Details

Time bar (total: 1.4min)

analyze55.0ms (0.1%)

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

Compiled 23 to 20 computations (13% saved)

sample1.3s (1.6%)

Results
1.2s8256×body256valid
75.0ms608×body256infinite
69.0ms584×body256invalid
Bogosity

preprocess187.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
2198×fma-neg_binary64
692×fma-def_binary64
350×unsub-neg_binary64
301×sub-neg_binary64
270×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02248
15242
214238
340238
4101838
5191138
6288838
7421938
8539738
9601338
10615838
11616938
12617338
13635938
14641638
15641638
16641638
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(*.f64 (-.f64 rand (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 rand (/.f64 1 3))))) a)))
Outputs
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 rand 9) -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)

simplify111.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1035×fma-def_binary64
742×fma-neg_binary64
189×distribute-rgt-in_binary64
173×cancel-sign-sub-inv_binary64
157×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01524
13221
28219
320319
451019
596819
6146819
7241919
8361919
9410019
10425619
11429519
12429519
13484819
14484819
Stop Event
1×saturated
Counts
1 → 5
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 a 9) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))

eval2.0ms (0%)

Compiler

Compiled 78 to 63 computations (19.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New235
Fresh101
Picked000
Done000
Total336
Error
0.1b
Counts
6 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
▶0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
▶0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
Compiler

Compiled 49 to 40 computations (18.4% saved)

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
✓0.2b
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)
✓0.3b
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
✓0.6b
(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
Compiler

Compiled 67 to 54 computations (19.4% saved)

series7.4s (9%)

Counts
4 → 24
Calls

18 calls:

TimeVariablePointExpression
860.0ms
a
@0
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
842.0ms
a
@-inf
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
835.0ms
a
@inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
799.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
730.0ms
a
@inf
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
Compiler

Compiled 674926 to 556840 computations (17.5% saved)

rewrite77.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
771×prod-diff_binary64
637×log-prod_binary64
412×fma-def_binary64
235×expm1-udef_binary64
235×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01354
128651
2378043
Stop Event
1×node limit
Counts
4 → 193
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (+.f64 a -1/3) 9))
(/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
Outputs
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simplify92.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
518×associate-/r/_binary64
300×cancel-sign-sub-inv_binary64
277×associate-/l/_binary64
264×fma-neg_binary64
182×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04295128
110424666
237143726
Stop Event
1×node limit
Counts
217 → 265
Calls
Call 1
Inputs
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
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(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
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(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
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(-.f64 a 1/3)
(-.f64 (+.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (-.f64 a 1/3)))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))))) a) 1/3)
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(-.f64 (+.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (-.f64 a 1/3)))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))))) a) 1/3)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(-.f64 (+.f64 a (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))) 1/3)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(-.f64 (+.f64 a (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))) 1/3)
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(/.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 rand)))
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(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) -1)
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(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
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(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (exp.f64 (+.f64 a -1/3))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (+.f64 a -1/3))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (+.f64 a -1/3))) 1))
(fma.f64 a 1 (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
(fma.f64 a (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (*.f64 -1/3 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))
(fma.f64 -1/3 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (*.f64 a (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))
(fma.f64 (+.f64 a -1/3) 1 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(fma.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(fma.f64 1 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
(fma.f64 1 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(fma.f64 1 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 rand (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3) (+.f64 a -1/3))
(fma.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) a (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) -1/3))
(fma.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) -1/3 (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) a))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)) rand (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
Outputs
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 rand (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (-.f64 a 1/3)))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))))) a) 1/3)
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(-.f64 (+.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (-.f64 a 1/3)))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))))) a) 1/3)
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(-.f64 (+.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (-.f64 a 1/3)))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))))) a) 1/3)
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))
(-.f64 (+.f64 a (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))) 1/3)
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(-.f64 (+.f64 a (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))) 1/3)
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(-.f64 (+.f64 a (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))) 1/3)
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))
(-.f64 (+.f64 a (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))) 1/3)
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(-.f64 (+.f64 a (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))) 1/3)
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(-.f64 (+.f64 a (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 (-.f64 a 1/3))))) 1/3)
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
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(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(+.f64 -1/3 (+.f64 a (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
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(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
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(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
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(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
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(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
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(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
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(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
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(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(+.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) a) (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) -1/3))
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(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(+.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) -1/3) (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) a))
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(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))
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(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))) 1)
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(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1)) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)))) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)))) (+.f64 -1/27 (pow.f64 a 3)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))) (*.f64 (+.f64 a 1/3) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (/.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1) (fma.f64 a a -1/9))) (+.f64 a 1/3))
(*.f64 (/.f64 (fma.f64 a a -1/9) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1) (+.f64 a 1/3))) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (/.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(*.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(/.f64 (/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (/.f64 (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (+.f64 a 1/3)))
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(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))) (-.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))) (+.f64 a -1/3)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) 3)) (fma.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) (-.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) 3)) (fma.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1)) (pow.f64 (+.f64 a -1/3) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))) (-.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))) (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))) (-.f64 (+.f64 a -1/3) (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3)))))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (/.f64 (*.f64 rand (/.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) rand) (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a (-.f64 -1/3 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (/.f64 (*.f64 (*.f64 rand rand) (pow.f64 (+.f64 a -1/3) 2)) (fma.f64 a 9 -3))) (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (/.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) (+.f64 a 1/3))
(/.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (+.f64 a -1/3)) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (/.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1) (+.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1)) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (+.f64 a -1/3) (/.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))))
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (/.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1) (+.f64 a -1/3)))
(*.f64 (/.f64 (+.f64 a -1/3) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1) 1)) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)))
(/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (+.f64 a -1/3) (/.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))))
(*.f64 (/.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (-.f64 1 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (/.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 1)
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 3) 1/3)
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 3)
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 2)
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 2))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (exp.f64 (+.f64 a -1/3))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 3)))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (+.f64 a -1/3))) 1))
(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (exp.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(fma.f64 a 1 (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 a (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (*.f64 -1/3 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 -1/3 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) (*.f64 a (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (+.f64 a -1/3) 1 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 1 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 1 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 1 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 rand (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) a (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) -1/3 (*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) a))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 1))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(+.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(+.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(+.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 1))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 a -1/3))))
(+.f64 (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)) rand (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 rand (fma.f64 a 9 -3)) rand)) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 1))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (fma.f64 rand (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 (+.f64 a -1/3)))) (/.f64 1/3 (sqrt.f64 (*.f64 9 (+.f64 a -1/3))))) a) -1/3)
(+.f64 (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 a 9 -3)))) a) -1/3)
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 a 9) -3)
✓0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
✓0.2b
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))
✓0.6b
(sqrt.f64 (+.f64 (*.f64 a 9) -3))
Compiler

Compiled 57 to 44 computations (22.8% saved)

series6.2s (7.5%)

Counts
4 → 36
Calls

18 calls:

TimeVariablePointExpression
1.1s
a
@0
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
989.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
901.0ms
a
@inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
834.0ms
a
@inf
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))
763.0ms
a
@-inf
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))
Compiler

Compiled 496070 to 405621 computations (18.2% saved)

rewrite96.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
698×prod-diff_binary64
674×log-prod_binary64
429×fma-def_binary64
264×expm1-udef_binary64
264×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01441
131540
2423040
Stop Event
1×node limit
Counts
4 → 208
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 a 9) -3))
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
(+.f64 (*.f64 a 9) -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 729 (pow.f64 a 3) -27)) (hypot.f64 (*.f64 a 9) (sqrt.f64 (-.f64 9 (*.f64 a -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (*.f64 a a) 81 -9)) (sqrt.f64 (fma.f64 a 9 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 a a) 81) (fma.f64 a 9 3)) (/.f64 9 (fma.f64 a 9 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a 9 -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a 9 -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 729 (pow.f64 a 3) -27) (/.f64 1 (-.f64 (fma.f64 (*.f64 a a) 81 9) (*.f64 a -27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 a a) 81 -9) (/.f64 1 (fma.f64 a 9 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 a a) 81 9) (*.f64 a -27)) (fma.f64 729 (pow.f64 a 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a 9 3) (fma.f64 (*.f64 a a) 81 -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 729 (pow.f64 a 3) -27) (-.f64 (fma.f64 (*.f64 a a) 81 9) (*.f64 a -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 729 (pow.f64 a 3) -27) (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 a a) 81 -9) (fma.f64 a 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 729 (pow.f64 a 3) -27)) (neg.f64 (-.f64 (fma.f64 (*.f64 a a) 81 9) (*.f64 a -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (*.f64 a a) 81 -9)) (neg.f64 (fma.f64 a 9 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (*.f64 (*.f64 a a) 81)) (-.f64 -3 (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 9 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 a -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 9) 1 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a 9)) (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) (cbrt.f64 (*.f64 a 9)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 a) 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (sqrt.f64 a)) (sqrt.f64 a) -3)))))

simplify114.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
568×cancel-sign-sub-inv_binary64
318×fma-neg_binary64
261×exp-prod_binary64
253×log-prod_binary64
228×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04804833
111694592
243324053
Stop Event
1×node limit
Counts
244 → 305
Calls
Call 1
Inputs
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 9 a) 3))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 9 a) 3))))) rand)) 1/3)
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 9 a) 3))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 9 a) 3))))) rand)) 1/3)
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 9 a) 3))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 9 a) 3))))) rand)) 1/3)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 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 0 (sqrt.f64 (fma.f64 a 9 -3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1)
(*.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 9 -3)))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)) (+.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 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))
(fma.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))) (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (sqrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 9 -3))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 a a) 81) (fma.f64 a 9 3)) (/.f64 9 (fma.f64 a 9 3)))
(*.f64 (fma.f64 a 9 -3) 1)
(*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 1 (fma.f64 a 9 -3))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (fma.f64 729 (pow.f64 a 3) -27) (/.f64 1 (-.f64 (fma.f64 (*.f64 a a) 81 9) (*.f64 a -27))))
(*.f64 (fma.f64 (*.f64 a a) 81 -9) (/.f64 1 (fma.f64 a 9 3)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (pow.f64 (fma.f64 a 9 -3) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 a a) 81 9) (*.f64 a -27)) (fma.f64 729 (pow.f64 a 3) -27)))
(/.f64 1 (/.f64 (fma.f64 a 9 3) (fma.f64 (*.f64 a a) 81 -9)))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (-.f64 (fma.f64 (*.f64 a a) 81 9) (*.f64 a -27)))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (+.f64 9 (-.f64 (*.f64 (*.f64 a a) 81) (*.f64 a -27))))
(/.f64 (fma.f64 (*.f64 a a) 81 -9) (fma.f64 a 9 3))
(/.f64 (neg.f64 (fma.f64 729 (pow.f64 a 3) -27)) (neg.f64 (-.f64 (fma.f64 (*.f64 a a) 81 9) (*.f64 a -27))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) 81 -9)) (neg.f64 (fma.f64 a 9 3)))
(/.f64 (-.f64 9 (*.f64 (*.f64 a a) 81)) (-.f64 -3 (*.f64 a 9)))
(pow.f64 (fma.f64 a 9 -3) 1)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3)
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))
(log.f64 (exp.f64 (fma.f64 a 9 -3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 9 -3))))
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3))
(expm1.f64 (log1p.f64 (fma.f64 a 9 -3)))
(log1p.f64 (expm1.f64 (fma.f64 a 9 -3)))
(exp.f64 (log.f64 (fma.f64 a 9 -3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1))
(fma.f64 a 9 -3)
(fma.f64 9 a -3)
(fma.f64 (*.f64 a 9) 1 -3)
(fma.f64 1 (*.f64 a 9) -3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3)
(fma.f64 (cbrt.f64 (*.f64 a 9)) (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) -3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) (cbrt.f64 (*.f64 a 9)) -3)
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 9) -3)
(fma.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 a) 3) -3)
(fma.f64 (*.f64 9 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) -3)
(fma.f64 (*.f64 9 (sqrt.f64 a)) (sqrt.f64 a) -3)
Outputs
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 9 a) 3))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 9 a) 3))))) rand)) 1/3)
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 9 a) 3))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 9 a) 3))))) rand)) 1/3)
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 9 a) 3))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 9 a) 3))))) rand)) 1/3)
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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 0 (sqrt.f64 (fma.f64 a 9 -3)))
(sqrt.f64 (fma.f64 9 a -3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))) 2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1)
(sqrt.f64 (fma.f64 9 a -3))
(*.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)
(sqrt.f64 (fma.f64 9 a -3))
(*.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))
(sqrt.f64 (fma.f64 9 a -3))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))
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(log.f64 (exp.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 9 -3))))
(fma.f64 9 a -3)
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3))
(fma.f64 9 a -3)
(expm1.f64 (log1p.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(log1p.f64 (expm1.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(exp.f64 (log.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(fma.f64 9 a -3)
(fma.f64 9 a -3)
(fma.f64 (*.f64 a 9) 1 -3)
(fma.f64 9 a -3)
(fma.f64 1 (*.f64 a 9) -3)
(fma.f64 9 a -3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3)
(fma.f64 9 a -3)
(fma.f64 (cbrt.f64 (*.f64 a 9)) (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) -3)
(fma.f64 9 a -3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) (cbrt.f64 (*.f64 a 9)) -3)
(fma.f64 9 a -3)
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 9) -3)
(fma.f64 9 a -3)
(fma.f64 (*.f64 (sqrt.f64 a) 3) (*.f64 (sqrt.f64 a) 3) -3)
(fma.f64 9 a -3)
(fma.f64 (*.f64 9 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) -3)
(fma.f64 9 a -3)
(fma.f64 (*.f64 9 (sqrt.f64 a)) (sqrt.f64 a) -3)
(fma.f64 9 a -3)

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 a 9 -3)
✓0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
✓0.2b
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
✓0.6b
(sqrt.f64 (fma.f64 a 9 -3))
Compiler

Compiled 49 to 37 computations (24.5% saved)

series5.6s (6.9%)

Counts
4 → 36
Calls

18 calls:

TimeVariablePointExpression
1.1s
a
@-inf
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
862.0ms
a
@0
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
844.0ms
a
@inf
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
676.0ms
a
@-inf
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
594.0ms
a
@inf
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
Compiler

Compiled 496070 to 405621 computations (18.2% saved)

rewrite118.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
588×log-prod_binary64
492×prod-diff_binary64
350×fma-def_binary64
240×pow1/3_binary64
237×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01341
128740
2374740
Stop Event
1×node limit
Counts
4 → 196
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 a 9 -3))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(fma.f64 a 9 -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 2) (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (/.f64 1 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) a) (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 a 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a 9 -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a 9) 1) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))) (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a 9 -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a 9 -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 3) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a 9) 3) -27) (fma.f64 (*.f64 a 9) (*.f64 a 9) (-.f64 9 (*.f64 (*.f64 a 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 a 9) (*.f64 a 9) -9) (fma.f64 a 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1))))))

simplify142.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
500×cancel-sign-sub-inv_binary64
265×fma-neg_binary64
243×log-prod_binary64
238×exp-prod_binary64
224×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04474754
110924543
242274046
Stop Event
1×node limit
Counts
232 → 299
Calls
Call 1
Inputs
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 9 a) 3))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 9 a) 3))))) rand)) 1/3)
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 9 a) 3))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 9 a) 3))))) rand)) 1/3)
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (-.f64 (*.f64 9 a) 3))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 9 a) 3))))) rand)) 1/3)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 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 0 (sqrt.f64 (fma.f64 a 9 -3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1)
(*.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 a 9 -3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1/2))
(pow.f64 (fma.f64 a 9 -3) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) 3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 a 9 -3)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 1))
(+.f64 0 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))
(-.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 1)
(*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)
(*.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (neg.f64 rand) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (/.f64 1 (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) 1/4)))
(pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 1)
(pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3)
(pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 2)
(pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) 1) -1)
(neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(sqrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))
(log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))
(expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1))
(fma.f64 1 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) -1)
(fma.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 2) (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (/.f64 1 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) -1) 1)) -1)
(fma.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) -1)
(+.f64 a (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(+.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))
(+.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) a) (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) -1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))
(-.f64 a (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) -1) 1)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))) (*.f64 (+.f64 a 1/3) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) -1) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) -1) 1) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (fma.f64 a a -1/9)) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) -1) 1) (+.f64 a 1/3)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a 1/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (*.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))) (-.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (fma.f64 a a (fma.f64 a 1/3 1/9)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (+.f64 a 1/3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (+.f64 a -1/3)) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) -1) 1))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))) (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) -1) 1))
(/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (fma.f64 a 1/3 1/9)))
(/.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 2)
(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 3) (pow.f64 (+.f64 a -1/3) 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (exp.f64 (+.f64 a -1/3))))
(log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -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 a 9 -3) -1/2) 1))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (+.f64 a -1/3))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (+.f64 a -1/3))) 1))
(fma.f64 a 1 (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))
(fma.f64 a 1 (neg.f64 (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))))
(fma.f64 a (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))
(fma.f64 rand (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3) (+.f64 a -1/3))
(fma.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 1 a (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))
(fma.f64 1 a (neg.f64 (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) a (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) -1/3))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))) (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (sqrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2))) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(+.f64 -3 (*.f64 a 9))
(+.f64 0 (fma.f64 a 9 -3))
(+.f64 (*.f64 a 9) -3)
(+.f64 (*.f64 (*.f64 a 9) 1) -3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))) (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 9 -3))) 1)
(*.f64 (fma.f64 a 9 -3) 1)
(*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 1 (fma.f64 a 9 -3))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 3) (pow.f64 (fma.f64 a 9 -3) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(/.f64 (+.f64 (pow.f64 (*.f64 a 9) 3) -27) (fma.f64 (*.f64 a 9) (*.f64 a 9) (-.f64 9 (*.f64 (*.f64 a 9) -3))))
(/.f64 (fma.f64 (*.f64 a 9) (*.f64 a 9) -9) (fma.f64 a 9 3))
(pow.f64 (fma.f64 a 9 -3) 1)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3)
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))
(log.f64 (exp.f64 (fma.f64 a 9 -3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 9 -3))))
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3))
(expm1.f64 (log1p.f64 (fma.f64 a 9 -3)))
(log1p.f64 (expm1.f64 (fma.f64 a 9 -3)))
(exp.f64 (log.f64 (fma.f64 a 9 -3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1))
Outputs
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
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(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
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(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
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(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
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(/.f64 (-.f64 1 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))) (/.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(*.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 a 9 -3))) (+.f64 a -1/3)))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
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(fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
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(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)) 1))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))
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(fma.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3)))) (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (+.f64 a -1/3))
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(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (sqrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) (+.f64 a -1/3))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2))) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (*.f64 rand (/.f64 rand (fma.f64 9 a -3)))) (*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3))
(+.f64 a (-.f64 (*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 1/3 (sqrt.f64 (fma.f64 9 a -3))))) 1/3))
(+.f64 a (fma.f64 rand (+.f64 (/.f64 a (sqrt.f64 (fma.f64 9 a -3))) (/.f64 -1/3 (sqrt.f64 (fma.f64 9 a -3)))) -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(+.f64 -3 (*.f64 a 9))
(fma.f64 9 a -3)
(+.f64 0 (fma.f64 a 9 -3))
(fma.f64 9 a -3)
(+.f64 (*.f64 a 9) -3)
(fma.f64 9 a -3)
(+.f64 (*.f64 (*.f64 a 9) 1) -3)
(fma.f64 9 a -3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))) (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 9 a -3))) (cbrt.f64 (exp.f64 (fma.f64 9 a -3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 9 a -3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 9 a -3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 9 a -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 9 a -3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a 9 -3))) 1)
(fma.f64 9 a -3)
(*.f64 (fma.f64 a 9 -3) 1)
(fma.f64 9 a -3)
(*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(*.f64 1 (fma.f64 a 9 -3))
(fma.f64 9 a -3)
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))
(fma.f64 9 a -3)
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (fma.f64 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 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (fma.f64 a 9 -3))))
(fma.f64 9 a -3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 3) (pow.f64 (fma.f64 a 9 -3) 1/4))
(fma.f64 9 a -3)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (fma.f64 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 (pow.f64 (*.f64 a 9) 3) -27) (fma.f64 (*.f64 a 9) (*.f64 a 9) (-.f64 9 (*.f64 (*.f64 a 9) -3))))
(/.f64 (+.f64 (*.f64 (pow.f64 a 3) 729) -27) (fma.f64 (*.f64 9 a) (*.f64 9 a) (-.f64 9 (*.f64 a -27))))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 (+.f64 9 (*.f64 a 27)) (*.f64 (*.f64 a a) 81)))
(/.f64 (fma.f64 (pow.f64 a 3) 729 -27) (+.f64 (+.f64 (*.f64 (*.f64 a a) 81) 9) (*.f64 27 a)))
(/.f64 (fma.f64 (*.f64 a 9) (*.f64 a 9) -9) (fma.f64 a 9 3))
(/.f64 (fma.f64 (*.f64 9 a) (*.f64 9 a) -9) (fma.f64 a 9 3))
(/.f64 (+.f64 -9 (*.f64 (*.f64 a a) 81)) (fma.f64 9 a 3))
(pow.f64 (fma.f64 a 9 -3) 1)
(fma.f64 9 a -3)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)
(fma.f64 9 a -3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 2) 1/2)
(fma.f64 9 a -3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) 1/3)
(fma.f64 9 a -3)
(pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3)
(fma.f64 9 a -3)
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))
(fma.f64 9 a -3)
(log.f64 (exp.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 9 -3))))
(fma.f64 9 a -3)
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3))
(fma.f64 9 a -3)
(expm1.f64 (log1p.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(log1p.f64 (expm1.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(exp.f64 (log.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1))
(fma.f64 9 a -3)

eval479.0ms (0.6%)

Compiler

Compiled 19292 to 14982 computations (22.3% saved)

prune194.0ms (0.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New85613869
Fresh000
Picked101
Done202
Total85913872
Error
0b
Counts
872 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶9.6b
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
43.6b
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand))
50.2b
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
9.6b
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
▶19.7b
(-.f64 a 1/3)
▶43.6b
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
1.4b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
▶0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
0.3b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3)))))
18.0b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) rand)))
▶0.2b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) rand)))
43.6b
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))
Compiler

Compiled 398 to 316 computations (20.6% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

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

series6.6s (8.1%)

Counts
4 → 36
Calls

18 calls:

TimeVariablePointExpression
1.1s
a
@-inf
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))
991.0ms
a
@0
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
922.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
850.0ms
a
@inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
844.0ms
a
@inf
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))
Compiler

