.f64 a (/.f64 (+.f64 (pow.f64 a 3) 1/27) a)) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(*.f64 (*.f64 a (/.f64 a (+.f64 (pow.f64 a 3) 1/27))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3))))
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (neg.f64 (*.f64 a a)))
(*.f64 (/.f64 a (-.f64 -1/3 a)) (neg.f64 a))
(*.f64 a (/.f64 (neg.f64 a) (-.f64 -1/3 a)))
(*.f64 (/.f64 a 1) (/.f64 a (+.f64 a 1/3)))
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (/.f64 (+.f64 a 1/3) a))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 a (cbrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 a (/.f64 (cbrt.f64 (+.f64 a 1/3)) a)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a 4)) 1) (/.f64 (cbrt.f64 (*.f64 a a)) (+.f64 a 1/3)))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (/.f64 (cbrt.f64 (*.f64 a a)) (+.f64 a 1/3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a 4)) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (cbrt.f64 (*.f64 a a)) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (*.f64 a (/.f64 a (+.f64 a 1/3)))))
(*.f64 (cbrt.f64 (*.f64 a (/.f64 a (+.f64 a 1/3)))) (/.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (cbrt.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a))) (/.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(*.f64 (/.f64 a (/.f64 (+.f64 a 1/3) (sqrt.f64 a))) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) (*.f64 (/.f64 a (+.f64 a 1/3)) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 a) (+.f64 a 1/3)) (*.f64 a (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 a) (/.f64 (+.f64 a 1/3) a)) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) (*.f64 (/.f64 a (+.f64 a 1/3)) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 a) (+.f64 a 1/3)) (*.f64 a (sqrt.f64 a)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a 4)) (+.f64 a 1/3)) (cbrt.f64 (*.f64 a a)))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (/.f64 (cbrt.f64 (*.f64 a a)) (+.f64 a 1/3)))
(*.f64 (/.f64 (*.f64 a a) (neg.f64 (fma.f64 a a -1/9))) (neg.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (*.f64 a a) (neg.f64 (fma.f64 a a -1/9))) (+.f64 (neg.f64 a) 1/3))
(*.f64 (/.f64 a (/.f64 (neg.f64 (fma.f64 a a -1/9)) a)) (-.f64 1/3 a))
(*.f64 (/.f64 (*.f64 a a) (neg.f64 (+.f64 1/27 (pow.f64 a 3)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(*.f64 (/.f64 (*.f64 a a) (+.f64 -1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(*.f64 (+.f64 1/9 (*.f64 a (+.f64 a -1/3))) (/.f64 (*.f64 a (neg.f64 a)) (-.f64 -1/27 (pow.f64 a 3))))
(*.f64 (/.f64 a (fma.f64 a a -1/9)) (*.f64 a (+.f64 a -1/3)))
(*.f64 (/.f64 a (/.f64 (fma.f64 a a -1/9) a)) (+.f64 a -1/3))
(*.f64 (/.f64 a (+.f64 1/27 (pow.f64 a 3))) (*.f64 a (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
(*.f64 (/.f64 a (/.f64 (+.f64 (pow.f64 a 3) 1/27) a)) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(*.f64 (*.f64 a (/.f64 a (+.f64 (pow.f64 a 3) 1/27))) (+.f64 1/9 (*.f64 a (+.f64 a -1/3))))
(*.f64 (/.f64 a (-.f64 -1/3 a)) (neg.f64 a))
(*.f64 a (/.f64 (neg.f64 a) (-.f64 -1/3 a)))
(*.f64 (/.f64 a (/.f64 (+.f64 a 1/3) (cbrt.f64 (*.f64 a a)))) (cbrt.f64 a))
(*.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))
(*.f64 (/.f64 a (+.f64 a 1/3)) (*.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a)))
(*.f64 (/.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a))
(*.f64 (/.f64 (*.f64 a a) (neg.f64 (fma.f64 a a -1/9))) (+.f64 (neg.f64 a) 1/3))
(*.f64 (/.f64 a (/.f64 (neg.f64 (fma.f64 a a -1/9)) a)) (-.f64 1/3 a))
(*.f64 (/.f64 1 (/.f64 (+.f64 a 1/3) (cbrt.f64 (pow.f64 a 4)))) (cbrt.f64 (*.f64 a a)))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (/.f64 (cbrt.f64 (*.f64 a a)) (+.f64 a 1/3)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (/.f64 (+.f64 a 1/3) a)) (cbrt.f64 a))
(*.f64 (cbrt.f64 a) (*.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (+.f64 a 1/3)) a))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a a)) (+.f64 a 1/3)) (*.f64 a (cbrt.f64 a)))
(*.f64 (/.f64 (neg.f64 (*.f64 a a)) (neg.f64 (fma.f64 a a -1/9))) (+.f64 a -1/3))
(*.f64 (/.f64 (*.f64 a a) (neg.f64 (fma.f64 a a -1/9))) (+.f64 (neg.f64 a) 1/3))
(*.f64 (/.f64 a (/.f64 (neg.f64 (fma.f64 a a -1/9)) a)) (-.f64 1/3 a))
(*.f64 (/.f64 (neg.f64 (*.f64 a a)) (neg.f64 (+.f64 1/27 (pow.f64 a 3)))) (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3))))
(*.f64 (/.f64 (*.f64 a a) (+.f64 -1/27 (neg.f64 (pow.f64 a 3)))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a 1/3)))))
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(*.f64 (/.f64 (fma.f64 1/9 (/.f64 (+.f64 a 1/3) a) (*.f64 a (-.f64 -1/3 a))) (neg.f64 (pow.f64 (+.f64 a 1/3) 2))) a)
(/.f64 (+.f64 (+.f64 a 1/3) (*.f64 (*.f64 a a) (/.f64 (-.f64 -1/3 a) 1/9))) (*.f64 (+.f64 a 1/3) (/.f64 (-.f64 -1/3 a) 1/9)))
(/.f64 (+.f64 a (+.f64 1/3 (/.f64 (*.f64 (*.f64 a a) (-.f64 -1/3 a)) 1/9))) (*.f64 (+.f64 a 1/3) (/.f64 (-.f64 -1/3 a) 1/9)))
(/.f64 (+.f64 a (+.f64 1/3 (*.f64 a (/.f64 (-.f64 -1/3 a) (/.f64 1/9 a))))) (/.f64 (neg.f64 (pow.f64 (+.f64 a 1/3) 2)) 1/9))
(/.f64 (+.f64 (*.f64 (*.f64 a a) (-.f64 -1/3 a)) (*.f64 (+.f64 a 1/3) 1/9)) (*.f64 (+.f64 a 1/3) (-.f64 -1/3 a)))
(/.f64 (fma.f64 (*.f64 a a) (-.f64 -1/3 a) (*.f64 1/9 (+.f64 a 1/3))) (*.f64 (+.f64 a 1/3) (-.f64 -1/3 a)))
(/.f64 (+.f64 1/27 (*.f64 a (+.f64 1/9 (*.f64 a (-.f64 -1/3 a))))) (neg.f64 (pow.f64 (+.f64 a 1/3) 2)))
