Details

Time bar (total: 11.5s)

analyze86.0ms (0.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
0%50%50%4
0%50%50%5
6.2%31.2%62.5%6
9.4%28.1%62.5%7
14%17.2%68.8%8
14.8%16.4%68.8%9
17.6%10.1%72.3%10
18.1%9.2%72.7%11
19.6%5.5%74.9%12
Compiler

Compiled 23 to 20 computations (13% saved)

sample1.8s (16%)

Results
1.6s8256×body256valid
227.0ms1194×body256invalid

preprocess224.0ms (2%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 24 to 21 computations (12.5% saved)

simplify134.0ms (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
▶0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
▶0.1b
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
Compiler

Compiled 37 to 31 computations (16.2% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(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)))
✓0.4b
(sqrt.f64 (fma.f64 a 9 -3))
Compiler

Compiled 49 to 37 computations (24.5% saved)

series22.0ms (0.2%)

Counts
4 → 50
Calls

18 calls:

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

rewrite149.0ms (1.3%)

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))))))

simplify117.0ms (1%)

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)

localize161.0ms (1.4%)

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)))))
✓0.4b
(sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))
Compiler

Compiled 86 to 73 computations (15.1% saved)

series32.0ms (0.3%)

Counts
4 → 42
Calls

18 calls:

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

rewrite234.0ms (2%)

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))))))

simplify101.0ms (0.9%)

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))

eval540.0ms (4.7%)

Compiler

Compiled 10275 to 8182 computations (20.4% saved)

prune209.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New45610466
Fresh000
Picked101
Done101
Total45810468
Error
0b
Counts
468 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶47.2b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
▶0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))))
▶0.3b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
53.6b
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
▶0.1b
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
0.2b
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 a))) (*.f64 1/3 rand))))
47.5b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶16.4b
(-.f64 a 1/3)
17.0b
a
0.6b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
Compiler

Compiled 249 to 202 computations (18.9% saved)

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 9 a) 3)
✓0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))))
✓0.2b
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
✓0.4b
(sqrt.f64 (-.f64 (*.f64 9 a) 3))
Compiler

Compiled 57 to 44 computations (22.8% saved)

series58.0ms (0.5%)

Counts
4 → 41
Calls

18 calls:

TimeVariablePointExpression
38.0ms
a
@-inf
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
4.0ms
rand
@inf
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
3.0ms
a
@-inf
(sqrt.f64 (-.f64 (*.f64 9 a) 3))
2.0ms
rand
@0
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
2.0ms
a
@-inf
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))))

rewrite149.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
674×log-prod_binary64
534×prod-diff_binary64
438×fma-def_binary64
265×expm1-udef_binary64
265×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01441
131740
2423540
Stop Event
1×node limit
Counts
4 → 211
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 9 a) 3))
(/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))))
(-.f64 (*.f64 9 a) 3)
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 (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 (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 (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 1 1/2) (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 729 (pow.f64 a 3) -27)) (hypot.f64 (*.f64 9 a) (sqrt.f64 (fma.f64 a 27 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 81 (*.f64 a a) -9)) (sqrt.f64 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 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 (/.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 (pow.f64 (fma.f64 9 a -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 rand) (*.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 9 a -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))) (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 rand) (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) -1/2) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) 1) (/.f64 (cbrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) 1) (/.f64 (sqrt.f64 rand) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 9 a -3))) (/.f64 rand (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (cbrt.f64 (fma.f64 9 a -3))) (/.f64 (sqrt.f64 rand) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (fma.f64 9 a -3) 1/4)) (/.f64 rand (pow.f64 (fma.f64 9 a -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (pow.f64 (fma.f64 9 a -3) 1/4)) (/.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 9 a -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 pow.f64 (/.f64 (sqrt.f64 (fma.f64 9 a -3)) rand) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 rand (neg.f64 (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 rand rand) (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 9 a -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 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((#(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))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.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 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 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 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 9 a -3) -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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 -3 (*.f64 9 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 9 a -3))) (cbrt.f64 (exp.f64 (fma.f64 9 a -3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 9 a -3)))))))) (#(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 (fma.f64 9 a -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9 a -3)) (sqrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 a -3)) (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 a -3)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 2) (cbrt.f64 (fma.f64 9 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (*.f64 (pow.f64 (fma.f64 9 a -3) 1/4) (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 729 (pow.f64 a 3) -27) (/.f64 1 (fma.f64 81 (*.f64 a a) (fma.f64 a 27 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 81 (*.f64 a a) -9) (/.f64 1 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (pow.f64 (fma.f64 9 a -3) 1/4)) (pow.f64 (fma.f64 9 a -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 9 a -3)) (cbrt.f64 (fma.f64 9 a -3))) (cbrt.f64 (sqrt.f64 (fma.f64 9 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 81 (*.f64 a a) (fma.f64 a 27 9)) (fma.f64 729 (pow.f64 a 3) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 9 a 3) (fma.f64 81 (*.f64 a a) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 81 (*.f64 a a) (fma.f64 a 27 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 729 (pow.f64 a 3) -27) (fma.f64 81 (*.f64 a a) (-.f64 9 (*.f64 (*.f64 9 a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 81 (*.f64 a a) -9) (fma.f64 9 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 729 (pow.f64 a 3) -27)) (neg.f64 (fma.f64 81 (*.f64 a a) (fma.f64 a 27 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 81 (*.f64 a a) -9)) (neg.f64 (fma.f64 9 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 a -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 a -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 a -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9 a -3)) 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 fma.f64 9 a -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 9 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 a) 1 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9 a) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9 a)) (pow.f64 (cbrt.f64 (*.f64 9 a)) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 9 a)) 2) (cbrt.f64 (*.f64 9 a)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 9) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 a)) (*.f64 3 (sqrt.f64 a)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9 (sqrt.f64 a)) (sqrt.f64 a) -3)))))

simplify262.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
702×associate-/r*_binary64
485×distribute-rgt-in_binary64
483×distribute-lft-in_binary64
402×associate-/r/_binary64
402×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
091932
1275884
2930861
34081742
Stop Event
1×node limit
Counts
252 → 245
Calls
Call 1
Inputs
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)))
(+.f64 (*.f64 -81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 (*.f64 729/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 5))) (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 -1/3))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (*.f64 (pow.f64 a 2) rand)) (sqrt.f64 -1/3))) (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (sqrt.f64 -1/3))))))
(*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3)
-3
(*.f64 9 a)
(*.f64 9 a)
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 (*.f64 a -1/2) (/.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 rand (sqrt.f64 -1/3) (*.f64 -1/2 (fma.f64 (/.f64 a (sqrt.f64 -1/3)) rand (*.f64 a (*.f64 a (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))))))
(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 -1/2 (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) (*.f64 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 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))) (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 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))
(fma.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)) -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)))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a (+.f64 -1/3 (*.f64 (*.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 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3)) -1/3))
(+.f64 (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) (+.f64 a -1/3)) (*.f64 a (*.f64 (/.f64 1/6 (sqrt.f64 -1/3)) rand)))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3))))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (+.f64 -1/3 (*.f64 (*.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 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)))))))))
(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 a -1/3)) (*.f64 a (*.f64 (/.f64 1/6 (sqrt.f64 -1/3)) rand))))
(+.f64 (*.f64 (+.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2))))) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) rand) (sqrt.f64 -1/3))) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3))))) (*.f64 -1/3 (+.f64 1 (*.f64 rand (sqrt.f64 -1/3)))))))
(fma.f64 (fma.f64 rand (sqrt.f64 -1/3) (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3))))) a (fma.f64 (pow.f64 a 3) (fma.f64 1/6 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (+.f64 9 (*.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (pow.f64 (sqrt.f64 -1/3) 2)))))) (*.f64 -1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)))) (fma.f64 (*.f64 a a) (fma.f64 1/6 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)))) (+.f64 -1/3 (*.f64 (*.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 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) -1/3) 9)))) (fma.f64 (*.f64 a a) (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2)) (sqrt.f64 -1/3)) rand))) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(fma.f64 a (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)) (fma.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1) (*.f64 (*.f64 a a) (+.f64 (fma.f64 -1/2 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))))) (*.f64 a (fma.f64 -1/2 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 3 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1/3)) 2))) (*.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 (pow.f64 a 3) (+.f64 (*.f64 (/.f64 15/16 (sqrt.f64 -1/3)) rand) (*.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 a -1/3)) (*.f64 a (*.f64 (/.f64 1/6 (sqrt.f64 -1/3)) rand)))))
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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.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 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 a 9 -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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.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 -1/3 (fma.f64 (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 rand (+.f64 a -1/3)) a))
(*.f64 (+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1) (+.f64 a -1/3))
-3
(*.f64 9 a)
(*.f64 a 9)
(*.f64 9 a)
(*.f64 a 9)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite59.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1934
211654
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(-.f64 a 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 3) -1/27) (/.f64 1 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (+.f64 (pow.f64 a 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a 3) -1/27)) (neg.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)))))

simplify50.0ms (0.4%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023
Stop Event
1×saturated
Counts
33 → 32
Calls
Call 1
Inputs
-1/3
a
a
Outputs
-1/3
a
a