Compiled 514453 to 424007 computations (17.6% saved)

rewrite103.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
705×prod-diff_binary64
612×log-prod_binary64
363×fma-def_binary64
231×log-div_binary64
231×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01243
127342
2383142
Stop Event
1×node limit
Counts
4 → 218
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)))))
(+.f64 a -1/3)
(sqrt.f64 (+.f64 a -1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand 1/3)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(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 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (hypot.f64 a (sqrt.f64 (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)))) (#(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) 1/4) 2)))) (#(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 log1p.f64 (expm1.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))))))

simplify128.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
780×fma-neg_binary64
440×associate-*r*_binary64
437×associate-*l*_binary64
334×log-prod_binary64
329×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04755027
111534616
260614613
Stop Event
1×node limit
Counts
254 → 310
Calls
Call 1
Inputs
(*.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 rand (sqrt.f64 (-.f64 a 1/3))))
(*.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 rand (sqrt.f64 (-.f64 a 1/3))))
(*.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 rand (sqrt.f64 (-.f64 a 1/3))))
(*.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 rand (sqrt.f64 (-.f64 a 1/3))))
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 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 0 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))))
(-.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 1)
(*.f64 rand (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (/.f64 rand (*.f64 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 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 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (/.f64 rand (*.f64 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 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 rand) 3))
(*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 rand) 3))
(*.f64 (/.f64 rand 1) (/.f64 1/3 (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 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 rand (cbrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -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 rand (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)))
(*.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 (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)))
(pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(pow.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 3)
(pow.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 2)
(pow.f64 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 3 rand)) -1)
(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 3 (sqrt.f64 (+.f64 a -1/3)))))))
(cbrt.f64 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3))
(expm1.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(log1p.f64 (expm1.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(exp.f64 (log.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 1 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) -1)
(fma.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 2)) (cbrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (sqrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (/.f64 1 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1)) -1)
(fma.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (/.f64 1 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) -1)
(+.f64 a (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 -1/3 (+.f64 a (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(+.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))
(+.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(+.f64 (*.f64 a (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (*.f64 -1/3 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))
(+.f64 (*.f64 -1/3 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (*.f64 a (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))
(+.f64 (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) a) (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) -1/3))
(+.f64 (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) -1/3) (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (+.f64 a -1/3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (+.f64 a -1/3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (+.f64 a -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))) 1)
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (*.f64 (+.f64 a 1/3) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (fma.f64 a a -1/9)) (*.f64 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1) (+.f64 a 1/3)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a 1/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (-.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.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 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (+.f64 a 1/3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 a -1/3)) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1))
(/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) (fma.f64 a a -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 (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)
(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 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1))) 2)
(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 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (exp.f64 (+.f64 a -1/3))))
(log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))
(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))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (+.f64 a -1/3))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 rand 1/3) (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 a 1 (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(fma.f64 a (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) (*.f64 -1/3 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))
(fma.f64 -1/3 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) (*.f64 a (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))
(fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))
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(fma.f64 1 a (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))
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(fma.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) -1/3 (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) a))
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(fma.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 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.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 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(fma.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.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 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.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 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a -1/3))) 1)
(-.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 1/9 (+.f64 a 1/3)))
(*.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 (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 (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 (pow.f64 (+.f64 a -1/3) 1/4) (*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.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 (*.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 1 (/.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/9 (-.f64 (*.f64 a a) (*.f64 a -1/3))))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 a a -1/9) 1) (+.f64 a 1/3))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(pow.f64 (+.f64 a -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 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)))
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(exp.f64 (log.f64 (+.f64 a -1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1))
(fma.f64 a 1 -1/3)
(fma.f64 1 a -1/3)
(fma.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a a)) -1/3)
(fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(+.f64 0 (sqrt.f64 (+.f64 a -1/3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (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 (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 (pow.f64 (+.f64 a -1/3) 1/4) (pow.f64 (+.f64 a -1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (hypot.f64 a (sqrt.f64 (-.f64 1/9 (*.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) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(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))))
(log1p.f64 (expm1.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))
Outputs
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 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 a 1/3))))
(/.f64 (*.f64 1/3 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 a 1/3))))
(/.f64 (*.f64 1/3 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 a 1/3))))
(/.f64 (*.f64 1/3 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 a 1/3))))
(/.f64 (*.f64 1/3 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 a 1/3))))
(/.f64 (*.f64 1/3 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 a 1/3))))
(/.f64 (*.f64 1/3 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 a 1/3))))
(/.f64 (*.f64 1/3 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 a 1/3))))
(/.f64 (*.f64 1/3 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 a 1/3))))
(/.f64 (*.f64 1/3 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 a 1/3))))
(/.f64 (*.f64 1/3 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 a 1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
-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 0 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))) 2)
(-.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 rand (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 1/3 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 1/3 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 (cbrt.f64 (/.f64 rand (*.f64 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 1/3 rand) (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 (sqrt.f64 (+.f64 a -1/3)) rand))) (cbrt.f64 (*.f64 rand (/.f64 (*.f64 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 3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/3 rand) (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 (sqrt.f64 (+.f64 a -1/3)) rand))) (cbrt.f64 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.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 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 1/3 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 1/3 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 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 1/3 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 (*.f64 rand -1/3) 1) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 rand -1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))
(*.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 1/3 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 rand) 3))
(/.f64 (cbrt.f64 (*.f64 rand rand)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 (cbrt.f64 rand) 3)))
(*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 rand) 3))
(/.f64 (*.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 rand) 3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.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 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 (/.f64 rand (cbrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 1/3 (/.f64 rand (cbrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 rand (cbrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 1/3 (/.f64 rand (cbrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
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(*.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 rand (cbrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 1/3 (/.f64 rand (cbrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
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(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.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 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(pow.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 3)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(pow.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 2)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(pow.f64 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 3 rand)) -1)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(neg.f64 (/.f64 (*.f64 rand 1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 (*.f64 (*.f64 rand -1/3) 1) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.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)))
(sqrt.f64 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3))))
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(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (log.f64 (cbrt.f64 (exp.f64 rand))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(cbrt.f64 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(expm1.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(log1p.f64 (expm1.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(exp.f64 (log.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(fma.f64 1 (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)
(fma.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 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)
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 2)) -1)
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1) 2)) -1)
(fma.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 2)) (cbrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) -1)
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1) 2)) -1)
(fma.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1) 2)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (sqrt.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)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (/.f64 1 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3)) (/.f64 1 (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) (/.f64 1 (fma.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) -1) 1)) -1)
(fma.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (/.f64 1 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) -1)
(fma.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (/.f64 1 (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) -1)
(fma.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))) (/.f64 1 (+.f64 1 (/.f64 (*.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3))))) -1)
(+.f64 a (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(+.f64 -1/3 (+.f64 a (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(+.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
(+.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1))
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
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(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1))
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
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(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1))
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
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(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1))
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(+.f64 (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) -1/3) (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) a))
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1))
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1)) (+.f64 a -1/3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1)) (+.f64 a -1/3)))))
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(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (+.f64 a -1/3)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1)) (+.f64 a -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))) 1)
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1))
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1)))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3)) (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1)))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 1/3 a) 1/9)) (/.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) (fma.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) -1) 1)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (*.f64 (+.f64 a 1/3) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3)) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1) (+.f64 1/3 a)) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) (fma.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) -1) 1)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 1/3 a) 1/9)) (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))) (+.f64 1 (/.f64 (*.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))) (+.f64 1 (/.f64 (*.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3)) (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1)))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 1/3 a) 1/9)) (/.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) (fma.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) -1) 1)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.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 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 1/3 a) 1/9)) (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))) (+.f64 1 (/.f64 (*.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (fma.f64 a a -1/9)) (*.f64 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1) (+.f64 a 1/3)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3)) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1) (+.f64 1/3 a)) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) (fma.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) -1) 1)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a 1/3)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))) (+.f64 1 (/.f64 (*.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) (-.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)) (fma.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1)) (pow.f64 (+.f64 a -1/3) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))) (-.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a (-.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 (+.f64 a -1/3) 2) (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2))) (*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1)))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 1/3 a) 1/9)) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (+.f64 a 1/3))
(/.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1) (/.f64 (+.f64 1/3 a) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (+.f64 a -1/3)) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1))
(/.f64 (+.f64 a -1/3) (/.f64 (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1) (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) (fma.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) -1) 1)) (+.f64 a -1/3))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (+.f64 a -1/3) (/.f64 (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))) (+.f64 1 (/.f64 (*.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3))) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1))
(/.f64 (+.f64 a -1/3) (/.f64 (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1) (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))) 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) (fma.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) -1) 1)) (+.f64 a -1/3))
(/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (+.f64 a -1/3) (/.f64 (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) (+.f64 a -1/3)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))) (+.f64 1 (/.f64 (*.f64 rand -1/3) (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(/.f64 (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1)))
(*.f64 (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 1/3 a) 1/9)) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(/.f64 (*.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1) (/.f64 (+.f64 1/3 a) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) 1)
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1))
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -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)
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1))
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(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)
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1))
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(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)
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1))
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -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))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1)) 2))
(fabs.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1))
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(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)))))
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) -1/2) 1))
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))
(+.f64 a (-.f64 (/.f64 (*.f64 1/3 (*.f64 rand (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) 1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 a -1/3))) (sqrt.f64 (cbrt.f64 (+.f64 a -1/3))))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 1/3 a)))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (hypot.f64 a (sqrt.f64 (-.f64 1/9 (*.f64 a -1/3)))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (hypot.f64 a (sqrt.f64 (+.f64 1/9 (*.f64 1/3 a)))))
(pow.f64 (+.f64 a -1/3) 1/2)
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 1)
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (pow.f64 (+.f64 a -1/3) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) 3)
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 2)
(sqrt.f64 (+.f64 a -1/3))
(fabs.f64 (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (+.f64 a -1/3))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 a -1/3))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (+.f64 a -1/3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 a -1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 a -1/3))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (+.f64 a -1/3))
(exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1/2))
(sqrt.f64 (+.f64 a -1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 a -1/3))) 1))
(sqrt.f64 (+.f64 a -1/3))

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)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
1.0ms
a
@0
(-.f64 a 1/3)
1.0ms
a
@-inf
(-.f64 a 1/3)
1.0ms
a
@inf
(-.f64 a 1/3)
Compiler

Compiled 66 to 55 computations (16.7% saved)

rewrite34.0ms (0%)

Algorithm
1×batch-egg-rewrite
Rules
479×pow1_binary64
475×add-sqr-sqrt_binary64
452×add-log-exp_binary64
452×log1p-expm1-u_binary64
452×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1934
211654
Stop Event
1×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 (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 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.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 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(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 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))))) (#(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 (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 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.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 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(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 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(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 log1p.f64 (expm1.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 fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)))))

simplify43.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
637×fma-neg_binary64
401×fma-def_binary64
392×distribute-rgt-in_binary64
364×distribute-lft-in_binary64
298×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072268
1162228
2490228
32820223
47999223
Stop Event
1×node limit
Counts
33 → 35
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 (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 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.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 (fma.f64 a a -1/9) (/.f64 1 (+.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 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(/.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 (fma.f64 a a -1/9) (+.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 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))
(pow.f64 (+.f64 a -1/3) 1)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(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)))
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(exp.f64 (log.f64 (+.f64 a -1/3)))
(fma.f64 1 a -1/3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.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 (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 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(*.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 1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 -1/3 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 (-.f64 1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 -1/3 a) -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 (+.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 1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 -1/3 a) -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 (-.f64 1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 -1/3 a) -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 (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))
(/.f64 (-.f64 1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 -1/3 a) -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))
(pow.f64 (+.f64 a -1/3) 1)
(+.f64 -1/3 a)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(+.f64 -1/3 a)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(+.f64 -1/3 a)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(+.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)
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(exp.f64 (log.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(fma.f64 1 a -1/3)
(+.f64 -1/3 a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
(+.f64 -1/3 a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(+.f64 -1/3 a)

localize22.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 a -1/3)
✓0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
✓0.2b
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
✓0.4b
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
Compiler

Compiled 52 to 40 computations (23.1% saved)

series6.9s (8.4%)

Counts
3 → 24
Calls

15 calls:

TimeVariablePointExpression
1.0s
a
@inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
984.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
857.0ms
a
@0
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
743.0ms
a
@inf
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
699.0ms
a
@-inf
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
Compiler

Compiled 595027 to 497936 computations (16.3% saved)

rewrite102.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
733×prod-diff_binary64
576×log-prod_binary64
401×fma-def_binary64
221×expm1-udef_binary64
221×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
126540
2352040
Stop Event
1×node limit
Counts
3 → 161
Calls
Call 1
Inputs
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 rand)) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 rand) 1) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand -1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) 2) (cbrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (sqrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3)) (/.f64 1 (fma.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (/.f64 1 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) -1)))))
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simplify94.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
794×times-frac_binary64
382×cancel-sign-sub-inv_binary64
292×fma-neg_binary64
221×log-prod_binary64
205×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03634358
19603886
233793869
Stop Event
1×node limit
Counts
185 → 232
Calls
Call 1
Inputs
(*.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 rand (sqrt.f64 (-.f64 a 1/3))))
(*.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 rand (sqrt.f64 (-.f64 a 1/3))))
(*.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 rand (sqrt.f64 (-.f64 a 1/3))))
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(-.f64 a 1/3)
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(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))) 1))
(fma.f64 a 1 (+.f64 -1/3 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 a (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) (*.f64 -1/3 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))
(fma.f64 -1/3 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) (*.f64 a (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))
(fma.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(fma.f64 (+.f64 a -1/3) 1 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3) (+.f64 a -1/3))
(fma.f64 1 a (+.f64 -1/3 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 1 (+.f64 a -1/3) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 1 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) a (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) -1/3))
(fma.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) -1/3 (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) a))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.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 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.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 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 3) (pow.f64 (+.f64 a -1/3) 1/4) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 3) (pow.f64 (+.f64 a -1/3) 1/4) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) rand (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
Outputs
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)))
(/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3)))
(/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(+.f64 0 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) 1)
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 -1/3 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
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(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.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 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3)))) (*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand))) (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (-.f64 (/.f64 a 1/9) 3))) (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.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 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.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 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 1/3 a))))
(+.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 1/3 a))))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 1/3 a))))
(+.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 1/3 a))))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 1/3 a)) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3))) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(+.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 1/3 a)) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3))) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(+.f64 (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(fma.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 3) (pow.f64 (+.f64 a -1/3) 1/4) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) 1/4) 3) (pow.f64 (+.f64 a -1/3) 1/4) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (cbrt.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand (+.f64 a -1/3))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) rand (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 (*.f64 rand rand) (/.f64 1/9 (+.f64 a -1/3))))) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 1/9 (+.f64 a -1/3)) (*.f64 rand rand))) (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (*.f64 rand (/.f64 (*.f64 rand 1/9) (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (-.f64 (/.f64 a 1/9) 3))) (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 9 a -3)
✓0.2b
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
✓0.6b
(sqrt.f64 (fma.f64 9 a -3))
✓7.3b
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
Compiler

Compiled 37 to 27 computations (27% saved)

series5.4s (6.6%)

Counts
4 → 36
Calls

18 calls:

TimeVariablePointExpression
1.0s
a
@inf
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
836.0ms
a
@-inf
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
771.0ms
a
@0
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
596.0ms
a
@inf
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
550.0ms
a
@-inf
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
Compiler

Compiled 468368 to 378697 computations (19.1% saved)

rewrite66.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
541×log-prod_binary64
378×pow-prod-down_binary64
304×pow2_binary64
285×prod-diff_binary64
213×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
124638
2323338
Stop Event
1×node limit
Counts
4 → 176
Calls
Call 1
Inputs
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(sqrt.f64 (fma.f64 9 a -3))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
Outputs
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(log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) (-.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 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) a (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3) (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 (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 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.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 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (neg.f64 (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 (/.f64 (cbrt.f64 (*.f64 rand rand)) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))))) (#(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 1 (cbrt.f64 (fma.f64 9 a -3))) (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (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 (sqrt.f64 rand) (cbrt.f64 (fma.f64 9 a -3))) (/.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (cbrt.f64 (*.f64 rand rand)) (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 pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) 1/2)))) (#(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 pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 3)))) (#(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 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 9 a -3) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) 1) -1)))) (#(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 cbrt.f64 (/.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 9 a -3) 3/2)))))) (#(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 log1p.f64 (expm1.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 +.f64 -3 (*.f64 9 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 a) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 9 a -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 9 a -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 9 a -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 (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 (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 (pow.f64 (fma.f64 9 a -3) 1/4) (pow.f64 (fma.f64 9 a -3) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) 3/4) (pow.f64 (fma.f64 9 a -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) 5/6) (pow.f64 (fma.f64 9 a -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 9 a) 3) -27) (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 (*.f64 9 a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 9 a) 2) 9) (fma.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 (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 pow.f64 (pow.f64 (fma.f64 9 a -3) 3/2) 2/3)))) (#(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) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) 4)))) (#(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 log1p.f64 (expm1.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))))))

simplify80.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
241×log-prod_binary64
232×associate-*l*_binary64
231×associate-*r*_binary64
219×cancel-sign-sub-inv_binary64
214×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04083232
19943144
241463111
Stop Event
1×node limit
Counts
212 → 262
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 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 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3) (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))))
(+.f64 0 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3))))
(+.f64 (*.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))) 1) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3))))) 1)
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (*.f64 rand (+.f64 a -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) (+.f64 a 1/3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (neg.f64 (*.f64 rand (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (*.f64 (neg.f64 rand) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 9 a -3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a 1/3)))
(/.f64 (*.f64 (neg.f64 rand) (fma.f64 a a -1/9)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) rand) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (*.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand)))
(/.f64 (*.f64 (fma.f64 a a -1/9) 1) (*.f64 (+.f64 a 1/3) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (neg.f64 rand)) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (neg.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (neg.f64 rand)) (*.f64 (+.f64 a 1/3) (neg.f64 (sqrt.f64 (fma.f64 9 a -3)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))) 2) (pow.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3) 2)) (-.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) 1) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (cbrt.f64 (fma.f64 9 a -3))) (pow.f64 (fma.f64 9 a -3) 1/6))
(/.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (pow.f64 (fma.f64 9 a -3) 1/4)) (pow.f64 (fma.f64 9 a -3) 1/4))
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(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a 1/3))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 a a -1/9)) (+.f64 a 1/3))
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(pow.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2) (fma.f64 9 a -3)) 1/2)
(pow.f64 (pow.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))) 3)
(pow.f64 (sqrt.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))) 2)
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(expm1.f64 (log1p.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))))
(log1p.f64 (expm1.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))))
(exp.f64 (log.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))))
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(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))))
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3)))) 2) (cbrt.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3)))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3)) (sqrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3)) (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3)))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))
(fma.f64 (*.f64 a rand) (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))
(fma.f64 (*.f64 -1/3 rand) (pow.f64 (fma.f64 9 a -3) -1/2) (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))))
(fma.f64 (*.f64 a (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))
(fma.f64 (*.f64 a (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))
(fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))
(fma.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))))
(fma.f64 (*.f64 -1/3 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))) (log.f64 (sqrt.f64 (exp.f64 (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 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (fma.f64 9 a -3) 1/6))
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/6) (cbrt.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 (pow.f64 1 1/2) (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) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3/2) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3/2)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) 2)
(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))))
(log1p.f64 (expm1.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))
(+.f64 0 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))
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(-.f64 (exp.f64 (log1p.f64 (/.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 (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 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.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 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))
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(*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)
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(*.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/6)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (/.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) (pow.f64 (fma.f64 9 a -3) 1/6)))
(*.f64 (pow.f64 (fma.f64 9 a -3) -1/4) (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (pow.f64 (fma.f64 9 a -3) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 9 a -3) 1/4)))
(pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)
(pow.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) 1/2)
(pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 3)
(pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 2)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) -1)
(pow.f64 (/.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 9 a -3) 3/2)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) 1) -1)
(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))
(cbrt.f64 (/.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 9 a -3) 3/2)))
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(log1p.f64 (expm1.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))
(+.f64 -3 (*.f64 9 a))
(+.f64 (*.f64 9 a) -3)
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(+.f64 (*.f64 (*.f64 9 a) 1) -3)
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 9 a -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 9 a -3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9 a -3))) 1)
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(/.f64 (-.f64 (pow.f64 (*.f64 9 a) 2) 9) (fma.f64 9 a 3))
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(pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3/2) 2/3)
(pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 1/6) 6)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) 4)
(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)))
(log1p.f64 (expm1.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))
Outputs
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
-3
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 9 a)
(*.f64 a 9)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 9 a)
(*.f64 a 9)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(+.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3) (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(+.f64 0 (/.f64 rand (/.f64 (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 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(+.f64 (*.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 9 a -3))) 1) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) -1/3) 1))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3))))) 1)
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 rand (/.f64 (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 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)))) (+.f64 -1/27 (pow.f64 a 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(/.f64 (fma.f64 a a -1/9) (*.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3)) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (neg.f64 (*.f64 rand (+.f64 a -1/3))) (neg.f64 (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)))) (+.f64 -1/27 (pow.f64 a 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(/.f64 (*.f64 (neg.f64 rand) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 9 a -3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)))) (+.f64 -1/27 (pow.f64 a 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3)) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (neg.f64 rand) (fma.f64 a a -1/9)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a 1/3)))
(/.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3)) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) rand) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)))) (+.f64 -1/27 (pow.f64 a 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (*.f64 (+.f64 a 1/3) (sqrt.f64 (fma.f64 9 a -3))))
(/.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3)) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)))) (+.f64 -1/27 (pow.f64 a 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(/.f64 (*.f64 (fma.f64 a a -1/9) 1) (*.f64 (+.f64 a 1/3) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand)))
(/.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3)) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (neg.f64 rand)) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (neg.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(*.f64 (/.f64 rand (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3)))) (+.f64 -1/27 (pow.f64 a 3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (neg.f64 rand)) (*.f64 (+.f64 a 1/3) (neg.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3)) (sqrt.f64 (fma.f64 9 a -3)))
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(/.f64 (/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3)) (sqrt.f64 (fma.f64 9 a -3)))
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(/.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
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(/.f64 (/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9))) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (neg.f64 (sqrt.f64 (fma.f64 9 a -3))))
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(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
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(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
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(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
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(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
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(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
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(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
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(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))
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(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
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(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (fma.f64 9 a -3))))
(*.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (/.f64 (cbrt.f64 (*.f64 rand rand)) (cbrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (fma.f64 9 a -3))) (/.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/6)))
(/.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (pow.f64 (fma.f64 9 a -3) -1/4) (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (pow.f64 (fma.f64 9 a -3) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 9 a -3) 1/4)))
(*.f64 (cbrt.f64 (*.f64 rand rand)) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (cbrt.f64 (*.f64 rand rand)) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 a 9 -3))))
(pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)) 1/2)
(sqrt.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)))
(sqrt.f64 (*.f64 rand (/.f64 rand (fma.f64 a 9 -3))))
(fabs.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(pow.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3) 1/3)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 3)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 2)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) -1)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (/.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 9 a -3) 3/2)) 1/3)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) 1) -1)
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(sqrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))
(sqrt.f64 (/.f64 rand (/.f64 (fma.f64 9 a -3) rand)))
(sqrt.f64 (*.f64 rand (/.f64 rand (fma.f64 a 9 -3))))
(fabs.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(cbrt.f64 (/.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 9 a -3) 3/2)))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(exp.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1))
(/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(+.f64 -3 (*.f64 9 a))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(+.f64 (*.f64 9 a) -3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(+.f64 0 (fma.f64 9 a -3))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(+.f64 (*.f64 (*.f64 9 a) 1) -3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 9 a -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 9 a -3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 9 a -3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 9 a -3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 9 a -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 9 a -3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 9 a -3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9 a -3))) 1)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 (fma.f64 9 a -3) 1)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 (sqrt.f64 (fma.f64 9 a -3)) (sqrt.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 1 (fma.f64 9 a -3))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) (cbrt.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (pow.f64 (fma.f64 9 a -3) 3/4))
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 3/4))
(*.f64 (pow.f64 (fma.f64 9 a -3) 3/4) (pow.f64 (fma.f64 9 a -3) 1/4))
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (pow.f64 (fma.f64 9 a -3) 3/4))
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 3/4))
(*.f64 (pow.f64 (fma.f64 9 a -3) 5/6) (pow.f64 (fma.f64 9 a -3) 1/6))
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/6) (pow.f64 (fma.f64 9 a -3) 5/6))
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) (pow.f64 (fma.f64 a 9 -3) 5/6))
(/.f64 (+.f64 (pow.f64 (*.f64 9 a) 3) -27) (+.f64 (pow.f64 (*.f64 9 a) 2) (-.f64 9 (*.f64 (*.f64 9 a) -3))))
(/.f64 (+.f64 (*.f64 729 (pow.f64 a 3)) -27) (+.f64 (pow.f64 (*.f64 a 9) 2) (-.f64 9 (*.f64 9 (*.f64 a -3)))))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (+.f64 (*.f64 (*.f64 a a) 81) (-.f64 9 (*.f64 a -27))))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (+.f64 9 (+.f64 (*.f64 a 27) (*.f64 (*.f64 a a) 81))))
(/.f64 (-.f64 (pow.f64 (*.f64 9 a) 2) 9) (fma.f64 9 a 3))
(/.f64 (+.f64 (pow.f64 (*.f64 a 9) 2) -9) (fma.f64 9 a 3))
(/.f64 (+.f64 (*.f64 (*.f64 a a) 81) -9) (fma.f64 a 9 3))
(/.f64 (fma.f64 (*.f64 a a) 81 -9) (fma.f64 a 9 3))
(pow.f64 (fma.f64 9 a -3) 1)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 3/2) 2/3)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2)))
(pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 3)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 1/6) 6)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) 4)
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(log.f64 (exp.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 a -3))))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(expm1.f64 (log1p.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(log1p.f64 (expm1.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(exp.f64 (log.f64 (fma.f64 9 a -3)))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 rand (+.f64 a -1/3))
0.1b
(fma.f64 a 9 -3)
✓0.7b
(pow.f64 (fma.f64 a 9 -3) -1/2)
✓8.9b
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
Compiler