(/.f64 (+.f64 a (+.f64 1/3 (*.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) -1/9))) (*.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) (+.f64 a 1/3)))
(/.f64 (+.f64 (+.f64 a 1/3) (*.f64 -1/9 (/.f64 (+.f64 a 1/3) (*.f64 a a)))) (/.f64 (pow.f64 (+.f64 a 1/3) 2) (*.f64 a a)))
(*.f64 (/.f64 (+.f64 (+.f64 a 1/3) (/.f64 (fma.f64 -1/9 a -1/27) (*.f64 a a))) (pow.f64 (+.f64 a 1/3) 2)) (*.f64 a a))
(/.f64 (+.f64 (/.f64 (-.f64 -1/3 a) 1/9) (*.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) 1)) (*.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) (/.f64 (-.f64 -1/3 a) 1/9)))
(/.f64 (+.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) (/.f64 (-.f64 -1/3 a) 1/9)) (*.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) (/.f64 (-.f64 -1/3 a) 1/9)))
(*.f64 (/.f64 (+.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) (-.f64 -3 (/.f64 a 1/9))) (/.f64 (neg.f64 (pow.f64 (+.f64 a 1/3) 2)) 1/9)) (*.f64 a a))
(/.f64 (+.f64 (-.f64 -1/3 a) (*.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) 1/9)) (*.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) (-.f64 -1/3 a)))
(/.f64 (+.f64 (-.f64 -1/3 a) (*.f64 1/9 (/.f64 (+.f64 a 1/3) (*.f64 a a)))) (*.f64 (-.f64 -1/3 a) (/.f64 (+.f64 a 1/3) (*.f64 a a))))
(/.f64 (-.f64 -1/3 (+.f64 a (/.f64 (fma.f64 -1/9 a -1/27) (*.f64 a a)))) (/.f64 (neg.f64 (pow.f64 (+.f64 a 1/3) 2)) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a a)) (+.f64 a 1/3)) (*.f64 (-.f64 -1/3 a) -1/9)) (*.f64 (-.f64 -1/3 a) (+.f64 a 1/3)))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a a)) (/.f64 (-.f64 -1/3 a) 1/9)) (*.f64 (-.f64 -1/3 a) 1)) (*.f64 (-.f64 -1/3 a) (/.f64 (-.f64 -1/3 a) 1/9)))
(/.f64 (fma.f64 (neg.f64 (*.f64 a a)) (/.f64 (-.f64 -1/3 a) 1/9) (-.f64 -1/3 a)) (/.f64 (*.f64 (-.f64 -1/3 a) (-.f64 -1/3 a)) 1/9))
(/.f64 (fma.f64 (*.f64 a (neg.f64 a)) (-.f64 -3 (/.f64 a 1/9)) (-.f64 -1/3 a)) (/.f64 (*.f64 (-.f64 -1/3 a) (-.f64 -1/3 a)) 1/9))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 a a)) (-.f64 -1/3 a)) (*.f64 (-.f64 -1/3 a) 1/9)) (*.f64 (-.f64 -1/3 a) (-.f64 -1/3 a)))
(/.f64 (fma.f64 1/9 (-.f64 -1/3 a) (*.f64 (-.f64 -1/3 a) (neg.f64 (*.f64 a a)))) (*.f64 (-.f64 -1/3 a) (-.f64 -1/3 a)))
(/.f64 (*.f64 (-.f64 -1/3 a) (neg.f64 (fma.f64 a a -1/9))) (*.f64 (-.f64 -1/3 a) (-.f64 -1/3 a)))
(/.f64 (+.f64 (*.f64 (+.f64 a 1/3) a) (*.f64 -1/9 (/.f64 (+.f64 a 1/3) a))) (*.f64 (+.f64 a 1/3) (/.f64 (+.f64 a 1/3) a)))
(/.f64 (fma.f64 a (+.f64 a 1/3) (/.f64 (*.f64 -1/9 (+.f64 a 1/3)) a)) (/.f64 (pow.f64 (+.f64 a 1/3) 2) a))
(*.f64 (/.f64 (fma.f64 a (+.f64 a 1/3) (/.f64 (fma.f64 -1/9 a -1/27) a)) (pow.f64 (+.f64 a 1/3) 2)) a)
(/.f64 (+.f64 (+.f64 a 1/3) (*.f64 -1/9 (/.f64 (+.f64 a 1/3) (*.f64 a a)))) (*.f64 (+.f64 a 1/3) (/.f64 (+.f64 a 1/3) (*.f64 a a))))
(/.f64 (+.f64 (+.f64 a 1/3) (*.f64 -1/9 (/.f64 (+.f64 a 1/3) (*.f64 a a)))) (/.f64 (pow.f64 (+.f64 a 1/3) 2) (*.f64 a a)))
(*.f64 (/.f64 (+.f64 (+.f64 a 1/3) (/.f64 (fma.f64 -1/9 a -1/27) (*.f64 a a))) (pow.f64 (+.f64 a 1/3) 2)) (*.f64 a a))
(/.f64 (+.f64 (*.f64 -1/9 (-.f64 -1/3 a)) (*.f64 (+.f64 a 1/3) (neg.f64 (*.f64 a a)))) (*.f64 (+.f64 a 1/3) (-.f64 -1/3 a)))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(/.f64 (+.f64 (/.f64 (+.f64 a 1/3) a) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) a)) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (/.f64 (+.f64 a 1/3) a)))
(/.f64 (fma.f64 a (/.f64 (-.f64 -1/3 a) 1/9) (/.f64 (+.f64 a 1/3) a)) (*.f64 (/.f64 (+.f64 a 1/3) a) (/.f64 (-.f64 -1/3 a) 1/9)))
(*.f64 (/.f64 (fma.f64 a (-.f64 -3 (/.f64 a 1/9)) (/.f64 (+.f64 a 1/3) a)) (/.f64 (neg.f64 (pow.f64 (+.f64 a 1/3) 2)) a)) 1/9)
(/.f64 (+.f64 a (+.f64 1/3 (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (*.f64 a a)))) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (+.f64 a 1/3)))
(/.f64 (+.f64 a (+.f64 1/3 (/.f64 (*.f64 (*.f64 a a) (-.f64 -1/3 a)) 1/9))) (*.f64 (+.f64 a 1/3) (/.f64 (-.f64 -1/3 a) 1/9)))
(/.f64 (+.f64 a (+.f64 1/3 (*.f64 a (/.f64 (-.f64 -1/3 a) (/.f64 1/9 a))))) (/.f64 (neg.f64 (pow.f64 (+.f64 a 1/3) 2)) 1/9))
(/.f64 (+.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) 1)) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (/.f64 (+.f64 a 1/3) (*.f64 a a))))
(/.f64 (+.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) (/.f64 (-.f64 -1/3 a) 1/9)) (*.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) (/.f64 (-.f64 -1/3 a) 1/9)))
(*.f64 (/.f64 (+.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) (-.f64 -3 (/.f64 a 1/9))) (/.f64 (neg.f64 (pow.f64 (+.f64 a 1/3) 2)) 1/9)) (*.f64 a a))
(/.f64 (+.f64 (-.f64 -1/3 a) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (neg.f64 (*.f64 a a)))) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (-.f64 -1/3 a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 a a)) (/.f64 (-.f64 -1/3 a) 1/9) (-.f64 -1/3 a)) (/.f64 (*.f64 (-.f64 -1/3 a) (-.f64 -1/3 a)) 1/9))
(/.f64 (fma.f64 (*.f64 a (neg.f64 a)) (-.f64 -3 (/.f64 a 1/9)) (-.f64 -1/3 a)) (/.f64 (*.f64 (-.f64 -1/3 a) (-.f64 -1/3 a)) 1/9))
(/.f64 (+.f64 (*.f64 1/9 (/.f64 (+.f64 a 1/3) a)) (*.f64 (-.f64 -1/3 a) a)) (*.f64 (-.f64 -1/3 a) (/.f64 (+.f64 a 1/3) a)))
(/.f64 (fma.f64 1/9 (/.f64 (+.f64 a 1/3) a) (*.f64 a (-.f64 -1/3 a))) (*.f64 (-.f64 -1/3 a) (/.f64 (+.f64 a 1/3) a)))
(*.f64 (/.f64 (fma.f64 1/9 (/.f64 (+.f64 a 1/3) a) (*.f64 a (-.f64 -1/3 a))) (neg.f64 (pow.f64 (+.f64 a 1/3) 2))) a)
(/.f64 (+.f64 (+.f64 1/27 (*.f64 1/9 a)) (*.f64 (-.f64 -1/3 a) (*.f64 a a))) (*.f64 (-.f64 -1/3 a) (+.f64 a 1/3)))