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series11.0ms (0.1%)

Counts
3 → 28
Calls

12 calls:

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

rewrite147.0ms (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
0920
119220
2231020
Stop Event
1×node limit
Counts
3 → 59
Calls
Call 1
Inputs
(*.f64 1/3 rand)
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(+.f64 -1/3 a)
Outputs
((#(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)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))) 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 (pow.f64 (exp.f64 1/3) rand) (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))) 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 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 expm1.f64 (log1p.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 -1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/9 (-.f64 -1/3 a)) (/.f64 (*.f64 a a) (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1/3 a)) (sqrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/3 a)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1/3 a)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2) (cbrt.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (*.f64 (pow.f64 (+.f64 -1/3 a) 1/4) (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (*.f64 a a)) (/.f64 1 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (pow.f64 (+.f64 -1/3 a) 1/4)) (pow.f64 (+.f64 -1/3 a) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (cbrt.f64 (+.f64 -1/3 a))) (cbrt.f64 (sqrt.f64 (+.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1/3 a) (-.f64 1/9 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/9 (*.f64 a (-.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 (*.f64 a a) (-.f64 1/9 (*.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (+.f64 1/9 (*.f64 a (-.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/9 (*.f64 a a))) (neg.f64 (-.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1/3 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1/3 a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1/3 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1/3 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)))))

simplify92.0ms (0.8%)

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
037309
1101303
2283303
3998300
46292287
57331287
Stop Event
1×node limit
Counts
87 → 73
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
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))))
-1/3
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
0.0b
(-.f64 a 1/3)
✓0.3b
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
✓0.6b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
Compiler

Compiled 48 to 34 computations (29.2% saved)

series13.0ms (0.1%)

Counts
3 → 23
Calls

18 calls:

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

rewrite151.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
490×log-prod_binary64
364×exp-prod_binary64
340×pow-prod-down_binary64
338×fma-def_binary64
264×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
120434
2275434
Stop Event
1×node limit
Counts
3 → 117
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 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 (exp.f64 1) (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (sqrt.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))))) (#(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 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 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 exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) 2)) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 a a)) (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) (-.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3)) (fma.f64 a a (-.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (*.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 a a)) (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 a a))) (neg.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (fma.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 3) (pow.f64 a 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) (neg.f64 a)) (-.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 a a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))) (sqrt.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 a -1/3))) rand)) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))) (+.f64 1 (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 rand 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand) 1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 rand) (sqrt.f64 (+.f64 a -1/3)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (cbrt.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand rand)))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1) rand a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (pow.f64 (cbrt.f64 rand) 2)) (cbrt.f64 rand) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 rand)) (sqrt.f64 rand) a)))))

simplify109.0ms (1%)

Algorithm
1×egg-herbie
Rules
738×distribute-rgt-out_binary64
616×associate-*r*_binary64
531×associate-*l*_binary64
460×associate-/r*_binary64
383×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
061492
1173458
2484456
31665444
46095413
57971413
Stop Event
1×node limit
Counts
140 → 143
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))))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
a
a
a
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
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 (/.f64 a (sqrt.f64 -1/3)) rand)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 a)))
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 a (/.f64 1/6 (sqrt.f64 -1/3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -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 1/8 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (*.f64 1/6 a))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/6 a) (*.f64 -1/24 (*.f64 (/.f64 a -1/3) a)))))
(*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 (*.f64 -1/24 (/.f64 a -1/3)) 1/6))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/6 (/.f64 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 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/6 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand 1/48)) (pow.f64 (sqrt.f64 -1/3) 5)))))
(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 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/6 a) (*.f64 -1/24 (*.f64 (/.f64 a -1/3) a))))))
(*.f64 rand (+.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 (*.f64 -1/24 (/.f64 a -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 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 a 1/2) (/.f64 (sqrt.f64 -1/3) rand)))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (/.f64 1/2 (sqrt.f64 -1/3)) (*.f64 rand a)))
(*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 1/2 (/.f64 a (sqrt.f64 -1/3)))))
(*.f64 rand (+.f64 (sqrt.f64 -1/3) (/.f64 1/2 (/.f64 (sqrt.f64 -1/3) a))))
(+.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 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 rand (sqrt.f64 -1/3) (fma.f64 3/8 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 (/.f64 1/2 (sqrt.f64 -1/3)) (*.f64 rand a))))
(fma.f64 3/8 (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) a)) (*.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 (*.f64 -1/8 (/.f64 a -1/3)) 1/2))))
(+.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 a (sqrt.f64 -1/3)) rand) 1/2 (fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) 1/16 (*.f64 3/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))))
(fma.f64 rand (sqrt.f64 -1/3) (fma.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) 1/2 (fma.f64 (*.f64 rand (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) 1/16 (*.f64 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) 3/8))))
(fma.f64 (*.f64 rand (/.f64 a (sqrt.f64 -1/3))) 1/2 (fma.f64 3/8 (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) a)) (*.f64 rand (+.f64 (sqrt.f64 -1/3) (*.f64 1/16 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)))))))
(*.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 (*.f64 -1/8 (/.f64 a -1/3)) 1/2))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (*.f64 rand (/.f64 1/6 (sqrt.f64 -1/3))) a))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a)))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 a (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 1/8 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)))))
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/6 a) (*.f64 -1/24 (*.f64 (/.f64 a -1/3) a))))))
(+.f64 a (*.f64 rand (+.f64 (*.f64 1/3 (sqrt.f64 -1/3)) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 (*.f64 -1/24 (/.f64 a -1/3)) 1/6)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)))) a) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 -1/24 (/.f64 (*.f64 rand (*.f64 a a)) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 (+.f64 1 (/.f64 (*.f64 1/6 rand) (sqrt.f64 -1/3))) a (*.f64 1/48 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5))))))
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (*.f64 1/8 (/.f64 (*.f64 rand (*.f64 a a)) (sqrt.f64 -1/3))))) (/.f64 (*.f64 1/48 (*.f64 rand (pow.f64 a 3))) (pow.f64 (sqrt.f64 -1/3) 5)))
(fma.f64 1/8 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 a (fma.f64 1/6 (/.f64 rand (sqrt.f64 -1/3)) 1) (/.f64 (*.f64 (pow.f64 a 3) (*.f64 rand 1/48)) (pow.f64 (sqrt.f64 -1/3) 5)))))
(+.f64 a (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 (/.f64 rand (sqrt.f64 -1/3)) (+.f64 (*.f64 1/6 a) (*.f64 -1/24 (*.f64 (/.f64 a -1/3) a)))))))
(+.f64 a (*.f64 rand (+.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 (*.f64 -1/24 (/.f64 a -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)))))))
a
a
a
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (sqrt.f64 (+.f64 a -1/3)) (*.f64 1/3 rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)))
(+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a)

localize85.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series39.0ms (0.3%)

Counts
4 → 58
Calls

18 calls:

TimeVariablePointExpression
26.0ms
a
@inf
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))
2.0ms
a
@-inf
(/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))
2.0ms
a
@-inf
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
1.0ms
a
@0
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.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)))))

rewrite129.0ms (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
01541
132340
2424140
Stop Event
1×node limit
Counts
4 → 252
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 a (/.f64 1 3))
(+.f64 a -1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1 (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3))) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (*.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 rand 1/3)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand -1/3) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 rand) 2) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (cbrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand 1) (/.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (cbrt.f64 (+.f64 a -1/3))) (/.f64 1/3 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (/.f64 (*.f64 rand 1/3) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (+.f64 a -1/3))) (/.f64 (sqrt.f64 (*.f64 rand 1/3)) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 rand (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 1/3 (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 rand 1/3)) 2) (pow.f64 (+.f64 a -1/3) 1/4)) (/.f64 (cbrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (/.f64 3 rand)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 rand 1/3) (neg.f64 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 rand)) (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) 2) (cbrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (sqrt.f64 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) 3)) (/.f64 1 (fma.f64 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))) (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 (pow.f64 (*.f64 rand 1/3) 2) (+.f64 a -1/3))) (/.f64 1 (-.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a -1/3) (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 a -1/3))))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)) (*.f64 -1/3 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 a 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a 3) (fma.f64 a a (fma.f64 a 1/3 1/9))) (/.f64 1/27 (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 1/9 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) 1/4) (*.f64 (pow.f64 (+.f64 a -1/3) 1/4) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) 1/4)) (pow.f64 (+.f64 a -1/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 a -1/3)) (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (fma.f64 a 1/3 1/9)) (+.f64 -1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3)) (+.f64 -1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 -1/27 (pow.f64 a 3)) (+.f64 1/9 (-.f64 (*.f64 a a) (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (fma.f64 a a (fma.f64 a 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 1) (fma.f64 a a (fma.f64 a 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) 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) 1) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)))))

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
932×times-frac_binary64
828×associate-/l*_binary64
506×associate-/r*_binary64
355×fma-def_binary64
349×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
080871
1225847
2725836
33322715
Stop Event
1×node limit
Counts
310 → 232
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)
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
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 a (/.f64 (sqrt.f64 -3) rand))))
(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 rand (/.f64 (sqrt.f64 -3) a))))
(*.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 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -1/6) (/.f64 (/.f64 (sqrt.f64 -3) rand) (*.f64 a a)))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) (*.f64 a (*.f64 a (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) (*.f64 rand -1/6))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 rand (+.f64 (/.f64 a (/.f64 (sqrt.f64 -3) -3/2)) (*.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 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) (fma.f64 -3/2 (/.f64 a (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a))))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) (fma.f64 -3/2 (*.f64 (/.f64 a (sqrt.f64 -3)) rand) (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -1/6) (/.f64 (/.f64 (sqrt.f64 -3) rand) (*.f64 a a))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) (*.f64 -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 rand (*.f64 a a)) (/.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 (/.f64 rand (sqrt.f64 -3)) a) (*.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)
(+.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 rand (sqrt.f64 -3)) -1/9 -1/3))
(+.f64 (*.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 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 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 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 1/3 (*.f64 rand (sqrt.f64 -3)) 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 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 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 (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 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 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (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 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 1/3 (*.f64 rand (sqrt.f64 -3)) 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 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (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 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))))
(*.f64 (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 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(+.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) -1/3))
-1/3
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
-1/3
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)

eval469.0ms (4.1%)

Compiler

Compiled 15227 to 11910 computations (21.8% saved)

prune124.0ms (1.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New7489757
Fresh415
Picked101
Done224
Total75512767
Error
0b
Counts
767 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓47.2b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
17.0b
a
▶41.5b
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
63.1b
-1/3
▶0.1b
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
▶0.1b
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))
59.8b
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
▶47.7b
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
✓16.4b
(-.f64 a 1/3)
47.5b
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
▶0.8b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
0.6b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
Compiler

Compiled 223 to 175 computations (21.5% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 a -1/3)
0.0b
(+.f64 -1/3 a)
✓0.1b
(*.f64 (+.f64 -1/3 a) (+.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 52 to 39 computations (25% saved)

series2.0ms (0%)

Counts
1 → 18
Calls

6 calls:

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

rewrite82.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
756×prod-diff_binary64
392×fma-def_binary64
303×log-div_binary64
239×expm1-udef_binary64
239×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01321
130220
2423220
Stop Event
1×node limit
Counts
1 → 111
Calls
Call 1
Inputs
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
Outputs
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(2) ((x fma.f64 (*.f64 (/.f64 rand (/.f64 (sqrt.f64 (+.f64 -1/3 a)) 1/3)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (cbrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))))

simplify58.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
761×distribute-rgt-in_binary64
423×associate-*l/_binary64
404×distribute-rgt-out_binary64
384×*-commutative_binary64
384×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060440
1163423
2513414
32319343
46704343
Stop Event
1×node limit
Counts
129 → 127
Calls
Call 1
Inputs
(*.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 -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 -1/9) (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 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 1/2 (*.f64 a (/.f64 rand (sqrt.f64 -3)))) (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (-.f64 a 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 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (*.f64 a a))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (fma.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2)) (*.f64 a a) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))
(fma.f64 a (*.f64 a (fma.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3)))
(fma.f64 (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3)))) (*.f64 a a) (+.f64 (*.f64 1/2 (*.f64 a (/.f64 rand (sqrt.f64 -3)))) (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (-.f64 a 1/3))))
(+.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 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) -1/6)) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (*.f64 a a)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) rand)) (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) -1/6)) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (fma.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2)) (*.f64 a a) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))))
(fma.f64 (pow.f64 a 3) (fma.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))) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) -1/6)) (fma.f64 a (*.f64 a (fma.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 -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 (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3)))) (*.f64 a a) (+.f64 (*.f64 1/2 (*.f64 a (/.f64 rand (sqrt.f64 -3)))) (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (-.f64 a 1/3)))))
(+.f64 (+.f64 (*.f64 1/2 (*.f64 a (/.f64 rand (sqrt.f64 -3)))) (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (-.f64 a 1/3))) (fma.f64 (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3)))) (*.f64 a a) (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -3)) (+.f64 (*.f64 rand 45/16) (*.f64 rand -27/8)))))
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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 16 to 9 computations (43.8% saved)

series5.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite46.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
628×pow1_binary64
580×add-log-exp_binary64
580×log1p-expm1-u_binary64
580×expm1-log1p-u_binary64
567×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11419
216109
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 a (*.f64 (*.f64 rand rand) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))))))

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07108
111108
218108
320108
Stop Event
1×saturated
Counts
23 → 12
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓28.3b
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
Compiler

Compiled 20 to 13 computations (35% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite67.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0711
11604
220964
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a a -1/9)) (*.f64 (sqrt.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 a a -1/9)) (/.f64 1 (+.f64 (neg.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a 1/3)) (fma.f64 a a -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (fma.f64 a a -1/9) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (pow.f64 (cbrt.f64 (+.f64 a 1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 a a -1/9)) (cbrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a 1/3))) (/.f64 (fma.f64 a a -1/9) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a a -1/9)) 2) (sqrt.f64 (+.f64 a 1/3))) (/.f64 (cbrt.f64 (fma.f64 a a -1/9)) (sqrt.f64 (+.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (pow.f64 a 3) 1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 a a -1/9) (fma.f64 a a -1/9)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 a a -1/9) (+.f64 (neg.f64 a) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 a a -1/9) 3) (pow.f64 (+.f64 a 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)))))

simplify19.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0539
1739
2839
Stop Event
1×saturated
Counts
50 → 41
Calls
Call 1
Inputs
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
Outputs
-1/3
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a)
✓0.3b
(*.f64 (sqrt.f64 a) rand)
✓0.5b
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
Compiler

Compiled 35 to 15 computations (57.1% saved)

series12.0ms (0.1%)

Counts
3 → 14
Calls

18 calls:

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

rewrite107.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
883×pow1_binary64
822×add-log-exp_binary64
822×log1p-expm1-u_binary64
822×expm1-log1p-u_binary64
804×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
117325
2226025
Stop Event
1×node limit
Counts
3 → 60
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) rand)
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 a) rand)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 a (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 rand) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 a 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 a) rand)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2) (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3)) (pow.f64 a 3)) (/.f64 1 (+.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) (*.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) (*.f64 a a)) (/.f64 1 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) (*.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))) (+.f64 (*.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3)) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a)) (-.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3)) (pow.f64 a 3)) (+.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) (*.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3)) (pow.f64 a 3)) (+.f64 (*.f64 a a) (-.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) (*.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) (*.f64 a a)) (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/27 (pow.f64 (*.f64 (sqrt.f64 a) rand) 3)) (pow.f64 a 3))) (neg.f64 (+.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) (*.f64 a (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand))) (*.f64 a a))) (neg.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (-.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 a) rand) 1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/9 (*.f64 a (*.f64 rand rand)))) (cbrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) (sqrt.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 a)) rand a)))))

simplify20.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
6×fma-def_binary64
5×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08129
113111
223111
329111
Stop Event
1×saturated
Counts
74 → 64
Calls
Call 1
Inputs
a
a
a
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
Outputs
a
a
a
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a)
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a)
(+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 a) rand) a)
(fma.f64 (sqrt.f64 a) (*.f64 1/3 rand) a)

localize110.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 a -1/3) -1/2)
✓0.1b
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))
✓0.3b
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))
✓0.3b
(*.f64 rand 1/3)
Compiler