Compiled 41 to 30 computations (26.8% saved)

series1.5s (1.8%)

Counts
3 → 44
Calls

15 calls:

TimeVariablePointExpression
585.0ms
a
@-inf
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
359.0ms
a
@-inf
(pow.f64 (fma.f64 a 9 -3) -1/2)
330.0ms
a
@0
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
190.0ms
a
@0
(pow.f64 (fma.f64 a 9 -3) -1/2)
9.0ms
rand
@0
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
Compiler

Compiled 189832 to 168428 computations (11.3% saved)

rewrite59.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
521×log-prod_binary64
346×pow-prod-down_binary64
324×pow2_binary64
307×prod-diff_binary64
224×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
126636
2320136
Stop Event
1×node limit
Counts
3 → 110
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(*.f64 rand (+.f64 a -1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) 1) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) -1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))) 2) (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) 3) (pow.f64 (+.f64 a -1/3) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) 2) (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) 2) (pow.f64 (+.f64 a -1/3) 2)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (neg.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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(+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1)) (pow.f64 (fma.f64 a 9 -3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (pow.f64 (fma.f64 a 9 -3) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1) (pow.f64 (fma.f64 a 9 -3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 a 9 -3))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (fma.f64 a 9 -3))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a rand) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand -1/3) (*.f64 a rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 rand (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a rand) 1) (*.f64 (*.f64 rand -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a rand) 3) (pow.f64 (*.f64 rand -1/3) 3)) (+.f64 (pow.f64 (*.f64 a rand) 2) (-.f64 (pow.f64 (*.f64 rand -1/3) 2) (*.f64 (*.f64 a rand) (*.f64 rand -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a rand) 2) (pow.f64 (*.f64 rand -1/3) 2)) (-.f64 (*.f64 a rand) (*.f64 rand -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) rand) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 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 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 rand -1/3)) (exp.f64 (*.f64 a rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a rand (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand a (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand -1/3 (*.f64 a rand))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 rand (*.f64 a rand))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a rand) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 rand -1/3) (*.f64 a rand))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) a) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) -1/3) (*.f64 a rand))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) rand) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) a) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) -1/3) (*.f64 a rand))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) rand) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a rand) 1 (*.f64 (*.f64 rand -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a rand)) 2) (cbrt.f64 (*.f64 a rand)) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 rand -1/3)) 2) (cbrt.f64 (*.f64 rand -1/3)) (*.f64 a rand))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a rand)) (sqrt.f64 (*.f64 a rand)) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 rand -1/3)) (sqrt.f64 (*.f64 rand -1/3)) (*.f64 a rand))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 rand)) (sqrt.f64 rand) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (sqrt.f64 a)) (sqrt.f64 a) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) (*.f64 a rand))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (sqrt.f64 rand)) (sqrt.f64 rand) (*.f64 a rand))))))

simplify85.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
972×fma-neg_binary64
429×associate-+r+_binary64
225×cancel-sign-sub-inv_binary64
209×+-commutative_binary64
195×sqr-pow_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03472598
18962375
229002192
377662189
Stop Event
1×node limit
Counts
154 → 192
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a)
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) (*.f64 -1/3 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))) 1/3)
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 -1/18 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) (+.f64 (*.f64 -1/3 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)))))) 1/3)
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 -1/18 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) (+.f64 (*.f64 -1/3 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 (pow.f64 (/.f64 1 a) 2) (+.f64 (*.f64 -1/72 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (*.f64 5/432 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))) (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a))))))) 1/3)
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
(*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
(*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (/.f64 1 a) 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9))))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (*.f64 5/432 (*.f64 (pow.f64 (/.f64 1 a) 3) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (/.f64 1 a) 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 (-.f64 a 1/3) rand)
(*.f64 -1/3 rand)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 a rand)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 a rand)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))))
(+.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 0 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))
(+.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) 1) (+.f64 a -1/3))
(+.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) a) -1/3)
(+.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) -1/3) a)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))) 1)
(*.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)) 1)
(*.f64 1 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))) 2) (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) 3) (pow.f64 (+.f64 a -1/3) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) 2) (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) (+.f64 a -1/3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) 2) (pow.f64 (+.f64 a -1/3) 2)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (neg.f64 (+.f64 a -1/3))))
(pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)) 1)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))))
(log.f64 (*.f64 (exp.f64 (+.f64 a -1/3)) (exp.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))) 2))
(+.f64 0 (pow.f64 (fma.f64 a 9 -3) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 1)
(*.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) -1/6) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1)) (pow.f64 (fma.f64 a 9 -3) -1/6))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (pow.f64 (fma.f64 a 9 -3) -1/4))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1) (pow.f64 (fma.f64 a 9 -3) -1/6))
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1))
(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 (fma.f64 a 9 -3) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 a 9 -3))) -1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -1/6)) 3))
(exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (fma.f64 a 9 -3))) 2))
(+.f64 (*.f64 a rand) (*.f64 rand -1/3))
(+.f64 (*.f64 rand -1/3) (*.f64 a rand))
(+.f64 0 (*.f64 rand (+.f64 a -1/3)))
(+.f64 (*.f64 (*.f64 a rand) 1) (*.f64 (*.f64 rand -1/3) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (+.f64 a -1/3)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 a rand) 3) (pow.f64 (*.f64 rand -1/3) 3)) (+.f64 (pow.f64 (*.f64 a rand) 2) (-.f64 (pow.f64 (*.f64 rand -1/3) 2) (*.f64 (*.f64 a rand) (*.f64 rand -1/3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a rand) 2) (pow.f64 (*.f64 rand -1/3) 2)) (-.f64 (*.f64 a rand) (*.f64 rand -1/3)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) rand) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3))
(/.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))
(pow.f64 (*.f64 rand (+.f64 a -1/3)) 1)
(pow.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 3)
(pow.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) 2)
(sqrt.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2))
(log.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (+.f64 a -1/3)))))
(log.f64 (*.f64 (exp.f64 (*.f64 rand -1/3)) (exp.f64 (*.f64 a rand))))
(cbrt.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (+.f64 a -1/3))))
(log1p.f64 (expm1.f64 (*.f64 rand (+.f64 a -1/3))))
(exp.f64 (log.f64 (*.f64 rand (+.f64 a -1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (+.f64 a -1/3))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3)))) 2))
(fma.f64 a rand (*.f64 rand -1/3))
(fma.f64 rand a (*.f64 rand -1/3))
(fma.f64 rand -1/3 (*.f64 a rand))
(fma.f64 -1/3 rand (*.f64 a rand))
(fma.f64 1 (*.f64 a rand) (*.f64 rand -1/3))
(fma.f64 1 (*.f64 rand -1/3) (*.f64 a rand))
(fma.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) a) (*.f64 rand -1/3))
(fma.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) -1/3) (*.f64 a rand))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) rand) (*.f64 rand -1/3))
(fma.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) a) (*.f64 rand -1/3))
(fma.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) -1/3) (*.f64 a rand))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) rand) (*.f64 rand -1/3))
(fma.f64 (*.f64 a rand) 1 (*.f64 (*.f64 rand -1/3) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a rand)) 2) (cbrt.f64 (*.f64 a rand)) (*.f64 rand -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 rand -1/3)) 2) (cbrt.f64 (*.f64 rand -1/3)) (*.f64 a rand))
(fma.f64 (sqrt.f64 (*.f64 a rand)) (sqrt.f64 (*.f64 a rand)) (*.f64 rand -1/3))
(fma.f64 (sqrt.f64 (*.f64 rand -1/3)) (sqrt.f64 (*.f64 rand -1/3)) (*.f64 a rand))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) (*.f64 rand -1/3))
(fma.f64 (*.f64 a (sqrt.f64 rand)) (sqrt.f64 rand) (*.f64 rand -1/3))
(fma.f64 (*.f64 rand (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 rand -1/3))
(fma.f64 (*.f64 rand (sqrt.f64 a)) (sqrt.f64 a) (*.f64 rand -1/3))
(fma.f64 (*.f64 -1/3 (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) (*.f64 a rand))
(fma.f64 (*.f64 -1/3 (sqrt.f64 rand)) (sqrt.f64 rand) (*.f64 a rand))
Outputs
(*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a)
(*.f64 a (+.f64 1 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand)))
(*.f64 a (fma.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) rand 1))
(*.f64 a (fma.f64 (*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand 1))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a) (*.f64 -1/3 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))) 1/3)
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand) (fma.f64 (+.f64 1 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand)) a (*.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand) -1/3))) -1/3)
(+.f64 -1/3 (fma.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) rand) 1/6 (fma.f64 a (fma.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) rand 1) (*.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (*.f64 rand -1/3)))))
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand) -1/6) (fma.f64 a (fma.f64 (*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand 1) -1/3))
(+.f64 (*.f64 a (fma.f64 (*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand 1)) (fma.f64 (*.f64 (*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand) -1/6 -1/3))
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(fma.f64 (*.f64 (*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand) 1/6 (+.f64 (+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a -1/2) (/.f64 a (pow.f64 9 -1/2))) rand) -1/72) (*.f64 (*.f64 (*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand) (+.f64 -1/3 (*.f64 -1/432 (/.f64 1 (*.f64 a a)))))) (fma.f64 a (fma.f64 (*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) rand 1) -1/3)))
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
(*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)))
(*.f64 rand (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
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(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)))
(*.f64 rand (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
(+.f64 -1/3 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) a))
(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
(-.f64 (+.f64 a (*.f64 (pow.f64 (-.f64 (*.f64 9 a) 3) -1/2) (*.f64 (-.f64 a 1/3) rand))) 1/3)
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
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(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))
(*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2))
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(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))))
(fma.f64 1/6 (/.f64 (pow.f64 a -1/2) (/.f64 a (pow.f64 9 -1/2))) (*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)))
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(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 (/.f64 1 a) 2)) 1) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))))
(fma.f64 1/6 (/.f64 (pow.f64 a -1/2) (/.f64 a (pow.f64 9 -1/2))) (*.f64 (+.f64 1 (/.f64 (/.f64 1/24 a) a)) (*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (*.f64 5/432 (*.f64 (pow.f64 (/.f64 1 a) 3) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (/.f64 1 a) 2) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) a) (fma.f64 5/432 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 1 (pow.f64 a 3))) (fma.f64 1/24 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (pow.f64 (/.f64 1 a) 2)) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) a) (+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (*.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (+.f64 (/.f64 5/432 (pow.f64 a 3)) (*.f64 1/24 (pow.f64 (/.f64 1 a) 2))))))
(fma.f64 1/6 (/.f64 (pow.f64 a -1/2) (/.f64 a (pow.f64 9 -1/2))) (*.f64 (*.f64 (pow.f64 9 -1/2) (pow.f64 a -1/2)) (+.f64 (+.f64 1 (/.f64 (/.f64 1/24 a) a)) (/.f64 5/432 (pow.f64 a 3)))))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
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(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
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(*.f64 (-.f64 a 1/3) rand)
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(*.f64 (-.f64 a 1/3) rand)
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(*.f64 (-.f64 a 1/3) rand)
(*.f64 rand (+.f64 a -1/3))
(*.f64 (-.f64 a 1/3) rand)
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(*.f64 rand (+.f64 a -1/3))
(*.f64 -1/3 rand)
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(*.f64 rand (+.f64 a -1/3))
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(*.f64 rand (+.f64 a -1/3))
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(*.f64 rand (+.f64 a -1/3))
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(*.f64 rand (+.f64 a -1/3))
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(*.f64 rand (+.f64 a -1/3))
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
(+.f64 0 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
(+.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) 1) (+.f64 a -1/3))
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
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(/.f64 (+.f64 (pow.f64 (*.f64 rand (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))) 3) (pow.f64 (+.f64 a -1/3) 3)) (+.f64 (*.f64 (/.f64 1 (fma.f64 a 9 -3)) (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2)) (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (pow.f64 (+.f64 a -1/3) 2))))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) (pow.f64 rand 3)) 1) (pow.f64 (+.f64 a -1/3) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (pow.f64 (+.f64 a -1/3) 2))) (+.f64 -1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) 2) (pow.f64 (+.f64 a -1/3) 2)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (neg.f64 (+.f64 a -1/3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3))) 2) (pow.f64 (+.f64 a -1/3) 2)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 (neg.f64 a) 1/3)))
(/.f64 (-.f64 (*.f64 (/.f64 1 (fma.f64 a 9 -3)) (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2)) (pow.f64 (+.f64 a -1/3) 2)) (*.f64 (+.f64 a -1/3) (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) -1)))
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(pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)) 1)
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(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3)))) 2))
(+.f64 -1/3 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) a))
(*.f64 (+.f64 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2))))
(+.f64 0 (pow.f64 (fma.f64 a 9 -3) -1/2))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 1)
(pow.f64 (fma.f64 a 9 -3) -1/2)
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)
(pow.f64 (fma.f64 a 9 -3) -1/2)
(*.f64 1 (pow.f64 (fma.f64 a 9 -3) -1/2))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1)))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1)) (pow.f64 (fma.f64 a 9 -3) -1/6))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (pow.f64 (fma.f64 a 9 -3) -1/4))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1) (pow.f64 (fma.f64 a 9 -3) -1/6))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))))
(/.f64 (pow.f64 (fma.f64 a 9 -3) -1/6) (cbrt.f64 (fma.f64 a 9 -3)))
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -3/2))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 a 9 -3))) 1))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 a 9 -3))) -1/4))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -3/2)) 1/3))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -1/6)) 3))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (fma.f64 a 9 -3))) 2))
(pow.f64 (fma.f64 a 9 -3) -1/2)
(+.f64 (*.f64 a rand) (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 rand -1/3) (*.f64 a rand))
(*.f64 rand (+.f64 a -1/3))
(+.f64 0 (*.f64 rand (+.f64 a -1/3)))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (*.f64 (*.f64 a rand) 1) (*.f64 (*.f64 rand -1/3) 1))
(*.f64 rand (+.f64 a -1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) rand))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))
(*.f64 rand (+.f64 a -1/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (+.f64 a -1/3)))) 1)
(*.f64 rand (+.f64 a -1/3))
(/.f64 (+.f64 (pow.f64 (*.f64 a rand) 3) (pow.f64 (*.f64 rand -1/3) 3)) (+.f64 (pow.f64 (*.f64 a rand) 2) (-.f64 (pow.f64 (*.f64 rand -1/3) 2) (*.f64 (*.f64 a rand) (*.f64 rand -1/3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a rand) 3) (pow.f64 (*.f64 rand -1/3) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 a rand) 2) (pow.f64 (*.f64 rand -1/3) 2)) (*.f64 a (*.f64 rand (*.f64 rand -1/3)))))
(/.f64 (fma.f64 (pow.f64 rand 3) -1/27 (pow.f64 (*.f64 a rand) 3)) (+.f64 (pow.f64 (*.f64 a rand) 2) (*.f64 (*.f64 rand -1/3) (-.f64 (*.f64 rand -1/3) (*.f64 a rand)))))
(/.f64 (*.f64 (pow.f64 rand 3) (+.f64 -1/27 (pow.f64 a 3))) (+.f64 (pow.f64 (*.f64 a rand) 2) (*.f64 (*.f64 rand -1/3) (*.f64 rand (-.f64 -1/3 a)))))
(/.f64 (*.f64 (pow.f64 rand 3) (+.f64 -1/27 (pow.f64 a 3))) (fma.f64 (*.f64 rand rand) (fma.f64 a a 1/9) (*.f64 (*.f64 a rand) (*.f64 rand 1/3))))
(/.f64 (-.f64 (pow.f64 (*.f64 a rand) 2) (pow.f64 (*.f64 rand -1/3) 2)) (-.f64 (*.f64 a rand) (*.f64 rand -1/3)))
(/.f64 (-.f64 (pow.f64 (*.f64 a rand) 2) (pow.f64 (*.f64 rand -1/3) 2)) (fma.f64 a rand (neg.f64 (*.f64 rand -1/3))))
(/.f64 (-.f64 (pow.f64 (*.f64 a rand) 2) (*.f64 1/9 (*.f64 rand rand))) (*.f64 rand (-.f64 a -1/3)))
(/.f64 (*.f64 (*.f64 rand rand) (-.f64 (*.f64 a a) 1/9)) (*.f64 rand (+.f64 a 1/3)))
(/.f64 (*.f64 (*.f64 rand rand) (fma.f64 a a -1/9)) (*.f64 rand (+.f64 a 1/3)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) rand) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 rand (/.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (/.f64 rand (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))) (+.f64 -1/27 (pow.f64 a 3)))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3))
(/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(*.f64 (/.f64 rand (+.f64 a 1/3)) (fma.f64 a a -1/9))
(/.f64 (*.f64 rand (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 rand (/.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3))))
(*.f64 (/.f64 rand (+.f64 (fma.f64 a a 1/9) (*.f64 a 1/3))) (+.f64 -1/27 (pow.f64 a 3)))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(*.f64 (/.f64 rand (+.f64 a 1/3)) (fma.f64 a a -1/9))
(pow.f64 (*.f64 rand (+.f64 a -1/3)) 1)
(*.f64 rand (+.f64 a -1/3))
(pow.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2) 1/2)
(*.f64 rand (+.f64 a -1/3))
(pow.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3) 1/3)
(*.f64 rand (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3))) 3)
(*.f64 rand (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3))) 2)
(*.f64 rand (+.f64 a -1/3))
(sqrt.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 2))
(*.f64 rand (+.f64 a -1/3))
(log.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))
(*.f64 rand (+.f64 a -1/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (+.f64 a -1/3)))))
(*.f64 rand (+.f64 a -1/3))
(log.f64 (*.f64 (exp.f64 (*.f64 rand -1/3)) (exp.f64 (*.f64 a rand))))
(*.f64 rand (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3))
(*.f64 rand (+.f64 a -1/3))
(expm1.f64 (log1p.f64 (*.f64 rand (+.f64 a -1/3))))
(*.f64 rand (+.f64 a -1/3))
(log1p.f64 (expm1.f64 (*.f64 rand (+.f64 a -1/3))))
(*.f64 rand (+.f64 a -1/3))
(exp.f64 (log.f64 (*.f64 rand (+.f64 a -1/3))))
(*.f64 rand (+.f64 a -1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (+.f64 a -1/3))) 1))
(*.f64 rand (+.f64 a -1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 rand (+.f64 a -1/3)) 3)) 1/3))
(*.f64 rand (+.f64 a -1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 rand (+.f64 a -1/3)))) 3))
(*.f64 rand (+.f64 a -1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 rand (+.f64 a -1/3)))) 2))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 a rand (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 rand a (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 rand -1/3 (*.f64 a rand))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 -1/3 rand (*.f64 a rand))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 1 (*.f64 a rand) (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 1 (*.f64 rand -1/3) (*.f64 a rand))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) a) (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) -1/3) (*.f64 a rand))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) rand) (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) a) (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) -1/3) (*.f64 a rand))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) rand) (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (*.f64 a rand) 1 (*.f64 (*.f64 rand -1/3) 1))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a rand)) 2) (cbrt.f64 (*.f64 a rand)) (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 rand -1/3)) 2) (cbrt.f64 (*.f64 rand -1/3)) (*.f64 a rand))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (*.f64 a rand)) (sqrt.f64 (*.f64 a rand)) (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (*.f64 rand -1/3)) (sqrt.f64 (*.f64 rand -1/3)) (*.f64 a rand))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (*.f64 a (sqrt.f64 rand)) (sqrt.f64 rand) (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (*.f64 rand (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (*.f64 rand (sqrt.f64 a)) (sqrt.f64 a) (*.f64 rand -1/3))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (*.f64 -1/3 (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) (*.f64 a rand))
(*.f64 rand (+.f64 a -1/3))
(fma.f64 (*.f64 -1/3 (sqrt.f64 rand)) (sqrt.f64 rand) (*.f64 a rand))
(*.f64 rand (+.f64 a -1/3))

eval580.0ms (0.7%)

Compiler

Compiled 26968 to 20740 computations (23.1% saved)

prune350.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1220121232
Fresh538
Picked101
Done314
Total1229161245
Error
0b
Counts
1245 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
▶42.5b
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
43.6b
(/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))
50.2b
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
43.6b
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))
▶9.6b
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) a) 1/3)
✓19.7b
(-.f64 a 1/3)
42.6b
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
27.8b
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
44.9b
(*.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) (+.f64 a -1/3))
▶1.4b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
43.7b
(*.f64 (+.f64 a -1/3) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
1.4b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
▶0.1b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
▶50.2b
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
20.5b
a
63.0b
-1/3
Compiler

Compiled 383 to 297 computations (22.5% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiled 49 to 37 computations (24.5% saved)

series4.8s (5.9%)

Counts
3 → 24
Calls

15 calls:

TimeVariablePointExpression
957.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
891.0ms
a
@inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
849.0ms
a
@0
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
815.0ms
a
@inf
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
717.0ms
a
@-inf
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
Compiler