(/.f64 (fma.f64 (*.f64 a a) (-.f64 -1/3 a) (*.f64 1/9 (+.f64 a 1/3))) (*.f64 (+.f64 a 1/3) (-.f64 -1/3 a)))
(/.f64 (+.f64 1/27 (*.f64 a (+.f64 1/9 (*.f64 a (-.f64 -1/3 a))))) (neg.f64 (pow.f64 (+.f64 a 1/3) 2)))
(/.f64 (+.f64 (*.f64 (-.f64 -1/3 a) 1) (*.f64 1/9 (/.f64 (+.f64 a 1/3) (*.f64 a a)))) (*.f64 (-.f64 -1/3 a) (/.f64 (+.f64 a 1/3) (*.f64 a a))))
(/.f64 (+.f64 (-.f64 -1/3 a) (*.f64 1/9 (/.f64 (+.f64 a 1/3) (*.f64 a a)))) (*.f64 (-.f64 -1/3 a) (/.f64 (+.f64 a 1/3) (*.f64 a a))))
(/.f64 (-.f64 -1/3 (+.f64 a (/.f64 (fma.f64 -1/9 a -1/27) (*.f64 a a)))) (/.f64 (neg.f64 (pow.f64 (+.f64 a 1/3) 2)) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 1/9 (-.f64 -1/3 a)) (*.f64 (-.f64 -1/3 a) (neg.f64 (*.f64 a a)))) (*.f64 (-.f64 -1/3 a) (-.f64 -1/3 a)))
(/.f64 (fma.f64 1/9 (-.f64 -1/3 a) (*.f64 (-.f64 -1/3 a) (neg.f64 (*.f64 a a)))) (*.f64 (-.f64 -1/3 a) (-.f64 -1/3 a)))
(/.f64 (*.f64 (-.f64 -1/3 a) (neg.f64 (fma.f64 a a -1/9))) (*.f64 (-.f64 -1/3 a) (-.f64 -1/3 a)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2)) (/.f64 1/81 (pow.f64 (+.f64 a 1/3) 2)))) (neg.f64 (/.f64 (+.f64 (*.f64 a a) 1/9) (+.f64 a 1/3))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2)) (/.f64 1/81 (pow.f64 (+.f64 a 1/3) 2)))) (neg.f64 (/.f64 (fma.f64 a a 1/9) (+.f64 a 1/3))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2)) (/.f64 -1/81 (pow.f64 (+.f64 a 1/3) 2)))) (neg.f64 (/.f64 (fma.f64 a a 1/9) (+.f64 a 1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 3) (/.f64 1/729 (pow.f64 (-.f64 -1/3 a) 3)))) (neg.f64 (+.f64 (/.f64 1/81 (pow.f64 (+.f64 a 1/3) 2)) (-.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2)) (/.f64 (*.f64 a a) (/.f64 (pow.f64 (+.f64 a 1/3) 2) -1/9))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 3) (/.f64 1/729 (pow.f64 (-.f64 -1/3 a) 3)))) (neg.f64 (+.f64 (/.f64 1/81 (pow.f64 (+.f64 a 1/3) 2)) (-.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2)) (*.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 a 1/3) 2)) -1/9)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) 3)) (/.f64 -1/729 (pow.f64 (-.f64 -1/3 a) 3))) (+.f64 (/.f64 -1/81 (pow.f64 (+.f64 a 1/3) 2)) (neg.f64 (+.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2)) (*.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 a 1/3) 2) a)) 1/9)))))
(/.f64 (neg.f64 (*.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (neg.f64 (pow.f64 (+.f64 a 1/3) 2)))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(pow.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9)) 1)
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9))) 2)
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9))) 3)
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(pow.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9)) 3) 1/3)
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9)) 2))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9))))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9)))))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9)) 3))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9))))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9))))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9))) 1))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1 (-.f64 -1/3 a)) (fma.f64 a a -1/9))))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(fma.f64 (*.f64 a a) (/.f64 -1 (-.f64 -1/3 a)) (/.f64 1/9 (-.f64 -1/3 a)))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(fma.f64 -1/9 (/.f64 -1 (-.f64 -1/3 a)) (*.f64 a (/.f64 a (+.f64 a 1/3))))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) (/.f64 1/9 (-.f64 -1/3 a)))
(+.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (-.f64 -1/3 a)))
(fma.f64 1 (*.f64 a (/.f64 a (+.f64 a 1/3))) (/.f64 1/9 (-.f64 -1/3 a)))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) (/.f64 1/9 (-.f64 -1/3 a)))
(+.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (-.f64 -1/3 a)))
(fma.f64 1 (/.f64 1/9 (-.f64 -1/3 a)) (*.f64 a (/.f64 a (+.f64 a 1/3))))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) (/.f64 1/9 (-.f64 -1/3 a)))
(+.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (-.f64 -1/3 a)))
(fma.f64 (/.f64 1/3 (sqrt.f64 (-.f64 -1/3 a))) (/.f64 1/3 (sqrt.f64 (-.f64 -1/3 a))) (*.f64 a (/.f64 a (+.f64 a 1/3))))
(+.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 (-.f64 -1/3 a))) 2) (*.f64 a (/.f64 a (+.f64 a 1/3))))
(+.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (pow.f64 (/.f64 1/3 (sqrt.f64 (-.f64 -1/3 a))) 2))
(fma.f64 (/.f64 a (sqrt.f64 (+.f64 a 1/3))) (/.f64 a (sqrt.f64 (+.f64 a 1/3))) (/.f64 1/9 (-.f64 -1/3 a)))
(+.f64 (pow.f64 (/.f64 a (sqrt.f64 (+.f64 a 1/3))) 2) (/.f64 1/9 (-.f64 -1/3 a)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 a))) 2) (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 a))) (*.f64 a (/.f64 a (+.f64 a 1/3))))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) (/.f64 1/9 (-.f64 -1/3 a)))
(+.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a)) (/.f64 1/9 (-.f64 -1/3 a)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2))) (cbrt.f64 (*.f64 a (/.f64 a (+.f64 a 1/3)))) (/.f64 1/9 (-.f64 -1/3 a)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2))) (cbrt.f64 (/.f64 a (/.f64 (+.f64 a 1/3) a))) (/.f64 1/9 (-.f64 -1/3 a)))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 17 to 7 computations (58.8% saved)