Compiled 65 to 52 computations (20% saved)

series21.0ms (0.2%)

Counts
4 → 58
Calls

18 calls:

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

rewrite136.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
789×prod-diff_binary64
650×log-prod_binary64
464×fma-def_binary64
257×expm1-udef_binary64
257×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01646
133844
2404744
Stop Event
1×node limit
Counts
4 → 170
Calls
Call 1
Inputs
(*.f64 rand 1/3)
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))
(pow.f64 (+.f64 a -1/3) -1/2)
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 (pow.f64 (exp.f64 1/3) rand)) (cbrt.f64 (pow.f64 (exp.f64 1/3) rand)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) rand))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 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 (pow.f64 (*.f64 rand 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) rand))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 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 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (pow.f64 (+.f64 a -1/3) -1/2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (pow.f64 (+.f64 a -1/3) -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (pow.f64 (+.f64 a -1/3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (pow.f64 (+.f64 a -1/3) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (pow.f64 (+.f64 a -1/3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) -1) (pow.f64 (*.f64 rand 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) rand) (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 -1/2 (log.f64 (+.f64 a -1/3)) (log.f64 (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 -1/2 (log.f64 (+.f64 a -1/3)) (log.f64 (*.f64 rand 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1)) (cbrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1) 2)) (cbrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1)) (sqrt.f64 (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2)) 3) 1/27 1) (/.f64 1 (fma.f64 (*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2)) (fma.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1) (pow.f64 (*.f64 rand 1/3) 2))) (/.f64 1 (-.f64 1 (*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2)))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (*.f64 rand 1/3) (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (*.f64 rand 1/3) (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 rand 1/3) (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (*.f64 (*.f64 (*.f64 rand 1/3) (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (+.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 (pow.f64 (+.f64 a -1/3) -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 rand 1/3) (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (+.f64 a -1/3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 rand (*.f64 1/3 (pow.f64 (+.f64 a -1/3) -1/2)) 1)) (*.f64 -1/3 (fma.f64 rand 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(pow.f64 (+.f64 a -1/3) -1/2))) 2)) (cbrt.f64 (*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/4))) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 a -1/3) -1/4)) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1/3) (*.f64 rand (pow.f64 (+.f64 a -1/3) -1/2))) 1/3 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2)) (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 (*.f64 rand 1/3) (pow.f64 (+.f64 a -1/3) -1/2)) (sqrt.f64 (+.f64 a -1/3))) (sqrt.f64 (+.f64 a -1/3)) (+.f64 a -1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 a -1/3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1/2)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1)) (cbrt.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/4) (pow.f64 (+.f64 a -1/3) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) 2)) -1/2) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1/2) (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 a -1/3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 a -1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 a -1/3))) 1))))))

simplify79.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
762×associate-/r*_binary64
573×fma-def_binary64
370×distribute-rgt-in_binary64
367×distribute-lft-in_binary64
349×associate-/r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01371253
13621196
210821107
34462934
Stop Event
1×node limit
Counts
228 → 219
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 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)
(sqrt.f64 -3)
(+.f64 (sqrt.f64 -3) (*.f64 3/2 (*.f64 a (sqrt.f64 -3))))
(+.f64 (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (*.f64 3/2 (*.f64 a (sqrt.f64 -3)))))
(+.f64 (*.f64 135/16 (*.f64 (pow.f64 a 3) (sqrt.f64 -3))) (+.f64 (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (*.f64 3/2 (*.f64 a (sqrt.f64 -3))))))
(sqrt.f64 (/.f64 1 a))
(+.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))))
(+.f64 (sqrt.f64 (/.f64 1 a)) (+.f64 (*.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))) (*.f64 1/24 (sqrt.f64 (/.f64 1 (pow.f64 a 5))))))
(+.f64 (sqrt.f64 (/.f64 1 a)) (+.f64 (*.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))) (+.f64 (*.f64 1/24 (sqrt.f64 (/.f64 1 (pow.f64 a 5)))) (*.f64 5/432 (sqrt.f64 (/.f64 1 (pow.f64 a 7)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2)))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))))))
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 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 rand a) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (*.f64 (/.f64 (*.f64 -3/2 a) (sqrt.f64 -3)) rand))
(*.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 rand a) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a)))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) (*.f64 -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 rand (sqrt.f64 -3)) a) (*.f64 -1/6 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.f64 a a)))))
(fma.f64 -3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (*.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 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 rand a) (sqrt.f64 -3)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) (*.f64 rand (*.f64 a a))))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -1/6 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) (*.f64 rand (pow.f64 a 3)))) (fma.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) (*.f64 -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 rand (sqrt.f64 -3)) a) (*.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 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.f64 a a))))))
(fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 -3/2 (*.f64 (/.f64 rand (sqrt.f64 -3)) a) (*.f64 rand (+.f64 (*.f64 (/.f64 -27/8 (sqrt.f64 -3)) (*.f64 a a)) (/.f64 -135/16 (/.f64 (sqrt.f64 -3) (pow.f64 a 3)))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 a 1/3))) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (+.f64 a -1/3)))))
(*.f64 (*.f64 1/3 rand) (sqrt.f64 (/.f64 1 (+.f64 a -1/3))))
(*.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)
(+.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 rand (sqrt.f64 -3)) -1/9 -1/3))
(+.f64 (*.f64 (fma.f64 (*.f64 1/3 rand) (sqrt.f64 -3) 1) (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/2 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 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 (*.f64 1/18 (*.f64 rand (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3))))))
(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 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (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 a (*.f64 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 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 (*.f64 1/3 rand) (sqrt.f64 -3) 1) (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/2 a))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/18 (/.f64 (*.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) rand) (sqrt.f64 -3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) (+.f64 1 (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (+.f64 81 (*.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (pow.f64 (sqrt.f64 -3) 2)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -1/6 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (/.f64 (*.f64 1/18 (*.f64 rand (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))) (sqrt.f64 -3)))))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand) (*.f64 1/18 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) rand)))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 a a) (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (sqrt.f64 -3)) rand))) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))))
(fma.f64 (pow.f64 a 3) (fma.f64 -1/6 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.f64 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 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (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 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)))))) (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 (*.f64 1/3 rand) (sqrt.f64 -3) 1) (+.f64 a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/2 a)))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) a) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -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 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -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 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(-.f64 (+.f64 a (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))) 1/3)
(+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3))) a) -1/3)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) rand (+.f64 a -1/3))
(fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) (+.f64 a -1/3))
(+.f64 a (fma.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) -1/3))
(sqrt.f64 -3)
(+.f64 (sqrt.f64 -3) (*.f64 3/2 (*.f64 a (sqrt.f64 -3))))
(+.f64 (sqrt.f64 -3) (*.f64 (*.f64 3/2 a) (sqrt.f64 -3)))
(*.f64 (+.f64 (*.f64 a 3/2) 1) (sqrt.f64 -3))
(*.f64 (sqrt.f64 -3) (fma.f64 a 3/2 1))
(+.f64 (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (*.f64 3/2 (*.f64 a (sqrt.f64 -3)))))
(fma.f64 27/8 (*.f64 (sqrt.f64 -3) (*.f64 a a)) (+.f64 (sqrt.f64 -3) (*.f64 (*.f64 3/2 a) (sqrt.f64 -3))))
(fma.f64 27/8 (*.f64 (sqrt.f64 -3) (*.f64 a a)) (*.f64 (+.f64 (*.f64 a 3/2) 1) (sqrt.f64 -3)))
(*.f64 (sqrt.f64 -3) (+.f64 (*.f64 a 3/2) (fma.f64 (*.f64 a a) 27/8 1)))
(+.f64 (*.f64 135/16 (*.f64 (pow.f64 a 3) (sqrt.f64 -3))) (+.f64 (*.f64 27/8 (*.f64 (pow.f64 a 2) (sqrt.f64 -3))) (+.f64 (sqrt.f64 -3) (*.f64 3/2 (*.f64 a (sqrt.f64 -3))))))
(fma.f64 135/16 (*.f64 (sqrt.f64 -3) (pow.f64 a 3)) (fma.f64 27/8 (*.f64 (sqrt.f64 -3) (*.f64 a a)) (+.f64 (sqrt.f64 -3) (*.f64 (*.f64 3/2 a) (sqrt.f64 -3)))))
(+.f64 (*.f64 (+.f64 (*.f64 a 3/2) 1) (sqrt.f64 -3)) (*.f64 (sqrt.f64 -3) (+.f64 (*.f64 (pow.f64 a 3) 135/16) (*.f64 (*.f64 a a) 27/8))))
(fma.f64 (sqrt.f64 -3) (*.f64 (*.f64 a a) (+.f64 (*.f64 a 135/16) 27/8)) (*.f64 (sqrt.f64 -3) (fma.f64 a 3/2 1)))
(*.f64 (sqrt.f64 -3) (+.f64 (fma.f64 a 3/2 1) (*.f64 (*.f64 a a) (+.f64 (*.f64 a 135/16) 27/8))))
(sqrt.f64 (/.f64 1 a))
(+.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))))
(fma.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (sqrt.f64 (/.f64 1 a)))
(+.f64 (sqrt.f64 (/.f64 1 a)) (+.f64 (*.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))) (*.f64 1/24 (sqrt.f64 (/.f64 1 (pow.f64 a 5))))))
(+.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (*.f64 1/24 (sqrt.f64 (/.f64 1 (pow.f64 a 5))))))
(fma.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (fma.f64 1/24 (sqrt.f64 (/.f64 1 (pow.f64 a 5))) (sqrt.f64 (/.f64 1 a))))
(+.f64 (sqrt.f64 (/.f64 1 a)) (+.f64 (*.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3)))) (+.f64 (*.f64 1/24 (sqrt.f64 (/.f64 1 (pow.f64 a 5)))) (*.f64 5/432 (sqrt.f64 (/.f64 1 (pow.f64 a 7)))))))
(+.f64 (sqrt.f64 (/.f64 1 a)) (fma.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3))) (fma.f64 1/24 (sqrt.f64 (/.f64 1 (pow.f64 a 5))) (*.f64 5/432 (sqrt.f64 (/.f64 1 (pow.f64 a 7)))))))
(+.f64 (fma.f64 1/24 (sqrt.f64 (/.f64 1 (pow.f64 a 5))) (*.f64 1/6 (sqrt.f64 (/.f64 1 (pow.f64 a 3))))) (fma.f64 5/432 (sqrt.f64 (/.f64 1 (pow.f64 a 7))) (sqrt.f64 (/.f64 1 a))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a))))
(*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 a) 1/2))
(pow.f64 (exp.f64 -1/2) (log.f64 a))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))) a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))))
(fma.f64 1/6 (/.f64 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) a) (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 a) 1/2)))
(*.f64 (+.f64 (/.f64 1/6 a) 1) (pow.f64 (exp.f64 -1/2) (log.f64 a)))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2)))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a)))))) (*.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) (*.f64 a a))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))) a) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))) (*.f64 a a)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a))))))
(fma.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 a) 1/2) (*.f64 (/.f64 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) a) (+.f64 (/.f64 1/24 a) 1/6)))
(+.f64 (pow.f64 (exp.f64 -1/2) (log.f64 a)) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 a)) a) (+.f64 (/.f64 1/24 a) 1/6)))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) a)) (+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) a) (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) (pow.f64 a 3)) (+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) (*.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) (*.f64 a a))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))) a) (fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))) (pow.f64 a 3)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))) (*.f64 a a)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 a)))))))
(fma.f64 1/6 (/.f64 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 a) 1/2)) a) (fma.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 a) 1/2) (*.f64 (*.f64 (/.f64 (pow.f64 -1 -1/2) a) (/.f64 (pow.f64 (/.f64 -1 a) 1/2) a)) (+.f64 (/.f64 5/432 a) 1/24))))
(+.f64 (pow.f64 (exp.f64 -1/2) (log.f64 a)) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 a)) a) (+.f64 (+.f64 (/.f64 1/24 a) 1/6) (/.f64 5/432 (*.f64 a a)))))

