Details

Time bar (total: 11.8s)

analyze305.0ms (2.6%)

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)

sample2.3s (19.5%)

Results
2.0s8256×body256valid
158.0ms540×body256invalid
115.0ms620×body256infinite
Bogosity

preprocess227.0ms (1.9%)

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)

simplify137.0ms (1.2%)

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 → 2
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)))))

eval1.0ms (0%)

Compiler

Compiled 35 to 29 computations (17.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
▶0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
Compiler

Compiled 37 to 31 computations (16.2% saved)

localize28.0ms (0.2%)

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)

series15.0ms (0.1%)

Counts
4 → 50
Calls

18 calls:

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

rewrite88.0ms (0.7%)

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)))))
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(+.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 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 a 9 -3) -1/2) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))
((#(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))))))

simplify78.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
499×distribute-rgt-in_binary64
497×distribute-lft-in_binary64
449×associate-/r/_binary64
408×fma-def_binary64
379×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090969
1277935
2940906
34289787
47826787
Stop Event
1×node limit
Counts
246 → 232
Calls
Call 1
Inputs
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))
(+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))
(+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
-3
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
Outputs
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)))
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (*.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3))))
(fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 27/8 (/.f64 a (/.f64 (sqrt.f64 -3) a)) (sqrt.f64 -3)))
(+.f64 (sqrt.f64 -3) (*.f64 (/.f64 a (sqrt.f64 -3)) (+.f64 9/2 (/.f64 (*.f64 a -81/8) -3))))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))))
(fma.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3)) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))))
(+.f64 (*.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3))) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3))))
(fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 27/8 (/.f64 a (/.f64 (sqrt.f64 -3) a)) (sqrt.f64 -3))))
(+.f64 (*.f64 (/.f64 a (sqrt.f64 -3)) (+.f64 9/2 (/.f64 (*.f64 a -81/8) -3))) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5)) (sqrt.f64 -3)))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand)))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(*.f64 rand (+.f64 (sqrt.f64 -1/3) (/.f64 (*.f64 a -1/2) (sqrt.f64 -1/3))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a a) rand))) (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a (*.f64 a rand))))))
(fma.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (*.f64 a (*.f64 a (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 (*.f64 a rand) (*.f64 a (*.f64 a (*.f64 rand 9/4))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a a) rand))) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 3) rand) (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a (*.f64 a rand))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 (pow.f64 a 3) -1/2) (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9))))))
(fma.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (*.f64 a (*.f64 a (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))))) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 (*.f64 (pow.f64 a 3) -1/2) (/.f64 (sqrt.f64 -1/3) rand)) (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))))
(+.f64 (*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 -9/8 (sqrt.f64 -1/3)) (*.f64 a a)))) (*.f64 -1/2 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 (pow.f64 a 3) 45/8) a))))
(*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))
(fma.f64 rand (*.f64 -1/3 (sqrt.f64 -1/3)) -1/3)
(+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))
(fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(fma.f64 a (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 rand (/.f64 (sqrt.f64 -1/3) 1/6))) a))
(+.f64 (*.f64 a (/.f64 rand (/.f64 (sqrt.f64 -1/3) 1/6))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a -1/3)))
(+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1))))
(fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(fma.f64 a (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 a (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))))))))
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))) (+.f64 (*.f64 a (/.f64 rand (/.f64 (sqrt.f64 -1/3) 1/6))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a -1/3))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (*.f64 a (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (*.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (fma.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand) (*.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)))) (fma.f64 a (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/6 (*.f64 (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (/.f64 rand (sqrt.f64 -1/3))))) (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 a (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))))))))))
(fma.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 rand 15/16) (sqrt.f64 -1/3)) (*.f64 (/.f64 -9/8 (sqrt.f64 -1/3)) rand)) (fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))) (+.f64 (*.f64 a (/.f64 rand (/.f64 (sqrt.f64 -1/3) 1/6))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a -1/3)))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3))) 1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) -1/3))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
(*.f64 (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))) (+.f64 a -1/3))
-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)

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 86 to 73 computations (15.1% saved)

series19.0ms (0.2%)

Counts
4 → 42
Calls

18 calls:

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

rewrite96.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
723×prod-diff_binary64
653×log-prod_binary64
413×fma-def_binary64
247×expm1-udef_binary64
247×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01554
130749
2392843
Stop Event
1×node limit
Counts
4 → 194
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))
(/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (pow.f64 (fma.f64 9 a -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (cbrt.f64 (/.f64 1 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 9 a -3))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) -1) (pow.f64 (pow.f64 (fma.f64 9 a -3) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 9 a -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 9 a -3))) 1))))))
((#(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 (*.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (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 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 rand) 2) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 (fma.f64 9 a -3)) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)) (pow.f64 (fma.f64 9 a -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand 1) (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand -1) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))) (#(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 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 fma.f64 1 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 1 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)) (*.f64 -1/3 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) a) (*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) -1/3))))) 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-3) -1/2) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (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 (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -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 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -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 a -1/3))))))

simplify70.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
848×associate-/r*_binary64
463×distribute-rgt-in_binary64
461×distribute-lft-in_binary64
460×fma-def_binary64
443×associate-/r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01111032
1314999
2993983
34357799
Stop Event
1×node limit
Counts
236 → 234
Calls
Call 1
Inputs
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))))
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
Outputs
(*.f64 3 (sqrt.f64 -1/3))
(+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))
(fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3)))
(fma.f64 3 (sqrt.f64 -1/3) (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3))))
(fma.f64 -3/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3))))
(+.f64 (fma.f64 3 (sqrt.f64 -1/3) (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3)))) (*.f64 9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(fma.f64 3 (sqrt.f64 -1/3) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 9/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)))))
(fma.f64 3 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 3/2 (*.f64 -3/8 (/.f64 a -1/3)))))
(+.f64 (*.f64 -3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 3 (sqrt.f64 -1/3)))))
(fma.f64 -3/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 3 (sqrt.f64 -1/3)))))
(+.f64 (*.f64 9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) (fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3 (sqrt.f64 -1/3) (*.f64 3/2 (/.f64 a (sqrt.f64 -1/3))))))
(fma.f64 9/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 3/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 3 (sqrt.f64 -1/3) (*.f64 (/.f64 3/16 (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)))))
(fma.f64 3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (fma.f64 3 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 3/2 (*.f64 -3/8 (/.f64 a -1/3))))))
(*.f64 1/3 (sqrt.f64 -3))
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (*.f64 1/3 (sqrt.f64 -3)))
(fma.f64 1/3 (sqrt.f64 -3) (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))))
(fma.f64 1/3 (sqrt.f64 -3) (*.f64 (/.f64 -3/2 (sqrt.f64 -3)) a))
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a a))) (*.f64 1/3 (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a a)))))
(fma.f64 1/3 (sqrt.f64 -3) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (*.f64 -1/6 (*.f64 (*.f64 a a) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))))))
(fma.f64 1/3 (sqrt.f64 -3) (*.f64 a (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (*.f64 (/.f64 -27/8 (sqrt.f64 -3)) a))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (pow.f64 a 3)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 a 2)) (sqrt.f64 -3))) (*.f64 1/3 (sqrt.f64 -3)))))
(fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (pow.f64 a 3))) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 a a))) (*.f64 1/3 (sqrt.f64 -3)))))
(fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (pow.f64 a 3)) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 1/3 (sqrt.f64 -3) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a a))))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))) (fma.f64 1/3 (sqrt.f64 -3) (*.f64 -1/6 (*.f64 (*.f64 a a) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))))
(+.f64 (fma.f64 1/3 (sqrt.f64 -3) (*.f64 (/.f64 -3/2 (sqrt.f64 -3)) a)) (*.f64 (*.f64 a a) (+.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 (/.f64 -135/16 (sqrt.f64 -3)) a))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(*.f64 1/3 (*.f64 (sqrt.f64 -3) rand))
(*.f64 (sqrt.f64 -3) (*.f64 1/3 rand))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (/.f64 (*.f64 -3/2 (*.f64 a rand)) (sqrt.f64 -3)))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(*.f64 rand (fma.f64 1/3 (sqrt.f64 -3) (*.f64 (/.f64 -3/2 (sqrt.f64 -3)) a)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 (*.f64 a a) rand))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (/.f64 (sqrt.f64 -3) rand) (*.f64 a a))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 (*.f64 a a) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (/.f64 (sqrt.f64 -3) rand) -1/6)))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (*.f64 rand (*.f64 a (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (*.f64 (/.f64 -27/8 (sqrt.f64 -3)) a)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 (pow.f64 a 3) rand))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 (*.f64 a a) rand)))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (*.f64 (pow.f64 a 3) rand)) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (/.f64 (sqrt.f64 -3) rand) (*.f64 a a)))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (+.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.f64 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))))))
(+.f64 (*.f64 rand (fma.f64 1/3 (sqrt.f64 -3) (*.f64 (/.f64 -3/2 (sqrt.f64 -3)) a))) (*.f64 rand (*.f64 (*.f64 a a) (+.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 (/.f64 -135/16 (sqrt.f64 -3)) a)))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -1/3 a)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(*.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1))
(+.f64 -1/3 (*.f64 (*.f64 (sqrt.f64 -3) rand) -1/9))
(fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3)
(fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3)
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1)))
(fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 (sqrt.f64 -3) rand) -1/9)))
(fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3))
(+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 -1/3 a)) (*.f64 1/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))))))
(fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand))) (+.f64 -1/3 (*.f64 (*.f64 (sqrt.f64 -3) rand) -1/9))))
(fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 a (*.f64 a (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 rand (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))) (fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3)))
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 -1/3 a)) (*.f64 1/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand) (*.f64 1/18 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand))) (+.f64 -1/3 (*.f64 (*.f64 (sqrt.f64 -3) rand) -1/9)))))
(fma.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 -3) rand) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (*.f64 rand (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))) (/.f64 (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (/.f64 (/.f64 (sqrt.f64 -3) rand) 1/18))) (fma.f64 a (*.f64 a (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 rand (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))) (fma.f64 (*.f64 (sqrt.f64 -3) rand) -1/9 -1/3))))
(fma.f64 (pow.f64 a 3) (*.f64 rand (+.f64 (/.f64 45/16 (sqrt.f64 -3)) (/.f64 -27/8 (sqrt.f64 -3)))) (fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 -1/3 a)) (*.f64 1/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a)))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))

eval468.0ms (4%)