series3.0ms (0%)

Counts
2 → 0
Calls

12 calls:

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

rewrite85.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify42.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 -1/27 (*.f64 a 1/9))
0.2b
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
0.2b
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
0.4b
(*.f64 a 1/9)
Compiler

Compiled 28 to 21 computations (25% saved)

series5.0ms (0%)

Counts
4 → 44
Calls

15 calls:

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

rewrite85.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01160
122848
2272048
Stop Event
node limit
Counts
4 → 183
Calls
Call 1
Inputs
(*.f64 a 1/9)
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
(sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))
(+.f64 -1/27 (*.f64 a 1/9))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) (exp.f64 (log1p.f64 (*.f64 a 1/9)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3) 1/729) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a a) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a 1/9)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) rand) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) rand) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) (pow.f64 (fma.f64 a 1/9 -1/27) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) (cbrt.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 1/9 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/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 (*.f64 (*.f64 a a) 1/81) 1/729))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/387420489 (pow.f64 (*.f64 (*.f64 a a) 1/81) 3)) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 (+.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (*.f64 1/59049 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/387420489 (*.f64 1/531441 (pow.f64 a 6))) (/.f64 1 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(+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) 1) (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1/729 (+.f64 -1/27 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-1/27) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (+.f64 1/27 (neg.f64 (*.f64 a -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1/9 -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/9 a -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 1/9) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) 1/3) (*.f64 (sqrt.f64 a) 1/3) -1/27)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/9)) 2) (cbrt.f64 (*.f64 a 1/9)) -1/27)))))