Compiled 430491 to 353356 computations (17.9% saved)

rewrite74.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
753×prod-diff_binary64
614×log-prod_binary64
372×fma-def_binary64
223×expm1-udef_binary64
223×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01237
126536
2370335
Stop Event
1×node limit
Counts
3 → 167
Calls
Call 1
Inputs
(*.f64 1/3 rand)
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) rand)) (cbrt.f64 (pow.f64 (exp.f64 1/3) rand)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) rand))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 pow.f64 (*.f64 1/3 rand) 1)))) (#(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 pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (*.f64 (log.f64 (*.f64 1/3 rand)) 1))))))
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(*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))))))

simplify100.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
633×unswap-sqr_binary64
484×cancel-sign-sub-inv_binary64
344×fma-neg_binary64
256×distribute-rgt-neg-in_binary64
220×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03864451
110134004
236893994
Stop Event
1×node limit
Counts
191 → 245
Calls
Call 1
Inputs
(*.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 rand (sqrt.f64 (-.f64 a 1/3))))
(*.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 rand (sqrt.f64 (-.f64 a 1/3))))
(*.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 rand (sqrt.f64 (-.f64 a 1/3))))
(*.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 rand (sqrt.f64 (-.f64 a 1/3))))
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
(+.f64 0 (*.f64 1/3 rand))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) rand)) (cbrt.f64 (pow.f64 (exp.f64 1/3) rand)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) rand))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) rand))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) rand))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 rand))) 1)
(pow.f64 (*.f64 1/3 rand) 1)
(pow.f64 (pow.f64 (*.f64 1/3 rand) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 rand)) 2)
(sqrt.f64 (*.f64 1/9 (*.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 1/3) rand))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 rand))))
(cbrt.f64 (pow.f64 (*.f64 1/3 rand) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 rand)))
(log1p.f64 (expm1.f64 (*.f64 1/3 rand)))
(exp.f64 (log.f64 (*.f64 1/3 rand)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 rand)) 1))
(+.f64 0 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (exp.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(-.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) 1)
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 1/3 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.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 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3))) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (*.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (sqrt.f64 (*.f64 1/3 rand)) (*.f64 (sqrt.f64 (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 1/3 rand))
(*.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 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/3 rand)) 1) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1/3 (cbrt.f64 (+.f64 a -1/3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 rand (cbrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 1/3 rand) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (cbrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 1/3 rand)) (cbrt.f64 (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 rand (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (/.f64 1 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 (cbrt.f64 (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) 1/4)))
(pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 2)
(pow.f64 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3)) 1/3)
(pow.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1)
(neg.f64 (/.f64 (*.f64 1/3 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3)))
(log.f64 (exp.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(cbrt.f64 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(exp.f64 (log.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 1 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) -1)
(fma.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) 2) (cbrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (sqrt.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) -1)
(fma.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))) (/.f64 1 (fma.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1) 1)) -1)
(fma.f64 (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3))) (/.f64 1 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) -1)
(+.f64 a (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 -1/3 (+.f64 a (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 (+.f64 a -1/3) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(+.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))
(+.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(+.f64 (*.f64 a (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (*.f64 -1/3 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))
(+.f64 (*.f64 -1/3 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (*.f64 a (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))
(+.f64 (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) a) (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) -1/3))
(+.f64 (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) -1/3) (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (+.f64 a -1/3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (+.f64 a -1/3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (+.f64 a -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))) 1)
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3)))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (fma.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1) 1)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3)))) (*.f64 (+.f64 a 1/3) (fma.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1) 1)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3)))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (fma.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1) 1) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))) (fma.f64 a a -1/9)) (*.f64 (fma.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1) 1) (+.f64 a 1/3)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a 1/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (-.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (+.f64 a 1/3))
(/.f64 (*.f64 (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))) (+.f64 a -1/3)) (fma.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1) 1))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3))) (+.f64 a -1/3)) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 1/27 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3)))) (fma.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1) 1))
(/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3)))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(/.f64 (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (exp.f64 (+.f64 a -1/3))))
(log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))))
(log1p.f64 (expm1.f64 (*.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 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))) 1))
(fma.f64 (*.f64 1/3 rand) (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 a 1 (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(fma.f64 a (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) (*.f64 -1/3 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))
(fma.f64 -1/3 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) (*.f64 a (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))
(fma.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.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 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3) (+.f64 a -1/3))
(fma.f64 1 a (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 1 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) a (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) -1/3))
(fma.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) -1/3 (*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) a))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3))) (*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.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 1/3 (/.f64 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 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.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 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(fma.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 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.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 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(fma.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 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3)))) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
Outputs
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(-.f64 (+.f64 a (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))) 1/3)
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(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
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(-.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1) 1)
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(*.f64 1/3 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
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(*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1)
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(*.f64 1/3 (/.f64 rand (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 1/3 (/.f64 rand (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 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
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(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
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(pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1)
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(pow.f64 (*.f64 3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) -1)
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(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(neg.f64 (/.f64 (*.f64 1/3 rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
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(*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3)))
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(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
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(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 1/3 a)) (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 (*.f64 (*.f64 rand (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(+.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))) (/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a)))
(fma.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 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 a (-.f64 (*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.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 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(+.f64 a (-.f64 (*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(+.f64 a (-.f64 (*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(+.f64 a (-.f64 (*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(+.f64 a (-.f64 (*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 a (-.f64 (*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 rand)) (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3))
(fma.f64 (*.f64 1/3 rand) (pow.f64 (+.f64 a -1/3) 1/2) (+.f64 a -1/3))
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 1/9 (*.f64 rand rand)) (+.f64 a -1/3)))) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (/.f64 1/9 (/.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (*.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 1/9 (/.f64 (+.f64 a -1/3) (*.f64 rand rand))))) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (/.f64 1/9 (/.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(+.f64 a (-.f64 (*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 a (-.f64 (*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(+.f64 a (-.f64 (*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) 1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (*.f64 rand (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (*.f64 (+.f64 a -1/3) (*.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (*.f64 (*.f64 rand (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 a a -1/9)
✓25.8b
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
Compiler

Compiled 20 to 13 computations (35% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
1.0ms
a
@-inf
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
1.0ms
a
@-inf
(fma.f64 a a -1/9)
1.0ms
a
@inf
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
1.0ms
a
@inf
(fma.f64 a a -1/9)
Compiler

Compiled 170 to 148 computations (12.9% saved)

rewrite49.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
834×pow1_binary64
784×add-log-exp_binary64
784×log1p-expm1-u_binary64
784×expm1-log1p-u_binary64
771×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0716
11609
220969
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(fma.f64 a a -1/9)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.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 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 (neg.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -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 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(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 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 a a -1/9) 3) (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 log1p.f64 (expm1.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 fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/9 (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) 1) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a a) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 a a -1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a a -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (cbrt.f64 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.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 (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 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (+.f64 (*.f64 a a) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a a -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a a -1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a a -1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a a -1/9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a a -1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a a -1/9)))))))

simplify52.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
570×unswap-sqr_binary64
425×fma-neg_binary64
398×associate-/r*_binary64
274×associate-*l/_binary64
266×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0160681
1367635
21529629
37578629
Stop Event
1×node limit
Counts
86 → 96
Calls
Call 1
Inputs
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
-1/9
(-.f64 (pow.f64 a 2) 1/9)
(-.f64 (pow.f64 a 2) 1/9)
(-.f64 (pow.f64 a 2) 1/9)
(pow.f64 (/.f64 1 a) -2)
(-.f64 (pow.f64 (/.f64 1 a) -2) 1/9)
(-.f64 (pow.f64 (/.f64 1 a) -2) 1/9)
(-.f64 (pow.f64 (/.f64 1 a) -2) 1/9)
(pow.f64 (/.f64 -1 a) -2)
(-.f64 (pow.f64 (/.f64 -1 a) -2) 1/9)
(-.f64 (pow.f64 (/.f64 -1 a) -2) 1/9)
(-.f64 (pow.f64 (/.f64 -1 a) -2) 1/9)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 1 (+.f64 a -1/3)) 1)
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(*.f64 (+.f64 a -1/3) 1)
(*.f64 1 (+.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 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))))
(*.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 (neg.f64 a) -1/3)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(pow.f64 (+.f64 a -1/3) 1)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(neg.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 a) -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))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a a -1/9) 3) (pow.f64 (+.f64 a 1/3) 3)))
(expm1.f64 (log1p.f64 (+.f64 a -1/3)))
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(exp.f64 (log.f64 (+.f64 a -1/3)))
(fma.f64 1 a -1/3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(+.f64 -1/9 (*.f64 a a))
(+.f64 (*.f64 a a) -1/9)
(+.f64 (*.f64 (*.f64 a a) 1) -1/9)
(-.f64 (*.f64 a a) 1/9)
(-.f64 (+.f64 1 (fma.f64 a a -1/9)) 1)
(*.f64 (fma.f64 a a -1/9) 1)
(*.f64 1 (fma.f64 a a -1/9))
(*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (cbrt.f64 (fma.f64 a a -1/9)))
(*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (fma.f64 a a -1/9)))
(/.f64 (-.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 (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 (*.f64 a a) (*.f64 a a)) 1/81) (+.f64 (*.f64 a a) 1/9))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9))
(pow.f64 (fma.f64 a a -1/9) 1)
(pow.f64 (pow.f64 (fma.f64 a a -1/9) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 3)
(pow.f64 (sqrt.f64 (fma.f64 a a -1/9)) 2)
(sqrt.f64 (pow.f64 (fma.f64 a a -1/9) 2))
(log.f64 (exp.f64 (fma.f64 a a -1/9)))
(cbrt.f64 (pow.f64 (fma.f64 a a -1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 a a -1/9)))
(log1p.f64 (expm1.f64 (fma.f64 a a -1/9)))
(exp.f64 (log.f64 (fma.f64 a a -1/9)))
Outputs
-1/3
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
a
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
(-.f64 a 1/3)
(+.f64 -1/3 a)
-1/9
(-.f64 (pow.f64 a 2) 1/9)
(fma.f64 a a -1/9)
(-.f64 (pow.f64 a 2) 1/9)
(fma.f64 a a -1/9)
(-.f64 (pow.f64 a 2) 1/9)
(fma.f64 a a -1/9)
(pow.f64 (/.f64 1 a) -2)
(*.f64 a a)
(-.f64 (pow.f64 (/.f64 1 a) -2) 1/9)
(fma.f64 a a -1/9)
(-.f64 (pow.f64 (/.f64 1 a) -2) 1/9)
(fma.f64 a a -1/9)
(-.f64 (pow.f64 (/.f64 1 a) -2) 1/9)
(fma.f64 a a -1/9)
(pow.f64 (/.f64 -1 a) -2)
(-.f64 (pow.f64 (/.f64 -1 a) -2) 1/9)
(+.f64 (pow.f64 (/.f64 -1 a) -2) -1/9)
(+.f64 -1/9 (pow.f64 (/.f64 -1 a) -2))
(fma.f64 (neg.f64 a) (neg.f64 a) -1/9)
(-.f64 (pow.f64 (/.f64 -1 a) -2) 1/9)
(+.f64 (pow.f64 (/.f64 -1 a) -2) -1/9)
(+.f64 -1/9 (pow.f64 (/.f64 -1 a) -2))
(fma.f64 (neg.f64 a) (neg.f64 a) -1/9)
(-.f64 (pow.f64 (/.f64 -1 a) -2) 1/9)
(+.f64 (pow.f64 (/.f64 -1 a) -2) -1/9)
(+.f64 -1/9 (pow.f64 (/.f64 -1 a) -2))
(fma.f64 (neg.f64 a) (neg.f64 a) -1/9)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(+.f64 -1/3 a)
(-.f64 (+.f64 1 (+.f64 a -1/3)) 1)
(+.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 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (+.f64 a -1/3) 1)
(+.f64 -1/3 a)
(*.f64 1 (+.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 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (*.f64 (cbrt.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 a -1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 (neg.f64 a) -1/3)))
(*.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 -1/3 (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(/.f64 (fma.f64 a a -1/9) (*.f64 (pow.f64 (cbrt.f64 (-.f64 a -1/3)) 2) (cbrt.f64 (-.f64 a -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 a -1/3)) 2) (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(/.f64 (fma.f64 a a -1/9) (*.f64 (pow.f64 (cbrt.f64 (-.f64 a -1/3)) 2) (cbrt.f64 (-.f64 a -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (sqrt.f64 (-.f64 a -1/3)) (sqrt.f64 (-.f64 a -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))
(/.f64 (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))) (sqrt.f64 (+.f64 a 1/3)))
(/.f64 (fma.f64 a a -1/9) (*.f64 (sqrt.f64 (-.f64 a -1/3)) (sqrt.f64 (-.f64 a -1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 -1/3 a))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 a a (fma.f64 -1/3 a 1/9))) (+.f64 (pow.f64 a 3) 1/27))
(/.f64 (fma.f64 a a (fma.f64 -1/3 a 1/9)) (/.f64 (+.f64 (pow.f64 a 3) 1/27) (fma.f64 a a -1/9)))
(*.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(+.f64 -1/3 a)
(pow.f64 (+.f64 a -1/3) 1)
(+.f64 -1/3 a)
(pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)
(+.f64 -1/3 a)
(pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)
(+.f64 -1/3 a)
(pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)
(+.f64 -1/3 a)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(+.f64 -1/3 a)
(neg.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 a) -1/3)))
(*.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 -1/3 (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 a a -1/9)) (-.f64 -1/3 a))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.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)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a a -1/9) 3) (pow.f64 (+.f64 a 1/3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a a -1/9) 3) (pow.f64 (-.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(log1p.f64 (expm1.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(exp.f64 (log.f64 (+.f64 a -1/3)))
(+.f64 -1/3 a)
(fma.f64 1 a -1/3)
(+.f64 -1/3 a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
(+.f64 -1/3 a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(+.f64 -1/3 a)
(+.f64 -1/9 (*.f64 a a))
(fma.f64 a a -1/9)
(+.f64 (*.f64 a a) -1/9)
(fma.f64 a a -1/9)
(+.f64 (*.f64 (*.f64 a a) 1) -1/9)
(fma.f64 a a -1/9)
(-.f64 (*.f64 a a) 1/9)
(fma.f64 a a -1/9)
(-.f64 (+.f64 1 (fma.f64 a a -1/9)) 1)
(fma.f64 a a -1/9)
(*.f64 (fma.f64 a a -1/9) 1)
(fma.f64 a a -1/9)
(*.f64 1 (fma.f64 a a -1/9))
(fma.f64 a a -1/9)
(*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2))
(fma.f64 a a -1/9)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (cbrt.f64 (fma.f64 a a -1/9)))
(fma.f64 a a -1/9)
(*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (fma.f64 a a -1/9)))
(fma.f64 a a -1/9)
(/.f64 (-.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 (pow.f64 (*.f64 a a) 3) -1/729) (+.f64 (*.f64 a (pow.f64 a 3)) (+.f64 1/81 (*.f64 a (*.f64 a 1/9)))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (+.f64 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/9) 1/81)))
(/.f64 (+.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 (pow.f64 (*.f64 a a) 3) -1/729) (+.f64 (*.f64 a (pow.f64 a 3)) (+.f64 1/81 (*.f64 a (*.f64 a 1/9)))))
(/.f64 (+.f64 (pow.f64 a 6) -1/729) (+.f64 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/9) 1/81)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (+.f64 (*.f64 a a) 1/9))
(/.f64 (+.f64 (*.f64 a (pow.f64 a 3)) -1/81) (fma.f64 a a 1/9))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) 1/81) (-.f64 (*.f64 a a) -1/9))
(/.f64 (+.f64 (*.f64 a (pow.f64 a 3)) -1/81) (fma.f64 a a 1/9))
(/.f64 (+.f64 (pow.f64 a 4) -1/81) (fma.f64 a a 1/9))
(pow.f64 (fma.f64 a a -1/9) 1)
(fma.f64 a a -1/9)
(pow.f64 (pow.f64 (fma.f64 a a -1/9) 3) 1/3)
(fma.f64 a a -1/9)
(pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 3)
(fma.f64 a a -1/9)
(pow.f64 (sqrt.f64 (fma.f64 a a -1/9)) 2)
(fma.f64 a a -1/9)
(sqrt.f64 (pow.f64 (fma.f64 a a -1/9) 2))
(fma.f64 a a -1/9)
(log.f64 (exp.f64 (fma.f64 a a -1/9)))
(fma.f64 a a -1/9)
(cbrt.f64 (pow.f64 (fma.f64 a a -1/9) 3))
(fma.f64 a a -1/9)
(expm1.f64 (log1p.f64 (fma.f64 a a -1/9)))
(fma.f64 a a -1/9)
(log1p.f64 (expm1.f64 (fma.f64 a a -1/9)))
(fma.f64 a a -1/9)
(exp.f64 (log.f64 (fma.f64 a a -1/9)))
(fma.f64 a a -1/9)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 a 1/3)
✓0.0b
(*.f64 (-.f64 a 1/3) rand)
✓0.3b
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
✓9.0b
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

series4.9s (5.9%)

Counts
3 → 12
Calls

18 calls:

TimeVariablePointExpression
966.0ms
a
@0
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3)))
836.0ms
a
@inf
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
805.0ms
a
@-inf
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
792.0ms
a
@0
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
740.0ms
a
@-inf
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3)))
Compiler

Compiled 435740 to 345500 computations (20.7% saved)

rewrite62.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
525×log-prod_binary64
394×exp-prod_binary64
340×pow-prod-down_binary64
261×pow2_binary64
199×pow-unpow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0940
120240
2279028
Stop Event
1×node limit
Counts
3 → 132
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(*.f64 (-.f64 a 1/3) rand)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3)))) 2)) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 a (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 2) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 (+.f64 a -1/3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) 3/4) (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) 1) (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand 1) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (cbrt.f64 (+.f64 a -1/3))) (/.f64 (+.f64 a -1/3) (pow.f64 (+.f64 a -1/3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (+.f64 a -1/3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/4) (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 rand 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 1/6) (cbrt.f64 rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (sqrt.f64 rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 rand) (pow.f64 (+.f64 a -1/3) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 rand) (pow.f64 (+.f64 a -1/3) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 2)) (cbrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2))))) (#(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 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (+.f64 a -1/3))) (pow.f64 (+.f64 a -1/3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) 1/3) (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) 1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) (neg.f64 rand))) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 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))) 2) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.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 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a rand) (*.f64 -1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand a) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3))) 2)) (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) 1/2)))) (#(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 pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3)))) (#(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 (exp.f64 1) (log.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 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 expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 a -1/3) rand))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a rand (*.f64 -1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand a (*.f64 rand -1/3))))))

simplify62.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
850×fma-def_binary64
690×unswap-sqr_binary64
620×associate-/r*_binary64
290×associate-/l/_binary64
260×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03221948
17671843
228581827
Stop Event
1×node limit
Counts
144 → 190
Calls
Call 1
Inputs
(*.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 0 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3)))) 2)) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1)
(-.f64 (/.f64 a (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 (+.f64 a -1/3) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 (+.f64 a -1/3) (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 1 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 2) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/6)))
(*.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 (+.f64 a -1/3) rand))
(*.f64 (pow.f64 (+.f64 a -1/3) 3/4) (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (/.f64 (+.f64 a -1/3) 1) (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 rand 1) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 rand (cbrt.f64 (+.f64 a -1/3))) (/.f64 (+.f64 a -1/3) (pow.f64 (+.f64 a -1/3) 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (+.f64 a -1/3) 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) 1/6)))
(*.f64 (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 3/4))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/4) (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) 1/4)))
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3)
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 2)
(pow.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1) -1)
(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 rand 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 1/6) (cbrt.f64 rand)) 3)
(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (sqrt.f64 rand)) 2)
(pow.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3/2)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 rand) (pow.f64 (+.f64 a -1/3) 1/6)) 3)
(pow.f64 (*.f64 (sqrt.f64 rand) (pow.f64 (+.f64 a -1/3) 1/4)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 2)) (cbrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(neg.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(sqrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1) 1))
(+.f64 0 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.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 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))))
(/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (+.f64 a -1/3))) (pow.f64 (+.f64 a -1/3) 1/6))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(/.f64 (*.f64 (+.f64 a -1/3) 1/3) (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) 1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(/.f64 (*.f64 1/3 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) (neg.f64 rand))) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1)
(pow.f64 (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2) 1/9) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2) 1/9))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1) 1))
(+.f64 0 (*.f64 (+.f64 a -1/3) rand))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(+.f64 (*.f64 rand a) (*.f64 rand -1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3))) 2)) (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (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 rand (+.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))
(pow.f64 (*.f64 (+.f64 a -1/3) rand) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 a -1/3) rand)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand))))
(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))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand)))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 a -1/3) rand))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1) 1))
(fma.f64 a rand (*.f64 -1/3 rand))
(fma.f64 rand a (*.f64 rand -1/3))
Outputs
(*.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 0 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3)))) 2)) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/3 a)))))) (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3))
(fma.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/3 a))))) (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(-.f64 (/.f64 a (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(-.f64 (*.f64 (/.f64 a (sqrt.f64 (+.f64 -1/3 a))) rand) (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand))
(*.f64 rand (-.f64 (/.f64 a (sqrt.f64 (+.f64 -1/3 a))) (/.f64 1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (+.f64 (/.f64 a (sqrt.f64 (+.f64 -1/3 a))) (/.f64 -1/3 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (+.f64 a -1/3) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 (+.f64 -1/3 a) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (+.f64 a -1/3) (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (+.f64 a -1/3) -1/2))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 1 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 2))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 2) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1/3 a) 2)) (/.f64 rand (pow.f64 (+.f64 -1/3 a) 1/6)))
(*.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) -1/2)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (+.f64 -1/3 a) (*.f64 (neg.f64 rand) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (neg.f64 (+.f64 -1/3 a)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(*.f64 (+.f64 -1/3 a) (/.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 (+.f64 a -1/3) rand))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (+.f64 a -1/3) 3/4) (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (pow.f64 (+.f64 -1/3 a) 3/4) (/.f64 rand (pow.f64 (+.f64 -1/3 a) 1/4)))
(/.f64 (*.f64 rand (pow.f64 (+.f64 -1/3 a) 3/4)) (pow.f64 (+.f64 -1/3 a) 1/4))
(*.f64 (/.f64 (+.f64 a -1/3) 1) (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 -1/3 a) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 rand 1) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 -1/3 a) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 -1/3 a) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 rand (cbrt.f64 (+.f64 a -1/3))) (/.f64 (+.f64 a -1/3) (pow.f64 (+.f64 a -1/3) 1/6)))
(*.f64 (/.f64 rand (cbrt.f64 (+.f64 -1/3 a))) (/.f64 (+.f64 -1/3 a) (pow.f64 (+.f64 -1/3 a) 1/6)))
(/.f64 (*.f64 (+.f64 -1/3 a) (/.f64 rand (cbrt.f64 (+.f64 -1/3 a)))) (pow.f64 (+.f64 -1/3 a) 1/6))
(/.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/6) (+.f64 -1/3 a)) (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (+.f64 a -1/3) 1/6)))
(*.f64 (/.f64 rand (cbrt.f64 (+.f64 -1/3 a))) (/.f64 (+.f64 -1/3 a) (pow.f64 (+.f64 -1/3 a) 1/6)))
(/.f64 (*.f64 (+.f64 -1/3 a) (/.f64 rand (cbrt.f64 (+.f64 -1/3 a)))) (pow.f64 (+.f64 -1/3 a) 1/6))
(/.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/6) (+.f64 -1/3 a)) (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand (+.f64 -1/3 a))) 2) (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) 1/6)))
(*.f64 (/.f64 rand (cbrt.f64 (+.f64 -1/3 a))) (/.f64 (+.f64 -1/3 a) (pow.f64 (+.f64 -1/3 a) 1/6)))
(/.f64 (*.f64 (+.f64 -1/3 a) (/.f64 rand (cbrt.f64 (+.f64 -1/3 a)))) (pow.f64 (+.f64 -1/3 a) 1/6))
(/.f64 rand (*.f64 (/.f64 (pow.f64 (+.f64 -1/3 a) 1/6) (+.f64 -1/3 a)) (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 3/4))
(*.f64 (pow.f64 (+.f64 -1/3 a) 3/4) (/.f64 rand (pow.f64 (+.f64 -1/3 a) 1/4)))
(/.f64 (*.f64 rand (pow.f64 (+.f64 -1/3 a) 3/4)) (pow.f64 (+.f64 -1/3 a) 1/4))
(*.f64 (pow.f64 (+.f64 a -1/3) -1/4) (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (pow.f64 (+.f64 -1/3 a) 3/4) (/.f64 rand (pow.f64 (+.f64 -1/3 a) 1/4)))
(/.f64 (*.f64 rand (pow.f64 (+.f64 -1/3 a) 3/4)) (pow.f64 (+.f64 -1/3 a) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) 1/4)))
(*.f64 (+.f64 -1/3 a) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(*.f64 (+.f64 -1/3 a) (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 1)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2) 1/2)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 2)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) -1)
(/.f64 1 (/.f64 (pow.f64 (+.f64 -1/3 a) -1/2) rand))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 -1/3 a)) 3) (pow.f64 (+.f64 -1/3 a) 3/2)))
(pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand) 1) -1)
(/.f64 1 (/.f64 (pow.f64 (+.f64 -1/3 a) -1/2) rand))
(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 rand 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (pow.f64 rand 3)))
(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 1/6) (cbrt.f64 rand)) 3)
(pow.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 1/6) (cbrt.f64 rand)) 3)
(*.f64 rand (pow.f64 (pow.f64 (+.f64 -1/3 a) 1/6) 3))
(pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (sqrt.f64 rand)) 2)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3/2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (pow.f64 rand 3)))
(pow.f64 (*.f64 (cbrt.f64 rand) (pow.f64 (+.f64 a -1/3) 1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 1/6) (cbrt.f64 rand)) 3)
(*.f64 rand (pow.f64 (pow.f64 (+.f64 -1/3 a) 1/6) 3))
(pow.f64 (*.f64 (sqrt.f64 rand) (pow.f64 (+.f64 a -1/3) 1/4)) 2)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 2)) (cbrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) 2)) (cbrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) (sqrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) (sqrt.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))))
(neg.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (+.f64 -1/3 a) (*.f64 (neg.f64 rand) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 -1/3 a))))))
(/.f64 (neg.f64 (+.f64 -1/3 a)) (neg.f64 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) rand)))
(*.f64 (+.f64 -1/3 a) (/.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (+.f64 -1/3 a)))))
(sqrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (+.f64 a -1/3) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 rand (+.f64 -1/3 a)) 3) (pow.f64 (+.f64 -1/3 a) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (*.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 3)) 1/3))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 3))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 2))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand)) -1))
(/.f64 1 (/.f64 (pow.f64 (+.f64 -1/3 a) -1/2) rand))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1) 1))
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 0 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/3 a))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/3 a)))))))
(*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/3 a)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 2 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/3 a)))))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 1)
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(/.f64 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 -1/3 a) -1/2)) rand)
(*.f64 rand (/.f64 1/3 (pow.f64 (+.f64 -1/3 a) -1/2)))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 rand (/.f64 (fma.f64 a 1/3 -1/9) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 rand (/.f64 (fma.f64 a 1/3 -1/9) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (neg.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 rand (/.f64 (fma.f64 a 1/3 -1/9) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) 1) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 rand (/.f64 (fma.f64 a 1/3 -1/9) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (+.f64 a -1/3))) (pow.f64 (+.f64 a -1/3) 1/6))
(/.f64 (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))) (*.f64 (pow.f64 (+.f64 -1/3 a) 1/6) (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (/.f64 (fma.f64 a 1/3 -1/9) (pow.f64 (+.f64 -1/3 a) 1/6)) (/.f64 rand (cbrt.f64 (+.f64 -1/3 a))))
(/.f64 (/.f64 (*.f64 rand (fma.f64 a 1/3 -1/9)) (pow.f64 (+.f64 -1/3 a) 1/6)) (cbrt.f64 (+.f64 -1/3 a)))
(/.f64 (/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 rand (/.f64 (fma.f64 a 1/3 -1/9) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 (+.f64 a -1/3) 1/3) (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 rand (/.f64 (fma.f64 a 1/3 -1/9) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) 1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 rand (/.f64 (fma.f64 a 1/3 -1/9) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 1/3 (+.f64 a -1/3)) (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 rand (/.f64 (fma.f64 a 1/3 -1/9) (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) (neg.f64 rand))) (neg.f64 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 rand (/.f64 (fma.f64 a 1/3 -1/9) (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1)
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(pow.f64 (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2) 1/9) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 2) 1/9))
(fabs.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)))
(pow.f64 (pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 3)
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 2)
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand))) -1)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))))
(*.f64 rand (/.f64 (fma.f64 a 1/3 -1/9) (sqrt.f64 (+.f64 -1/3 a))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)))) 2)) (cbrt.f64 (log.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)))) (sqrt.f64 (log.f64 (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))) (sqrt.f64 (log.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) 2) 1/9))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 2) 1/9))
(fabs.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 2 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/3 a)))))))
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/3 a)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 3))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(exp.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 1/3))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 3))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))) 2))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) 1) 1))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(+.f64 0 (*.f64 (+.f64 a -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 rand a) (*.f64 rand -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3))) 2)) (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)))
(+.f64 (*.f64 1/3 (*.f64 rand (+.f64 -1/3 a))) (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 -1/3 a))))))
(fma.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 -1/3 a)))) (*.f64 rand (fma.f64 a 1/3 -1/9)))
(fma.f64 rand (fma.f64 a 1/3 -1/9) (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (+.f64 -1/3 a))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))
(*.f64 rand (+.f64 -1/3 a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand))) 1)
(*.f64 rand (+.f64 -1/3 a))
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) rand) (fma.f64 a a (fma.f64 a 1/3 1/9)))
(/.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) rand))
(*.f64 (/.f64 rand (fma.f64 a a (fma.f64 a 1/3 1/9))) (+.f64 (pow.f64 a 3) -1/27))
(/.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3))
(/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (/.f64 rand (+.f64 a 1/3)) (fma.f64 a a -1/9))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(/.f64 (*.f64 rand (+.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) (/.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) rand))
(*.f64 (/.f64 rand (fma.f64 a a (fma.f64 a 1/3 1/9))) (+.f64 (pow.f64 a 3) -1/27))
(/.f64 (*.f64 rand (fma.f64 a a -1/9)) (+.f64 a 1/3))
(/.f64 rand (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))
(*.f64 (/.f64 rand (+.f64 a 1/3)) (fma.f64 a a -1/9))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) rand)
(pow.f64 (*.f64 (+.f64 a -1/3) rand) 1)
(*.f64 rand (+.f64 -1/3 a))
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) 1/2)
(*.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))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3)
(*.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 (exp.f64 1) (log.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 rand (+.f64 -1/3 a))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 rand (+.f64 -1/3 a)))) 2)) (cbrt.f64 (log.f64 (*.f64 rand (+.f64 -1/3 a)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 rand (+.f64 -1/3 a))))) (sqrt.f64 (log.f64 (*.f64 rand (+.f64 -1/3 a)))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2))
(*.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))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand)))
(*.f64 rand (+.f64 -1/3 a))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 a -1/3) rand))) 1/3))
(*.f64 rand (+.f64 -1/3 a))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand))) 3))
(*.f64 rand (+.f64 -1/3 a))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand))) 2))
(*.f64 rand (+.f64 -1/3 a))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1) 1))
(*.f64 rand (+.f64 -1/3 a))
(fma.f64 a rand (*.f64 -1/3 rand))
(*.f64 rand (+.f64 -1/3 a))
(fma.f64 rand a (*.f64 rand -1/3))
(*.f64 rand (+.f64 -1/3 a))