eval464.0ms (4.1%)

Compiler

Compiled 12460 to 9672 computations (22.4% saved)

prune110.0ms (1%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New5658573
Fresh415
Picked101
Done156
Total57114585
Error
0b
Counts
585 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(*.f64 (+.f64 -1/3 a) (+.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))
✓47.2b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
▶47.2b
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
1.2b
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
▶16.5b
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
✓0.8b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
▶47.9b
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
✓41.5b
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
✓47.7b
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
✓16.4b
(-.f64 a 1/3)
63.1b
-1/3
▶59.9b
(sqrt.f64 (*.f64 a (*.f64 (*.f64 rand rand) 1/9)))
17.0b
a
0.6b
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 a 9)))))
Compiler

Compiled 215 to 169 computations (21.4% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 a -1/3) -1/2)
✓0.1b
(*.f64 (+.f64 -1/3 a) (+.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))
0.3b
(*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))
0.3b
(*.f64 rand 1/3)
Compiler

Compiled 57 to 44 computations (22.8% saved)

series2.0ms (0%)

Counts
1 → 18
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@0
(*.f64 (+.f64 -1/3 a) (+.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))
0.0ms
a
@inf
(*.f64 (+.f64 -1/3 a) (+.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))
0.0ms
a
@-inf
(*.f64 (+.f64 -1/3 a) (+.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))
0.0ms
rand
@0
(*.f64 (+.f64 -1/3 a) (+.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))
0.0ms
rand
@-inf
(*.f64 (+.f64 -1/3 a) (+.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))

rewrite81.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
803×prod-diff_binary64
634×log-prod_binary64
479×fma-def_binary64
245×expm1-udef_binary64
245×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01422
131620
2399620
Stop Event
1×node limit
Counts
1 → 112
Calls
Call 1
Inputs
(*.f64 (+.f64 -1/3 a) (+.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 (+.f64 a (*.f64 (+.f64 -1/3 a) (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (*.f64 (+.f64 -1/3 a) (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/3 a) (*.f64 (+.f64 -1/3 a) (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/3 a) (*.f64 (*.f64 (+.f64 -1/3 a) (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 -1/3 a) (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 -1/3 a) (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3))) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1)) (*.f64 a (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1)) (*.f64 -1/3 (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1) -1/3) (*.f64 (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1) a) (*.f64 (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1)) (+.f64 -1/3 a))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1)) (+.f64 -1/3 a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1)) (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1)) (+.f64 -1/3 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1)) (+.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 -1/3 a) (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) rand) 3) 1/27 1)) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 -1/3 a)) (fma.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)) (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) rand) 3) 1/27 1)) (*.f64 (fma.f64 a (+.f64 a 1/3) 1/9) (fma.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)) (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) rand) 3) 1/27 1)) (*.f64 (+.f64 a 1/3) (fma.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)) (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) rand) 3) 1/27 1)) (*.f64 (-.f64 -1/3 a) (fma.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)) (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) -1)))) (*.f64 (-.f64 (fma.f64 a a 1/9) (*.f64 -1/3 a)) (-.f64 1 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/27 (pow.f64 a 3)) (-.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) -1)))) (*.f64 (fma.f64 a (+.f64 a 1/3) 1/9) (-.f64 1 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) -1)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) -1)))) (*.f64 (-.f64 -1/3 a) (-.f64 1 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) rand) 3) 1/27 1) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)) (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) -1) 1) (-.f64 (fma.f64 a a 1/9) (*.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) rand) 3) 1/27 1) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)) (fma.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3) -1) 1) (fma.f64 a (+.f64 a 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) -1))) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3))) (-.f64 (fma.f64 a a 1/9) (*.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) -1))) (+.f64 -1/27 (pow.f64 a 3))) (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3))) (fma.f64 a (+.f64 a 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 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-1/3 a) (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) rand) (*.f64 1/3 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)))) (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3))))) (cbrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)))) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)))) (sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)))) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 -1/3 a) -1/4))) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 -1/3 a) -1/4))) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 -1/3 a) -1/4)) (sqrt.f64 (+.f64 -1/3 a))) (*.f64 (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 -1/3 a) -1/4)) (sqrt.f64 (+.f64 -1/3 a))) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 -1/3 a) (pow.f64 (+.f64 -1/3 a) -1/2)) (*.f64 rand 1/3) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 -1/3 a) (*.f64 rand 1/3)) (pow.f64 (+.f64 -1/3 a) -1/2) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 -1/3 a) (cbrt.f64 (*.f64 (*.f64 1/9 (*.f64 rand rand)) (pow.f64 (+.f64 -1/3 a) -1)))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3))) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 -1/3 a) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 -1/3 a) -1/4))) (*.f64 (sqrt.f64 (*.f64 rand 1/3)) (pow.f64 (+.f64 -1/3 a) -1/4)) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 -1/3 a) (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) rand)) 1/3 (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)) (pow.f64 (cbrt.f64 (+.f64 -1/3 a)) 2)) (cbrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (pow.f64 (+.f64 -1/3 a) -1/2) (*.f64 rand 1/3)) (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 (+.f64 -1/3 a)) (+.f64 -1/3 a))))))