simplify459.0ms (3.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
04787899
111676813
245206813
Stop Event
node limit
Counts
227 → 324
Calls
Call 1
Inputs
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 (sqrt.f64 -1/27) rand)
(+.f64 (*.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand))
(+.f64 (*.f64 -1/648 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (*.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand)))
(+.f64 (*.f64 -1/648 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (*.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27))) (+.f64 (*.f64 1/11664 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/27) 5))) (*.f64 (sqrt.f64 -1/27) rand))))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(sqrt.f64 -1/27)
(+.f64 (sqrt.f64 -1/27) (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))))
(+.f64 (sqrt.f64 -1/27) (+.f64 (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3)))))
(+.f64 (sqrt.f64 -1/27) (+.f64 (*.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5))) (+.f64 (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3))))))
-1/27
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) (exp.f64 (log1p.f64 (*.f64 a 1/9)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1))
(pow.f64 (*.f64 a 1/9) 1)
(pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)
(pow.f64 (*.f64 (pow.f64 a 3) 1/729) 1/3)
(sqrt.f64 (*.f64 (*.f64 a a) 1/81))
(log.f64 (pow.f64 (exp.f64 1/9) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))
(cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))
(expm1.f64 (log1p.f64 (*.f64 a 1/9)))
(exp.f64 (log.f64 (*.f64 a 1/9)))
(log1p.f64 (expm1.f64 (*.f64 a 1/9)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1)
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) rand) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) rand) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3) 1/3)
(sqrt.f64 (*.f64 (fma.f64 a 1/9 -1/27) (*.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (fma.f64 a 1/9 -1/27))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) (pow.f64 rand 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)))) 1)
(*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 1)
(*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (pow.f64 1 1/2))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 2)) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (*.f64 (-.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 (*.f64 (*.f64 a a) 1/81) 1/729))
(/.f64 (*.f64 (-.f64 1/387420489 (pow.f64 (*.f64 (*.f64 a a) 1/81) 3)) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 (+.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (*.f64 1/59049 (*.f64 a a))))
(/.f64 (*.f64 (-.f64 1/387420489 (*.f64 1/531441 (pow.f64 a 6))) (/.f64 1 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))) (-.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))
(/.f64 (*.f64 (+.f64 -1/7625597484987 (pow.f64 (*.f64 (pow.f64 a 3) 1/729) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))) (+.f64 1/387420489 (+.f64 (*.f64 1/531441 (pow.f64 a 6)) (*.f64 1/19683 (*.f64 (pow.f64 a 3) 1/729)))))
(/.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) 1) (+.f64 -1/27 (*.f64 a -1/9)))
(/.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (*.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) 1) (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9)))) (*.f64 (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9)))))
(pow.f64 (fma.f64 a 1/9 -1/27) 1)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 4)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 6)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 2/3)
(neg.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (+.f64 1/27 (neg.f64 (*.f64 a -1/9)))))
(neg.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))))
(sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))
(log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))
(expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))
(exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))
(log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 a 1/9 -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1 (*.f64 a 1/9) -1/27)
(fma.f64 (*.f64 (sqrt.f64 a) 1/3) (*.f64 (sqrt.f64 a) 1/3) -1/27)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/9)) 2) (cbrt.f64 (*.f64 a 1/9)) -1/27)
Outputs
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 1/9 a)
(*.f64 (sqrt.f64 -1/27) rand)
(+.f64 (*.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand))
(fma.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27)) (*.f64 (sqrt.f64 -1/27) rand))
(fma.f64 (sqrt.f64 -1/27) rand (*.f64 1/18 (*.f64 (/.f64 a (sqrt.f64 -1/27)) rand)))
(fma.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -1/27)) a) (*.f64 (sqrt.f64 -1/27) rand))
(+.f64 (*.f64 -1/648 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (*.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27))) (*.f64 (sqrt.f64 -1/27) rand)))
(fma.f64 -1/648 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3)) (fma.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27)) (*.f64 (sqrt.f64 -1/27) rand)))
(+.f64 (fma.f64 (sqrt.f64 -1/27) rand (*.f64 1/18 (*.f64 (/.f64 a (sqrt.f64 -1/27)) rand))) (*.f64 1/24 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/27))))
(+.f64 (fma.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -1/27)) a) (*.f64 (sqrt.f64 -1/27) rand)) (*.f64 (/.f64 (*.f64 1/24 (*.f64 a a)) (sqrt.f64 -1/27)) rand))
(+.f64 (*.f64 -1/648 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/27) 3))) (+.f64 (*.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27))) (+.f64 (*.f64 1/11664 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/27) 5))) (*.f64 (sqrt.f64 -1/27) rand))))
(fma.f64 -1/648 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3)) (fma.f64 1/18 (/.f64 (*.f64 a rand) (sqrt.f64 -1/27)) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/27) 5) rand)) (*.f64 (sqrt.f64 -1/27) rand))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/27))) (fma.f64 1/18 (*.f64 (/.f64 a (sqrt.f64 -1/27)) rand) (fma.f64 (sqrt.f64 -1/27) rand (*.f64 1/11664 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/27) 5) rand))))))
(+.f64 (*.f64 (/.f64 (*.f64 1/24 (*.f64 a a)) (sqrt.f64 -1/27)) rand) (fma.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -1/27)) a) (fma.f64 (sqrt.f64 -1/27) rand (*.f64 (/.f64 1/11664 (pow.f64 (sqrt.f64 -1/27) 5)) (*.f64 rand (pow.f64 a 3))))))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(*.f64 rand (sqrt.f64 (-.f64 (*.f64 1/9 a) 1/27)))
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(sqrt.f64 -1/27)
(+.f64 (sqrt.f64 -1/27) (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))))
(fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (sqrt.f64 -1/27))
(+.f64 (sqrt.f64 -1/27) (+.f64 (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3)))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (/.f64 (*.f64 -1/648 (*.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (*.f64 1/24 (/.f64 (*.f64 a a) (sqrt.f64 -1/27)))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (/.f64 (*.f64 1/24 (*.f64 a a)) (sqrt.f64 -1/27))))
(+.f64 (sqrt.f64 -1/27) (+.f64 (*.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5))) (+.f64 (*.f64 1/18 (/.f64 a (sqrt.f64 -1/27))) (*.f64 -1/648 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/27) 3))))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5)) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (/.f64 (*.f64 -1/648 (*.f64 a a)) (pow.f64 (sqrt.f64 -1/27) 3)))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5)) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (*.f64 1/24 (/.f64 (*.f64 a a) (sqrt.f64 -1/27))))))
(+.f64 (sqrt.f64 -1/27) (fma.f64 1/11664 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/27) 5)) (fma.f64 1/18 (/.f64 a (sqrt.f64 -1/27)) (/.f64 (*.f64 1/24 (*.f64 a a)) (sqrt.f64 -1/27)))))
-1/27
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(*.f64 1/9 a)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(-.f64 (*.f64 1/9 a) 1/27)
(fma.f64 1/9 a -1/27)
(+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) -1)
(*.f64 1/9 a)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1)
(*.f64 1/9 a)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) (exp.f64 (log1p.f64 (*.f64 a 1/9)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a 1/9))) 1))
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 1) (*.f64 1/9 a)) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 1/9 a)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/9 a))) 1))
(pow.f64 (*.f64 a 1/9) 1)
(*.f64 1/9 a)
(pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2)
(pow.f64 (cbrt.f64 (*.f64 a 1/9)) 3)
(*.f64 1/9 a)
(pow.f64 (*.f64 (pow.f64 a 3) 1/729) 1/3)
(cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))
(sqrt.f64 (*.f64 (*.f64 a a) 1/81))
(sqrt.f64 (*.f64 a (*.f64 a 1/81)))
(log.f64 (pow.f64 (exp.f64 1/9) a))
(*.f64 1/9 a)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a 1/9))))
(*.f64 1/9 a)
(cbrt.f64 (*.f64 (pow.f64 a 3) 1/729))
(expm1.f64 (log1p.f64 (*.f64 a 1/9)))
(*.f64 1/9 a)
(exp.f64 (log.f64 (*.f64 a 1/9)))
(*.f64 1/9 a)
(log1p.f64 (expm1.f64 (*.f64 a 1/9)))
(*.f64 1/9 a)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) -1)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) rand))) 1)
(*.f64 rand (sqrt.f64 (fma.f64 1/9 a -1/27)))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (*.f64 a a) 1/81 1/729) (*.f64 a 1/243))) rand))
(/.f64 (*.f64 rand (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683))) (sqrt.f64 (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))) (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)))
(/.f64 (*.f64 rand (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (sqrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729)) (sqrt.f64 (fma.f64 a -1/9 -1/27))) rand)
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) -1/81 1/729)) (/.f64 (sqrt.f64 (fma.f64 a -1/9 -1/27)) rand))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) rand) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (*.f64 a a) 1/81 1/729) (*.f64 a 1/243))) rand))