localize22.0ms (0%)

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)))))
✓0.2b
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
✓0.6b
(sqrt.f64 (*.f64 9 a))
Compiler

Compiled 43 to 31 computations (27.9% saved)

series4.9s (6%)

Counts
3 → 12
Calls

15 calls:

TimeVariablePointExpression
732.0ms
a
@-inf
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
717.0ms
a
@0
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
708.0ms
a
@inf
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
617.0ms
a
@-inf
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
592.0ms
a
@inf
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
Compiler

Compiled 430906 to 322548 computations (25.1% saved)

rewrite79.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
600×log-prod_binary64
537×prod-diff_binary64
350×fma-def_binary64
226×pow1/3_binary64
223×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01233
126731
2361131
Stop Event
1×node limit
Counts
3 → 172
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 9 a))
(/.f64 rand (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 0 (*.f64 3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a))) (cbrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 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 (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 (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 (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) 3/2) 1/3)))) (#(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) 1/4) 2)))) (#(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 log1p.f64 (expm1.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 +.f64 0 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))))) (#(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 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 1/3 (/.f64 rand (sqrt.f64 a)))))) (#(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 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 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 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (*.f64 -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 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))))))) (#(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 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (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 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 (pow.f64 (cbrt.f64 rand) 2) (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 (pow.f64 (cbrt.f64 rand) 2) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 a)))))) (#(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 pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(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 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)))) (#(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 pow.f64 (*.f64 3 (/.f64 (sqrt.f64 a) rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 (/.f64 (sqrt.f64 a) rand)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (*.f64 -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 expm1.f64 (*.f64 (log1p.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 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 fma.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 2)) (cbrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (/.f64 1 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (*.f64 -1/3 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) a) (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (+.f64 a -1/3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3))) (*.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (fma.f64 (*.f64 rand 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(+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))))

simplify83.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
572×unswap-sqr_binary64
342×cancel-sign-sub-inv_binary64
235×log-prod_binary64
210×fma-neg_binary64
192×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03983623
110333306
234713153
Stop Event
1×node limit
Counts
184 → 247
Calls
Call 1
Inputs
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 a))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 9 a))))) rand)) 1/3)
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 a))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 9 a))))) rand)) 1/3)
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 a))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 9 a))))) rand)) 1/3)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a))) a) 1/3)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a))) a) 1/3)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a))) a) 1/3)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a))) a) 1/3)
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(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a))) a) 1/3)
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(fma.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1 -1)
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(+.f64 (+.f64 a -1/3) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) 1)
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))
(fma.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (cbrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (cbrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (sqrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
Outputs
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 a))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 9 a))))) rand)) 1/3)
(+.f64 a (-.f64 (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand) 1/3))
(+.f64 a (fma.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand -1/3))
(+.f64 a (fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))) rand -1/3))
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 a))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 9 a))))) rand)) 1/3)
(+.f64 a (-.f64 (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand) 1/3))
(+.f64 a (fma.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand -1/3))
(+.f64 a (fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))) rand -1/3))
(-.f64 (+.f64 a (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 9 a))) (*.f64 1/3 (/.f64 1 (sqrt.f64 (*.f64 9 a))))) rand)) 1/3)
(+.f64 a (-.f64 (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand) 1/3))
(+.f64 a (fma.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand -1/3))
(+.f64 a (fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))) rand -1/3))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (*.f64 a 9)))
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (*.f64 a 9)) rand))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a))) a) 1/3)
(+.f64 a (-.f64 (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand) 1/3))
(+.f64 a (fma.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand -1/3))
(+.f64 a (fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))) rand -1/3))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a))) a) 1/3)
(+.f64 a (-.f64 (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand) 1/3))
(+.f64 a (fma.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand -1/3))
(+.f64 a (fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))) rand -1/3))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a))) a) 1/3)
(+.f64 a (-.f64 (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand) 1/3))
(+.f64 a (fma.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand -1/3))
(+.f64 a (fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))) rand -1/3))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
(/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (*.f64 a 9)))
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (*.f64 a 9)) rand))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a))) a) 1/3)
(+.f64 a (-.f64 (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand) 1/3))
(+.f64 a (fma.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand -1/3))
(+.f64 a (fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))) rand -1/3))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a))) a) 1/3)
(+.f64 a (-.f64 (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand) 1/3))
(+.f64 a (fma.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand -1/3))
(+.f64 a (fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))) rand -1/3))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a))) a) 1/3)
(+.f64 a (-.f64 (*.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand) 1/3))
(+.f64 a (fma.f64 (-.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) (/.f64 1/3 (sqrt.f64 (*.f64 a 9)))) rand -1/3))
(+.f64 a (fma.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 a 9))) rand -1/3))
(+.f64 0 (*.f64 3 (sqrt.f64 a)))
(*.f64 3 (sqrt.f64 a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a))) (cbrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))))
(*.f64 3 (sqrt.f64 a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a)))) 1)
(*.f64 3 (sqrt.f64 a))
(*.f64 (*.f64 3 (sqrt.f64 a)) 1)
(*.f64 3 (sqrt.f64 a))
(*.f64 1 (*.f64 3 (sqrt.f64 a)))
(*.f64 3 (sqrt.f64 a))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) (cbrt.f64 (*.f64 9 a)))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) (cbrt.f64 (*.f64 a 9)))
(*.f64 (cbrt.f64 (*.f64 9 a)) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) (cbrt.f64 (*.f64 a 9)))
(*.f64 (pow.f64 (*.f64 9 a) 1/4) (pow.f64 (*.f64 9 a) 1/4))
(sqrt.f64 (*.f64 a 9))
(*.f64 3 (sqrt.f64 a))
(*.f64 (sqrt.f64 a) 3)
(*.f64 3 (sqrt.f64 a))
(*.f64 (sqrt.f64 a) (pow.f64 9 1/2))
(*.f64 3 (sqrt.f64 a))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 9 a))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 a 9))) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))
(*.f64 (cbrt.f64 (*.f64 a 9)) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))
(*.f64 (pow.f64 9 1/2) (sqrt.f64 a))
(*.f64 3 (sqrt.f64 a))
(*.f64 (pow.f64 1 1/2) (*.f64 3 (sqrt.f64 a)))
(*.f64 3 (sqrt.f64 a))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 9 a)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 a 9))) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))
(*.f64 (cbrt.f64 (*.f64 a 9)) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))
(pow.f64 (*.f64 9 a) 1/2)
(sqrt.f64 (*.f64 a 9))
(pow.f64 (*.f64 3 (sqrt.f64 a)) 1)
(*.f64 3 (sqrt.f64 a))
(pow.f64 (pow.f64 (*.f64 9 a) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 a 9) 3/2))
(pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) 3)
(*.f64 3 (sqrt.f64 a))
(pow.f64 (pow.f64 (*.f64 9 a) 1/4) 2)
(sqrt.f64 (*.f64 a 9))
(fabs.f64 (*.f64 3 (sqrt.f64 a)))
(*.f64 3 (sqrt.f64 a))
(log.f64 (pow.f64 (exp.f64 3) (sqrt.f64 a)))
(*.f64 3 (sqrt.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 a)))))
(*.f64 3 (sqrt.f64 a))
(cbrt.f64 (pow.f64 (*.f64 9 a) 3/2))
(cbrt.f64 (pow.f64 (*.f64 a 9) 3/2))
(expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 a))))
(*.f64 3 (sqrt.f64 a))
(log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 a))))
(*.f64 3 (sqrt.f64 a))
(exp.f64 (log.f64 (*.f64 3 (sqrt.f64 a))))
(*.f64 3 (sqrt.f64 a))
(exp.f64 (*.f64 (log.f64 (*.f64 9 a)) 1/2))
(sqrt.f64 (*.f64 a 9))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 a))) 1))
(*.f64 3 (sqrt.f64 a))
(+.f64 0 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(-.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (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 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 rand (/.f64 (*.f64 a 9) rand))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (/.f64 rand (/.f64 (*.f64 a 9) rand))))
(*.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (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 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (neg.f64 rand) (/.f64 1 (*.f64 -3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) rand)
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 9 a))) (/.f64 rand (cbrt.f64 (*.f64 3 (sqrt.f64 a)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) rand) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))
(/.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 3 (sqrt.f64 a))))
(/.f64 rand (*.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 a))) (cbrt.f64 (*.f64 a 9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (*.f64 9 a))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (*.f64 a 9))))
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(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
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(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
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(/.f64 (-.f64 1 (/.f64 rand (/.f64 (*.f64 a 9) rand))) (/.f64 (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3)) (+.f64 a -1/3)))
(/.f64 (-.f64 1 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (/.f64 (+.f64 1 (*.f64 rand (/.f64 -1/3 (sqrt.f64 a)))) (+.f64 a -1/3)))
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(/.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (/.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (+.f64 (pow.f64 a 3) -1/27)))
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(/.f64 (*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))
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(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
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(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(pow.f64 (*.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3) (pow.f64 (+.f64 a -1/3) 3)) 1/3)
(fma.f64 rand (*.f64 (/.f64 1/3 (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))
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(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(log.f64 (pow.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (+.f64 a -1/3)))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 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)))))
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(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 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 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 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 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a))) (*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (/.f64 rand (/.f64 (*.f64 a 9) rand))) (*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)))) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 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 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(+.f64 (*.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.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 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))
(fma.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(+.f64 (*.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.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 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 a)) (/.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (fma.f64 a 1/3 1/9))))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(+.f64 (*.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 a)) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))) 1))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))
(+.f64 (*.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 a)) (+.f64 a -1/3))) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(+.f64 (/.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 a)) (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (cbrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (cbrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (+.f64 a -1/3))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (sqrt.f64 (*.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)))) (+.f64 a -1/3))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 a -1/3))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 9 a)))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a))) (*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (/.f64 rand (/.f64 (*.f64 a 9) rand))) (*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 (*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 rand 9) (/.f64 rand a)))) 1))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (+.f64 a -1/3))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 a 1/3) rand)
✓0.0b
(-.f64 (*.f64 9 a) 3)
✓0.6b
(sqrt.f64 (-.f64 (*.f64 9 a) 3))
✓9.0b
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
Compiler

Compiled 71 to 52 computations (26.8% saved)

series3.1s (3.8%)

Counts
3 → 3
Calls

12 calls:

TimeVariablePointExpression
717.0ms
a
@-inf
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
701.0ms
a
@inf
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
688.0ms
a
@0
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
393.0ms
a
@-inf
(sqrt.f64 (-.f64 (*.f64 9 a) 3))
370.0ms
a
@inf
(sqrt.f64 (-.f64 (*.f64 9 a) 3))
Compiler

Compiled 297996 to 239581 computations (19.6% saved)

rewrite67.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
619×log-prod_binary64
387×pow-prod-down_binary64
339×pow2_binary64
236×pow1/3_binary64
234×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
127228
2354528
Stop Event
1×node limit
Counts
3 → 130
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(sqrt.f64 (-.f64 (*.f64 9 a) 3))
(-.f64 (*.f64 9 a) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 a (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) (/.f64 1/3 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))))) (#(struct:change 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(sqrt.f64 a) -3)))))

simplify62.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
682×associate-/l*_binary64
576×fma-def_binary64
513×unswap-sqr_binary64
496×distribute-rgt-in_binary64
476×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02941856
16241771
222151717
Stop Event
1×node limit
Counts
133 → 173
Calls
Call 1
Inputs
-3
(*.f64 9 a)
(*.f64 9 a)
(+.f64 0 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand))) 1)
(-.f64 (/.f64 a (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) (/.f64 1/3 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))
(*.f64 (+.f64 a -1/3) (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))
(*.f64 (+.f64 a -1/3) (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 rand (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand) 1)
(*.f64 1 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)) (sqrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 (+.f64 a -1/3) rand))
(*.f64 (/.f64 (+.f64 a -1/3) 1) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 rand 1) (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/6)))
(*.f64 (/.f64 rand (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (fma.f64 a 9 -3))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (fma.f64 a 9 -3) 1/6)))
(*.f64 (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)))
(*.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) 1/4)))
(*.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (fma.f64 a 9 -3) 1/4)))
(pow.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand) 1)
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 a 9 -3)) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)) 2)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (+.f64 a -1/3) rand)) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (fma.f64 a 9 -3) 3/2)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (*.f64 (+.f64 a -1/3) rand)) 1) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 a 9 -3)))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (fma.f64 a 9 -3) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)) 1))
(+.f64 0 (sqrt.f64 (fma.f64 a 9 -3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3)))) 1)
(*.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (fma.f64 a 9 -3) 1/6))
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (pow.f64 (fma.f64 a 9 -3) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 a 9 -3)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 a a) 81 -9)) (sqrt.f64 (fma.f64 a 9 3)))
(/.f64 (sqrt.f64 (fma.f64 729 (pow.f64 a 3) -27)) (hypot.f64 (*.f64 a 9) (sqrt.f64 (fma.f64 a 27 9))))
(pow.f64 (fma.f64 a 9 -3) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 1)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 a 9 -3)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3)))))
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a 9 -3))) 1))
(+.f64 (*.f64 a 9) -3)
(+.f64 -3 (*.f64 a 9))
(+.f64 0 (fma.f64 a 9 -3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a 9 -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a 9 -3)))))
(*.f64 (fma.f64 a 9 -3) 1)
(*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 (fma.f64 a 9 -3)))
(*.f64 1 (fma.f64 a 9 -3))
(*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) (cbrt.f64 (fma.f64 a 9 -3)))
(*.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2)))
(*.f64 (fma.f64 729 (pow.f64 a 3) -27) (/.f64 1 (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9))))
(*.f64 (fma.f64 (*.f64 a a) 81 -9) (/.f64 1 (fma.f64 a 9 3)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2)) (pow.f64 (fma.f64 a 9 -3) 1/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (pow.f64 (fma.f64 a 9 -3) 1/6))
(/.f64 1 (/.f64 (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9)) (fma.f64 729 (pow.f64 a 3) -27)))
(/.f64 1 (/.f64 (fma.f64 a 9 3) (fma.f64 (*.f64 a a) 81 -9)))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9)))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 (*.f64 a a) 81 (-.f64 9 (*.f64 (*.f64 a 9) -3))))
(/.f64 (fma.f64 (*.f64 a a) 81 -9) (fma.f64 a 9 3))
(/.f64 (neg.f64 (fma.f64 729 (pow.f64 a 3) -27)) (neg.f64 (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) 81 -9)) (neg.f64 (fma.f64 a 9 3)))
(pow.f64 (fma.f64 a 9 -3) 1)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) 2/3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) 6)
(pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 4)
(pow.f64 (/.f64 (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9)) (fma.f64 729 (pow.f64 a 3) -27)) -1)
(pow.f64 (/.f64 (fma.f64 a 9 3) (fma.f64 (*.f64 a a) 81 -9)) -1)
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))
(log.f64 (exp.f64 (fma.f64 a 9 -3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 9 -3))))
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3))
(expm1.f64 (log1p.f64 (fma.f64 a 9 -3)))
(log1p.f64 (expm1.f64 (fma.f64 a 9 -3)))
(exp.f64 (log.f64 (fma.f64 a 9 -3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1))
(fma.f64 a 9 -3)
(fma.f64 9 a -3)
(fma.f64 (*.f64 a 9) 1 -3)
(fma.f64 1 (*.f64 a 9) -3)
(fma.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (*.f64 (*.f64 a a) 81)) -3)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 81)) (cbrt.f64 (*.f64 a 9)) -3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3)
(fma.f64 (*.f64 3 (sqrt.f64 a)) (*.f64 3 (sqrt.f64 a)) -3)
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 9) -3)
(fma.f64 (*.f64 9 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) -3)
(fma.f64 (*.f64 9 (sqrt.f64 a)) (sqrt.f64 a) -3)
Outputs
-3
(*.f64 9 a)
(*.f64 9 a)
(+.f64 0 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3))) rand)
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3)))) rand)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3)))) rand))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3)))) rand))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3)))) rand))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand))) 1)
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3))) rand)
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(-.f64 (/.f64 a (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) (/.f64 1/3 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3))) rand)
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (+.f64 a -1/3) (/.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3))) rand)
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (+.f64 a -1/3) (*.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (+.f64 a -1/3) (*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 rand (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (+.f64 a -1/3) (*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) -1/2))
(*.f64 (+.f64 a -1/3) (*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand) 1)
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3))) rand)
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 1 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand))
(*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3))) rand)
(*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 a 9 -3))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3))) rand)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 9 a -3))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 9 a -3))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 a 9 -3))) (cbrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 9 a -3))) rand)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 9 a -3))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (fma.f64 9 a -3))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (fma.f64 a 9 -3) -1/2)))
(*.f64 (+.f64 a -1/3) (*.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)) (sqrt.f64 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))) rand)))
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(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9)))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 a (*.f64 a 81) (fma.f64 a 27 9)))
(*.f64 (fma.f64 (*.f64 a a) 81 -9) (/.f64 1 (fma.f64 a 9 3)))
(/.f64 (fma.f64 a (*.f64 a 81) -9) (fma.f64 9 a 3))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 3/2)) (pow.f64 (fma.f64 a 9 -3) 1/4))
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (sqrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2)))
(*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (pow.f64 (fma.f64 9 a -3) 3/4))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (pow.f64 (fma.f64 a 9 -3) 1/6))
(*.f64 (sqrt.f64 (fma.f64 9 a -3)) (*.f64 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (fma.f64 9 a -3) 1/6)))
(*.f64 (cbrt.f64 (fma.f64 9 a -3)) (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (fma.f64 9 a -3) 1/6)))
(*.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (pow.f64 (fma.f64 9 a -3) 1/6) 3))
(/.f64 1 (/.f64 (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9)) (fma.f64 729 (pow.f64 a 3) -27)))
(*.f64 (fma.f64 729 (pow.f64 a 3) -27) (/.f64 1 (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9))))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9)))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 a (*.f64 a 81) (fma.f64 a 27 9)))
(/.f64 1 (/.f64 (fma.f64 a 9 3) (fma.f64 (*.f64 a a) 81 -9)))
(*.f64 (fma.f64 (*.f64 a a) 81 -9) (/.f64 1 (fma.f64 a 9 3)))
(/.f64 (fma.f64 a (*.f64 a 81) -9) (fma.f64 9 a 3))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9)))
(*.f64 (fma.f64 729 (pow.f64 a 3) -27) (/.f64 1 (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9))))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 a (*.f64 a 81) (fma.f64 a 27 9)))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 (*.f64 a a) 81 (-.f64 9 (*.f64 (*.f64 a 9) -3))))
(*.f64 (fma.f64 729 (pow.f64 a 3) -27) (/.f64 1 (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9))))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9)))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 a (*.f64 a 81) (fma.f64 a 27 9)))
(/.f64 (fma.f64 (*.f64 a a) 81 -9) (fma.f64 a 9 3))
(*.f64 (fma.f64 (*.f64 a a) 81 -9) (/.f64 1 (fma.f64 a 9 3)))
(/.f64 (fma.f64 a (*.f64 a 81) -9) (fma.f64 9 a 3))
(/.f64 (neg.f64 (fma.f64 729 (pow.f64 a 3) -27)) (neg.f64 (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9))))
(*.f64 (fma.f64 729 (pow.f64 a 3) -27) (/.f64 1 (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9))))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9)))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 a (*.f64 a 81) (fma.f64 a 27 9)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) 81 -9)) (neg.f64 (fma.f64 a 9 3)))
(*.f64 (fma.f64 (*.f64 a a) 81 -9) (/.f64 1 (fma.f64 a 9 3)))
(/.f64 (fma.f64 a (*.f64 a 81) -9) (fma.f64 9 a 3))
(pow.f64 (fma.f64 a 9 -3) 1)
(fma.f64 9 a -3)
(pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 2)
(fma.f64 9 a -3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) 2/3)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2)))
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 2) 1/2)
(fma.f64 9 a -3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 3) 1/3)
(fma.f64 9 a -3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/6) 6)
(fma.f64 9 a -3)
(pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 3)
(fma.f64 9 a -3)
(pow.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 4)
(fma.f64 9 a -3)
(pow.f64 (/.f64 (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9)) (fma.f64 729 (pow.f64 a 3) -27)) -1)
(*.f64 (fma.f64 729 (pow.f64 a 3) -27) (/.f64 1 (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9))))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 (*.f64 a a) 81 (fma.f64 a 27 9)))
(/.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 a (*.f64 a 81) (fma.f64 a 27 9)))
(pow.f64 (/.f64 (fma.f64 a 9 3) (fma.f64 (*.f64 a a) 81 -9)) -1)
(*.f64 (fma.f64 (*.f64 a a) 81 -9) (/.f64 1 (fma.f64 a 9 3)))
(/.f64 (fma.f64 a (*.f64 a 81) -9) (fma.f64 9 a 3))
(sqrt.f64 (pow.f64 (fma.f64 a 9 -3) 2))
(fma.f64 9 a -3)
(log.f64 (exp.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a 9 -3))))
(fma.f64 9 a -3)
(cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 3))
(fma.f64 9 a -3)
(expm1.f64 (log1p.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(log1p.f64 (expm1.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(exp.f64 (log.f64 (fma.f64 a 9 -3)))
(fma.f64 9 a -3)
(exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1))
(fma.f64 9 a -3)
(fma.f64 a 9 -3)
(fma.f64 9 a -3)
(fma.f64 9 a -3)
(fma.f64 (*.f64 a 9) 1 -3)
(fma.f64 9 a -3)
(fma.f64 1 (*.f64 a 9) -3)
(fma.f64 9 a -3)
(fma.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (*.f64 (*.f64 a a) 81)) -3)
(fma.f64 (cbrt.f64 (*.f64 9 a)) (cbrt.f64 (*.f64 (*.f64 a a) 81)) -3)
(fma.f64 (cbrt.f64 (*.f64 9 a)) (cbrt.f64 (*.f64 a (*.f64 a 81))) -3)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 81)) (cbrt.f64 (*.f64 a 9)) -3)
(fma.f64 (cbrt.f64 (*.f64 9 a)) (cbrt.f64 (*.f64 (*.f64 a a) 81)) -3)
(fma.f64 (cbrt.f64 (*.f64 9 a)) (cbrt.f64 (*.f64 a (*.f64 a 81))) -3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3)
(fma.f64 9 a -3)
(fma.f64 (*.f64 3 (sqrt.f64 a)) (*.f64 3 (sqrt.f64 a)) -3)
(fma.f64 9 a -3)
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 9) -3)
(fma.f64 9 a -3)
(fma.f64 (*.f64 9 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) -3)
(fma.f64 9 a -3)
(fma.f64 (*.f64 9 (sqrt.f64 a)) (sqrt.f64 a) -3)
(fma.f64 9 a -3)