Compiler

Compiled 10275 to 8182 computations (20.4% saved)

prune169.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New45313466
Fresh000
Picked101
Done101
Total45513468
Error
0b
Counts
468 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
0.2b
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
0.8b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
▶19.1b
(-.f64 a 1/3)
19.7b
a
0.2b
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))
▶45.2b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
45.2b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
0.2b
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
52.0b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
0.1b
(+.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))
▶0.2b
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))
▶0.1b
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))
Compiler

Compiled 345 to 278 computations (19.4% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 9 a -3)
✓0.1b
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))
✓0.3b
(*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2))
✓0.6b
(pow.f64 (fma.f64 9 a -3) -1/2)
Compiler

Compiled 46 to 35 computations (23.9% saved)

series34.0ms (0.3%)

Counts
4 → 46
Calls

15 calls:

TimeVariablePointExpression
21.0ms
a
@0
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))
3.0ms
a
@inf
(pow.f64 (fma.f64 9 a -3) -1/2)
2.0ms
a
@0
(pow.f64 (fma.f64 9 a -3) -1/2)
1.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2))
1.0ms
rand
@0
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))

rewrite205.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
499×log-prod_binary64
398×exp-prod_binary64
319×pow-prod-down_binary64
316×pow2_binary64
219×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
126048
2300148
Stop Event
1×node limit
Counts
4 → 133
Calls
Call 1
Inputs
(pow.f64 (fma.f64 9 a -3) -1/2)
(*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2))
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))
(fma.f64 9 a -3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) -1/6) (cbrt.f64 (/.f64 1 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 9 a -3))) (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) (pow.f64 (fma.f64 9 a -3) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) -1) (pow.f64 (fma.f64 9 a -3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 9 a -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 a -3) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 9 a -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (fma.f64 9 a -3))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 9 a -3) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 9 a -3) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (fma.f64 9 a -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 9 a -3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) -1/4) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (pow.f64 (fma.f64 9 a -3) -1/2)) (*.f64 -1/3 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (pow.f64 (fma.f64 9 a -3) -1/2)) (*.f64 a (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) a) (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) -1/3) (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 9 a -3) -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 9 a -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 9 a -3) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 9 a -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (pow.f64 (fma.f64 9 a -3) -1/2)) (-.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) (pow.f64 (fma.f64 9 a -3) -1/2)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.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 (pow.f64 (fma.f64 9 a -3) -1/2) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (/.f64 1 (fma.f64 9 a -3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 9 a -3) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 9 a -3) -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 9 a -3) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3)))) 2)) (cbrt.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3))))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 2) (/.f64 1 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 9 a -3) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 9 a -3) -1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (fma.f64 9 a -3) -1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 -1/3 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) a (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) -1/3 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 a (pow.f64 (fma.f64 9 a -3) -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand)) 1) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) -1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)) 2) (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)) (sqrt.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand)) 3) (pow.f64 (+.f64 a -1/3) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand)) 2) (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand)) 2) (pow.f64 (+.f64 a -1/3) 2)) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) (neg.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)))) (sqrt.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))) (pow.f64 (exp.f64 (+.f64 a -1/3)) (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)) (+.f64 1 (expm1.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (*.f64 (+.f64 a -1/3) rand) a) -1/3)) 1) 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 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 (sqrt.f64 (fma.f64 9 a -3)) (sqrt.f64 (fma.f64 9 a -3)))))) (#(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 (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 (cbrt.f64 (fma.f64 9 a -3)) 3)))) (#(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 (exp.f64 1) (log.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 9 a -3))) 2)) (cbrt.f64 (log.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 9 a -3)))) (sqrt.f64 (log.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 a -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 a -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 9 a -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 9 a -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 9 a -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 9 a -3)) 1) 1))))))

simplify64.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
759×associate-/l*_binary64
596×fma-def_binary64
302×distribute-rgt-out_binary64
278×distribute-rgt-in_binary64
268×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01271273
13511172
29911011
34102823
Stop Event
1×node limit
Counts
179 → 183
Calls
Call 1
Inputs
(sqrt.f64 -1/3)
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -1/3)))))
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 135/16 (*.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -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 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2)))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) a)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 3))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) (pow.f64 a 2))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2)))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))))))
(*.f64 -1/3 (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a))
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a)))
(+.f64 (*.f64 -1/3 (sqrt.f64 -1/3)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (pow.f64 a 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) a) (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (pow.f64 a 3)))))
(-.f64 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))) 1/3)
(-.f64 (+.f64 (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))) 1/3)
(-.f64 (+.f64 (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 2) rand)) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))) 1/3)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 3) rand)) (+.f64 (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 2) rand)) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))) 1/3)
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
-3
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
Outputs
(sqrt.f64 -1/3)
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3))
(*.f64 (+.f64 (*.f64 3/2 a) 1) (sqrt.f64 -1/3))
(*.f64 (sqrt.f64 -1/3) (fma.f64 3/2 a 1))
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -1/3)))))
(+.f64 (fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)) (*.f64 27/8 (*.f64 (sqrt.f64 -1/3) (*.f64 a a))))
(fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (*.f64 (+.f64 (*.f64 (*.f64 27/8 a) a) 1) (sqrt.f64 -1/3)))
(*.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 3/2 a) (fma.f64 27/8 (*.f64 a a) 1)))
(+.f64 (*.f64 3/2 (*.f64 a (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 135/16 (*.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -1/3))))))
(+.f64 (fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3)) (fma.f64 135/16 (*.f64 (sqrt.f64 -1/3) (pow.f64 a 3)) (*.f64 27/8 (*.f64 (sqrt.f64 -1/3) (*.f64 a a)))))
(+.f64 (*.f64 (+.f64 (*.f64 3/2 a) 1) (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 (*.f64 27/8 a) a) (*.f64 135/16 (pow.f64 a 3)))))
(fma.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a a) (+.f64 (*.f64 a 135/16) 27/8)) (*.f64 (sqrt.f64 -1/3) (fma.f64 3/2 a 1)))
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(-.f64 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))) 1/3)
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(-.f64 (+.f64 (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 2) rand)) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))) 1/3)
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(+.f64 -1/3 (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (*.f64 rand (fma.f64 -1/3 (sqrt.f64 -1/3) (*.f64 a (*.f64 a (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3)))))))))
(fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 rand (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3))) (*.f64 -1/3 (sqrt.f64 -1/3))) -1/3))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 3) rand)) (+.f64 (*.f64 a (+.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 1 (sqrt.f64 -1/3))) (sqrt.f64 -1/3)) rand) 1)) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 2) rand)) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))) 1/3)
(+.f64 (fma.f64 (fma.f64 1/6 (/.f64 (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))) (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 3) rand) (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 (-.f64 (/.f64 (*.f64 1/6 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (sqrt.f64 -1/3)) (/.f64 1/2 (sqrt.f64 -1/3))) (*.f64 (*.f64 a a) rand) (*.f64 (*.f64 -1/3 rand) (sqrt.f64 -1/3))))) -1/3)
(+.f64 -1/3 (fma.f64 (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9) (sqrt.f64 -1/3)))) (*.f64 (pow.f64 a 3) rand) (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (fma.f64 (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))) (*.f64 a (*.f64 a rand)) (*.f64 -1/3 (*.f64 (sqrt.f64 -1/3) rand))))))
(+.f64 -1/3 (fma.f64 (+.f64 (/.f64 (fma.f64 1/6 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) 3/2) (sqrt.f64 -1/3)) (/.f64 (fma.f64 -1/2 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) -3/2) (sqrt.f64 -1/3))) (*.f64 (pow.f64 a 3) rand) (fma.f64 a (fma.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) rand 1) (*.f64 rand (fma.f64 -1/3 (sqrt.f64 -1/3) (*.f64 a (*.f64 a (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))))))))
(+.f64 -1/3 (+.f64 (*.f64 rand (fma.f64 -1/3 (sqrt.f64 -1/3) (*.f64 a (+.f64 (+.f64 (sqrt.f64 -1/3) (/.f64 1/6 (sqrt.f64 -1/3))) (*.f64 a (+.f64 (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3))) (*.f64 a (+.f64 (/.f64 15/16 (sqrt.f64 -1/3)) (/.f64 -9/8 (sqrt.f64 -1/3)))))))))) a))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (+.f64 -1/3 a) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
-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)

localize29.0ms (0.3%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series6.0ms (0.1%)

Counts
2 → 16
Calls

9 calls:

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

rewrite153.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
922×pow1_binary64
858×add-log-exp_binary64
858×log1p-expm1-u_binary64
858×expm1-log1p-u_binary64
842×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
119216
2231116
Stop Event
1×node limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 rand)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) 3/2) (pow.f64 (*.f64 1/3 rand) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 rand) 3) (pow.f64 (+.f64 -1/3 a) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 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)))))))

simplify72.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
848×times-frac_binary64
707×associate-/l*_binary64
431×fma-def_binary64
380×distribute-lft-out_binary64
360×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037270
1101264
2283264
3998261
46292248
57331248
Stop Event
1×node limit
Counts
40 → 34
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
Outputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (*.f64 rand a))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3)))))
(*.f64 rand (+.f64 (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) a)) (*.f64 1/3 (sqrt.f64 -1/3))))
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) a))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))))))
(fma.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (/.f64 rand 8) (*.f64 rand (+.f64 (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) a)) (*.f64 1/3 (sqrt.f64 -1/3)))))
(*.f64 rand (+.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 (/.f64 (*.f64 a -1/24) -1/3) 1/6)) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 1/48 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (fma.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/48 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (fma.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (/.f64 rand 8) (*.f64 rand (+.f64 (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) a)) (*.f64 1/3 (sqrt.f64 -1/3))))))
(*.f64 rand (+.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 (/.f64 (*.f64 a -1/24) -1/3) 1/6)) (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 a 1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (-.f64 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 1/3 (*.f64 rand (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 1/3 (*.f64 rand (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 1/3 (*.f64 rand (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 1/3 (*.f64 rand (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 1/3 (*.f64 rand (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 1/3 (*.f64 rand (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 1/3 (*.f64 rand (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 1/3 (*.f64 rand (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 1/3 (*.f64 rand (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 1/3 (*.f64 rand (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))))

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 48 to 34 computations (29.2% saved)

series5.0ms (0%)

Counts
2 → 8
Calls

12 calls:

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

rewrite89.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
861×pow1_binary64
801×add-log-exp_binary64
801×log1p-expm1-u_binary64
801×expm1-log1p-u_binary64
785×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
117421
2215321
Stop Event
1×node limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))

simplify57.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
799×fma-def_binary64
716×distribute-rgt-out_binary64
560×associate-*r*_binary64
476×associate-*l*_binary64
437×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
045240
1128228
2385228
31424222
46279196
Stop Event
1×node limit
Counts
32 → 39
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
Outputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (*.f64 rand 1/6)))
(*.f64 rand (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (*.f64 rand 1/6))))
(fma.f64 1/8 (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) a)) (*.f64 rand (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3)))))
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (*.f64 -1/24 (/.f64 a -1/3))))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 1/48 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 1/48 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/48 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 1/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a)))))))
(fma.f64 1/48 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (fma.f64 1/8 (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) a)) (*.f64 rand (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))))
(*.f64 rand (+.f64 (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (*.f64 -1/24 (/.f64 a -1/3))))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 (*.f64 1/2 a) rand) (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (*.f64 rand 1/2)))
(*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) -1/8)))
(fma.f64 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) 1/2 (fma.f64 3/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))) (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) a)) 3/8 (*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3))))))
(*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))))))
(fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/16 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) -1/8))))
(fma.f64 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) 1/16 (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) 1/2 (fma.f64 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) 1/16 (*.f64 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (*.f64 a a))) 3/8))))
(fma.f64 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) 1/16 (fma.f64 (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) a)) 3/8 (*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))))))
(*.f64 rand (+.f64 (+.f64 (sqrt.f64 -1/3) (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/2 (*.f64 -1/8 (/.f64 a -1/3))))))

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))
✓0.1b
(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
✓0.2b
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
✓0.7b
(/.f64 1 (-.f64 (*.f64 9 a) 3))
Compiler

Compiled 72 to 58 computations (19.4% saved)

series11.0ms (0.1%)

Counts
4 → 38
Calls

18 calls:

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

rewrite136.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
707×log-prod_binary64
563×prod-diff_binary64
486×fma-def_binary64
278×expm1-udef_binary64
278×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01553
133844
2436544
Stop Event
1×node limit
Counts
4 → 184
Calls
Call 1
Inputs
(/.f64 1 (-.f64 (*.f64 9 a) 3))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))
Outputs
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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 (*.f64 (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (cbrt.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (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 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 fma.f64 1 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) 2)) (cbrt.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) (sqrt.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3)) (/.f64 1 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2)) (/.f64 1 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 9 a -3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 9 a -3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (fma.f64 9 a -3) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 9 a -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 9 a -3)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 9 a -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 9 a -3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -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 9 a -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) a) (*.f64 (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1) -1/3))))) 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fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 -1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (-.f64 1/3 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 9 a -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3)))) (cbrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (sqrt.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) rand) (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 2))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -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 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) (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 (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))))

simplify75.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
574×distribute-lft-in_binary64
572×distribute-rgt-in_binary64
504×fma-def_binary64
409×associate-/r/_binary64
367×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0116997
1346937
21141909
34902744
Stop Event
1×node limit
Counts
222 → 227
Calls
Call 1
Inputs
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (*.f64 -1 a)) 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (+.f64 (*.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(sqrt.f64 -1/3)
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3))))))
(*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
Outputs
-1/3
(-.f64 (*.f64 -1 a) 1/3)
(fma.f64 -1 a -1/3)
(-.f64 -1/3 a)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (*.f64 -1 a)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (neg.f64 a)) -1/3)
(fma.f64 -3 (*.f64 a a) (fma.f64 -1 a -1/3))
(-.f64 (fma.f64 a (*.f64 a -3) -1/3) a)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 a 2)) (+.f64 (*.f64 -9 (pow.f64 a 3)) (*.f64 -1 a))) 1/3)
(+.f64 (fma.f64 -3 (*.f64 a a) (fma.f64 -9 (pow.f64 a 3) (neg.f64 a))) -1/3)
(+.f64 -1/3 (fma.f64 -3 (*.f64 a a) (fma.f64 -9 (pow.f64 a 3) (neg.f64 a))))
(fma.f64 a (*.f64 a -3) (fma.f64 -9 (pow.f64 a 3) (-.f64 -1/3 a)))
(fma.f64 a (*.f64 a (+.f64 -3 (*.f64 a -9))) (-.f64 -1/3 a))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4)))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4)))))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/243 (pow.f64 a 4))))
(+.f64 (/.f64 1/81 (pow.f64 a 3)) (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/243 (pow.f64 a 4)))))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4)))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 rand (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 (*.f64 a rand)) (sqrt.f64 -1/3)))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 a (/.f64 (*.f64 rand -1/2) (sqrt.f64 -1/3))))
(*.f64 rand (fma.f64 -1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a a) rand))) (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 a (*.f64 a rand)))) (sqrt.f64 -1/3))))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (*.f64 a (*.f64 a (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))))))))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 rand (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 a (*.f64 a (*.f64 a 9/4))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a a) rand))) (fma.f64 rand (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 3) rand) (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a (*.f64 a rand))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 -1/2 (/.f64 (sqrt.f64 -1/3) (*.f64 (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9) (*.f64 (pow.f64 a 3) rand)))))))
(fma.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (*.f64 a (*.f64 a (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))))) (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (pow.f64 a 3) (/.f64 (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) -1/2))))
(+.f64 (*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) -45/16))) (*.f64 rand (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 a (*.f64 a (*.f64 a 9/4))))))
(sqrt.f64 -1/3)
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))))
(+.f64 (sqrt.f64 -1/3) (/.f64 (*.f64 -1/2 a) (sqrt.f64 -1/3)))
(fma.f64 -1/2 (/.f64 a (sqrt.f64 -1/3)) (sqrt.f64 -1/3))
(+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3)))))
(+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 a a))))))
(fma.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a a))) (sqrt.f64 -1/3))
(fma.f64 -1/2 (fma.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a a) (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3))
(+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 a (*.f64 a (*.f64 a 9/4)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 -1/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 a 2)) (sqrt.f64 -1/3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (+.f64 (sqrt.f64 -1/3) (*.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) (*.f64 a a)))))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)) (fma.f64 -1/2 (+.f64 (/.f64 a (sqrt.f64 -1/3)) (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a a))) (sqrt.f64 -1/3)))
(fma.f64 -1/2 (*.f64 (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))) (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3))) (fma.f64 -1/2 (fma.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) (*.f64 a a) (/.f64 a (sqrt.f64 -1/3))) (sqrt.f64 -1/3)))
(+.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (+.f64 a (*.f64 a (*.f64 a 9/4)))) (+.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) -45/16)))
(*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/3))
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3)))) a (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/3)))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1))))
(+.f64 (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 -1/3 a)) (*.f64 (*.f64 a 1/6) (/.f64 rand (sqrt.f64 -1/3))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3)))) a (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/3))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 a (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)))))))))
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))) (+.f64 (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 -1/3 a)) (*.f64 (*.f64 a 1/6) (/.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3)))) a (fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (*.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/3)))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand) (/.f64 1/6 (/.f64 (/.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)))) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))) (*.f64 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))) (+.f64 9 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))) (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 a (+.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (*.f64 a (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 rand (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3))))))))))
(fma.f64 (pow.f64 a 3) (+.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) 15/16) (*.f64 (/.f64 -9/8 (sqrt.f64 -1/3)) rand)) (fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 3/8 (sqrt.f64 -1/3)) (/.f64 -1/2 (sqrt.f64 -1/3))))) (+.f64 (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 -1/3 a)) (*.f64 (*.f64 a 1/6) (/.f64 rand (sqrt.f64 -1/3))))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 a (-.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) 1/3))
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 -1/3 a))

eval278.0ms (2.4%)

Compiler

Compiled 10391 to 8294 computations (20.2% saved)

prune81.0ms (0.7%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New4776483
Fresh358
Picked101
Done134
Total48214496
Error
0b
Counts
496 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
0.2b
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
0.8b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
✓19.1b
(-.f64 a 1/3)
19.7b
a
✓45.2b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
0.2b
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
▶45.2b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶0.2b
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))
▶0.1b
(+.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))
45.2b
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
▶52.0b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
▶0.8b
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
61.1b
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
Compiler

Compiled 328 to 263 computations (19.8% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 9 a -3)
✓0.1b
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)
✓0.1b
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))
0.6b
(pow.f64 (fma.f64 9 a -3) -1/2)
Compiler

Compiled 60 to 47 computations (21.7% saved)

series20.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
10.0ms
rand
@0
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))
2.0ms
rand
@inf
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)
1.0ms
a
@-inf
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))
1.0ms
a
@inf
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))
1.0ms
a
@0
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))

rewrite82.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
503×log-prod_binary64
404×exp-prod_binary64
325×pow2_binary64
303×pow-prod-down_binary64
224×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
127330
2305530
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1))
(fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) (+.f64 a -1/3) (+.f64 a -1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 1) 1)))) (#(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) rand 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))))) (#(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) rand 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) (pow.f64 rand 3)) 1) (+.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 2) (-.f64 1 (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 2) 1) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 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) rand 1) 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) rand 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))) (sqrt.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) 1) 1))))))