(/.f64 (*.f64 rand (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683))) (sqrt.f64 (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))) (sqrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) rand) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (sqrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729)) (sqrt.f64 (fma.f64 a -1/9 -1/27))) rand)
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) -1/81 1/729)) (/.f64 (sqrt.f64 (fma.f64 a -1/9 -1/27)) rand))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683)) (/.f64 (cbrt.f64 (+.f64 (fma.f64 (*.f64 a a) 1/81 1/729) (*.f64 a 1/243))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))) (cbrt.f64 (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729))))
(*.f64 (/.f64 (*.f64 rand (cbrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683))) (cbrt.f64 (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (cbrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81)))) (/.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (*.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))))
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(*.f64 (/.f64 (cbrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729)) (cbrt.f64 (fma.f64 a -1/9 -1/27))) (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (*.f64 a a) -1/81 1/729)) (cbrt.f64 (fma.f64 a -1/9 -1/27))) (pow.f64 (cbrt.f64 (fma.f64 1/9 a -1/27)) 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(/.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683)) (/.f64 (cbrt.f64 (+.f64 (fma.f64 (*.f64 a a) 1/81 1/729) (*.f64 a 1/243))) (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683)) (cbrt.f64 (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 4))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81))) (*.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(/.f64 (cbrt.f64 (+.f64 1/729 (*.f64 a (*.f64 a -1/81)))) (/.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (*.f64 (sqrt.f64 (fma.f64 1/9 a -1/27)) (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))))))
(/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 4) (/.f64 (cbrt.f64 (fma.f64 a -1/9 -1/27)) (cbrt.f64 (fma.f64 a (*.f64 a -1/81) 1/729))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (*.f64 a a) -1/81 1/729)) (cbrt.f64 (fma.f64 a -1/9 -1/27))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/9 a -1/27))) 4))
(/.f64 (*.f64 (-.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 (*.f64 (*.f64 a a) 1/81) 1/729))
(/.f64 (+.f64 1/531441 (*.f64 -1/6561 (pow.f64 a 4))) (*.f64 (+.f64 -1/27 (*.f64 a -1/9)) (fma.f64 (*.f64 a a) 1/81 1/729)))
(/.f64 (+.f64 1/531441 (*.f64 (pow.f64 a 4) -1/6561)) (*.f64 (fma.f64 a -1/9 -1/27) (fma.f64 a (*.f64 a 1/81) 1/729)))
(/.f64 (*.f64 (-.f64 1/387420489 (pow.f64 (*.f64 (*.f64 a a) 1/81) 3)) (/.f64 1 (+.f64 -1/27 (*.f64 a -1/9)))) (+.f64 (+.f64 1/531441 (*.f64 1/6561 (pow.f64 a 4))) (*.f64 1/59049 (*.f64 a a))))
(/.f64 (-.f64 1/387420489 (*.f64 (pow.f64 (*.f64 a a) 3) 1/531441)) (*.f64 (+.f64 -1/27 (*.f64 a -1/9)) (+.f64 1/531441 (+.f64 (*.f64 1/6561 (pow.f64 a 4)) (*.f64 (*.f64 a a) 1/59049)))))
(/.f64 (+.f64 1/387420489 (*.f64 (pow.f64 a 6) -1/531441)) (*.f64 (fma.f64 a -1/9 -1/27) (fma.f64 (*.f64 a a) 1/59049 (fma.f64 1/6561 (pow.f64 a 4) 1/531441))))
(/.f64 (*.f64 (-.f64 1/387420489 (*.f64 1/531441 (pow.f64 a 6))) (/.f64 1 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))) (-.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)))
(/.f64 (/.f64 (+.f64 1/387420489 (*.f64 -1/531441 (pow.f64 a 6))) (+.f64 (fma.f64 (*.f64 a a) 1/81 1/729) (*.f64 a 1/243))) (+.f64 -1/19683 (*.f64 (pow.f64 a 3) -1/729)))
(/.f64 (+.f64 1/387420489 (*.f64 (pow.f64 a 6) -1/531441)) (*.f64 (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)) (+.f64 -1/19683 (*.f64 (pow.f64 a 3) -1/729))))
(/.f64 (+.f64 1/387420489 (*.f64 (pow.f64 a 6) -1/531441)) (*.f64 (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)) (-.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729))))
(/.f64 (*.f64 (+.f64 -1/7625597484987 (pow.f64 (*.f64 (pow.f64 a 3) 1/729) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))) (+.f64 1/387420489 (+.f64 (*.f64 1/531441 (pow.f64 a 6)) (*.f64 1/19683 (*.f64 (pow.f64 a 3) 1/729)))))
(/.f64 (+.f64 -1/7625597484987 (*.f64 (pow.f64 (pow.f64 a 3) 3) 1/387420489)) (*.f64 (+.f64 (fma.f64 (*.f64 a a) 1/81 1/729) (*.f64 a 1/243)) (+.f64 1/387420489 (fma.f64 1/531441 (pow.f64 a 6) (*.f64 (*.f64 (pow.f64 a 3) 1/729) 1/19683)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) 1/387420489 -1/7625597484987) (*.f64 (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)) (+.f64 1/387420489 (fma.f64 1/531441 (pow.f64 a 6) (*.f64 (pow.f64 a 3) 1/14348907)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 a 3) 3) 1/387420489 -1/7625597484987) (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729))) (+.f64 1/387420489 (fma.f64 1/531441 (pow.f64 a 6) (*.f64 (pow.f64 a 3) 1/14348907))))
(/.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) 1) (+.f64 -1/27 (*.f64 a -1/9)))
(-.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 a a) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) 1/81)))
(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9)))) (sqrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(-.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 a a) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) 1/81)))
(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (*.f64 (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))) (cbrt.f64 (+.f64 -1/27 (*.f64 a -1/9))))
(-.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 a a) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) 1/81)))
(/.f64 (fma.f64 a (*.f64 a -1/81) 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (fma.f64 (*.f64 a a) -1/81 1/729) (fma.f64 a -1/9 -1/27))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) 1) (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))
(*.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 (fma.f64 (*.f64 a a) 1/81 1/729) (*.f64 a 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(*.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 (fma.f64 (*.f64 a a) 1/81 1/729) (*.f64 a 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))
(/.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 1/729 (*.f64 1/243 a)))))
(*.f64 (+.f64 (*.f64 (pow.f64 a 3) 1/729) -1/19683) (/.f64 1 (+.f64 (fma.f64 (*.f64 a a) 1/81 1/729) (*.f64 a 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) 1/729 -1/19683) (fma.f64 a (*.f64 a 1/81) (fma.f64 a 1/243 1/729)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 a 1/9 -1/27))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))) (fma.f64 1/9 a -1/27)) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/9 a -1/27)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/9 a -1/27)))))
(/.f64 (-.f64 (*.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9)))) (*.f64 (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9))))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 (*.f64 a a) 1/81) (+.f64 -1/27 (*.f64 a -1/9)))))
(/.f64 (-.f64 (*.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9)))) (*.f64 (/.f64 (*.f64 a a) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) 1/81)) (/.f64 (*.f64 a a) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) 1/81)))) (+.f64 (/.f64 1/729 (+.f64 -1/27 (*.f64 a -1/9))) (/.f64 (*.f64 a a) (/.f64 (+.f64 -1/27 (*.f64 a -1/9)) 1/81))))
(/.f64 (-.f64 (/.f64 (/.f64 1/531441 (fma.f64 a -1/9 -1/27)) (fma.f64 a -1/9 -1/27)) (/.f64 (/.f64 (*.f64 1/6561 (pow.f64 a 4)) (fma.f64 a -1/9 -1/27)) (fma.f64 a -1/9 -1/27))) (+.f64 (/.f64 1/729 (fma.f64 a -1/9 -1/27)) (/.f64 (*.f64 a a) (/.f64 (fma.f64 a -1/9 -1/27) 1/81))))
(/.f64 (+.f64 (/.f64 1/531441 (*.f64 (fma.f64 a -1/9 -1/27) (fma.f64 a -1/9 -1/27))) (/.f64 (/.f64 (*.f64 (pow.f64 a 4) -1/6561) (fma.f64 a -1/9 -1/27)) (fma.f64 a -1/9 -1/27))) (+.f64 (/.f64 1/729 (fma.f64 a -1/9 -1/27)) (*.f64 (/.f64 (*.f64 a a) (fma.f64 a -1/9 -1/27)) 1/81)))
(pow.f64 (fma.f64 a 1/9 -1/27) 1)
(fma.f64 1/9 a -1/27)
(pow.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27)) 2)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 1/4) 4)
(fma.f64 1/9 a -1/27)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 1/9 -1/27))) 6)
(fma.f64 1/9 a -1/27)
(pow.f64 (cbrt.f64 (fma.f64 a 1/9 -1/27)) 3)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 2))
(fabs.f64 (fma.f64 1/9 a -1/27))
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3) 1/3)
(fma.f64 1/9 a -1/27)
(pow.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3/2) 2/3)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 3/2)))
(neg.f64 (/.f64 (+.f64 1/729 (*.f64 (*.f64 a a) -1/81)) (+.f64 1/27 (neg.f64 (*.f64 a -1/9)))))
(/.f64 (fma.f64 (*.f64 a a) 1/81 -1/729) (fma.f64 a 1/9 1/27))
(/.f64 (fma.f64 a (*.f64 a 1/81) -1/729) (fma.f64 1/9 a 1/27))
(neg.f64 (/.f64 (+.f64 -1/19683 (*.f64 (pow.f64 a 3) 1/729)) (+.f64 -1/729 (neg.f64 (+.f64 (*.f64 (*.f64 a a) 1/81) (*.f64 1/243 a))))))
(/.f64 (+.f64 1/19683 (*.f64 (pow.f64 a 3) -1/729)) (-.f64 -1/729 (fma.f64 (*.f64 a a) 1/81 (*.f64 a 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) -1/729 1/19683) (-.f64 -1/729 (*.f64 a (+.f64 (*.f64 a 1/81) 1/243))))
(/.f64 (fma.f64 (pow.f64 a 3) -1/729 1/19683) (+.f64 -1/729 (*.f64 a (+.f64 (*.f64 a -1/81) -1/243))))
(sqrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/9 a -1/27) 2))
(fabs.f64 (fma.f64 1/9 a -1/27))
(log.f64 (exp.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 1/9 -1/27))))
(fma.f64 1/9 a -1/27)
(cbrt.f64 (pow.f64 (fma.f64 a 1/9 -1/27) 3))
(fma.f64 1/9 a -1/27)
(expm1.f64 (log1p.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(exp.f64 (log.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(log1p.f64 (expm1.f64 (fma.f64 a 1/9 -1/27)))
(fma.f64 1/9 a -1/27)
(fma.f64 a 1/9 -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 1 (*.f64 a 1/9) -1/27)
(fma.f64 1/9 a -1/27)
(fma.f64 (*.f64 (sqrt.f64 a) 1/3) (*.f64 (sqrt.f64 a) 1/3) -1/27)
(+.f64 (pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2) -1/27)
(+.f64 -1/27 (pow.f64 (*.f64 (sqrt.f64 a) 1/3) 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 1/9)) 2) (cbrt.f64 (*.f64 a 1/9)) -1/27)
(fma.f64 1/9 a -1/27)