simplify57.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
761×distribute-rgt-in_binary64
423×associate-*l/_binary64
404×distribute-rgt-out_binary64
384×*-commutative_binary64
384×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060440
1163423
2513414
32319343
46704343
Stop Event
1×node limit
Counts
130 → 128
Calls
Call 1
Inputs
(*.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 -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 -1/9) (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 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 1/2 (*.f64 a (/.f64 rand (sqrt.f64 -3)))) (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (-.f64 a 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 (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -3))) 1)) (*.f64 (+.f64 (*.f64 -3/2 (/.f64 rand (sqrt.f64 -3))) (*.f64 1/18 (/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) rand) (sqrt.f64 -3)))) (pow.f64 a 2))))
(fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (*.f64 a a))))
(fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (fma.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2)) (*.f64 a a) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9))))
(fma.f64 a (*.f64 a (fma.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 -1/9 rand) (sqrt.f64 -3) -1/3)))
(fma.f64 (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3)))) (*.f64 a a) (+.f64 (*.f64 1/2 (*.f64 a (/.f64 rand (sqrt.f64 -3)))) (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (-.f64 a 1/3))))
(+.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 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) -1/6)) (fma.f64 a (+.f64 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 1/2 (/.f64 rand (sqrt.f64 -3)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) 1) (*.f64 (fma.f64 -3/2 (/.f64 rand (sqrt.f64 -3)) (*.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)))) (*.f64 a a)))))
(fma.f64 (pow.f64 a 3) (fma.f64 1/18 (/.f64 (fma.f64 9/2 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) -3) 81) (/.f64 (sqrt.f64 -3) rand)) (*.f64 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) -1/6)) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (fma.f64 1/18 (/.f64 (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2)) (*.f64 a a) (+.f64 -1/3 (*.f64 (*.f64 rand (sqrt.f64 -3)) -1/9)))))
(fma.f64 (pow.f64 a 3) (fma.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))) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) -1/6)) (fma.f64 a (*.f64 a (fma.f64 1/18 (*.f64 (/.f64 rand (sqrt.f64 -3)) (+.f64 27 (pow.f64 (/.f64 -9/2 (sqrt.f64 -3)) 2))) (*.f64 (/.f64 rand (sqrt.f64 -3)) -3/2))) (fma.f64 a (fma.f64 1/3 (*.f64 rand (sqrt.f64 -3)) (fma.f64 1/2 (/.f64 rand (sqrt.f64 -3)) 1)) (fma.f64 (*.f64 -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 (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3)))) (*.f64 a a) (+.f64 (*.f64 1/2 (*.f64 a (/.f64 rand (sqrt.f64 -3)))) (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (-.f64 a 1/3)))))
(+.f64 (+.f64 (*.f64 1/2 (*.f64 a (/.f64 rand (sqrt.f64 -3)))) (*.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 rand) 1) (-.f64 a 1/3))) (fma.f64 (*.f64 rand (+.f64 (/.f64 -3/2 (sqrt.f64 -3)) (/.f64 9/8 (sqrt.f64 -3)))) (*.f64 a a) (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -3)) (+.f64 (*.f64 rand 45/16) (*.f64 rand -27/8)))))
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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.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)
(fma.f64 (*.f64 1/3 (sqrt.f64 (+.f64 -1/3 a))) rand (+.f64 -1/3 a))
(+.f64 -1/3 (fma.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 1/3 rand) a))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (sqrt.f64 a) rand)
0.5b
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
Compiler

Compiled 17 to 7 computations (58.8% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 a -1/3)
✓0.0b
(/.f64 1 (+.f64 a -1/3))
✓0.2b
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
Compiler

Compiled 21 to 17 computations (19% saved)

series9.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
6.0ms
a
@inf
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
1.0ms
a
@-inf
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
1.0ms
a
@0
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
0.0ms
a
@inf
(/.f64 1 (+.f64 a -1/3))
0.0ms
a
@0
(/.f64 1 (+.f64 a -1/3))

rewrite65.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
696×pow1_binary64
658×add-log-exp_binary64
656×log1p-expm1-u_binary64
656×expm1-log1p-u_binary64
646×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
117111
2200411
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(/.f64 1 (+.f64 a -1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 a a) (+.f64 a 1/3)) (/.f64 1/9 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 1/3 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a -1/3)) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a a -1/9) (/.f64 1 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 a -1/3) -1/2) -1) (pow.f64 (pow.f64 (+.f64 a -1/3) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (+.f64 a -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))) (+.f64 -1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a 1/3) (fma.f64 a a -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/3 (neg.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 a 3)) (+.f64 1/9 (-.f64 (*.f64 a a) (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a -1/9) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 a -1/3)) (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/27 (pow.f64 a 3))) (neg.f64 (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a a -1/9)) (neg.f64 (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -2))) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) -1/3)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 a -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 1/3 (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) (cbrt.f64 (pow.f64 (+.f64 a -1/3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 a -1/3) -2)) (/.f64 1 (cbrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a -1/3) -1/2) (pow.f64 (+.f64 a -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 a -1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1) (pow.f64 (sqrt.f64 (+.f64 a -1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1/27 (pow.f64 a 3))) (fma.f64 a a (-.f64 1/9 (*.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a -1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 a -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 a -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a -1/3) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a -1/3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 a -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 a -1/3))))))))

simplify51.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
720×associate-*l*_binary64
666×distribute-rgt-neg-in_binary64
616×associate-/r*_binary64
588×fma-neg_binary64
561×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037220
191218
2206216
3544210
41464207
56262207
Stop Event
1×node limit
Counts
85 → 78
Calls
Call 1
Inputs
-1/3
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
a
(-.f64 a 1/3)
(-.f64 a 1/3)
(-.f64 a 1/3)
-3
(-.f64 (*.f64 -9 a) 3)
(-.f64 (+.f64 (*.f64 -27 (pow.f64 a 2)) (*.f64 -9 a)) 3)
(-.f64 (+.f64 (*.f64 -27 (pow.f64 a 2)) (+.f64 (*.f64 -9 a) (*.f64 -81 (pow.f64 a 3)))) 3)
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
Outputs
-1/3
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 a 1/3)
(+.f64 a -1/3)
-3
(-.f64 (*.f64 -9 a) 3)
(fma.f64 -9 a -3)
(fma.f64 a -9 -3)
(-.f64 (+.f64 (*.f64 -27 (pow.f64 a 2)) (*.f64 -9 a)) 3)
(+.f64 (fma.f64 -27 (*.f64 a a) (*.f64 a -9)) -3)
(fma.f64 -27 (*.f64 a a) (fma.f64 a -9 -3))
(fma.f64 a -9 (fma.f64 a (*.f64 a -27) -3))
(fma.f64 a (fma.f64 a -27 -9) -3)
(-.f64 (+.f64 (*.f64 -27 (pow.f64 a 2)) (+.f64 (*.f64 -9 a) (*.f64 -81 (pow.f64 a 3)))) 3)
(+.f64 (fma.f64 -27 (*.f64 a a) (fma.f64 -9 a (*.f64 -81 (pow.f64 a 3)))) -3)
(+.f64 (fma.f64 -27 (*.f64 a a) (fma.f64 a -9 (*.f64 -81 (pow.f64 a 3)))) -3)
(fma.f64 a (*.f64 a -27) (fma.f64 a -9 (fma.f64 -81 (pow.f64 a 3) -3)))
(fma.f64 a (fma.f64 a -27 -9) (fma.f64 -81 (pow.f64 a 3) -3))
(fma.f64 a (fma.f64 a (fma.f64 a -81 -27) -9) -3)
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a)))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/9 (pow.f64 a 3)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1/3 (*.f64 a a)) (/.f64 1/9 (pow.f64 a 3))))
(+.f64 (/.f64 1 a) (*.f64 (/.f64 1 (*.f64 a a)) (+.f64 1/3 (/.f64 1/9 a))))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(+.f64 (+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/9 (pow.f64 a 3))) (/.f64 1/27 (pow.f64 a 4)))
(+.f64 (/.f64 1/9 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/27 (pow.f64 a 4))))
(+.f64 (/.f64 1/9 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1/3 (*.f64 a a)) (/.f64 1/27 (pow.f64 a 4)))))
(+.f64 (/.f64 1/3 (*.f64 a a)) (+.f64 (/.f64 1/9 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (/.f64 1/27 (pow.f64 a 4)))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1/27 (pow.f64 a 4)) (*.f64 (/.f64 1 (*.f64 a a)) (+.f64 1/3 (/.f64 1/9 a)))))
(/.f64 1 a)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))
(+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a)))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a)))
(+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/9 (pow.f64 a 3)))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1/3 (*.f64 a a)) (/.f64 1/9 (pow.f64 a 3))))
(+.f64 (/.f64 1 a) (*.f64 (/.f64 1 (*.f64 a a)) (+.f64 1/3 (/.f64 1/9 a))))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 a 2))) (/.f64 1 a))))
(+.f64 (+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/9 (pow.f64 a 3))) (/.f64 1/27 (pow.f64 a 4)))
(+.f64 (/.f64 1/9 (pow.f64 a 3)) (+.f64 (+.f64 (/.f64 1 a) (/.f64 1/3 (*.f64 a a))) (/.f64 1/27 (pow.f64 a 4))))
(+.f64 (/.f64 1/9 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (+.f64 (/.f64 1/3 (*.f64 a a)) (/.f64 1/27 (pow.f64 a 4)))))
(+.f64 (/.f64 1/3 (*.f64 a a)) (+.f64 (/.f64 1/9 (pow.f64 a 3)) (+.f64 (/.f64 1 a) (/.f64 1/27 (pow.f64 a 4)))))
(+.f64 (/.f64 1 a) (+.f64 (/.f64 1/27 (pow.f64 a 4)) (*.f64 (/.f64 1 (*.f64 a a)) (+.f64 1/3 (/.f64 1/9 a)))))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 rand rand) 1/9)
✓10.3b
(*.f64 a (*.f64 (*.f64 rand rand) 1/9))
✓24.0b
(sqrt.f64 (*.f64 a (*.f64 (*.f64 rand rand) 1/9)))
Compiler