eval512.0ms (0.6%)

Compiler

Compiled 23571 to 17685 computations (25% saved)

prune335.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1194121206
Fresh7310
Picked101
Done415
Total1206161222
Error
0b
Counts
1222 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
19.8b
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
10.1b
(/.f64 (+.f64 a -1/3) (/.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (-.f64 1 (/.f64 1/9 (/.f64 (+.f64 a -1/3) (*.f64 rand rand))))))
51.5b
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
▶42.9b
(/.f64 (*.f64 a a) (-.f64 a -1/3))
43.6b
(/.f64 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))
▶10.9b
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a))) a) 1/3)
✓19.7b
(-.f64 a 1/3)
43.7b
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 -1/3 a) -1/2)) rand)
43.6b
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
▶1.4b
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
▶43.6b
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
43.7b
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
▶2.3b
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
54.9b
(*.f64 1/3 (/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3)) (sqrt.f64 (-.f64 a 1/3))))
20.5b
a
63.0b
-1/3
Compiler

Compiled 361 to 281 computations (22.2% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiled 41 to 26 computations (36.6% saved)

series6.2s (7.6%)

Counts
3 → 36
Calls

18 calls:

TimeVariablePointExpression
832.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
795.0ms
a
@inf
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
792.0ms
a
@0
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
662.0ms
a
@0
(+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
640.0ms
a
@-inf
(+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
Compiler

Compiled 532894 to 404549 computations (24.1% saved)

rewrite80.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
654×prod-diff_binary64
611×log-prod_binary64
367×fma-def_binary64
231×expm1-udef_binary64
231×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01239
127337
2382437
Stop Event
1×node limit
Counts
3 → 199
Calls
Call 1
Inputs
(/.f64 (/.f64 rand 3) (sqrt.f64 a))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1 (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 1/3 (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 1/3) (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (*.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand 1/3)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 a)) (/.f64 (cbrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) (/.f64 (sqrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 (*.f64 rand 1/3) (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) (/.f64 3 rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 rand 1/3) (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))))) (#(struct:change #<rule 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rand 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 (*.f64 rand 1/3) (pow.f64 a 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a 1/4)) 1)))))

simplify99.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
765×times-frac_binary64
380×cancel-sign-sub-inv_binary64
243×fma-neg_binary64
240×associate-*l*_binary64
220×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04254590
110854375
240484290
Stop Event
1×node limit
Counts
235 → 313
Calls
Call 1
Inputs
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(-.f64 a 1/3)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
1
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(+.f64 0 (/.f64 rand (*.f64 3 (sqrt.f64 a))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))))
(-.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 1)
(*.f64 rand (/.f64 1 (*.f64 3 (sqrt.f64 a))))
(*.f64 rand (*.f64 1/3 (pow.f64 a -1/2)))
(*.f64 (*.f64 rand 1/3) (pow.f64 a -1/2))
(*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 1)
(*.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (*.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)))
(*.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))
(*.f64 (sqrt.f64 (*.f64 rand 1/3)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)))
(*.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 a))))
(*.f64 (pow.f64 a -1/2) (*.f64 rand 1/3))
(*.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 a)) (/.f64 (cbrt.f64 rand) 3))
(*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) (/.f64 (sqrt.f64 rand) 3))
(*.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)))
(*.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (sqrt.f64 a))))
(*.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)))
(*.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 (*.f64 rand 1/3) (pow.f64 a 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a 1/4)))
(pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 1)
(pow.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 3)
(pow.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 2)
(pow.f64 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 a) (/.f64 3 rand)) -1)
(neg.f64 (/.f64 (*.f64 rand 1/3) (neg.f64 (sqrt.f64 a))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a))
(log.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))))))
(cbrt.f64 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3))
(expm1.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 1))
(log1p.f64 (expm1.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))
(exp.f64 (log.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 1))
(fma.f64 1 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) -1)
(fma.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 2)) (cbrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (sqrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3)) (/.f64 1 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1)) -1)
(fma.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (/.f64 1 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) -1)
(+.f64 a (+.f64 -1/3 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))))
(+.f64 -1/3 (+.f64 a (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))))
(+.f64 (+.f64 a -1/3) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)))
(+.f64 (+.f64 a -1/3) (*.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) 1))
(+.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))
(+.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) (+.f64 a -1/3))
(+.f64 (*.f64 a (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (*.f64 -1/3 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))
(+.f64 (*.f64 -1/3 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (*.f64 a (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))
(+.f64 (*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) a) (*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) -1/3))
(+.f64 (*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) -1/3) (*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) a))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (+.f64 a -1/3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (+.f64 a -1/3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (+.f64 a -1/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))) 1)
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3))) (*.f64 (+.f64 a 1/3) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1)))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))))
(/.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a))) (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3)) (fma.f64 a a -1/9)) (*.f64 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1) (+.f64 a 1/3)))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (+.f64 a 1/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))))))
(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)))) (-.f64 (+.f64 a -1/3) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (+.f64 a 1/3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3)) (+.f64 a -1/3)) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))
(/.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3))) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1))
(/.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a))) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))
(/.f64 (*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (+.f64 -1/27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)))
(/.f64 (*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))
(pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (+.f64 a -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (exp.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))) (exp.f64 (+.f64 a -1/3))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (log.f64 (+.f64 a -1/3))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (log.f64 (+.f64 a -1/3))) 1))
(fma.f64 (*.f64 rand 1/3) (*.f64 (pow.f64 a -1/2) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 a 1 (+.f64 -1/3 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))))
(fma.f64 a (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (*.f64 -1/3 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))))
(fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (+.f64 a -1/3) (+.f64 a -1/3))
(fma.f64 -1/3 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) (*.f64 a (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))
(fma.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 a))) (+.f64 a -1/3))
(fma.f64 (+.f64 a -1/3) 1 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)))
(fma.f64 (+.f64 a -1/3) 1 (*.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) 1))
(fma.f64 1 a (+.f64 -1/3 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))))
(fma.f64 1 (+.f64 a -1/3) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)))
(fma.f64 1 (+.f64 a -1/3) (*.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) 1))
(fma.f64 1 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) (+.f64 a -1/3))
(fma.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) a (*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) -1/3))
(fma.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) -1/3 (*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) a))
(fma.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a a)) (+.f64 -1/3 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))))
(fma.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (sqrt.f64 a)) (sqrt.f64 a)) (+.f64 -1/3 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))))
(fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (+.f64 -1/3 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)))
(fma.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (*.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (+.f64 a -1/3))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (*.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)))
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(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) 1))
(fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (+.f64 a -1/3))
(fma.f64 (pow.f64 a 1/4) (*.f64 (pow.f64 a 1/4) (sqrt.f64 a)) (+.f64 -1/3 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (*.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)))
(fma.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))) (*.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) 1))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)))
(fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)) 1))
(fma.f64 (*.f64 (sqrt.f64 a) (pow.f64 a 1/4)) (pow.f64 a 1/4) (+.f64 -1/3 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))) (+.f64 a -1/3))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))) (sqrt.f64 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand 1/3)) (pow.f64 a -1/2) (+.f64 a -1/3))
(fma.f64 (*.f64 (sqrt.f64 a) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)) (+.f64 -1/3 (/.f64 (*.f64 (*.f64 rand 1/3) (+.f64 a -1/3)) (sqrt.f64 a))))
(fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a))) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (+.f64 a -1/3))
(fma.f64 (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(fma.f64 (*.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))) (/.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))))
(*.f64 1 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1))
(*.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 2)) (cbrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))
(*.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) (sqrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3)) (/.f64 1 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1)))
(*.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (/.f64 1 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3)) (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3)) (+.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))))
(/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3))) (neg.f64 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a))) (neg.f64 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) 1) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1))
(pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 1)
(pow.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 2))
(log.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1))))
(cbrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))
(log1p.f64 (expm1.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))
(exp.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 1))
(fma.f64 rand (/.f64 1 (*.f64 3 (sqrt.f64 a))) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)
(fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 1 1)
(fma.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 1)
(fma.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) 1)
(fma.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (*.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)) 1)
(fma.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 1)
(fma.f64 (sqrt.f64 (*.f64 rand 1/3)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)) 1)
(fma.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 a))) 1)
(fma.f64 (pow.f64 a -1/2) (*.f64 rand 1/3) 1)
(fma.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 a)) (/.f64 (cbrt.f64 rand) 3) 1)
(fma.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) (/.f64 (sqrt.f64 rand) 3) 1)
(fma.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)) 1)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)) 1)
(fma.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) 1)
(fma.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 a))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 1)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (sqrt.f64 a))) 1)
(fma.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)) 1)
(fma.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 (*.f64 rand 1/3) (pow.f64 a 1/4)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a 1/4)) 1)
Outputs
(*.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 rand (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.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 rand (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.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 rand (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.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 rand (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) a) -1/3)
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) a) -1/3)
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) a) -1/3)
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a)))
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(*.f64 1/3 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) rand))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) a) -1/3)
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) a) -1/3)
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) a) -1/3)
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a)))
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(*.f64 1/3 (*.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) rand))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) a) -1/3)
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) a) -1/3)
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 a))) a) 1/3)
(+.f64 (fma.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)) a) -1/3)
(*.f64 (fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1) (+.f64 a -1/3))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) (+.f64 a -1/3))
1
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(*.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 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(*.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 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(+.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(+.f64 0 (/.f64 rand (*.f64 3 (sqrt.f64 a))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 a -1/2)))) 2)
(*.f64 (pow.f64 a -1/2) (log.f64 (cbrt.f64 (exp.f64 rand))))
(-.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 1)
(+.f64 (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) -1)
(+.f64 (*.f64 1/3 (*.f64 rand (pow.f64 a -1/2))) 0)
(*.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))
(*.f64 rand (/.f64 1 (*.f64 3 (sqrt.f64 a))))
(/.f64 (*.f64 1/3 rand) (sqrt.f64 a))
(*.f64 1/3 (/.f64 rand (sqrt.f64 a)))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 rand (*.f64 1/3 (pow.f64 a -1/2)))
(+.f64 (fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1) -1)
(+.f64 (*.f64 1/3 (*.f64 rand (pow.f64 a -1/2))) 0)
(*.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))
(*.f64 (*.f64 rand 1/3) (pow.f64 a -1/2))
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(/.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (/.f64 (*.f64 (*.f64 1/3 rand) (/.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 1/3 rand)) (sqrt.f64 a))) (sqrt.f64 a))) (+.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand -1/3) (/.f64 (sqrt.f64 a) (+.f64 a -1/3)))))
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(/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (*.f64 rand rand) a) 1/9)) (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3)))
(/.f64 (fma.f64 (*.f64 rand (/.f64 rand a)) 1/9 -1) (+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 3))) (neg.f64 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) 3)) 1) (fma.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) 3)) (fma.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 3)) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1) 1))
(/.f64 (neg.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a))) (neg.f64 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))))))
(/.f64 (-.f64 1 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (*.f64 rand rand) a) 1/9)) (+.f64 1 (*.f64 (/.f64 rand (sqrt.f64 a)) -1/3)))
(/.f64 (fma.f64 (*.f64 rand (/.f64 rand a)) 1/9 -1) (+.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) -1))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) 1) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a) -1) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1))
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 rand rand) a) 1/9) -1) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1))
(/.f64 (fma.f64 (*.f64 rand (/.f64 rand a)) 1/9 -1) (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) -1))
(pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 1)
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 3) 1/3)
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) 3)
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)) 2)
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(sqrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 2))
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(log.f64 (exp.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1))))
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(cbrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1) 3))
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(expm1.f64 (log1p.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(log1p.f64 (expm1.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)))
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(exp.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))))
(exp.f64 (log1p.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
(exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(exp.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 1))
(exp.f64 (log1p.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
(exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(exp.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(fma.f64 rand (/.f64 1 (*.f64 3 (sqrt.f64 a))) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 (*.f64 rand 1/3) (pow.f64 a -1/2) 1)
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 1 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(fma.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 a))) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(fma.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) 1)
(fma.f64 (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) 1)
(fma.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 (*.f64 rand rand) a) 1/9)) 1)
(fma.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (*.f64 rand (*.f64 rand (/.f64 1/9 a)))) 1)
(fma.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 1)
(fma.f64 (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (cbrt.f64 (/.f64 (*.f64 (*.f64 rand rand) 1/9) a)) 1)
(fma.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 (*.f64 rand rand) a) 1/9)) 1)
(fma.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (*.f64 rand (*.f64 rand (/.f64 1/9 a)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (*.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)) 1)
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(fma.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(fma.f64 (sqrt.f64 (*.f64 rand 1/3)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 a -1/2)) 1)
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(fma.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 a))) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(fma.f64 (pow.f64 a -1/2) (*.f64 rand 1/3) 1)
(fma.f64 (pow.f64 a -1/2) (*.f64 1/3 rand) 1)
(fma.f64 rand (*.f64 1/3 (pow.f64 a -1/2)) 1)
(fma.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 a)) (/.f64 (cbrt.f64 rand) 3) 1)
(fma.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) (/.f64 (sqrt.f64 rand) 3) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(fma.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 a)) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(fma.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) 1)
(fma.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 a))) 1)
(fma.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 a)))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) 1)
(fma.f64 (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (cbrt.f64 a)) 1)
(fma.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 rand)) 2) (cbrt.f64 a)) 1)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (sqrt.f64 a))) 1)
(fma.f64 (/.f64 rand (cbrt.f64 a)) (/.f64 1/3 (cbrt.f64 (sqrt.f64 a))) 1)
(fma.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)) 1)
(fma.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 (*.f64 rand 1/3) (pow.f64 a 1/4)) 1)
(fma.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 a 1/4)) 1)
(fma.f64 (/.f64 rand (pow.f64 a 1/4)) (/.f64 1/3 (pow.f64 a 1/4)) 1)

localize13.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓25.8b
(/.f64 (*.f64 a a) (-.f64 a -1/3))
Compiler

Compiled 17 to 9 computations (47.1% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

Compiled 230 to 194 computations (15.7% saved)

rewrite42.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
791×pow1_binary64
746×add-log-exp_binary64
746×log1p-expm1-u_binary64
746×expm1-log1p-u_binary64
731×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114110
2198210
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (*.f64 a a) (-.f64 a -1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1 (/.f64 (+.f64 a 1/3) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 a (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 a (+.f64 a 1/3)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) 2) (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 1 (+.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 (*.f64 a (neg.f64 a)) (/.f64 1 (+.f64 (neg.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a 1) (/.f64 a (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (+.f64 a 1/3)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a 4)) 1) (/.f64 (pow.f64 (cbrt.f64 a) 2) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 a (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (*.f64 a a) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 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 *.f64 (/.f64 (cbrt.f64 (pow.f64 a 4)) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a a) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a a) (fma.f64 a a -1/9)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (sqrt.f64 (+.f64 a 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a a) (+.f64 (neg.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (+.f64 a 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))))))