eval1.3s (10.2%)

Compiler

Compiled 27612 to 19420 computations (29.7% saved)

prune356.0ms (2.7%)

Pruning

24 alts after pruning (14 fresh and 10 done)

PrunedKeptTotal
New117691185
Fresh257
Picked011
Done1910
Total1179241203
Error
0b
Counts
1203 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
43.7b
(/.f64 (+.f64 (/.f64 (+.f64 a 1/3) a) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) a)) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (/.f64 (+.f64 a 1/3) a)))
50.3b
(/.f64 (+.f64 a (+.f64 1/3 (/.f64 (*.f64 (*.f64 a a) (-.f64 -1/3 a)) 1/9))) (*.f64 (+.f64 a 1/3) (/.f64 (-.f64 -1/3 a) 1/9)))
43.8b
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
19.9b
(/.f64 1 (/.f64 1 a))
0.2b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
19.8b
(-.f64 (+.f64 1 a) 1)
19.1b
(-.f64 a 1/3)
63.3b
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (+.f64 a (*.f64 -3 (*.f64 a a))) -1/3))
63.3b
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (*.f64 a (*.f64 a -3)) (+.f64 a -1/3)))
44.4b
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) -1/3)
43.8b
(+.f64 (*.f64 (/.f64 (/.f64 a (/.f64 1 a)) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a)) (/.f64 -1/9 (+.f64 a 1/3)))
61.9b
(+.f64 (*.f64 3 (*.f64 a a)) (/.f64 -1/9 (+.f64 a 1/3)))
43.8b
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
0.7b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
0.7b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
0.7b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))
51.0b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
44.1b
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
44.1b
(*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)
44.7b
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
60.4b
(sqrt.f64 (*.f64 (*.f64 (*.f64 a 1/9) rand) rand))
19.8b
a
63.0b
-1/3
Compiler

Compiled 309 to 234 computations (24.3% saved)

regimes135.0ms (1%)

Counts
37 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(-.f64 (+.f64 1 a) 1)
(/.f64 1 (/.f64 1 a))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) -1/3)
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(+.f64 (*.f64 3 (*.f64 a a)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (*.f64 a (*.f64 a -3)) (+.f64 a -1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (+.f64 a (*.f64 -3 (*.f64 a a))) -1/3))
(+.f64 (*.f64 (/.f64 (/.f64 a (/.f64 1 a)) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a)) (/.f64 -1/9 (+.f64 a 1/3)))
(/.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 (+.f64 1/3 (/.f64 (*.f64 (*.f64 a a) (-.f64 -1/3 a)) 1/9))) (*.f64 (+.f64 a 1/3) (/.f64 (-.f64 -1/3 a) 1/9)))
(/.f64 (+.f64 (/.f64 (+.f64 a 1/3) a) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) a)) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (/.f64 (+.f64 a 1/3) a)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(sqrt.f64 (*.f64 (*.f64 (*.f64 a 1/9) rand) 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))
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(/.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (/.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (+.f64 a -1/3)))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
Outputs
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
Calls

4 calls:

68.0ms
rand
21.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
17.0ms
(-.f64 a (/.f64 1 3))
17.0ms
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 495 to 352 computations (28.9% saved)

regimes90.0ms (0.7%)

Counts
36 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(-.f64 (+.f64 1 a) 1)
(/.f64 1 (/.f64 1 a))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) -1/3)
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(+.f64 (*.f64 3 (*.f64 a a)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (*.f64 a (*.f64 a -3)) (+.f64 a -1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (+.f64 a (*.f64 -3 (*.f64 a a))) -1/3))
(+.f64 (*.f64 (/.f64 (/.f64 a (/.f64 1 a)) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a)) (/.f64 -1/9 (+.f64 a 1/3)))
(/.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 (+.f64 1/3 (/.f64 (*.f64 (*.f64 a a) (-.f64 -1/3 a)) 1/9))) (*.f64 (+.f64 a 1/3) (/.f64 (-.f64 -1/3 a) 1/9)))
(/.f64 (+.f64 (/.f64 (+.f64 a 1/3) a) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) a)) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (/.f64 (+.f64 a 1/3) a)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(sqrt.f64 (*.f64 (*.f64 (*.f64 a 1/9) rand) 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))
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(+.f64 (+.f64 a -1/3) (/.f64 (/.f64 (+.f64 a -1/3) (/.f64 3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(/.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (/.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 (+.f64 a -1/3))) rand)) (+.f64 a -1/3)))
Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
Calls

4 calls:

22.0ms
a
21.0ms
rand
18.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
18.0ms
(-.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 482 to 342 computations (29% saved)

regimes79.0ms (0.6%)

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

2 calls:

54.0ms
a
16.0ms
rand
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
Compiler

Compiled 347 to 234 computations (32.6% saved)

regimes45.0ms (0.3%)

Counts
29 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(-.f64 (+.f64 1 a) 1)
(/.f64 1 (/.f64 1 a))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) -1/3)
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(+.f64 (*.f64 3 (*.f64 a a)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (*.f64 a (*.f64 a -3)) (+.f64 a -1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (+.f64 a (*.f64 -3 (*.f64 a a))) -1/3))
(+.f64 (*.f64 (/.f64 (/.f64 a (/.f64 1 a)) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a)) (/.f64 -1/9 (+.f64 a 1/3)))
(/.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 (+.f64 1/3 (/.f64 (*.f64 (*.f64 a a) (-.f64 -1/3 a)) 1/9))) (*.f64 (+.f64 a 1/3) (/.f64 (-.f64 -1/3 a) 1/9)))
(/.f64 (+.f64 (/.f64 (+.f64 a 1/3) a) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) a)) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (/.f64 (+.f64 a 1/3) a)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(sqrt.f64 (*.f64 (*.f64 (*.f64 a 1/9) rand) 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))
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
Outputs
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
Calls

2 calls:

20.0ms
rand
14.0ms
a
Results
ErrorSegmentsBranch
0.2b1a
0.2b1rand
Compiler

Compiled 333 to 223 computations (33% saved)

regimes34.0ms (0.3%)

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

2 calls:

13.0ms
a
13.0ms
rand
Results
ErrorSegmentsBranch
0.7b1a
0.7b1rand
Compiler

Compiled 307 to 203 computations (33.9% saved)

regimes42.0ms (0.3%)

Counts
26 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(-.f64 (+.f64 1 a) 1)
(/.f64 1 (/.f64 1 a))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) -1/3)
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(+.f64 (*.f64 3 (*.f64 a a)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (*.f64 a (*.f64 a -3)) (+.f64 a -1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (+.f64 a (*.f64 -3 (*.f64 a a))) -1/3))
(+.f64 (*.f64 (/.f64 (/.f64 a (/.f64 1 a)) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a)) (/.f64 -1/9 (+.f64 a 1/3)))
(/.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 (+.f64 1/3 (/.f64 (*.f64 (*.f64 a a) (-.f64 -1/3 a)) 1/9))) (*.f64 (+.f64 a 1/3) (/.f64 (-.f64 -1/3 a) 1/9)))
(/.f64 (+.f64 (/.f64 (+.f64 a 1/3) a) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) a)) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (/.f64 (+.f64 a 1/3) a)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(sqrt.f64 (*.f64 (*.f64 (*.f64 a 1/9) rand) 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))
(sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) 1/3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
Calls

2 calls:

13.0ms
rand
13.0ms
a
Results
ErrorSegmentsBranch
0.7b1a
0.7b1rand
Compiler

Compiled 295 to 194 computations (34.2% saved)

regimes31.0ms (0.2%)

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

2 calls:

12.0ms
rand
12.0ms
a
Results
ErrorSegmentsBranch
0.7b1a
0.7b1rand
Compiler

Compiled 283 to 186 computations (34.3% saved)

regimes83.0ms (0.6%)