Compiled 28 to 13 computations (53.6% saved)

series11.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

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

rewrite60.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
722×pow1_binary64
670×add-log-exp_binary64
670×log1p-expm1-u_binary64
670×expm1-log1p-u_binary64
653×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0829
116526
2191426
Stop Event
1×node limit
Counts
3 → 49
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a (*.f64 (*.f64 rand rand) 1/9)))
(*.f64 a (*.f64 (*.f64 rand rand) 1/9))
(*.f64 (*.f64 rand rand) 1/9)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))) (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) (cbrt.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))) (sqrt.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 rand 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 rand 1/3) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 rand rand))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 rand rand)) 1/2) (pow.f64 1/9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 a)) (*.f64 rand 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) (*.f64 rand 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a a) (*.f64 1/81 (pow.f64 rand 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a a) (*.f64 1/81 (pow.f64 rand 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 rand (*.f64 rand 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 rand (*.f64 rand 1/9)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 rand (*.f64 rand 1/9)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 rand (*.f64 rand 1/9)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 rand (*.f64 rand 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand (*.f64 rand 1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 rand (*.f64 rand 1/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 rand (*.f64 rand 1/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 rand 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (pow.f64 rand 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/9) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 rand (*.f64 rand 1/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 rand (*.f64 rand 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 rand (*.f64 rand 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 rand (*.f64 rand 1/9))))))))

simplify204.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
2020×unswap-sqr_binary64
1080×sqr-pow_binary64
634×fabs-mul_binary64
612×pow-sqr_binary64
610×cube-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015432
132432
268432
3143432
4379432
51212432
61476432
71890432
81990432
92123432
102292432
112535432
122850432
133220432
143677432
154264432
164972432
175830432
186256432
196570432
206874432
216954432
226990432
Stop Event
1×node limit
Counts
97 → 57
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (pow.f64 rand 2))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 -1/3 (sqrt.f64 a)) rand)
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 -1/3 (sqrt.f64 a)) rand)
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 -1/3 (sqrt.f64 a)) rand)
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3))
(*.f64 -1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (*.f64 -1/3 (sqrt.f64 a)) rand)
(*.f64 (sqrt.f64 a) (*.f64 rand -1/3))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (*.f64 a (pow.f64 rand 2)))
(*.f64 (*.f64 1/9 a) (*.f64 rand rand))
(*.f64 1/9 (*.f64 a (*.f64 rand rand)))
(*.f64 rand (*.f64 rand (*.f64 a 1/9)))
(*.f64 a (*.f64 1/9 (*.f64 rand rand)))
(*.f64 a (*.f64 rand (*.f64 rand 1/9)))
(*.f64 rand (*.f64 a (*.f64 rand 1/9)))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))
(*.f64 1/9 (pow.f64 rand 2))
(*.f64 1/9 (*.f64 rand rand))
(*.f64 rand (*.f64 rand 1/9))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 27 to 20 computations (25.9% saved)

series6.0ms (0%)

Counts
2 → 20
Calls

9 calls:

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

rewrite61.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
119221
2229621
Stop Event
1×node limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (sqrt.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))))))))
((#(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 (*.f64 rand rand) (*.f64 (+.f64 a -1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/3) (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 cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 (sqrt.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 1/3 (sqrt.f64 (+.f64 a -1/3))) 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))))))))

simplify66.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
896×associate-/l*_binary64
668×fma-def_binary64
443×associate-/r*_binary64
414×associate-*l/_binary64
402×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
049366
1138358
2398354
31328320
46439312
57372312
Stop Event
1×node limit
Counts
44 → 41
Calls
Call 1
Inputs
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3)))
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 1/3 (sqrt.f64 -1/3)))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
Outputs
(*.f64 1/3 (sqrt.f64 -1/3))
(+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3)))
(fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (*.f64 1/3 (sqrt.f64 -1/3)))
(fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))))
(fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 a (/.f64 (sqrt.f64 -1/3) 1/6)))
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (*.f64 1/3 (sqrt.f64 -1/3))))
(fma.f64 -1/24 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (*.f64 1/3 (sqrt.f64 -1/3))))
(+.f64 (fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))) (*.f64 1/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))))
(fma.f64 1/3 (sqrt.f64 -1/3) (fma.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3)))))
(fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 a 8))))
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 a (sqrt.f64 -1/3))) (+.f64 (*.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5))) (*.f64 1/3 (sqrt.f64 -1/3)))))
(fma.f64 -1/24 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) (*.f64 1/3 (sqrt.f64 -1/3)))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 a a) (sqrt.f64 -1/3))) (fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 1/48 (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))))))
(fma.f64 1/6 (/.f64 a (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 a (/.f64 (sqrt.f64 -1/3) a)) (fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 (/.f64 1/48 (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)))))
(fma.f64 1/3 (sqrt.f64 -1/3) (fma.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 a 8)))))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (+.f64 a -1/3)) rand))
(*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3)))
(*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand))
(*.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 (sqrt.f64 -1/3) rand) (*.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand))))
(fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 (sqrt.f64 -1/3) (*.f64 1/3 rand)))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand)))
(*.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 a (/.f64 (sqrt.f64 -1/3) 1/6))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3)))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) rand) (sqrt.f64 -1/3)))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 1/8 (/.f64 (*.f64 a rand) (/.f64 (sqrt.f64 -1/3) a)))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 a 8)))))
(*.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 a 8)))))
(+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 -1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (*.f64 1/8 (/.f64 (*.f64 (*.f64 a a) rand) (sqrt.f64 -1/3))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/48 (*.f64 (/.f64 rand (pow.f64 (sqrt.f64 -1/3) 5)) (pow.f64 a 3)) (*.f64 1/8 (/.f64 (*.f64 a rand) (/.f64 (sqrt.f64 -1/3) a))))))
(+.f64 (*.f64 rand (*.f64 (/.f64 a (sqrt.f64 -1/3)) (+.f64 1/6 (/.f64 a 8)))) (*.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (/.f64 (*.f64 1/48 (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 5)))))
(*.f64 rand (fma.f64 1/3 (sqrt.f64 -1/3) (fma.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 a 8))))))

eval227.0ms (2%)