simplify46.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
747×fma-def_binary64
538×log-prod_binary64
519×log-div_binary64
391×associate-/l*_binary64
286×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0134749
1360647
21115561
34808550
Stop Event
1×node limit
Counts
47 → 79
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 (*.f64 -1/27 (pow.f64 (/.f64 1 a) 2)) (*.f64 1/9 (/.f64 1 a)))) 1/3)
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/9 (/.f64 1 a))) 1/3)
(-.f64 (+.f64 a (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 -1 a) 2)) (*.f64 1/9 (/.f64 1 a)))) 1/3)
(-.f64 (+.f64 1 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) 1)
(*.f64 a (/.f64 1 (/.f64 (+.f64 a 1/3) a)))
(*.f64 a (*.f64 a (/.f64 1 (+.f64 a 1/3))))
(*.f64 (*.f64 a a) (/.f64 1 (+.f64 a 1/3)))
(*.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) 1)
(*.f64 1 (*.f64 (/.f64 a (+.f64 a 1/3)) a))
(*.f64 (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) 2) (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 1 (+.f64 a 1/3))))
(*.f64 (/.f64 a (sqrt.f64 (+.f64 a 1/3))) (/.f64 a (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (*.f64 a (neg.f64 a)) (/.f64 1 (+.f64 (neg.f64 a) -1/3)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a))
(*.f64 (/.f64 a 1) (/.f64 a (+.f64 a 1/3)))
(*.f64 (/.f64 a (+.f64 a 1/3)) a)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a 4)) 1) (/.f64 (pow.f64 (cbrt.f64 a) 2) (+.f64 a 1/3)))
(*.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 (*.f64 a a) (cbrt.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 (/.f64 a (+.f64 a 1/3)) a)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (*.f64 a a) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a 4)) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (/.f64 (*.f64 a a) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (*.f64 a a) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(pow.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) 3)
(pow.f64 (/.f64 a (sqrt.f64 (+.f64 a 1/3))) 2)
(pow.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) -1)
(neg.f64 (/.f64 (*.f64 a a) (+.f64 (neg.f64 a) -1/3)))
(sqrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2)))
(log.f64 (exp.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (+.f64 a 1/3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))
(exp.f64 (log.f64 (*.f64 (/.f64 a (+.f64 a 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 a a) (+.f64 3 (*.f64 a -9)))
(*.f64 (*.f64 a a) (fma.f64 a -9 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))))
(fma.f64 3 (*.f64 a a) (fma.f64 -9 (pow.f64 a 3) (*.f64 27 (pow.f64 a 4))))
(fma.f64 27 (pow.f64 a 4) (*.f64 (*.f64 a a) (+.f64 3 (*.f64 a -9))))
(fma.f64 (*.f64 a a) (fma.f64 a -9 3) (*.f64 27 (pow.f64 a 4)))
(+.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)))))
(fma.f64 -81 (pow.f64 a 5) (fma.f64 3 (*.f64 a a) (fma.f64 -9 (pow.f64 a 3) (*.f64 27 (pow.f64 a 4)))))
(fma.f64 -81 (pow.f64 a 5) (fma.f64 27 (pow.f64 a 4) (*.f64 (*.f64 a a) (+.f64 3 (*.f64 a -9)))))
(fma.f64 -81 (pow.f64 a 5) (fma.f64 (*.f64 a a) (fma.f64 a -9 3) (*.f64 27 (pow.f64 a 4))))
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/9 (/.f64 1 a))) 1/3)
(+.f64 a (-.f64 (/.f64 1/9 a) 1/3))
(+.f64 a (+.f64 (/.f64 1/9 a) -1/3))
(-.f64 (+.f64 a (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 a) 2)) (*.f64 1/9 (/.f64 1 a)))) 1/3)
(+.f64 a (-.f64 (fma.f64 -1/27 (pow.f64 (/.f64 1 a) 2) (/.f64 1/9 a)) 1/3))
(+.f64 a (+.f64 (fma.f64 -1/27 (/.f64 (/.f64 1 a) a) (/.f64 1/9 a)) -1/3))
(+.f64 (/.f64 1/9 a) (+.f64 (/.f64 (/.f64 -1/27 a) a) (+.f64 a -1/3)))
(+.f64 a (fma.f64 (/.f64 1 a) (+.f64 1/9 (/.f64 -1/27 a)) -1/3))
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/9 (/.f64 1 a))) 1/3)
(+.f64 a (-.f64 (/.f64 1/9 a) 1/3))
(+.f64 a (+.f64 (/.f64 1/9 a) -1/3))
(-.f64 (+.f64 a (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 -1 a) 2)) (*.f64 1/9 (/.f64 1 a)))) 1/3)
(+.f64 a (-.f64 (fma.f64 -1/27 (pow.f64 (/.f64 1 a) 2) (/.f64 1/9 a)) 1/3))
(+.f64 a (+.f64 (fma.f64 -1/27 (/.f64 (/.f64 1 a) a) (/.f64 1/9 a)) -1/3))
(+.f64 (/.f64 1/9 a) (+.f64 (/.f64 (/.f64 -1/27 a) a) (+.f64 a -1/3)))
(+.f64 a (fma.f64 (/.f64 1 a) (+.f64 1/9 (/.f64 -1/27 a)) -1/3))
(-.f64 (+.f64 1 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) 1)
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 a (/.f64 1 (/.f64 (+.f64 a 1/3) a)))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 a (*.f64 a (/.f64 1 (+.f64 a 1/3))))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 (*.f64 a a) (/.f64 1 (+.f64 a 1/3)))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) 1)
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 1 (*.f64 (/.f64 a (+.f64 a 1/3)) a))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) 2))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) 2) (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 1 (+.f64 a 1/3))))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 (/.f64 1 (+.f64 a 1/3)) (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (/.f64 (pow.f64 (cbrt.f64 a) 2) (+.f64 a 1/3)))
(/.f64 (cbrt.f64 (pow.f64 a 4)) (/.f64 (+.f64 a 1/3) (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (/.f64 a (sqrt.f64 (+.f64 a 1/3))) (/.f64 a (sqrt.f64 (+.f64 a 1/3))))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 (*.f64 a (neg.f64 a)) (/.f64 1 (+.f64 (neg.f64 a) -1/3)))
(/.f64 a (/.f64 (-.f64 -1/3 a) (neg.f64 a)))
(*.f64 (neg.f64 a) (/.f64 a (-.f64 -1/3 a)))
(*.f64 a (/.f64 (neg.f64 a) (-.f64 -1/3 a)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 (/.f64 a 1) (/.f64 a (+.f64 a 1/3)))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 (/.f64 a (+.f64 a 1/3)) a)
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a 4)) 1) (/.f64 (pow.f64 (cbrt.f64 a) 2) (+.f64 a 1/3)))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 (/.f64 1 (+.f64 a 1/3)) (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (/.f64 (pow.f64 (cbrt.f64 a) 2) (+.f64 a 1/3)))
(/.f64 (cbrt.f64 (pow.f64 a 4)) (/.f64 (+.f64 a 1/3) (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 a (cbrt.f64 (+.f64 a 1/3))))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (*.f64 a a) (cbrt.f64 (+.f64 a 1/3))))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))
(*.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 (*.f64 (cbrt.f64 (/.f64 a (-.f64 1 (/.f64 -1/3 a)))) (cbrt.f64 (pow.f64 a 4))) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (*.f64 a a) (sqrt.f64 (+.f64 a 1/3))))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a 4)) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (+.f64 a 1/3))))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 (/.f64 1 (+.f64 a 1/3)) (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (/.f64 (pow.f64 (cbrt.f64 a) 2) (+.f64 a 1/3)))
(/.f64 (cbrt.f64 (pow.f64 a 4)) (/.f64 (+.f64 a 1/3) (pow.f64 (cbrt.f64 a) 2)))
(*.f64 (/.f64 (*.f64 a a) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))
(*.f64 (/.f64 (*.f64 a a) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (fma.f64 a -1/3 1/9)))
(*.f64 (*.f64 a (/.f64 a (+.f64 (pow.f64 a 3) 1/27))) (fma.f64 a (+.f64 a -1/3) 1/9))
(*.f64 (/.f64 (*.f64 a a) (fma.f64 a a -1/9)) (+.f64 a -1/3))
(*.f64 (/.f64 (*.f64 a a) (fma.f64 a a -1/9)) (-.f64 a 1/3))
(*.f64 (*.f64 a (/.f64 a (fma.f64 a a -1/9))) (+.f64 a -1/3))
(pow.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) 1)
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(pow.f64 (pow.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)) 3)
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(pow.f64 (/.f64 a (sqrt.f64 (+.f64 a 1/3))) 2)
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(pow.f64 (/.f64 (+.f64 a 1/3) (*.f64 a a)) -1)
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(neg.f64 (/.f64 (*.f64 a a) (+.f64 (neg.f64 a) -1/3)))
(*.f64 (*.f64 a (neg.f64 a)) (/.f64 1 (+.f64 (neg.f64 a) -1/3)))
(/.f64 a (/.f64 (-.f64 -1/3 a) (neg.f64 a)))
(*.f64 (neg.f64 a) (/.f64 a (-.f64 -1/3 a)))
(*.f64 a (/.f64 (neg.f64 a) (-.f64 -1/3 a)))
(sqrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 (+.f64 a 1/3) 2)))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(log.f64 (exp.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a) 3))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (+.f64 a 1/3) 3)))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))
(exp.f64 (log.f64 (*.f64 (/.f64 a (+.f64 a 1/3)) a)))
(+.f64 1 (-.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 1))
(+.f64 (*.f64 a (/.f64 a (+.f64 a 1/3))) 0)
(*.f64 a (/.f64 a (+.f64 a 1/3)))
(/.f64 a (-.f64 1 (/.f64 -1/3 a)))

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiled 27 to 19 computations (29.6% saved)

series3.6s (4.4%)

Counts
4 → 36
Calls

18 calls:

TimeVariablePointExpression
496.0ms
a
@-inf
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
459.0ms
a
@-inf
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
445.0ms
a
@inf
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
427.0ms
a
@inf
(sqrt.f64 (+.f64 -1/3 a))
403.0ms
a
@-inf
(sqrt.f64 (+.f64 -1/3 a))
Compiler

Compiled 293682 to 235255 computations (19.9% saved)

rewrite73.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
921×pow1_binary64
857×add-log-exp_binary64
857×log1p-expm1-u_binary64
857×expm1-log1p-u_binary64
841×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
119231
2230831
Stop Event
1×node limit
Counts
4 → 81
Calls
Call 1
Inputs
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 -1/3 a)
(sqrt.f64 (+.f64 -1/3 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 -1/3 a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 -1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/3 a)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (pow.f64 (+.f64 -1/3 a) 1/4)) (pow.f64 (+.f64 -1/3 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 -1/27 (pow.f64 a 3)) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) (neg.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 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 -.f64 (+.f64 1 (sqrt.f64 (+.f64 -1/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (pow.f64 (+.f64 -1/3 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/3 a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 -1/3 a))))))))

simplify60.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
828×times-frac_binary64
651×log-prod_binary64
361×fma-neg_binary64
327×*-commutative_binary64
321×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01821104
14141017
21710945
36032945
Stop Event
1×node limit
Counts
117 → 101
Calls
Call 1
Inputs
(*.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 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
-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 1 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))) 1)
(pow.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 1)
(pow.f64 (pow.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))) 3)
(pow.f64 (sqrt.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))) 2)
(sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand))))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(cbrt.f64 (pow.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(log1p.f64 (expm1.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(exp.f64 (log.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(-.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 1)
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1)
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 3)
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 2)
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/3 a))))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 -1/3 a) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (pow.f64 rand 3)))
(expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(-.f64 (+.f64 1 (+.f64 -1/3 a)) 1)
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))
(*.f64 (+.f64 -1/3 a) 1)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 1 (+.f64 -1/3 a))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (pow.f64 (+.f64 -1/3 a) 1/4)) (pow.f64 (+.f64 -1/3 a) 1/4))
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(/.f64 1 (/.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/9 (*.f64 a (-.f64 a -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 -1/3 a))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))
(/.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) (neg.f64 (-.f64 -1/3 a)))
(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3))
(pow.f64 (+.f64 -1/3 a) 1)
(pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 2)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3)
(sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))
(log.f64 (exp.f64 (+.f64 -1/3 a)))
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3))
(expm1.f64 (log1p.f64 (+.f64 -1/3 a)))
(log1p.f64 (expm1.f64 (+.f64 -1/3 a)))
(exp.f64 (log.f64 (+.f64 -1/3 a)))
(fma.f64 1 a -1/3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 -1/3 a))) 1)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1)
(*.f64 1 (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (pow.f64 (+.f64 -1/3 a) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1/3 a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 1/2))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))
(pow.f64 (+.f64 -1/3 a) 1/2)
(pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 1)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) 3)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 -1/3 a)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 -1/3 a))))
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 -1/3 a))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 -1/3 a))))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
-1/3
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 1 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))) 1)
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(pow.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 1)
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(pow.f64 (pow.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 3) 1/3)
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(pow.f64 (cbrt.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))) 3)
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(pow.f64 (sqrt.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))) 2)
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(cbrt.f64 (pow.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) 3))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(expm1.f64 (log1p.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(log1p.f64 (expm1.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(exp.f64 (log.f64 (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 1)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3) 1/3)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (cbrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 3)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(pow.f64 (sqrt.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) 2)
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand rand)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(cbrt.f64 (pow.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 3))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 -1/3 a) 3/2)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (pow.f64 rand 3)))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(expm1.f64 (log1p.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(log1p.f64 (expm1.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(exp.f64 (log.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
(*.f64 rand (sqrt.f64 (+.f64 a -1/3)))
(-.f64 (+.f64 1 (+.f64 -1/3 a)) 1)
(+.f64 a -1/3)
(-.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(*.f64 (+.f64 -1/3 a) 1)
(+.f64 a -1/3)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 a -1/3)
(*.f64 1 (+.f64 -1/3 a))
(+.f64 a -1/3)
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))
(+.f64 a -1/3)
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 a -1/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 -1/3 a)))
(+.f64 a -1/3)
(*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 a -1/3)
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 a -1/3) 1/9))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 1/3 a) 1/9))
(*.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (pow.f64 (+.f64 -1/3 a) 1/4)) (pow.f64 (+.f64 -1/3 a) 1/4))
(+.f64 a -1/3)
(*.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 a -1/3)
(/.f64 1 (/.f64 (+.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 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 a -1/3) 1/9))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 1 (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/9 (*.f64 a (-.f64 a -1/3))))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 a -1/3) 1/9))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 -1/3 a))))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 a -1/3) 1/9))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))
(*.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (-.f64 a -1/3) 1/9))
(/.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a (+.f64 1/3 a) 1/9))
(/.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) (neg.f64 (-.f64 -1/3 a)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(/.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(/.f64 (fma.f64 a a -1/9) (+.f64 1/3 a))
(pow.f64 (+.f64 -1/3 a) 1)
(+.f64 a -1/3)
(pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 2)
(+.f64 a -1/3)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 2) 1/2)
(+.f64 a -1/3)
(pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/3)
(+.f64 a -1/3)
(pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3)
(+.f64 a -1/3)
(sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))
(+.f64 a -1/3)
(log.f64 (exp.f64 (+.f64 -1/3 a)))
(+.f64 a -1/3)
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3))
(+.f64 a -1/3)
(expm1.f64 (log1p.f64 (+.f64 -1/3 a)))
(+.f64 a -1/3)
(log1p.f64 (expm1.f64 (+.f64 -1/3 a)))
(+.f64 a -1/3)
(exp.f64 (log.f64 (+.f64 -1/3 a)))
(+.f64 a -1/3)
(fma.f64 1 a -1/3)
(+.f64 a -1/3)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)
(+.f64 a -1/3)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 -1/3 a))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(*.f64 1 (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (cbrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (+.f64 -1/3 a)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (pow.f64 (+.f64 -1/3 a) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 -1/3 a))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 a a))) (sqrt.f64 (-.f64 -1/3 a)))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (+.f64 1/9 (*.f64 a (+.f64 a 1/3)))))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a (-.f64 a -1/3) 1/9)))
(/.f64 (sqrt.f64 (+.f64 -1/27 (pow.f64 a 3))) (sqrt.f64 (fma.f64 a (+.f64 1/3 a) 1/9)))
(pow.f64 (+.f64 -1/3 a) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (pow.f64 (+.f64 -1/3 a) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(pow.f64 (pow.f64 (+.f64 -1/3 a) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(fabs.f64 (sqrt.f64 (+.f64 -1/3 a)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 -1/3 a))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 a -1/3)) 1))
(+.f64 (sqrt.f64 (+.f64 a -1/3)) 0)
(sqrt.f64 (+.f64 a -1/3))

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))
✓0.1b
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
0.2b
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
0.6b
(sqrt.f64 (*.f64 9 a))
Compiler

Compiled 37 to 26 computations (29.7% saved)

series3.5s (4.3%)

Counts
2 → 15
Calls

12 calls:

TimeVariablePointExpression
599.0ms
a
@-inf
(+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))
592.0ms
a
@-inf
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
592.0ms
a
@0
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
581.0ms
a
@inf
(+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))
578.0ms
a
@inf
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
Compiler

Compiled 299272 to 224711 computations (24.9% saved)

rewrite60.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
510×log-prod_binary64
479×prod-diff_binary64
341×pow-prod-down_binary64
275×fma-def_binary64
260×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01027
121423
2282723
Stop Event
1×node limit
Counts
2 → 116
Calls
Call 1
Inputs
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)) (fma.f64 a a (-.f64 (pow.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2) (*.f64 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)) (-.f64 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1) a) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) a) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a a)) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a a)) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) 1) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) 1) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 2) (cbrt.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 a)) (sqrt.f64 a) a)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (/.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.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 (cbrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 2)) (cbrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1) (/.f64 1 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1) (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1) (+.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)) (neg.f64 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) (neg.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) 1) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1) (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 rand) (/.f64 1 (*.f64 -3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 rand (pow.f64 (*.f64 a 9) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 rand) (pow.f64 (*.f64 a 9) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a 9) -1/4) (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (*.f64 a 9) 1/4)) 1)))))

simplify79.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
411×fma-def_binary64
330×fma-neg_binary64
321×unswap-sqr_binary64
282×*-commutative_binary64
282×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02752286
16432245
218332175
374382173
Stop Event
1×node limit
Counts
131 → 169
Calls
Call 1
Inputs
a
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a)))
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a)))
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
1
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
(+.f64 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(+.f64 a (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(+.f64 0 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))
(+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))) 1)
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)) (fma.f64 a a (-.f64 (pow.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2) (*.f64 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)) (-.f64 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1) a) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) a) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (*.f64 a (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1))
(/.f64 (*.f64 a (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 1)
(pow.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)) 3)
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)) 2)
(sqrt.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 2))
(log.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))
(log.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 1 (expm1.f64 a))))
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 3))
(expm1.f64 (log1p.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))
(log1p.f64 (expm1.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))
(exp.f64 (log.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))) 2))
(fma.f64 a 1 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(fma.f64 a 1 (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(fma.f64 1 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(fma.f64 1 a (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(fma.f64 1 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(fma.f64 rand (*.f64 (/.f64 1/3 (sqrt.f64 a)) a) a)
(fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a a)
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (*.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a) a)
(fma.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a a)) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(fma.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a a)) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) 1) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) 1) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(fma.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (*.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1) (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 1) (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 2) (cbrt.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) a)
(fma.f64 (sqrt.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) a)
(fma.f64 (*.f64 a rand) (/.f64 1/3 (sqrt.f64 a)) a)
(fma.f64 (*.f64 a (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(fma.f64 (*.f64 a (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) a)
(fma.f64 (*.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (sqrt.f64 a)) (sqrt.f64 a) a)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (/.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(*.f64 1 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(*.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 2)) (cbrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(*.f64 (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(*.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1) (/.f64 1 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1)))
(*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (/.f64 1 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1) (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))))
(/.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1))
(/.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1) (+.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)) (neg.f64 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) (neg.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) 1) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1))
(pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 1)
(pow.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1) (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)) -1)
(pow.f64 (/.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 2))
(log.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(cbrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(log1p.f64 (expm1.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(exp.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 2))
(fma.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1 1)
(fma.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))) 1)
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))) 1)
(fma.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1)
(fma.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))) 1)
(fma.f64 (neg.f64 rand) (/.f64 1 (*.f64 -3 (sqrt.f64 a))) 1)
(fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))) 1)
(fma.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))) 1)
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 rand (pow.f64 (*.f64 a 9) 1/6)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1)
(fma.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 rand) (pow.f64 (*.f64 a 9) 1/6)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 a)) 1)
(fma.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) 1)
(fma.f64 (pow.f64 (*.f64 a 9) -1/4) (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (*.f64 a 9) 1/4)) 1)
Outputs
a
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 a (/.f64 (sqrt.f64 (*.f64 a 9)) rand)))
(+.f64 a (*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand))
(fma.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand a)
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 a (/.f64 (sqrt.f64 (*.f64 a 9)) rand)))
(+.f64 a (*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand))
(fma.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand a)
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 a (/.f64 (sqrt.f64 (*.f64 a 9)) rand)))
(+.f64 a (*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand))
(fma.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand a)
(/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a)))
(/.f64 a (/.f64 (sqrt.f64 (*.f64 a 9)) rand))
(*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand)
(*.f64 rand (/.f64 a (sqrt.f64 (*.f64 a 9))))
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 a (/.f64 (sqrt.f64 (*.f64 a 9)) rand)))
(+.f64 a (*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand))
(fma.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand a)
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 a (/.f64 (sqrt.f64 (*.f64 a 9)) rand)))
(+.f64 a (*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand))
(fma.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand a)
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 a (/.f64 (sqrt.f64 (*.f64 a 9)) rand)))
(+.f64 a (*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand))
(fma.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand a)
(/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a)))
(/.f64 a (/.f64 (sqrt.f64 (*.f64 a 9)) rand))
(*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand)
(*.f64 rand (/.f64 a (sqrt.f64 (*.f64 a 9))))
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 a (/.f64 (sqrt.f64 (*.f64 a 9)) rand)))
(+.f64 a (*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand))
(fma.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand a)
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 a (/.f64 (sqrt.f64 (*.f64 a 9)) rand)))
(+.f64 a (*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand))
(fma.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand a)
(+.f64 a (/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a))))
(+.f64 a (/.f64 a (/.f64 (sqrt.f64 (*.f64 a 9)) rand)))
(+.f64 a (*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand))
(fma.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand a)
1
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(/.f64 rand (sqrt.f64 (*.f64 9 a)))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(+.f64 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(+.f64 a (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(+.f64 0 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))) 1)
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 3)) (fma.f64 a a (-.f64 (pow.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2) (*.f64 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 3)) (fma.f64 a a (*.f64 (*.f64 a (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) (-.f64 (*.f64 a (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) a))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) 3)) (fma.f64 (*.f64 a (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) (*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1)) (*.f64 a a)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 a (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) 3)) (fma.f64 a a (*.f64 (*.f64 a a) (fma.f64 (*.f64 rand (/.f64 rand a)) 1/9 (*.f64 rand (/.f64 -1/3 (sqrt.f64 a)))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 2)) (-.f64 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 a (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 2)) (-.f64 a (*.f64 a (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 a (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) 2)) (fma.f64 (*.f64 a rand) (/.f64 -1/3 (sqrt.f64 a)) a))
(/.f64 (*.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1) a) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1))
(/.f64 a (/.f64 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1) (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)))
(/.f64 a (/.f64 (fma.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1) (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)))
(*.f64 a (/.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1) (+.f64 (*.f64 (*.f64 rand (/.f64 rand a)) 1/9) (fma.f64 rand (/.f64 -1/3 (sqrt.f64 a)) 1))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) a) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 a (/.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (-.f64 1 (*.f64 (/.f64 rand a) (/.f64 rand 9)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) a)
(*.f64 a (/.f64 (fma.f64 (/.f64 rand a) (/.f64 rand 9) -1) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1)))
(*.f64 a (/.f64 (fma.f64 rand (/.f64 (/.f64 rand 9) a) -1) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1)))
(/.f64 (*.f64 a (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)) (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1))
(/.f64 a (/.f64 (fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1) (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)))
(/.f64 a (/.f64 (fma.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1) 1) (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1)))
(*.f64 a (/.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1) (+.f64 (*.f64 (*.f64 rand (/.f64 rand a)) 1/9) (fma.f64 rand (/.f64 -1/3 (sqrt.f64 a)) 1))))
(/.f64 (*.f64 a (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 a (/.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (-.f64 1 (*.f64 (/.f64 rand a) (/.f64 rand 9)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a))))) a)
(*.f64 a (/.f64 (fma.f64 (/.f64 rand a) (/.f64 rand 9) -1) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1)))
(*.f64 a (/.f64 (fma.f64 rand (/.f64 (/.f64 rand 9) a) -1) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1)))
(pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 1)
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(pow.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 2) 1/2)
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(pow.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 3) 1/3)
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(pow.f64 (cbrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)) 3)
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(pow.f64 (sqrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)) 2)
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(sqrt.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 2))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(log.f64 (pow.f64 (exp.f64 a) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(log.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (exp.f64 a)))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(log.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) (+.f64 1 (expm1.f64 a))))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(cbrt.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 3))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(expm1.f64 (log1p.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(log1p.f64 (expm1.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(exp.f64 (log.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)) 1))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a) 3)) 1/3))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))) 3))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a))) 2))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a 1 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a 1 (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 1 a (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 1 a (*.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
(*.f64 a (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))
(fma.f64 1 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(fma.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) a)
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(/.f64 (fma.f64 (pow.f64 rand 3) (pow.f64 (*.f64 a 9) -3/2) 1) (+.f64 (*.f64 (*.f64 rand (/.f64 rand a)) 1/9) (fma.f64 rand (/.f64 -1/3 (sqrt.f64 a)) 1)))
(pow.f64 (/.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) -1)
(/.f64 (-.f64 1 (*.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 rand a) (/.f64 rand 9))) (-.f64 1 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(/.f64 (fma.f64 (/.f64 rand a) (/.f64 rand 9) -1) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1))
(/.f64 (fma.f64 rand (/.f64 (/.f64 rand 9) a) -1) (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) -1))
(sqrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 2))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(log.f64 (exp.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1))))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(cbrt.f64 (pow.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1) 3))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(expm1.f64 (log1p.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(log1p.f64 (expm1.f64 (fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)))
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(exp.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(exp.f64 (log1p.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1))
(exp.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(exp.f64 (log1p.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 1/3))
(exp.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(exp.f64 (log1p.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 3))
(exp.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(exp.f64 (log1p.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))) 2))
(exp.f64 (log1p.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))))
(exp.f64 (log1p.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
(fma.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))) 1 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))) 1)
(fma.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 rand a) (/.f64 rand 9))) 1)
(fma.f64 (cbrt.f64 (*.f64 (/.f64 rand a) (/.f64 rand 9))) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 1)
(fma.f64 (cbrt.f64 (*.f64 rand (/.f64 (/.f64 rand 9) a))) (cbrt.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) 1)
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1)
(fma.f64 (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (cbrt.f64 (*.f64 (/.f64 rand a) (/.f64 rand 9))) 1)
(fma.f64 (cbrt.f64 (*.f64 (/.f64 rand a) (/.f64 rand 9))) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 1)
(fma.f64 (cbrt.f64 (*.f64 rand (/.f64 (/.f64 rand 9) a))) (cbrt.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) 1)
(fma.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) (sqrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 1/3 (sqrt.f64 a))) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 (neg.f64 rand) (/.f64 1 (*.f64 -3 (sqrt.f64 a))) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 (/.f64 1/3 (sqrt.f64 a)) rand 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 1/3 (/.f64 rand (sqrt.f64 a)) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (*.f64 3 (sqrt.f64 a))) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 3 (sqrt.f64 a))) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 rand (pow.f64 (*.f64 a 9) 1/6)) 1)
(+.f64 1 (/.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (pow.f64 (*.f64 a 9) 1/6)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 1/3 (/.f64 rand (sqrt.f64 a)))) 1)
(fma.f64 (cbrt.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (*.f64 a 9))) 1)
(fma.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 rand) (pow.f64 (*.f64 a 9) 1/6)) 1)
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 rand (pow.f64 (*.f64 a 9) 1/6)) 1)
(+.f64 1 (/.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (pow.f64 (*.f64 a 9) 1/6)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 3) (/.f64 (cbrt.f64 rand) (sqrt.f64 a)) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 (/.f64 (sqrt.f64 rand) 3) (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) 1)
(fma.f64 rand (/.f64 1/3 (sqrt.f64 a)) 1)
(fma.f64 (pow.f64 (*.f64 a 9) -1/4) (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (*.f64 a 9) 1/4)) 1)
(+.f64 1 (/.f64 (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)) (pow.f64 (*.f64 a 9) 1/4)))

localize25.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 a 1/3)
0.0b
(*.f64 (-.f64 a 1/3) rand)
0.6b
(sqrt.f64 (*.f64 9 a))
✓9.0b
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
Compiler