simplify80.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
808×distribute-rgt-out_binary64
797×associate-+r+_binary64
558×associate-*l*_binary64
461×associate-*r*_binary64
334×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01581951
15221703
218281355
361651172
Stop Event
1×node limit
Counts
122 → 133
Calls
Call 1
Inputs
(*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 3/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -9/8 (*.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 27/8 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -45/16 (*.f64 rand (sqrt.f64 -1/3))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 3/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -9/8 (*.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
(*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a)
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 -1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a)))
(+.f64 (*.f64 1/6 (*.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 -1/3 (+.f64 1 (*.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 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a))))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 -1/72 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (+.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 -1/3 (+.f64 1 (*.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 (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a))))))))
(*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a)
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (*.f64 -1/18 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/72 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 -5/432 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (pow.f64 a 2))) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (*.f64 -1/18 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a))))))
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (*.f64 rand (sqrt.f64 -1/3)) 1)
(+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 3/2 (*.f64 a (*.f64 rand (sqrt.f64 -1/3))))))
(+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 3/2 (*.f64 a (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 27/8 (*.f64 (pow.f64 a 2) (*.f64 rand (sqrt.f64 -1/3)))))))
(+.f64 (*.f64 135/16 (*.f64 (pow.f64 a 3) (*.f64 rand (sqrt.f64 -1/3)))) (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 3/2 (*.f64 a (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 27/8 (*.f64 (pow.f64 a 2) (*.f64 rand (sqrt.f64 -1/3))))))))
(+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (+.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 3)))))))
(+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (+.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 3)))))))
1
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
Outputs
(*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2)) a (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2 1)) a))
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 rand (sqrt.f64 -1/3)))) a))
(fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (+.f64 1 (*.f64 (sqrt.f64 -1/3) (*.f64 1/2 rand))) a))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 3/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -9/8 (*.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2)) a (fma.f64 (*.f64 a a) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 3/8) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2 1)) a (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (*.f64 rand (*.f64 (sqrt.f64 -1/3) (*.f64 a a))) 3/8)))
(fma.f64 (+.f64 1 (*.f64 1/2 (*.f64 rand (sqrt.f64 -1/3)))) a (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 (*.f64 (*.f64 a a) 3/8)))))
(fma.f64 (+.f64 1 (*.f64 (sqrt.f64 -1/3) (*.f64 1/2 rand))) a (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 -1/3 (*.f64 (*.f64 a a) 3/8)))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 -1/2 (*.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 27/8 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -45/16 (*.f64 rand (sqrt.f64 -1/3))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 3/2 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 -9/8 (*.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
(fma.f64 (+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2)) a (fma.f64 (pow.f64 a 3) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 9/16) (fma.f64 (*.f64 a a) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 3/8) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 rand (sqrt.f64 -1/3)) -1/2 1)) a (fma.f64 (pow.f64 a 3) (*.f64 rand (*.f64 (sqrt.f64 -1/3) 9/16)) (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (*.f64 rand (*.f64 (sqrt.f64 -1/3) (*.f64 a a))) 3/8))))
(+.f64 (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 rand (sqrt.f64 -1/3)))) a)) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 (*.f64 a a) 3/8) (*.f64 (pow.f64 a 3) 9/16))))
(+.f64 (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (+.f64 1 (*.f64 (sqrt.f64 -1/3) (*.f64 1/2 rand))) a)) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (*.f64 a a) (+.f64 3/8 (*.f64 9/16 a)))))
(*.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 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))))
(*.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1))
(*.f64 a (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1))
(*.f64 a (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 -1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) a)))
(fma.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) (fma.f64 -1/3 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) (*.f64 a (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))))))
(fma.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) 1/6 (*.f64 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) (+.f64 -1/3 a)))
(fma.f64 (*.f64 (*.f64 rand (pow.f64 a -1/2)) (pow.f64 9 -1/2)) 1/6 (*.f64 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1) (+.f64 -1/3 a)))
(fma.f64 (*.f64 rand (pow.f64 (*.f64 a 9) -1/2)) 1/6 (*.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) (+.f64 -1/3 a)))
(+.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 -1/3 (+.f64 1 (*.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 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a))))))
(fma.f64 1/6 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))) (fma.f64 -1/18 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) (fma.f64 -1/3 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) (fma.f64 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))) a (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) 1/24)))))
(fma.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) 1/6 (fma.f64 -1/18 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))))) (+.f64 (*.f64 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1) (+.f64 -1/3 a)) (/.f64 (*.f64 1/24 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) (/.f64 a rand)))))
(+.f64 (fma.f64 (*.f64 (*.f64 rand (pow.f64 a -1/2)) (pow.f64 9 -1/2)) 1/6 (*.f64 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1) (+.f64 -1/3 a))) (*.f64 (*.f64 rand (/.f64 (pow.f64 a -1/2) (/.f64 a (pow.f64 9 -1/2)))) -1/72))
(+.f64 (fma.f64 (*.f64 rand (pow.f64 (*.f64 a 9) -1/2)) 1/6 (*.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) (+.f64 -1/3 a))) (*.f64 (*.f64 (/.f64 rand a) (pow.f64 (*.f64 a 9) -1/2)) -1/72))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)) (+.f64 (*.f64 -1/72 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (+.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 -1/3 (+.f64 1 (*.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 (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a))))))))
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(fma.f64 (*.f64 rand (pow.f64 (*.f64 a 9) -1/2)) 1/6 (+.f64 (+.f64 (*.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) (+.f64 -1/3 a)) (*.f64 (*.f64 (/.f64 rand a) (pow.f64 (*.f64 a 9) -1/2)) (+.f64 (/.f64 5/432 a) 1/24))) (*.f64 (*.f64 (/.f64 rand a) (pow.f64 (*.f64 a 9) -1/2)) (+.f64 -1/18 (/.f64 -1/72 a)))))
(*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a)
(*.f64 a (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))))
(*.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1))
(*.f64 a (fma.f64 rand (*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) 1))
(*.f64 a (fma.f64 rand (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) 1))
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(fma.f64 -1 (fma.f64 1/3 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) -1/6)) (*.f64 a (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))))))
(-.f64 (*.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1)) (fma.f64 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) 1/3 (*.f64 rand (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) -1/6))))
(fma.f64 a (fma.f64 rand (*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) 1) (-.f64 -1/3 (*.f64 rand (*.f64 (*.f64 1/6 (pow.f64 -9 -1/2)) (pow.f64 (/.f64 -1 a) 1/2)))))
(+.f64 (fma.f64 a (fma.f64 rand (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) 1) -1/3) (*.f64 rand (*.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) -1/6)))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (*.f64 -1/18 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)))))
(fma.f64 -1 (fma.f64 1/3 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) -1/6)) (fma.f64 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) a (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 a rand)) -1/72)))
(-.f64 (fma.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) (*.f64 -1/72 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))) (fma.f64 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) 1/3 (*.f64 rand (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) -1/6))))
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(fma.f64 a (fma.f64 rand (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) 1) (fma.f64 -1/72 (*.f64 (/.f64 rand a) (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2)) (+.f64 -1/3 (*.f64 rand (*.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) -1/6)))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/3 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/72 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) (*.f64 -5/432 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))) (pow.f64 a 2))) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)) a) (+.f64 (*.f64 -1/18 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a))))))
(fma.f64 -1 (fma.f64 1/3 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) -1/6)) (fma.f64 -1 (/.f64 (*.f64 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))) 1/432) (*.f64 a a)) (fma.f64 (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))) a (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 a rand)) -1/72))))
(-.f64 (-.f64 (fma.f64 a (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) (*.f64 -1/72 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))) (*.f64 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (/.f64 1/432 a))) (fma.f64 (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1) 1/3 (*.f64 rand (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) -1/6))))
(+.f64 (fma.f64 a (fma.f64 rand (*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) 1) (-.f64 -1/3 (*.f64 rand (*.f64 (*.f64 1/6 (pow.f64 -9 -1/2)) (pow.f64 (/.f64 -1 a) 1/2))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 rand (pow.f64 -9 -1/2)) (pow.f64 (/.f64 -1 a) 1/2)) -1/432) (*.f64 a a)) (/.f64 (*.f64 (*.f64 rand (pow.f64 -9 -1/2)) (pow.f64 (/.f64 -1 a) 1/2)) (/.f64 a -1/72))))
(+.f64 (+.f64 (fma.f64 a (fma.f64 rand (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) 1) -1/3) (*.f64 rand (*.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) -1/6))) (*.f64 (*.f64 (/.f64 rand a) (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2)) (-.f64 -1/72 (/.f64 1/432 a))))
(-.f64 a 1/3)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (+.f64 a (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) -1/3)
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (+.f64 a (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) -1/3)
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (+.f64 a (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) -1/3)
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(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (+.f64 a (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) -1/3)
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (+.f64 a (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) -1/3)
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (+.f64 a (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) -1/3)
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (+.f64 a (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) -1/3)
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (+.f64 a (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) -1/3)
(+.f64 -1/3 (fma.f64 (*.f64 rand (+.f64 -1/3 a)) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) a))
(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(+.f64 (+.f64 a (*.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))) -1/3)
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(*.f64 (fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1) (+.f64 -1/3 a))
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(fma.f64 rand (sqrt.f64 -1/3) 1)
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(+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 3/2 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) a) (*.f64 (*.f64 27/8 (*.f64 a a)) (*.f64 rand (sqrt.f64 -1/3))))))
(+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 a 3/2) (*.f64 (*.f64 a a) 27/8))))
(+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 rand (*.f64 (sqrt.f64 -1/3) (*.f64 a (+.f64 3/2 (*.f64 a 27/8))))))
(+.f64 1 (*.f64 (+.f64 (*.f64 a (+.f64 3/2 (*.f64 a 27/8))) 1) (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (*.f64 135/16 (*.f64 (pow.f64 a 3) (*.f64 rand (sqrt.f64 -1/3)))) (+.f64 1 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 3/2 (*.f64 a (*.f64 rand (sqrt.f64 -1/3)))) (*.f64 27/8 (*.f64 (pow.f64 a 2) (*.f64 rand (sqrt.f64 -1/3))))))))
(fma.f64 135/16 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) (+.f64 1 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 3/2 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) a) (*.f64 (*.f64 27/8 (*.f64 a a)) (*.f64 rand (sqrt.f64 -1/3)))))))
(+.f64 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 a 3/2) (*.f64 (*.f64 a a) 27/8)))) (fma.f64 135/16 (*.f64 (sqrt.f64 -1/3) (*.f64 rand (pow.f64 a 3))) 1))
(+.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 a (+.f64 3/2 (*.f64 a 27/8))) (*.f64 (pow.f64 a 3) 135/16))))
(+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))
(+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))))
(fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) 1)
(fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1)
(fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1)
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand)))
(+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))))))
(+.f64 1 (fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))))) (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))))))
(+.f64 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1) (*.f64 (/.f64 (pow.f64 a -1/2) (/.f64 a (pow.f64 9 -1/2))) (*.f64 rand 1/6)))
(+.f64 1 (*.f64 (+.f64 (/.f64 1/6 a) 1) (*.f64 rand (pow.f64 (*.f64 a 9) -1/2))))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand))))
(+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 (*.f64 a a) rand)) (*.f64 rand (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9)))))))
(+.f64 1 (fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))))) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (/.f64 a (/.f64 rand a))) (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))))))
(+.f64 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) 1) (*.f64 (*.f64 rand (/.f64 (pow.f64 a -1/2) (/.f64 a (pow.f64 9 -1/2)))) (+.f64 1/6 (/.f64 1/24 a))))
(+.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) (*.f64 (*.f64 (/.f64 rand a) (pow.f64 (*.f64 a 9) -1/2)) (+.f64 1/6 (/.f64 1/24 a))))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) a)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 2))) (+.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 9)))) rand) (pow.f64 a 3)))))))
(+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 a rand)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 (*.f64 a a) rand)) (fma.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) rand (*.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 9))) (/.f64 (pow.f64 a 3) rand)))))))
(+.f64 1 (fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))))) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (/.f64 a (/.f64 rand a))) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9))) (/.f64 (*.f64 (*.f64 5/432 rand) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 a) (log.f64 9)))) (pow.f64 a 3))))))
(+.f64 1 (+.f64 (fma.f64 rand (*.f64 (pow.f64 a -1/2) (pow.f64 9 -1/2)) (*.f64 (/.f64 (pow.f64 a -1/2) (/.f64 (pow.f64 a 3) (pow.f64 9 -1/2))) (*.f64 rand 5/432))) (*.f64 (*.f64 rand (/.f64 (pow.f64 a -1/2) (/.f64 a (pow.f64 9 -1/2)))) (+.f64 1/6 (/.f64 1/24 a)))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1/6 a) 1) (*.f64 rand (pow.f64 (*.f64 a 9) -1/2))) (*.f64 (*.f64 (/.f64 rand (*.f64 a a)) (pow.f64 (*.f64 a 9) -1/2)) (+.f64 (/.f64 5/432 a) 1/24))))
(+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))
(+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))))
(fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1)
(fma.f64 rand (*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) 1)
(fma.f64 rand (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) 1)
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand)))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 a rand)) (+.f64 1 (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))))))
(fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1))
(fma.f64 1/6 (*.f64 rand (/.f64 (pow.f64 -9 -1/2) (/.f64 a (pow.f64 (/.f64 -1 a) 1/2)))) (fma.f64 rand (*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) 1))
(+.f64 1 (*.f64 (+.f64 (/.f64 1/6 a) 1) (*.f64 rand (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 a rand)) (+.f64 1 (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 (*.f64 a a) rand)) (*.f64 rand (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a)))))))))
(+.f64 (fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) 1)) (*.f64 (/.f64 1/24 a) (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))
(+.f64 (fma.f64 1/6 (*.f64 rand (/.f64 (pow.f64 -9 -1/2) (/.f64 a (pow.f64 (/.f64 -1 a) 1/2)))) (fma.f64 rand (*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) 1)) (*.f64 (*.f64 rand (/.f64 (pow.f64 -9 -1/2) (/.f64 a (pow.f64 (/.f64 -1 a) 1/2)))) (/.f64 1/24 a)))
(+.f64 (*.f64 (*.f64 (/.f64 rand a) (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2)) (+.f64 1/6 (/.f64 1/24 a))) (fma.f64 rand (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) 1))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) a)) (+.f64 1 (+.f64 (*.f64 1/24 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 2))) (+.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (*.f64 5/432 (/.f64 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -9) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) rand) (pow.f64 a 3)))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 a rand)) (+.f64 1 (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 (*.f64 a a) rand)) (fma.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) rand (*.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -9) (neg.f64 (log.f64 (/.f64 -1 a))))) (/.f64 (pow.f64 a 3) rand)))))))
(+.f64 (fma.f64 1/24 (/.f64 rand (/.f64 (*.f64 a a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (/.f64 (*.f64 (*.f64 5/432 rand) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 3)))) (fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) 1))
(+.f64 (fma.f64 1/6 (*.f64 rand (/.f64 (pow.f64 -9 -1/2) (/.f64 a (pow.f64 (/.f64 -1 a) 1/2)))) (fma.f64 rand (*.f64 (pow.f64 -9 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) 1)) (*.f64 (*.f64 rand (*.f64 (/.f64 (pow.f64 -9 -1/2) a) (/.f64 (pow.f64 (/.f64 -1 a) 1/2) a))) (+.f64 (/.f64 5/432 a) 1/24)))
(+.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1/6 a) 1) (*.f64 rand (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2)))) (*.f64 (*.f64 rand (/.f64 (pow.f64 (/.f64 -9 (/.f64 -1 a)) -1/2) (*.f64 a a))) (+.f64 (/.f64 5/432 a) 1/24)))
1
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 18 computations (30.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
✓0.1b
(sqrt.f64 (/.f64 1/9 a))
✓0.2b
(*.f64 rand (sqrt.f64 (/.f64 1/9 a)))
✓0.4b
(/.f64 1/9 a)
Compiler