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

48.0ms
a
28.0ms
rand
Results
ErrorSegmentsBranch
16.3b5a
2.6b3rand
Compiler

Compiled 259 to 171 computations (34% saved)

bsearch50.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
1.71183384262068e+58
5.510320084880268e+71
24.0ms
-2.532902059291076e+105
-1.7744237336056519e+90
Results
45.0ms320×body256valid
Compiler

Compiled 367 to 303 computations (17.4% saved)

regimes131.0ms (1%)

Counts
18 → 3
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(-.f64 (+.f64 1 a) 1)
(/.f64 1 (/.f64 1 a))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) -1/3)
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(+.f64 (*.f64 3 (*.f64 a a)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (*.f64 a (*.f64 a -3)) (+.f64 a -1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (+.f64 a (*.f64 -3 (*.f64 a a))) -1/3))
(+.f64 (*.f64 (/.f64 (/.f64 a (/.f64 1 a)) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a)) (/.f64 -1/9 (+.f64 a 1/3)))
(/.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 (+.f64 1/3 (/.f64 (*.f64 (*.f64 a a) (-.f64 -1/3 a)) 1/9))) (*.f64 (+.f64 a 1/3) (/.f64 (-.f64 -1/3 a) 1/9)))
(/.f64 (+.f64 (/.f64 (+.f64 a 1/3) a) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) a)) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (/.f64 (+.f64 a 1/3) a)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(sqrt.f64 (*.f64 (*.f64 (*.f64 a 1/9) rand) 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:

84.0ms
rand
42.0ms
a
Results
ErrorSegmentsBranch
16.4b5a
2.6b3rand
Compiler

Compiled 213 to 138 computations (35.2% saved)

bsearch49.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
1.71183384262068e+58
5.510320084880268e+71
25.0ms
-2.532902059291076e+105
-1.7744237336056519e+90
Results
45.0ms320×body256valid
Compiler

Compiled 367 to 303 computations (17.4% saved)

regimes108.0ms (0.8%)

Counts
17 → 3
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(-.f64 (+.f64 1 a) 1)
(/.f64 1 (/.f64 1 a))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) -1/3)
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(+.f64 (*.f64 3 (*.f64 a a)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (*.f64 a (*.f64 a -3)) (+.f64 a -1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (+.f64 a (*.f64 -3 (*.f64 a a))) -1/3))
(+.f64 (*.f64 (/.f64 (/.f64 a (/.f64 1 a)) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a)) (/.f64 -1/9 (+.f64 a 1/3)))
(/.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 (+.f64 1/3 (/.f64 (*.f64 (*.f64 a a) (-.f64 -1/3 a)) 1/9))) (*.f64 (+.f64 a 1/3) (/.f64 (-.f64 -1/3 a) 1/9)))
(/.f64 (+.f64 (/.f64 (+.f64 a 1/3) a) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) a)) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (/.f64 (+.f64 a 1/3) a)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(sqrt.f64 (*.f64 (*.f64 (*.f64 a 1/9) rand) 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:

79.0ms
a
23.0ms
rand
Results
ErrorSegmentsBranch
16.4b5a
3.2b3rand
Compiler

Compiled 205 to 132 computations (35.6% saved)

bsearch49.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
1.71183384262068e+58
5.510320084880268e+71
24.0ms
-2.532902059291076e+105
-1.7744237336056519e+90
Results
45.0ms320×body256valid
Compiler

Compiled 327 to 263 computations (19.6% saved)

regimes22.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(-.f64 (+.f64 1 a) 1)
(/.f64 1 (/.f64 1 a))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) -1/3)
(*.f64 (/.f64 1 (-.f64 -1/3 a)) (-.f64 1/9 (*.f64 a a)))
(+.f64 (*.f64 3 (*.f64 a a)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 -1/9 (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (*.f64 a (*.f64 a -3)) (+.f64 a -1/3)))
(+.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (+.f64 (+.f64 a (*.f64 -3 (*.f64 a a))) -1/3))
(+.f64 (*.f64 (/.f64 (/.f64 a (/.f64 1 a)) (-.f64 1/9 (*.f64 a a))) (-.f64 1/3 a)) (/.f64 -1/9 (+.f64 a 1/3)))
(/.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 (+.f64 1/3 (/.f64 (*.f64 (*.f64 a a) (-.f64 -1/3 a)) 1/9))) (*.f64 (+.f64 a 1/3) (/.f64 (-.f64 -1/3 a) 1/9)))
(/.f64 (+.f64 (/.f64 (+.f64 a 1/3) a) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) a)) (*.f64 (/.f64 (-.f64 -1/3 a) 1/9) (/.f64 (+.f64 a 1/3) a)))
Outputs
(-.f64 a 1/3)
Calls

2 calls:

9.0ms
a
8.0ms
rand
Results
ErrorSegmentsBranch
19.1b1a
19.1b1rand
Compiler

Compiled 191 to 123 computations (35.6% saved)

regimes7.0ms (0.1%)

Accuracy

Total -43.6b remaining (-219.9%)

Threshold costs -43.6b (-219.9%)

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

2 calls:

3.0ms
a
3.0ms
rand
Results
ErrorSegmentsBranch
19.8b1a
19.8b1rand
Compiler

Compiled 10 to 7 computations (30% saved)

simplify13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
078427
1124427
2125427
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 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(*.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 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand -15499999999999999876277489600048540598949024602025692841541349158430932828519167165187751936) (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand) (if (<=.f64 rand 8599999999999999857522582448206992905788506347805497008087046245318656) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)))
(if (<=.f64 rand -11499999999999999861982424402881565013197955689163808892620482916342241131214620732303010168832) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 3400000000000000300483680055765804605599110666051231885358211792896) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -3199999999999999983211730406137757834105427534421829619902134231421065873225851044378968064) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 6599999999999999712459709685148522653471757528512453097050625934360576) (-.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 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 -1/3 a)))))
(*.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 (+.f64 -3 (*.f64 a 9))))))
(-.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 a -1/3) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand -15499999999999999876277489600048540598949024602025692841541349158430932828519167165187751936) (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand) (if (<=.f64 rand 8599999999999999857522582448206992905788506347805497008087046245318656) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9))) rand)))
(if (or (<=.f64 rand -15499999999999999876277489600048540598949024602025692841541349158430932828519167165187751936) (not (<=.f64 rand 8599999999999999857522582448206992905788506347805497008087046245318656))) (*.f64 rand (sqrt.f64 (+.f64 -1/27 (*.f64 a 1/9)))) (+.f64 -1/3 a))
(if (<=.f64 rand -11499999999999999861982424402881565013197955689163808892620482916342241131214620732303010168832) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 3400000000000000300483680055765804605599110666051231885358211792896) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (or (<=.f64 rand -11499999999999999861982424402881565013197955689163808892620482916342241131214620732303010168832) (not (<=.f64 rand 3400000000000000300483680055765804605599110666051231885358211792896))) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (+.f64 -1/3 a))
(if (<=.f64 rand -3199999999999999983211730406137757834105427534421829619902134231421065873225851044378968064) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 6599999999999999712459709685148522653471757528512453097050625934360576) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))
(if (or (<=.f64 rand -3199999999999999983211730406137757834105427534421829619902134231421065873225851044378968064) (not (<=.f64 rand 6599999999999999712459709685148522653471757528512453097050625934360576))) (*.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 178 to 140 computations (21.3% saved)

soundness517.0ms (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)

end109.0ms (0.8%)

Compiler

Compiled 154 to 114 computations (26% saved)

Profiling

Loading profile data...