Compiled 57 to 39 computations (31.6% saved)

series2.1s (2.5%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
733.0ms
a
@0
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
684.0ms
a
@inf
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
635.0ms
a
@-inf
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
1.0ms
rand
@0
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
1.0ms
rand
@-inf
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
Compiler

Compiled 176796 to 123000 computations (30.4% saved)

rewrite63.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
552×log-prod_binary64
419×exp-prod_binary64
337×pow-prod-down_binary64
277×pow2_binary64
194×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
122215
2294215
Stop Event
1×node limit
Counts
1 → 63
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 a (/.f64 (*.f64 (sqrt.f64 a) 3) rand)) (/.f64 1/3 (/.f64 (*.f64 (sqrt.f64 a) 3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 a) 3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9))) (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) (sqrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (/.f64 1 (*.f64 -3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) 1) (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand 1) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (pow.f64 (*.f64 a 9) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (*.f64 a 9) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (*.f64 a 9) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4)) (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 9) -1/4) (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (*.f64 a 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (*.f64 a 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a -1/3) 3) (/.f64 rand (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand 3) (/.f64 (+.f64 a -1/3) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 3) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) rand))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (*.f64 a 9) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) rand))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))) (sqrt.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (*.f64 -3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (*.f64 a 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) rand)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) 1) 1))))))

simplify45.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
571×associate-/l*_binary64
510×distribute-rgt-in_binary64
506×distribute-lft-in_binary64
340×fma-def_binary64
289×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01781207
14561178
216021178
Stop Event
1×node limit
Counts
63 → 86
Calls
Call 1
Inputs
(+.f64 0 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))) 1)
(-.f64 (/.f64 a (/.f64 (*.f64 (sqrt.f64 a) 3) rand)) (/.f64 1/3 (/.f64 (*.f64 (sqrt.f64 a) 3) rand)))
(*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))
(*.f64 (+.f64 a -1/3) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 a) 3) rand)))
(*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) 1)
(*.f64 1 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9))) (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 (sqrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) (sqrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))
(*.f64 (*.f64 (+.f64 a -1/3) (neg.f64 rand)) (/.f64 1 (*.f64 -3 (sqrt.f64 a))))
(*.f64 (/.f64 1/3 (sqrt.f64 a)) (*.f64 (+.f64 a -1/3) rand))
(*.f64 (/.f64 (+.f64 a -1/3) 1) (/.f64 rand (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 rand 1) (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 a) 3)) rand)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (sqrt.f64 a) 3)))
(*.f64 (/.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 a 9))) (/.f64 rand (pow.f64 (*.f64 a 9) 1/6)))
(*.f64 (/.f64 rand (cbrt.f64 (*.f64 a 9))) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (*.f64 a 9) 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (*.f64 a 9) 1/6)))
(*.f64 (/.f64 (+.f64 a -1/3) (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)) (/.f64 (+.f64 a -1/3) (pow.f64 (*.f64 a 9) 1/4)))
(*.f64 (pow.f64 (*.f64 a 9) -1/4) (/.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (*.f64 a 9) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (pow.f64 (*.f64 a 9) 1/4)))
(*.f64 (/.f64 (+.f64 a -1/3) 3) (/.f64 rand (sqrt.f64 a)))
(*.f64 (/.f64 rand 3) (/.f64 (+.f64 a -1/3) (sqrt.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) 3) (/.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) 3) (/.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a)))
(pow.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) 1)
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9)) 1/2)
(pow.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) 2)
(pow.f64 (*.f64 3 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) rand))) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (*.f64 a 9) 3/2)) 1/3)
(pow.f64 (/.f64 (*.f64 3 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) rand))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))) (sqrt.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))
(neg.f64 (/.f64 (*.f64 (+.f64 a -1/3) rand) (*.f64 -3 (sqrt.f64 a))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2) (*.f64 a 9)))
(log.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (*.f64 a 9) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))
(exp.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 3 (/.f64 (sqrt.f64 a) (*.f64 (+.f64 a -1/3) rand)))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) 1) 1))
Outputs
(+.f64 0 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand 3)) (sqrt.f64 a))
(/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 3 rand))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a)))))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 a)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))))
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand 3)) (sqrt.f64 a))
(/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 3 rand))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))) 1)
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand 3)) (sqrt.f64 a))
(/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 3 rand))
(-.f64 (/.f64 a (/.f64 (*.f64 (sqrt.f64 a) 3) rand)) (/.f64 1/3 (/.f64 (*.f64 (sqrt.f64 a) 3) rand)))
(-.f64 (/.f64 a (/.f64 (sqrt.f64 a) (/.f64 rand 3))) (/.f64 1/3 (/.f64 (sqrt.f64 a) (/.f64 rand 3))))
(*.f64 rand (-.f64 (/.f64 a (*.f64 (sqrt.f64 a) 3)) (/.f64 1/9 (sqrt.f64 a))))
(*.f64 rand (+.f64 (/.f64 (/.f64 a 3) (sqrt.f64 a)) (/.f64 -1/9 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand 3)) (sqrt.f64 a))
(/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 3 rand))
(*.f64 (+.f64 a -1/3) (/.f64 1 (/.f64 (*.f64 (sqrt.f64 a) 3) rand)))
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand 3)) (sqrt.f64 a))
(/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 3 rand))
(*.f64 (+.f64 a -1/3) (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand 3)) (sqrt.f64 a))
(/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 3 rand))
(*.f64 rand (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand 3)) (sqrt.f64 a))
(/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 3 rand))
(*.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)))
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand 3)) (sqrt.f64 a))
(/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 3 rand))
(*.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))) 1)
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand 3)) (sqrt.f64 a))
(/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 3 rand))
(*.f64 1 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a))))
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand 3)) (sqrt.f64 a))
(/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 3 rand))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) rand)) (/.f64 1/3 (sqrt.f64 a))))
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand 3)) (sqrt.f64 a))
(/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 3 rand))
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(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand 3)) (sqrt.f64 a))
(/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 3 rand))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 a)))) 1) 1))
(*.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) rand)))
(/.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand 3)) (sqrt.f64 a))
(/.f64 (/.f64 (+.f64 a -1/3) (sqrt.f64 a)) (/.f64 3 rand))

eval381.0ms (0.5%)

Compiler

Compiled 18381 to 12572 computations (31.6% saved)

prune251.0ms (0.3%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1014101024
Fresh5510
Picked101
Done235
Total1022181040
Error
0b
Counts
1040 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
10.1b
(/.f64 (+.f64 a -1/3) (/.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (-.f64 1 (/.f64 1/9 (/.f64 (+.f64 a -1/3) (*.f64 rand rand))))))
51.5b
(/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a)))
43.6b
(/.f64 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))
✓19.7b
(-.f64 a 1/3)
2.3b
(+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
44.9b
(*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand)
43.0b
(*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a))
✓43.6b
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
44.9b
(*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)
63.4b
(*.f64 (*.f64 a a) (+.f64 3 (*.f64 a -9)))
43.6b
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
2.2b
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
✓2.3b
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
20.2b
(*.f64 a (*.f64 a (/.f64 1 (+.f64 a 1/3))))
62.0b
(*.f64 3 (*.f64 a a))
54.9b
(*.f64 1/3 (/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3)) (sqrt.f64 (-.f64 a 1/3))))
20.5b
a
63.0b
-1/3
Compiler

Compiled 193 to 145 computations (24.9% saved)

regimes178.0ms (0.2%)

Counts
51 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(*.f64 3 (*.f64 a a))
(/.f64 (*.f64 a a) (-.f64 a -1/3))
(*.f64 a (*.f64 a (/.f64 1 (+.f64 a 1/3))))
(*.f64 (*.f64 a a) (+.f64 3 (*.f64 a -9)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a))
(*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand)
(/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a)))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 -1/3 a) -1/2)) rand)
(/.f64 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(*.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) (+.f64 a -1/3))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(*.f64 (+.f64 a -1/3) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a))) a) 1/3)
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 a -1/3) 9))) rand)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3))) 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 a -1/3) (/.f64 (-.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (-.f64 1 (/.f64 1/9 (/.f64 (+.f64 a -1/3) (*.f64 rand rand))))))
(*.f64 rand (/.f64 (+.f64 a -1/3) (sqrt.f64 (fma.f64 a 9 -3))))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))
(/.f64 rand (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (+.f64 a -1/3)))
(/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) rand)))
(*.f64 1/3 (/.f64 (/.f64 (*.f64 (fma.f64 a a -1/9) rand) (+.f64 a 1/3)) (sqrt.f64 (-.f64 a 1/3))))
(*.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 a 1/3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (*.f64 rand (+.f64 a -1/3)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) rand)))
Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
Calls

6 calls:

32.0ms
a
29.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
27.0ms
(-.f64 a (/.f64 1 3))
27.0ms
(-.f64 a (/.f64 1 3))
24.0ms
rand
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
0.1b1(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
0.1b1(*.f64 (-.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))
0.1b1(-.f64 a (/.f64 1 3))
Compiler

Compiled 643 to 477 computations (25.8% saved)

regimes42.0ms (0.1%)

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

2 calls:

17.0ms
rand
16.0ms
a
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
Compiler

Compiled 317 to 222 computations (30% saved)

regimes44.0ms (0.1%)

Counts
33 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(*.f64 3 (*.f64 a a))
(/.f64 (*.f64 a a) (-.f64 a -1/3))
(*.f64 a (*.f64 a (/.f64 1 (+.f64 a 1/3))))
(*.f64 (*.f64 a a) (+.f64 3 (*.f64 a -9)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a))
(*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand)
(/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a)))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 -1/3 a) -1/2)) rand)
(/.f64 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(*.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) (+.f64 a -1/3))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(*.f64 (+.f64 a -1/3) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
Calls

2 calls:

18.0ms
a
17.0ms
rand
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
Compiler

Compiled 303 to 211 computations (30.4% saved)

regimes42.0ms (0.1%)

Counts
32 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(*.f64 3 (*.f64 a a))
(/.f64 (*.f64 a a) (-.f64 a -1/3))
(*.f64 a (*.f64 a (/.f64 1 (+.f64 a 1/3))))
(*.f64 (*.f64 a a) (+.f64 3 (*.f64 a -9)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a))
(*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand)
(/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a)))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 -1/3 a) -1/2)) rand)
(/.f64 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(*.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) (+.f64 a -1/3))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(*.f64 (+.f64 a -1/3) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
Calls

2 calls:

17.0ms
a
17.0ms
rand
Results
ErrorSegmentsBranch
0.2b1a
0.2b1rand
Compiler

Compiled 289 to 200 computations (30.8% saved)

regimes48.0ms (0.1%)

Counts
31 → 1
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(*.f64 3 (*.f64 a a))
(/.f64 (*.f64 a a) (-.f64 a -1/3))
(*.f64 a (*.f64 a (/.f64 1 (+.f64 a 1/3))))
(*.f64 (*.f64 a a) (+.f64 3 (*.f64 a -9)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a))
(*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand)
(/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a)))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 -1/3 a) -1/2)) rand)
(/.f64 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(*.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) (+.f64 a -1/3))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(*.f64 (+.f64 a -1/3) (/.f64 1/3 (/.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))
(*.f64 (+.f64 a -1/3) (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(/.f64 (+.f64 a -1/3) (*.f64 (/.f64 3 rand) (sqrt.f64 (+.f64 a -1/3))))
Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
Calls

2 calls:

24.0ms
a
16.0ms
rand
Results
ErrorSegmentsBranch
1.4b1a
1.4b1rand
Compiler

Compiled 275 to 189 computations (31.3% saved)

regimes55.0ms (0.1%)

Counts
25 → 2
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(*.f64 3 (*.f64 a a))
(/.f64 (*.f64 a a) (-.f64 a -1/3))
(*.f64 a (*.f64 a (/.f64 1 (+.f64 a 1/3))))
(*.f64 (*.f64 a a) (+.f64 3 (*.f64 a -9)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a))
(*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand)
(/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a)))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 -1/3 a) -1/2)) rand)
(/.f64 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(*.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) (+.f64 a -1/3))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
Outputs
(*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3))))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
Calls

2 calls:

34.0ms
a
15.0ms
rand
Results
ErrorSegmentsBranch
1.1b2a
2.2b1rand
Compiler

Compiled 203 to 136 computations (33% saved)

bsearch15.0ms (0%)

Algorithm
1×binary-search
Steps
TimeLeftRight
15.0ms
83427.75586684582
253367.48491622208
Results
14.0ms80×body256valid
Compiler

Compiled 167 to 133 computations (20.4% saved)

regimes55.0ms (0.1%)

Counts
24 → 2
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(*.f64 3 (*.f64 a a))
(/.f64 (*.f64 a a) (-.f64 a -1/3))
(*.f64 a (*.f64 a (/.f64 1 (+.f64 a 1/3))))
(*.f64 (*.f64 a a) (+.f64 3 (*.f64 a -9)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a))
(*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand)
(/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a)))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 -1/3 a) -1/2)) rand)
(/.f64 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(*.f64 (/.f64 rand (sqrt.f64 (*.f64 a 9))) (+.f64 a -1/3))
(*.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))
(+.f64 (*.f64 a (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))) a)
(/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (*.f64 9 a)))
Outputs
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
Calls

2 calls:

31.0ms
a
18.0ms
rand
Results
ErrorSegmentsBranch
1.1b2a
2.2b1rand
Compiler

Compiled 191 to 127 computations (33.5% saved)

bsearch14.0ms (0%)

Algorithm
1×binary-search
Steps
TimeLeftRight
14.0ms
83427.75586684582
253367.48491622208
Results
13.0ms80×body256valid
Compiler

Compiled 147 to 118 computations (19.7% saved)

regimes44.0ms (0.1%)

Counts
19 → 2
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(*.f64 3 (*.f64 a a))
(/.f64 (*.f64 a a) (-.f64 a -1/3))
(*.f64 a (*.f64 a (/.f64 1 (+.f64 a 1/3))))
(*.f64 (*.f64 a a) (+.f64 3 (*.f64 a -9)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a))
(*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand)
(/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a)))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 -1/3 a) -1/2)) rand)
(/.f64 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
Outputs
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a)))))
Calls

2 calls:

31.0ms
a
9.0ms
rand
Results
ErrorSegmentsBranch
1.1b2a
2.3b1rand
Compiler

Compiled 141 to 95 computations (32.6% saved)

bsearch12.0ms (0%)

Algorithm
1×binary-search
Steps
TimeLeftRight
11.0ms
83427.75586684582
253367.48491622208
Results
10.0ms80×body256valid
Compiler

Compiled 147 to 118 computations (19.7% saved)

regimes61.0ms (0.1%)

Counts
18 → 3
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(*.f64 3 (*.f64 a a))
(/.f64 (*.f64 a a) (-.f64 a -1/3))
(*.f64 a (*.f64 a (/.f64 1 (+.f64 a 1/3))))
(*.f64 (*.f64 a a) (+.f64 3 (*.f64 a -9)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a))
(*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(*.f64 (/.f64 a (sqrt.f64 (*.f64 a 9))) rand)
(/.f64 (*.f64 a rand) (sqrt.f64 (*.f64 9 a)))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 -1/3 a) -1/2)) rand)
(/.f64 1/3 (/.f64 (pow.f64 (+.f64 a -1/3) -1/2) rand))
Outputs
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
(-.f64 a 1/3)
(*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)
Calls

2 calls:

31.0ms
rand
26.0ms
a
Results
ErrorSegmentsBranch
18.2b2a
4.1b3rand
Compiler

Compiled 131 to 88 computations (32.8% saved)

bsearch44.0ms (0.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
4.554903866804124e+89
6.233672860105289e+93
18.0ms
-2.938484748771e+63
-4.586432794400559e+59
Results
40.0ms256×body256valid
Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes46.0ms (0.1%)

Counts
12 → 3
Calls
Call 1
Inputs
-1/3
a
(-.f64 a 1/3)
(*.f64 3 (*.f64 a a))
(/.f64 (*.f64 a a) (-.f64 a -1/3))
(*.f64 a (*.f64 a (/.f64 1 (+.f64 a 1/3))))
(*.f64 (*.f64 a a) (+.f64 3 (*.f64 a -9)))
(*.f64 (/.f64 1 (+.f64 a 1/3)) (*.f64 a a))
(*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
Outputs
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(-.f64 a 1/3)
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
Calls

2 calls:

22.0ms
a
21.0ms
rand
Results
ErrorSegmentsBranch
18.2b2a
4.1b3rand
Compiler

Compiled 81 to 53 computations (34.6% saved)

bsearch40.0ms (0%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
4.554903866804124e+89
6.233672860105289e+93
22.0ms
-2.938484748771e+63
-4.586432794400559e+59
Results
37.0ms256×body256valid
Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes49.0ms (0.1%)

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

2 calls:

29.0ms
rand
17.0ms
a
Results
ErrorSegmentsBranch
18.2b2a
4.2b3rand
Compiler

Compiled 73 to 47 computations (35.6% saved)

bsearch40.0ms (0%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
4.554903866804124e+89
6.233672860105289e+93
22.0ms
-2.938484748771e+63
-4.586432794400559e+59
Results
36.0ms256×body256valid
Compiler

Compiled 299 to 247 computations (17.4% saved)

regimes27.0ms (0%)

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

2 calls:

20.0ms
rand
5.0ms
a
Results
ErrorSegmentsBranch
19.7b1a
5.3b3rand
Compiler

Compiled 65 to 41 computations (36.9% saved)

bsearch44.0ms (0.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
4.554903866804124e+89
6.233672860105289e+93
26.0ms
-2.938484748771e+63
-4.586432794400559e+59
Results
40.0ms256×body256valid
Compiler

Compiled 267 to 215 computations (19.5% saved)

regimes14.0ms (0%)

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

2 calls:

8.0ms
rand
5.0ms
a
Results
ErrorSegmentsBranch
19.7b1a
19.7b1rand
Compiler

Compiled 52 to 31 computations (40.4% saved)

regimes7.0ms (0%)

Accuracy

Total -42.9b remaining (-208.8%)

Threshold costs -42.9b (-208.8%)

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

2 calls:

3.0ms
rand
3.0ms
a
Results
ErrorSegmentsBranch
20.5b1a
20.5b1rand
Compiler

Compiled 10 to 7 computations (30% saved)

simplify15.0ms (0%)

Algorithm
1×egg-herbie
Rules
19×*-commutative_binary64
8×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085367
1125367
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.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 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(if (<=.f64 a 92000) (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3)))) (*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))))
(if (<=.f64 a 112000) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) (*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))))
(if (<=.f64 a 100000) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))))
(if (<=.f64 rand -1550000000000000025739141277999800561048525536883930569220554752) (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3) (if (<=.f64 rand 54999999999999998043547987204697905647054195046560117650923133451965273229273060805030445056) (-.f64 a 1/3) (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)))
(if (<=.f64 rand -2649999999999999961501503948545462028358819232301710831316369408) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) (if (<=.f64 rand 5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))
(if (<=.f64 rand -12500000000000000437774960742895146630760039724788978200608768) (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (if (<=.f64 rand 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928) (-.f64 a 1/3) (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(if (<=.f64 rand -36000000000000001032432256106584441327263159295473035396513792) (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) (if (<=.f64 rand 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928) (-.f64 a 1/3) (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))
(-.f64 a 1/3)
a
-1/3
Outputs
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (+.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
(*.f64 (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 a 9))))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))
(*.f64 (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))))
(*.f64 (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a))) (+.f64 a -1/3))
(if (<=.f64 a 92000) (*.f64 1/3 (/.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (-.f64 a 1/3)))) (*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))))
(if (<=.f64 a 92000) (*.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))) (*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))))
(if (<=.f64 a 112000) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) (*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))))
(if (<=.f64 a 112000) (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) (*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 a)))))
(if (<=.f64 a 100000) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 9 a))))))
(if (<=.f64 a 100000) (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) (*.f64 a (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9))))))
(if (<=.f64 rand -1550000000000000025739141277999800561048525536883930569220554752) (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3) (if (<=.f64 rand 54999999999999998043547987204697905647054195046560117650923133451965273229273060805030445056) (-.f64 a 1/3) (*.f64 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) 1/3)))
(if (<=.f64 rand -1550000000000000025739141277999800561048525536883930569220554752) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 54999999999999998043547987204697905647054195046560117650923133451965273229273060805030445056) (+.f64 a -1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(if (<=.f64 rand -2649999999999999961501503948545462028358819232301710831316369408) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand)) (if (<=.f64 rand 5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))))
(if (<=.f64 rand -2649999999999999961501503948545462028358819232301710831316369408) (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3))) (if (<=.f64 rand 5000000000000000397811624306402485715781130700834552579693219986743965376100880567070883840) (+.f64 a -1/3) (*.f64 (*.f64 rand 1/3) (sqrt.f64 (+.f64 a -1/3)))))
(if (<=.f64 rand -12500000000000000437774960742895146630760039724788978200608768) (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (if (<=.f64 rand 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928) (-.f64 a 1/3) (*.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3))))
(if (<=.f64 rand -12500000000000000437774960742895146630760039724788978200608768) (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928) (+.f64 a -1/3) (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))
(if (<=.f64 rand -36000000000000001032432256106584441327263159295473035396513792) (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3) (if (<=.f64 rand 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928) (-.f64 a 1/3) (*.f64 (*.f64 rand (sqrt.f64 a)) 1/3)))
(if (<=.f64 rand -36000000000000001032432256106584441327263159295473035396513792) (*.f64 1/3 (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand 1549999999999999942396464101678215222562486441183855278970547155827247954938797963427708928) (+.f64 a -1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 a)))))
(-.f64 a 1/3)
(+.f64 a -1/3)
a
-1/3
Compiler

Compiled 277 to 211 computations (23.8% saved)

soundness330.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
1035×fma-def_binary64
742×fma-neg_binary64
518×associate-/r/_binary64
300×cancel-sign-sub-inv_binary64
277×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01524
13221
28219
320319
451019
596819
6146819
7241919
8361919
9410019
10425619
11429519
12429519
13484819
14484819
04295128
110424666
237143726
Stop Event
1×node limit
1×saturated
Compiler

Compiled 480 to 407 computations (15.2% saved)

end149.0ms (0.2%)

Compiler

Compiled 249 to 180 computations (27.7% saved)

Profiling

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