Compiled 43 to 31 computations (27.9% saved)

series12.0ms (0.1%)

Counts
4 → 26
Calls

18 calls:

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

rewrite83.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
565×log-prod_binary64
530×prod-diff_binary64
384×fma-def_binary64
320×pow2_binary64
222×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01237
126635
2348235
Stop Event
1×node limit
Counts
4 → 190
Calls
Call 1
Inputs
(/.f64 1/9 a)
(*.f64 rand (sqrt.f64 (/.f64 1/9 a)))
(sqrt.f64 (/.f64 1/9 a))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (sqrt.f64 (pow.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 a) 1/4) (pow.f64 (/.f64 1/9 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) (pow.f64 (pow.f64 a -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/9 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/9) (sqrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 a) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 a) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a 9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (/.f64 (*.f64 1/3 rand) (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 (/.f64 (*.f64 1/3 rand) (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 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1) (*.f64 (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 -1/3 (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (neg.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 -1/3 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(+.f64 a -1/3)) (sqrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (sqrt.f64 (+.f64 a -1/3))) (*.f64 (sqrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) rand) (/.f64 1/3 (sqrt.f64 a)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (/.f64 1/3 (sqrt.f64 a))) rand (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (cbrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)))) (sqrt.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (*.f64 1/3 rand) (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 (*.f64 1/3 rand) (sqrt.f64 a)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))))

simplify259.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
2343×fma-neg_binary64
514×fma-def_binary64
279×distribute-rgt-in_binary64
263×distribute-rgt-neg-in_binary64
230×unsub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
015402
135384
276384
3211362
4559353
5866353
61453353
72785353
84744353
95181353
105286353
115298353
125298353
135302353
146939353
156939353
166939353
176939353
Stop Event
1×saturated
Counts
216 → 198
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3)
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3)
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3)
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3)
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3)
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3)
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3)
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3)
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 (fma.f64 (*.f64 (*.f64 1/3 rand) (+.f64 a -1/3)) (sqrt.f64 (/.f64 1 a)) a) -1/3)
(+.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) a) -1/3)
(fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/3 rand) 1))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 a 1/3) rand)
0.1b
(sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))
0.7b
(/.f64 1 (-.f64 (*.f64 9 a) 3))
✓10.0b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
Compiler

Compiled 53 to 41 computations (22.6% saved)

series7.0ms (0.1%)

Counts
2 → 16
Calls

12 calls:

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

rewrite66.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
644×log-prod_binary64
364×pow2_binary64
254×pow1/3_binary64
252×expm1-udef_binary64
252×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01426
130623
2370623
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (-.f64 a 1/3) rand)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) rand) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (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) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (fma.f64 a 9 -3) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3) (pow.f64 (fma.f64 a 9 -3) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -3/2) (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) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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)) (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 (+.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 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 rand 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 fma.f64 a rand (*.f64 -1/3 rand))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand a (*.f64 rand -1/3))))))

simplify55.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
644×distribute-rgt-out_binary64
500×associate-+l+_binary64
493×associate-*l/_binary64
435×associate-*r/_binary64
426×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
044307
1140300
2498296
32151231
47716222
Stop Event
1×node limit
Counts
69 → 65
Calls
Call 1
Inputs
(*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (+.f64 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (+.f64 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))))
(*.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))
Outputs
(*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 rand (*.f64 (sqrt.f64 -1/3) -1/3))
(*.f64 rand (*.f64 -1/3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 rand 1/6) (sqrt.f64 -1/3))) (*.f64 rand (*.f64 (sqrt.f64 -1/3) -1/3)))
(+.f64 (*.f64 1/6 (*.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (sqrt.f64 -1/3) (*.f64 rand (+.f64 -1/3 a))))
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 a 1/6)) (*.f64 rand (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a))))
(*.f64 rand (+.f64 (/.f64 (*.f64 a 1/6) (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a))))
(+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (+.f64 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 (/.f64 rand (sqrt.f64 -1/3)) -1/2)) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)))))
(fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 (*.f64 rand -1/2) (sqrt.f64 -1/3))) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 rand 1/6) (sqrt.f64 -1/3))) (*.f64 rand (*.f64 (sqrt.f64 -1/3) -1/3))))
(fma.f64 (*.f64 a a) (fma.f64 (/.f64 rand (sqrt.f64 -1/3)) -1/2 (*.f64 (/.f64 (+.f64 1/2 (*.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) 1/6)) (sqrt.f64 -1/3)) rand)) (+.f64 (*.f64 1/6 (*.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (sqrt.f64 -1/3) (*.f64 rand (+.f64 -1/3 a)))))
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a))) (*.f64 a (+.f64 (*.f64 a (*.f64 rand (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3))))) (*.f64 rand (/.f64 1/6 (sqrt.f64 -1/3))))))
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3))))) (*.f64 rand (+.f64 (/.f64 (*.f64 a 1/6) (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a)))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (+.f64 (*.f64 a (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 (/.f64 rand (sqrt.f64 -1/3)) -1/2)) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)) (*.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (/.f64 (*.f64 rand -1/2) (sqrt.f64 -1/3))) (fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (/.f64 (*.f64 rand 1/6) (sqrt.f64 -1/3))) (*.f64 rand (*.f64 (sqrt.f64 -1/3) -1/3)))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/2 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3/2 (*.f64 (*.f64 -3/2 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) 1/6)))) (fma.f64 (*.f64 a a) (fma.f64 (/.f64 rand (sqrt.f64 -1/3)) -1/2 (*.f64 (/.f64 (+.f64 1/2 (*.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2) 1/6)) (sqrt.f64 -1/3)) rand)) (+.f64 (*.f64 1/6 (*.f64 a (/.f64 rand (sqrt.f64 -1/3)))) (*.f64 (sqrt.f64 -1/3) (*.f64 rand (+.f64 -1/3 a))))))
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a))) (*.f64 a (+.f64 (*.f64 rand (/.f64 1/6 (sqrt.f64 -1/3))) (*.f64 a (+.f64 (*.f64 rand (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3)))) (*.f64 a (+.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) 15/16) (*.f64 rand (/.f64 -9/8 (sqrt.f64 -1/3))))))))))
(fma.f64 (pow.f64 a 3) (*.f64 rand (+.f64 (/.f64 15/16 (sqrt.f64 -1/3)) (/.f64 -9/8 (sqrt.f64 -1/3)))) (fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) (/.f64 3/8 (sqrt.f64 -1/3))))) (*.f64 rand (+.f64 (/.f64 (*.f64 a 1/6) (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (+.f64 -1/3 a))))))
(*.f64 -1/3 rand)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(*.f64 a rand)
(*.f64 rand a)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(*.f64 a rand)
(*.f64 rand a)
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))
(+.f64 (*.f64 a rand) (*.f64 -1/3 rand))
(*.f64 rand (+.f64 a -1/3))
(*.f64 rand (+.f64 -1/3 a))