Compiler

Compiled 7756 to 6102 computations (21.3% saved)

prune137.0ms (1.2%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New4216427
Fresh314
Picked101
Done369
Total42813441
Error
0b
Counts
441 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓47.2b
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
41.5b
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
17.0b
a
✓16.4b
(-.f64 a 1/3)
16.5b
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
1.2b
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
63.1b
-1/3
✓47.9b
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
0.6b
(*.f64 (+.f64 -1/3 a) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand 1/3))))
✓47.7b
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
✓59.9b
(sqrt.f64 (*.f64 a (*.f64 (*.f64 rand rand) 1/9)))
✓0.8b
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
47.2b
(*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)))
Compiler

Compiled 119 to 93 computations (21.8% saved)

regimes316.0ms (2.8%)

Counts
35 → 1
Calls
Call 1
Inputs
a
-1/3
-1/3
a
a
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (*.f64 a (*.f64 (*.f64 rand rand) 1/9)))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(sqrt.f64 (*.f64 (+.f64 -1/3 a) (*.f64 1/9 (*.f64 rand rand))))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
(*.f64 a (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(-.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 a 9)))))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 a)) (*.f64 rand 1/3))))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))))
(*.f64 (*.f64 (-.f64 a 1/3) rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 a -1/3) -1/2) (*.f64 rand 1/3))))
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 -1/3 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)))
(*.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

6 calls:

87.0ms
rand
42.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
42.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
41.0ms
a
40.0ms
(-.f64 a (/.f64 1 3))
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
0.1b1(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
0.1b1(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
0.1b1(-.f64 a (/.f64 1 3))
0.1b1(-.f64 a (/.f64 1 3))
Compiler

Compiled 378 to 289 computations (23.5% saved)

regimes307.0ms (2.7%)

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

6 calls:

67.0ms
rand
49.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
47.0ms
(-.f64 a (/.f64 1 3))
44.0ms
(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
43.0ms
(-.f64 a (/.f64 1 3))
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
0.1b1(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
0.1b1(*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand)))
0.1b1(-.f64 a (/.f64 1 3))
0.1b1(-.f64 a (/.f64 1 3))
Compiler

Compiled 365 to 279 computations (23.6% saved)

regimes167.0ms (1.5%)

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

2 calls:

109.0ms
a
44.0ms
rand
Results
ErrorSegmentsBranch
0.1b1a
0.1b1rand
Compiler

Compiled 193 to 136 computations (29.5% saved)

regimes138.0ms (1.2%)

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

2 calls:

82.0ms
rand
42.0ms
a
Results
ErrorSegmentsBranch
0.3b1a
0.3b1rand
Compiler

Compiled 179 to 125 computations (30.2% saved)

regimes135.0ms (1.2%)

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

2 calls:

90.0ms
rand
33.0ms
a
Results
ErrorSegmentsBranch
0.8b1a
0.8b1rand
Compiler

Compiled 141 to 96 computations (31.9% saved)

regimes231.0ms (2%)

Counts
21 → 3
Calls
Call 1
Inputs
a
-1/3
-1/3
a
a
-1/3
a
(-.f64 a 1/3)
(/.f64 1 (/.f64 1 (+.f64 a -1/3)))
(/.f64 (-.f64 1/9 (*.f64 a a)) (-.f64 -1/3 a))
(*.f64 1/3 (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) (*.f64 1/3 rand))
(pow.f64 (/.f64 1 (+.f64 a -1/3)) -1)
(*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)))
(*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3))))
(sqrt.f64 (*.f64 a (*.f64 (*.f64 rand rand) 1/9)))
(/.f64 (fma.f64 a a -1/9) (-.f64 a -1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(*.f64 (sqrt.f64 (+.f64 -1/3 a)) (*.f64 1/3 rand))
(*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand))
(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 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)))
Calls

2 calls:

105.0ms
rand
90.0ms
a
Results
ErrorSegmentsBranch
15.2b3a
4.6b3rand
Compiler

Compiled 119 to 82 computations (31.1% saved)

bsearch122.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
71.0ms
4.171938097221119e+72
4.399922672636191e+75
51.0ms
-8.048016657293781e+61
-2.2654306922956503e+61
Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes235.0ms (2.1%)

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

2 calls:

130.0ms
rand
97.0ms
a
Results
ErrorSegmentsBranch
15.2b3a
4.6b3rand
Compiler

Compiled 85 to 58 computations (31.8% saved)

bsearch120.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
52.0ms
4.171938097221119e+72
4.399922672636191e+75
67.0ms
-8.048016657293781e+61
-2.2654306922956503e+61
Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes126.0ms (1.1%)

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

2 calls:

59.0ms
rand
59.0ms
a
Results
ErrorSegmentsBranch
15.2b3a
4.6b3rand
Compiler

Compiled 61 to 42 computations (31.1% saved)

bsearch131.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
58.0ms
4.171938097221119e+72
4.399922672636191e+75
72.0ms
-8.048016657293781e+61
-2.2654306922956503e+61
Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes106.0ms (0.9%)

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

2 calls:

52.0ms
rand
48.0ms
a
Results
ErrorSegmentsBranch
15.2b3a
5.1b3rand
Compiler

Compiled 53 to 36 computations (32.1% saved)

bsearch94.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
43.0ms
4.171938097221119e+72
4.399922672636191e+75
51.0ms
-8.048016657293781e+61
-2.2654306922956503e+61
Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes78.0ms (0.7%)

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

2 calls:

44.0ms
a
30.0ms
rand
Results
ErrorSegmentsBranch
15.2b3a
5.3b3rand
Compiler

Compiled 40 to 27 computations (32.5% saved)

bsearch118.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
51.0ms
4.171938097221119e+72
4.399922672636191e+75
65.0ms
-8.048016657293781e+61
-2.2654306922956503e+61
Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes35.0ms (0.3%)

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

2 calls:

16.0ms
a
15.0ms
rand
Results
ErrorSegmentsBranch
16.4b1a
16.4b1rand
Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes26.0ms (0.2%)

Accuracy

Total -46.4b remaining (-273.8%)

Threshold costs -46.4b (-273.8%)

Counts
7 → 1
Calls
Call 1
Inputs
a
-1/3
-1/3
a
a
-1/3
a
Outputs
a
Calls

2 calls:

13.0ms
a
11.0ms
rand
Results
ErrorSegmentsBranch
17.0b1a
17.0b1rand
Compiler

Compiled 15 to 9 computations (40% saved)

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
9×+-commutative_binary64
4×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059287
190287
293287
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.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 (-.f64 (*.f64 9 a) 3)))))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.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 a) rand)) a) 1/3)
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (-.f64 a 1/3) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (-.f64 a 1/3) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (-.f64 a 1/3) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (-.f64 a 1/3) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))
(-.f64 a 1/3)
a
Outputs
(*.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 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (-.f64 (*.f64 9 a) 3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 (*.f64 a 9) -3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 a 9))))))
(*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(*.f64 (+.f64 a -1/3) (+.f64 1 (/.f64 (/.f64 rand 3) (sqrt.f64 (+.f64 a -1/3)))))
(-.f64 (+.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 (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) a) 1/3)
(+.f64 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 a)))) -1/3)
(+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 a)))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 1/3 (*.f64 (sqrt.f64 (-.f64 a 1/3)) rand)) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (-.f64 a 1/3) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (-.f64 a 1/3) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 rand (*.f64 1/3 (sqrt.f64 (+.f64 a -1/3)))) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (-.f64 a 1/3) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9))) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (+.f64 a -1/3) (*.f64 rand (sqrt.f64 (*.f64 (+.f64 a -1/3) 1/9)))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (-.f64 a 1/3) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 1/3 (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (+.f64 a -1/3) (*.f64 (sqrt.f64 a) (*.f64 1/3 rand))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand)) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (-.f64 a 1/3) (*.f64 1/3 (*.f64 (sqrt.f64 a) rand))))
(if (<=.f64 rand -80480166572937812073648635540432550723839104556885576603664384) (*.f64 1/3 (*.f64 rand (sqrt.f64 a))) (if (<=.f64 rand 4171938097221118869518588749858124404905648716810687153611403078219595776) (+.f64 a -1/3) (*.f64 1/3 (*.f64 rand (sqrt.f64 a)))))
(-.f64 a 1/3)
(+.f64 a -1/3)
a
Compiler

Compiled 218 to 163 computations (25.2% saved)

soundness294.0ms (2.6%)

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
Compiler

Compiled 389 to 334 computations (14.1% saved)

end121.0ms (1.1%)

Compiler

Compiled 196 to 137 computations (30.1% saved)

Profiling

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