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))
✓0.1b
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))
✓0.2b
(/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))
✓0.3b
(*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))
Compiler

Compiled 68 to 51 computations (25% saved)

series15.0ms (0.1%)

Counts
4 → 56
Calls

21 calls:

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

rewrite185.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
878×prod-diff_binary64
360×fma-def_binary64
268×egg-rr
254×expm1-udef_binary64
254×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01763
136153
2481653
Stop Event
1×node limit
Counts
4 → 394
Calls
Call 1
Inputs
(*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))
(/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))
(+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 a -1/3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -3) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/3 (/.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 (/.f64 0 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3)))) (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1 (*.f64 (sqrt.f64 (+.f64 a -1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 rand rand)) (*.f64 (cbrt.f64 rand) (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 9))) (cbrt.f64 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (sqrt.f64 (+.f64 a -1/3))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1/3 (/.f64 rand (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand -1/3) (/.f64 1 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a -1/3))) (*.f64 rand -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 a -1/3) 9))) (/.f64 rand (cbrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 rand (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) -3) (/.f64 (cbrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) -3) (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 rand) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 rand rand)) (sqrt.f64 (+.f64 a -1/3))) (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))) (/.f64 rand (sqrt.f64 (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))) 1)))))

simplify72.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
805×associate-*l/_binary64
717×associate-/r*_binary64
466×fma-def_binary64
370×associate-/r/_binary64
349×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01051267
13011214
29621194
340551023
Stop Event
1×node limit
Counts
450 → 438
Calls
Call 1
Inputs
(*.f64 -3 (sqrt.f64 -1/3))
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -3 (sqrt.f64 -1/3))))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -3 (sqrt.f64 -1/3)))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
1
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))))
1
1
Outputs
(*.f64 -3 (sqrt.f64 -1/3))
(+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -3 (sqrt.f64 -1/3)))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 -3 (sqrt.f64 -1/3)))
(fma.f64 -3 (sqrt.f64 -1/3) (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3))))
(fma.f64 -3 (sqrt.f64 -1/3) (/.f64 -3/2 (/.f64 (sqrt.f64 -1/3) a)))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3))) (*.f64 -3 (sqrt.f64 -1/3))))
(fma.f64 3/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 -3 (sqrt.f64 -1/3))))
(+.f64 (fma.f64 -3 (sqrt.f64 -1/3) (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)))) (*.f64 -9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(fma.f64 -3 (sqrt.f64 -1/3) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)) (*.f64 -9/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)))))
(fma.f64 -3 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 -3/2 (*.f64 (/.f64 a -1/3) 3/8))))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 -3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 -3 (sqrt.f64 -1/3)))))
(fma.f64 3/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 -3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 -3 (sqrt.f64 -1/3)))))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) (fma.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 -3 (sqrt.f64 -1/3) (*.f64 -3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 -3/2 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 -9/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 -3 (sqrt.f64 -1/3) (*.f64 -3/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (fma.f64 -3 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 -3/2 (*.f64 (/.f64 a -1/3) 3/8)))) (/.f64 (*.f64 -3/16 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 -3))
(*.f64 (sqrt.f64 -3) (*.f64 1/3 rand))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))))
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -3)) (/.f64 (*.f64 -3/2 a) (sqrt.f64 -3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 (*.f64 a a) rand))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand))))))
(fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (*.f64 a a)))))
(fma.f64 -3/2 (*.f64 rand (/.f64 a (sqrt.f64 -3))) (*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -3)) (*.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 a a)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 81 (/.f64 (*.f64 9/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (pow.f64 (sqrt.f64 -3) 2))) (/.f64 (sqrt.f64 -3) (*.f64 (pow.f64 a 3) rand))) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 (*.f64 a a) rand)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (*.f64 (pow.f64 a 3) rand)) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (*.f64 (*.f64 a (*.f64 a rand)) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 rand (/.f64 a (sqrt.f64 -3))) (*.f64 rand (+.f64 (*.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 a a)) (*.f64 (/.f64 -135/16 (sqrt.f64 -3)) (pow.f64 a 3))))))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1))
(+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))
(fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3)
(fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3)
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (/.f64 (*.f64 1/2 rand) (sqrt.f64 -3))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1)))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3))
(+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 -1/3 a)) (*.f64 1/2 (*.f64 rand (/.f64 a (sqrt.f64 -3)))))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (/.f64 (*.f64 1/2 rand) (sqrt.f64 -3))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3)))
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 -1/3 a)) (*.f64 1/2 (*.f64 rand (/.f64 a (sqrt.f64 -3))))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (/.f64 (*.f64 9/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (pow.f64 (sqrt.f64 -3) 2))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (/.f64 (*.f64 1/2 rand) (sqrt.f64 -3))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 1/18 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) rand))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))))) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3))))
(fma.f64 (pow.f64 a 3) (*.f64 rand (+.f64 (/.f64 45/16 (sqrt.f64 -3)) (/.f64 -27/8 (sqrt.f64 -3)))) (fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 -1/3 a)) (*.f64 1/2 (*.f64 rand (/.f64 a (sqrt.f64 -3)))))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(+.f64 -1/3 a)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) a))
1
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand) 1)
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand) 1)
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand) 1)
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand) 1)
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand) 1)
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand) 1)
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand) 1)
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand) 1)
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) rand) 1)
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand) 1)
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 -3) 1)
(fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1)
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))))
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) 1))
(fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1))
(fma.f64 -3/2 (*.f64 rand (/.f64 a (sqrt.f64 -3))) (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 (*.f64 a a) rand))))))
(+.f64 1 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (*.f64 a (*.f64 a rand)) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) 1)))
(+.f64 (*.f64 rand (+.f64 (/.f64 (*.f64 -3/2 a) (sqrt.f64 -3)) (*.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 a a)))) (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 81 (/.f64 (*.f64 9/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (pow.f64 (sqrt.f64 -3) 2))) (/.f64 (sqrt.f64 -3) (*.f64 (pow.f64 a 3) rand))) (+.f64 1 (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 (*.f64 a a) rand))))))))
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (*.f64 (pow.f64 a 3) rand)) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand))))))) 1)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (pow.f64 a 3) (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (fma.f64 -1/6 (*.f64 (*.f64 a (*.f64 a rand)) (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3))) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) 1))))
(+.f64 (fma.f64 -3/2 (*.f64 rand (/.f64 a (sqrt.f64 -3))) (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1)) (*.f64 rand (+.f64 (*.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 a a)) (*.f64 (/.f64 -135/16 (sqrt.f64 -3)) (pow.f64 a 3)))))
1
1

eval842.0ms (7.2%)

Compiler

Compiled 31545 to 24755 computations (21.5% saved)

prune336.0ms (2.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New103961045
Fresh426
Picked101
Done347
Total1047121059
Error
0b
Counts
1059 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓45.2b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
9.7b
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 a -1/3)) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
0.9b
(-.f64 a (-.f64 1/3 (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))))
✓0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
▶0.2b
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
▶0.8b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
✓19.1b
(-.f64 a 1/3)
▶0.9b
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
▶52.6b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
▶0.9b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
✓45.2b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
19.7b
a
Compiler

Compiled 266 to 207 computations (22.2% saved)

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))
✓0.1b
(*.f64 (-.f64 a (/.f64 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 59 to 46 computations (22% saved)

series7.0ms (0.1%)

Counts
3 → 52
Calls

18 calls:

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

rewrite133.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
746×prod-diff_binary64
377×fma-def_binary64
268×log-div_binary64
248×expm1-udef_binary64
248×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01548
132346
2424146
Stop Event
1×node limit
Counts
3 → 209
Calls
Call 1
Inputs
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3))))
Outputs
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simplify85.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
932×times-frac_binary64
829×associate-/l*_binary64
405×fma-def_binary64
349×distribute-rgt-in_binary64
347×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0871171
12491120
28031104
33514937
Stop Event
1×node limit
Counts
261 → 246
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
1
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))))
1
1
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -3)))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 -3))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand))))
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -3)) (/.f64 a (/.f64 (sqrt.f64 -3) -3/2))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 a (*.f64 a (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (/.f64 (sqrt.f64 -3) rand) -1/6))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 rand (+.f64 (/.f64 a (/.f64 (sqrt.f64 -3) -3/2)) (/.f64 -27/8 (/.f64 (sqrt.f64 -3) (*.f64 a a))))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a))))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (*.f64 rand (pow.f64 a 3))) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (+.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (/.f64 (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3)))) (*.f64 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (*.f64 -1/6 (*.f64 (*.f64 rand (*.f64 a a)) (+.f64 (*.f64 (/.f64 405/8 (sqrt.f64 -3)) a) (/.f64 81/4 (sqrt.f64 -3)))))))
(*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1))
(*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1))
(+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))
(fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3)
(fma.f64 (*.f64 rand (sqrt.f64 -3)) -1/9 -1/3)
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (*.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1)))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3))
(+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) (*.f64 a (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))
(+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))) (fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3)))
(fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) (*.f64 a (*.f64 1/2 (/.f64 rand (sqrt.f64 -3))))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand))))))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 1/18 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) rand))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.f64 1/18 (*.f64 rand (/.f64 (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3))))) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))))) (fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3))))
(fma.f64 (pow.f64 a 3) (*.f64 rand (+.f64 (/.f64 45/16 (sqrt.f64 -3)) (/.f64 -27/8 (sqrt.f64 -3)))) (fma.f64 a (*.f64 a (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3))))) (+.f64 (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (+.f64 a -1/3)) (*.f64 a (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand) -1/3))
1
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 a -1/3))) rand) 1)
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1)
(fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1)
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)))))
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) 1))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) 1))
(fma.f64 -3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3))))))
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a)))))))
(+.f64 1 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) 1)))
(+.f64 (*.f64 rand (+.f64 (/.f64 a (/.f64 (sqrt.f64 -3) -3/2)) (/.f64 -27/8 (/.f64 (sqrt.f64 -3) (*.f64 a a))))) (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (*.f64 (pow.f64 a 3) rand)) (sqrt.f64 -3))) (+.f64 1 (+.f64 (*.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -3)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) (+.f64 1 (fma.f64 -3/2 (/.f64 (*.f64 a rand) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a)))))))))
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (sqrt.f64 -3)) (*.f64 rand (pow.f64 a 3))) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (*.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 a (*.f64 a rand))))))) 1)
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (*.f64 (pow.f64 a 3) (*.f64 rand (/.f64 (+.f64 81 (*.f64 -3/2 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3)))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (fma.f64 -1/6 (*.f64 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) 1))))
(+.f64 (fma.f64 -3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (*.f64 -1/6 (*.f64 (*.f64 rand (*.f64 a a)) (+.f64 (*.f64 (/.f64 405/8 (sqrt.f64 -3)) a) (/.f64 81/4 (sqrt.f64 -3)))))) (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1))
1
1

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 a 1/3) rand)
0.1b
(sqrt.f64 (/.f64 1/9 a))
0.4b
(/.f64 1/9 a)
✓10.0b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
Compiler

Compiled 31 to 21 computations (32.3% saved)

series5.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite94.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
496×log-prod_binary64
440×prod-exp_binary64
363×exp-prod_binary64
354×pow-prod-down_binary64
271×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
122115
2276015
Stop Event
1×node limit
Counts
1 → 40
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) (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) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/9 a) (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) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 a) (pow.f64 (*.f64 (+.f64 a -1/3) rand) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 rand) (+.f64 a -1/3)) (/.f64 1/3 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1) (log.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (log.f64 (/.f64 1/3 (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (log.f64 (/.f64 1/9 a)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (*.f64 (log.f64 (/.f64 1/9 a)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1) (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2) (log.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1) (log.f64 (*.f64 (+.f64 a -1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/9 a)) 1/2) (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 a))) 1) (*.f64 (log.f64 (*.f64 (+.f64 a -1/3) rand)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))) (*.f64 (log.f64 (+.f64 a -1/3)) 1)))))))

simplify22.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
77×associate-*l*_binary64
74×fma-def_binary64
71×distribute-lft-in_binary64
71×distribute-rgt-in_binary64
43×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
011216
123216
251216
3171192
4429192
5541192
Stop Event
1×saturated
Counts
52 → 42
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
Outputs
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a)))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a)))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a)))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a)))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a)))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a)))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a)))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a)))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a)))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a)))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a)))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 (*.f64 (+.f64 a -1/3) rand)) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 a)))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 41 to 25 computations (39% saved)

series11.0ms (0.1%)

Counts
4 → 40
Calls

21 calls:

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

rewrite90.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
628×prod-diff_binary64
559×log-prod_binary64
395×fma-def_binary64
306×pow2_binary64
213×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01145
124641
2336541
Stop Event
1×node limit
Counts
4 → 216
Calls
Call 1
Inputs
(/.f64 1/3 (sqrt.f64 a))
(*.f64 rand (/.f64 1/3 (sqrt.f64 a)))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 a))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/9 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 a))) (cbrt.f64 (/.f64 1/9 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 a)) (cbrt.f64 (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 a))) (sqrt.f64 (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/9 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 a) 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 1/9 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1/9 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/9 a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 a)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 a))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (*.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 a) (*.f64 1/3 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 rand) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 rand)) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 rand) 1) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 rand) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 rand) (pow.f64 a 1/4)) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 rand) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand -1/3) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) (*.f64 1/3 rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 (/.f64 1/9 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3)) (/.f64 1 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (/.f64 1 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (*.f64 -1/3 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) a) (*.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (+.f64 a -1/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (+.f64 a -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (-.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 rand (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3))) (*.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3))) (*.f64 (+.f64 1/3 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (*.f64 (fma.f64 a a (fma.f64 1/3 a 1/9)) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (*.f64 (+.f64 1/3 a) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3)) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1) (fma.f64 a a (fma.f64 1/3 a 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))) (/.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3)) (/.f64 1 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (/.f64 1 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3)) (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) (neg.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 1/9 a) (*.f64 rand rand) -1) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand -1) 1) (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (pow.f64 a -1/2) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/9 a)) rand 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (sqrt.f64 (/.f64 1/9 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/9 a)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/9 a))) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (sqrt.f64 (/.f64 1/9 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 a))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 1/9 a))) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (sqrt.f64 (/.f64 1/9 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 rand) (pow.f64 a -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand 1) (sqrt.f64 (/.f64 1/9 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 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 (sqrt.f64 (/.f64 1/9 a)) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 1/9 a)) (sqrt.f64 rand)) (sqrt.f64 rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (cbrt.f64 (/.f64 1/9 a))) (cbrt.f64 (sqrt.f64 (/.f64 1/9 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 rand (sqrt.f64 (sqrt.f64 (/.f64 1/9 a)))) (sqrt.f64 (sqrt.f64 (/.f64 1/9 a))) 1)))))

simplify263.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
2344×fma-neg_binary64
524×fma-def_binary64
279×distribute-rgt-in_binary64
262×distribute-rgt-neg-in_binary64
230×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016564
137528
281528
3220497
4562497
5878497
61462497
72789497
84738497
95190497
105298497
115308497
125308497
135312497
146949497
156949497
166949497
176949497
Stop Event
1×saturated
Counts
256 → 227
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
1
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
1
1
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
1
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
1
1

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 43 to 31 computations (27.9% saved)

series9.0ms (0.1%)

Counts
4 → 40
Calls

21 calls:

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

rewrite96.0ms (0.8%)

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
01245
126743
2361143
Stop Event
1×node limit
Counts
4 → 223
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a 9))
(/.f64 rand (sqrt.f64 (*.f64 a 9)))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 a) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 a) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)) (cbrt.f64 (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a 9)) (cbrt.f64 (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 9) 1/4) (pow.f64 (*.f64 a 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a 9)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a 9) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a 9) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a 9) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 a) 3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) (cbrt.f64 (exp.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (pow.f64 (*.f64 a 9) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (*.f64 a 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (cbrt.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (*.f64 a 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (sqrt.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (*.f64 (sqrt.f64 a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 9) -1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (*.f64 a 9))) (cbrt.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 a 9) 1/4)) (/.f64 rand (pow.f64 (*.f64 a 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (*.f64 a 9) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (*.f64 a 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 rand 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) (/.f64 (sqrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) (/.f64 rand 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 a) (/.f64 rand 3)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (*.f64 (sqrt.f64 a) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))) (/.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) 2)) (cbrt.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1)) (sqrt.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3)) (/.f64 1 (fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) -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 (sqrt.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) -1) 1) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3)) (fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3)) (+.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9))) (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3))) (neg.f64 (fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) -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 (sqrt.f64 a) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (*.f64 rand rand) (*.f64 a 9)) 1) (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) -1) 1) (+.f64 1 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (-.f64 1 (/.f64 (*.f64 rand rand) (*.f64 a 9)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (pow.f64 (*.f64 a 9) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 rand (*.f64 (sqrt.f64 a) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (*.f64 a 9) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (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 (sqrt.f64 a) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (*.f64 a 9) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) (sqrt.f64 (/.f64 rand (*.f64 (sqrt.f64 a) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 rand) (/.f64 1 (*.f64 (sqrt.f64 a) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a 9) -1/2) rand 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (*.f64 (sqrt.f64 a) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 a) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (*.f64 a 9))) (/.f64 rand (cbrt.f64 (*.f64 (sqrt.f64 a) 3))) 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 (sqrt.f64 a) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 a 9))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (*.f64 (sqrt.f64 a) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 rand 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 rand) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 a)) (/.f64 (sqrt.f64 rand) 3) 1)))))

simplify261.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
2344×fma-neg_binary64
524×fma-def_binary64
279×distribute-rgt-in_binary64
262×distribute-rgt-neg-in_binary64
230×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016564
137528
281528
3220497
4562497
5878497
61462497
72789497
84738497
95190497
105298497
115308497
125308497
135312497
146949497
156949497
166949497
176949497
Stop Event
1×saturated
Counts
263 → 234
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
1
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
1
1
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (fma.f64 1/3 a -1/9)))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 -1/9 (*.f64 1/3 a))) -1/3))
(*.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
1
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand 1)
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand) 1)
1
1

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))
✓0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
✓0.2b
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
✓0.3b
(*.f64 rand 1/3)
Compiler

Compiled 40 to 25 computations (37.5% saved)

series7.0ms (0.1%)

Counts
4 → 52
Calls

21 calls:

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

rewrite104.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
642×prod-diff_binary64
589×log-prod_binary64
366×fma-def_binary64
216×pow1/3_binary64
212×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01143
124741
2352539
Stop Event
1×node limit
Counts
4 → 231
Calls
Call 1
Inputs
(*.f64 rand 1/3)
(/.f64 (*.f64 rand 1/3) (sqrt.f64 a))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
(+.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 rand))) (cbrt.f64 (cbrt.f64 (exp.f64 rand))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 rand)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 rand 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 rand 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 rand rand) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 rand 1/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))))) (#(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 1/3 (/.f64 rand (sqrt.f64 a)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1 (*.f64 (sqrt.f64 a) 3)))))) (#(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 1/3 (/.f64 rand (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 rand (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 1/3) (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))) (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 1/3 (/.f64 (sqrt.f64 a) rand))))))) (#(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 1/3 (/.f64 (sqrt.f64 a) rand))) (sqrt.f64 (/.f64 1/3 (/.f64 (sqrt.f64 a) rand))))))) (#(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 rand 1) (/.f64 1/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.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 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 1/3 (cbrt.f64 a)) (/.f64 rand (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))))))) 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simplify307.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
2343×fma-neg_binary64
510×fma-def_binary64
275×distribute-rgt-in_binary64
263×distribute-rgt-neg-in_binary64
230×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017612
139576
281576
3214545
4557545
5878545
61444545
72772545
84684545
95127545
105235545
115248545
125248545
135252545
146889545
156889545
166889545
176889545
Stop Event
1×saturated
Counts
283 → 244
Calls
Call 1
Inputs
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
1
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
1
1
Outputs
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 rand)
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a)))) -1/3))
(*.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a)))) -1/3))
(*.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a)))) -1/3))
(*.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a)))) -1/3))
(*.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a)))) -1/3))
(*.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a)))) -1/3))
(*.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))))
(*.f64 rand (*.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/3 a -1/9)))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a)))) -1/3))
(*.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a)))) -1/3))
(*.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 a))))) 1/3)
(+.f64 a (-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3)))) 1/3))
(+.f64 a (fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand (+.f64 a -1/3))) -1/3))
(+.f64 a (fma.f64 (+.f64 a -1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a)))) -1/3))
(*.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1) (+.f64 a -1/3))
(*.f64 (+.f64 a -1/3) (fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1))
(*.f64 (+.f64 a -1/3) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1))
(*.f64 (-.f64 1/3 a) (fma.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand -1/3) -1))
1
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1)
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand)
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)))
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1)
(+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 a)) rand)))
(+.f64 1 (*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 1 a))) rand))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 a))) 1)
(fma.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 a)) 1)
1
1

eval1.4s (11.6%)

Compiler

Compiled 21346 to 15544 computations (27.2% saved)

prune200.0ms (1.7%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New108941093
Fresh213
Picked011
Done268
Total1093121105
Error
0b
Counts
1105 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓45.2b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
0.9b
(-.f64 a (-.f64 1/3 (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))))
✓0.9b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
52.7b
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a))
19.7b
a
✓45.2b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
✓0.8b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
✓19.1b
(-.f64 a 1/3)
✓0.1b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
52.6b
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
0.8b
(-.f64 a (-.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (/.f64 rand 3)))))
✓0.9b
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
Compiler

Compiled 138 to 106 computations (23.2% saved)

regimes80.0ms (0.7%)

Counts
31 → 1
Calls
Call 1
Inputs
a
a
a
a
(-.f64 a 1/3)
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(-.f64 a (-.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (/.f64 rand 3)))))
(-.f64 a (-.f64 1/3 (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 a -1/3)) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(+.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))
Outputs
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))
Calls

4 calls:

18.0ms
(-.f64 a (/.f64 1 3))
17.0ms
a
17.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
16.0ms
rand
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
0.1b1(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
0.1b1(-.f64 a (/.f64 1 3))
Compiler

Compiled 380 to 282 computations (25.8% saved)

regimes92.0ms (0.8%)

Counts
30 → 1
Calls
Call 1
Inputs
a
a
a
a
(-.f64 a 1/3)
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(-.f64 a (-.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (/.f64 rand 3)))))
(-.f64 a (-.f64 1/3 (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 a -1/3)) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(+.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))
Outputs
(+.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))
Calls

4 calls:

26.0ms
(-.f64 a (/.f64 1 3))
18.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
17.0ms
rand
17.0ms
a
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
0.1b1(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
0.1b1(-.f64 a (/.f64 1 3))
Compiler

Compiled 365 to 271 computations (25.8% saved)

regimes81.0ms (0.7%)

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

4 calls:

18.0ms
(-.f64 a (/.f64 1 3))
17.0ms
rand
17.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
17.0ms
a
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
0.1b1(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
0.1b1(-.f64 a (/.f64 1 3))
Compiler

Compiled 350 to 259 computations (26% saved)

regimes91.0ms (0.8%)

Counts
28 → 1
Calls
Call 1
Inputs
a
a
a
a
(-.f64 a 1/3)
(*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(/.f64 (*.f64 (*.f64 (+.f64 a -1/3) rand) 1/3) (sqrt.f64 a))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1/9 a)))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
(-.f64 a (-.f64 1/3 (/.f64 (+.f64 a -1/3) (/.f64 (sqrt.f64 a) (/.f64 rand 3)))))
(-.f64 a (-.f64 1/3 (*.f64 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a)) (+.f64 a -1/3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (neg.f64 rand) (*.f64 -3 (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (/.f64 1/9 a) (*.f64 rand rand))) (+.f64 a -1/3)) (-.f64 1 (/.f64 (*.f64 1/3 rand) (sqrt.f64 a))))
(fma.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand) (+.f64 -1/3 a))
(*.f64 rand (*.f64 (+.f64 -1/3 a) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))))
Outputs
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
Calls

4 calls:

32.0ms
(-.f64 a (/.f64 1 3))
16.0ms
rand
16.0ms
a
15.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
0.1b1(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
0.1b1(-.f64 a (/.f64 1 3))
Compiler

Compiled 337 to 249 computations (26.1% saved)

regimes24.0ms (0.2%)

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

2 calls:

10.0ms
rand
9.0ms
a
Results
ErrorSegmentsBranch
0.8b1a
0.8b1rand
Compiler

Compiled 113 to 77 computations (31.9% saved)

regimes22.0ms (0.2%)

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

2 calls:

10.0ms
a
9.0ms
rand
Results
ErrorSegmentsBranch
0.9b1a
0.9b1rand
Compiler

Compiled 101 to 68 computations (32.7% saved)

regimes22.0ms (0.2%)

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

2 calls:

9.0ms
rand
9.0ms
a
Results
ErrorSegmentsBranch
0.9b1a
0.9b1rand
Compiler

Compiled 89 to 60 computations (32.6% saved)

regimes49.0ms (0.4%)

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

2 calls:

22.0ms
rand
22.0ms
a
Results
ErrorSegmentsBranch
18.1b2a
4.6b3rand
Compiler

Compiled 77 to 52 computations (32.5% saved)

bsearch62.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
30.0ms
2.8722160264104987e+47
3.098292571858458e+52
31.0ms
-3.959536511689741e+105
-1.9298449340596344e+104
Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes32.0ms (0.3%)

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

2 calls:

15.0ms
a
15.0ms
rand
Results
ErrorSegmentsBranch
18.1b2a
4.6b3rand
Compiler

Compiled 31 to 19 computations (38.7% saved)

bsearch107.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
53.0ms
2.8722160264104987e+47
3.098292571858458e+52
54.0ms
-3.959536511689741e+105
-1.9298449340596344e+104
Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes32.0ms (0.3%)

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

2 calls:

24.0ms
rand
6.0ms
a
Results
ErrorSegmentsBranch
19.1b1a
11.8b3rand
Compiler

Compiled 23 to 13 computations (43.5% saved)

bsearch65.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
2.8722160264104987e+47
3.098292571858458e+52
33.0ms
-3.959536511689741e+105
-1.9298449340596344e+104
Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes11.0ms (0.1%)

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

2 calls:

6.0ms
a
4.0ms
rand
Results
ErrorSegmentsBranch
19.1b1a
19.1b1rand
Compiler

Compiled 15 to 8 computations (46.7% saved)

regimes10.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
4 → 1
Calls
Call 1
Inputs
a
a
a
a
Outputs
a
Calls

2 calls:

5.0ms
a
4.0ms
rand
Results
ErrorSegmentsBranch
19.7b1a
19.7b1rand
Compiler

Compiled 12 to 6 computations (50% saved)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
8×+-commutative_binary64
2×sub-neg_binary64
1×+-lft-identity_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061255
189255
290255
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))
(+.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(if (<=.f64 rand -3959536511689740937233868019811740612141959836812676141034443886350254341859000583408565197734815444500480) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 287221602641049865498216651714550270705744740352) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))
(if (<=.f64 rand -3959536511689740937233868019811740612141959836812676141034443886350254341859000583408565197734815444500480) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 287221602641049865498216651714550270705744740352) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -3959536511689740937233868019811740612141959836812676141034443886350254341859000583408565197734815444500480) (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) (if (<=.f64 rand 287221602641049865498216651714550270705744740352) (-.f64 a 1/3) (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))))
(-.f64 a 1/3)
a
Outputs
(fma.f64 (*.f64 (+.f64 a -1/3) (pow.f64 (fma.f64 9 a -3) -1/2)) rand (+.f64 a -1/3))
(fma.f64 (*.f64 (pow.f64 (fma.f64 9 a -3) -1/2) (+.f64 a -1/3)) rand (+.f64 a -1/3))
(+.f64 0 (*.f64 (+.f64 a -1/3) (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand 1) (+.f64 a -1/3))
(*.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 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))) -1/3)
(+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (sqrt.f64 (/.f64 1/9 a)))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (*.f64 rand 1/3) (sqrt.f64 a))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 a)))))
(if (<=.f64 rand -3959536511689740937233868019811740612141959836812676141034443886350254341859000583408565197734815444500480) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 287221602641049865498216651714550270705744740352) (-.f64 a 1/3) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))))
(if (<=.f64 rand -3959536511689740937233868019811740612141959836812676141034443886350254341859000583408565197734815444500480) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 287221602641049865498216651714550270705744740352) (+.f64 a -1/3) (*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3))))
(if (<=.f64 rand -3959536511689740937233868019811740612141959836812676141034443886350254341859000583408565197734815444500480) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 287221602641049865498216651714550270705744740352) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))))
(if (<=.f64 rand -3959536511689740937233868019811740612141959836812676141034443886350254341859000583408565197734815444500480) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 287221602641049865498216651714550270705744740352) (+.f64 a -1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))))
(if (<=.f64 rand -3959536511689740937233868019811740612141959836812676141034443886350254341859000583408565197734815444500480) (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a))) (if (<=.f64 rand 287221602641049865498216651714550270705744740352) (-.f64 a 1/3) (*.f64 (*.f64 rand a) (sqrt.f64 (/.f64 1/9 a)))))
(if (<=.f64 rand -3959536511689740937233868019811740612141959836812676141034443886350254341859000583408565197734815444500480) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 a rand)) (if (<=.f64 rand 287221602641049865498216651714550270705744740352) (+.f64 a -1/3) (*.f64 (sqrt.f64 (/.f64 1/9 a)) (*.f64 a rand))))
(-.f64 a 1/3)
(+.f64 a -1/3)
a
Compiler

Compiled 198 to 150 computations (24.2% saved)

soundness0.0ms (0%)

end114.0ms (1%)

Compiler

Compiled 176 to 127 computations (27.8% saved)

Profiling

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