Details

Time bar (total: 3.6s)

analyze118.0ms (3.3%)

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
20%4.8%75.2%13
20.7%2.8%76.5%14
Compiler

Compiled 23 to 20 computations (13% saved)

sample1.2s (31.8%)

Results
1.1s8256×body128valid
72.0ms609×body128invalid
Compiler

Compiled 46 to 40 computations (13% saved)

preprocess43.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
692×fma-def_binary64
438×fma-neg_binary64
227×sub-neg_binary64
210×distribute-rgt-neg-in_binary64
204×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02248
15242
214138
339538
4100538
5189838
6287338
7419738
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)))))
(*.f64 (-.f64 1/3 rand) (-.f64 -1 (/.f64 a (sqrt.f64 (fma.f64 9 rand -3)))))
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify69.0ms (1.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01524
13221
28219
319919
451019
596919
6147019
7242119
8362619
9407319
10423119
11427219
12427519
13482819
14482819
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)))))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 109 to 91 computations (16.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series54.0ms (1.5%)

Counts
4 → 50
Calls

18 calls:

TimeVariablePointExpression
6.0ms
rand
@0
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
6.0ms
a
@inf
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
4.0ms
rand
@-inf
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
4.0ms
rand
@0
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
4.0ms
rand
@inf
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))

rewrite60.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
492×prod-diff_binary64
237×log1p-udef_binary64
140×add-sqr-sqrt_binary64
132×*-un-lft-identity_binary64
132×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01341
128740
2373540
Stop Event
1×node limit
Counts
4 → 127
Calls
Call 1
Inputs
(/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))
(sqrt.f64 (fma.f64 a 9 -3))
(fma.f64 a 9 -3)
(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
Outputs
((#(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 (pow.f64 (cbrt.f64 rand) 2) (*.f64 (cbrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (pow.f64 (cbrt.f64 rand) 2) 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 (pow.f64 (cbrt.f64 rand) 2) (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 (pow.f64 (cbrt.f64 rand) 2) (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 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 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 log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -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 -.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 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 log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(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 +.f64 -3 (*.f64 a 9))))) (#(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 (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 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (pow.f64 (fma.f64 a 9 -3) 1/4)) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (fma.f64 a 9 -3))) (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a 9) 3) -27) (+.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) (-.f64 9 (*.f64 (*.f64 a 9) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a 9) (*.f64 a 9)) 9) (-.f64 (*.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 exp.f64 (log.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a 9 -3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 -1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -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 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) (+.f64 a -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) a) (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 a (-.f64 1/3 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))) (*.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))) (*.f64 (+.f64 a 1/3) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (*.f64 (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (*.f64 (+.f64 a 1/3) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 (pow.f64 a 3) -1/27)) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (fma.f64 a a -1/9)) (*.f64 (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (fma.f64 a a -1/9)) (*.f64 (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (+.f64 a 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) 3)) (+.f64 (pow.f64 (+.f64 a -1/3) 2) (-.f64 (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))) (*.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a -1/3) 2) (*.f64 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))) (-.f64 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1/9) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)) (+.f64 a -1/3)) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (+.f64 1 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3))) (+.f64 1 (-.f64 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a -1/3) (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3)))) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (+.f64 (pow.f64 a 3) -1/27)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) (fma.f64 a a -1/9)) (+.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -1/3)) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -1/3) 3) (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) 3) (pow.f64 (+.f64 a -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (+.f64 a -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (log.f64 (+.f64 a -1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -1/3) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -1/3) 1 (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a -1/3) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -1/3)) 2) (cbrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -1/3)) (sqrt.f64 (+.f64 a -1/3)) (/.f64 (*.f64 rand (+.f64 a -1/3)) (sqrt.f64 (fma.f64 a 9 -3))))))))

simplify29.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
374×fma-def_binary64
353×associate-+l+_binary64
283×associate-/l*_binary64
276×times-frac_binary64
230×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01001065
13211019
21140867
Stop Event
1×node limit
Counts
177 → 163
Calls
Call 1
Inputs
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 (sqrt.f64 -1/3) rand)
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/4 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 9/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
(sqrt.f64 -3)
(+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3))
(-.f64 (+.f64 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)) (*.f64 81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))))
(-.f64 (+.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 81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))))
-3
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(-.f64 (*.f64 9 a) 3)
(*.f64 -1/3 (+.f64 1 (*.f64 (sqrt.f64 -1/3) rand)))
(-.f64 (+.f64 a (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)))) (+.f64 1/3 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand))))
(-.f64 (+.f64 a (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 (sqrt.f64 -1/3) (*.f64 a rand))))) (+.f64 1/3 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand))))
(-.f64 (+.f64 a (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (sqrt.f64 -1/3) (*.f64 a rand))))))) (+.f64 1/3 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand))))
a
a
(-.f64 a 1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(*.f64 (*.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(*.f64 (*.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
Outputs
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 (sqrt.f64 -1/3) rand)
(*.f64 rand (sqrt.f64 -1/3))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(+.f64 (*.f64 rand (sqrt.f64 -1/3)) (*.f64 -1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3))))
(fma.f64 rand (sqrt.f64 -1/3) (*.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) -1/2))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))))
(-.f64 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 3/2 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3))))))
(-.f64 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 3/2 (*.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) rand) (fma.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 -3/8 (*.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) rand)))))
(-.f64 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 (*.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) a) 9/8)))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/4 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 9/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
(-.f64 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 3/2 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/2 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (fma.f64 3/4 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 9/2 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) rand)))))))))
(-.f64 (*.f64 rand (sqrt.f64 -1/3)) (+.f64 (fma.f64 3/2 (*.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) rand) (fma.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 -3/8 (*.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) rand)))) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (fma.f64 9/2 (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) rand) (*.f64 -9/4 (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) rand))))))
(-.f64 (-.f64 (*.f64 rand (sqrt.f64 -1/3)) (fma.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 (*.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) a) 9/8))) (fma.f64 1/16 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) 9/4)))
(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 (*.f64 9/2 (/.f64 a (sqrt.f64 -3))) (sqrt.f64 -3)) (*.f64 81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))))
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (*.f64 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3))))
(-.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (*.f64 -27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3))))
(+.f64 (fma.f64 9/2 (/.f64 a (sqrt.f64 -3)) (sqrt.f64 -3)) (*.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3))))
(-.f64 (+.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 81/8 (/.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 3))))
(+.f64 (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 -81/8 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 3))))
(-.f64 (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 -27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3))))
(+.f64 (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)) (*.f64 27/8 (/.f64 (*.f64 a a) (sqrt.f64 -3)))))
-3
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(*.f64 9 a)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(-.f64 (*.f64 9 a) 3)
(fma.f64 9 a -3)
(*.f64 -1/3 (+.f64 1 (*.f64 (sqrt.f64 -1/3) rand)))
(+.f64 -1/3 (*.f64 -1/3 (*.f64 rand (sqrt.f64 -1/3))))
(*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))
(-.f64 (+.f64 a (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)))) (+.f64 1/3 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand))))
(-.f64 (+.f64 a (fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (*.f64 rand a)))) (+.f64 1/3 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/3)))
(+.f64 a (-.f64 (fma.f64 (sqrt.f64 -1/3) (*.f64 rand a) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (*.f64 rand a)))) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) 1/3)))
(+.f64 a (fma.f64 rand (*.f64 a (sqrt.f64 -1/3)) (fma.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))
(-.f64 (+.f64 a (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (*.f64 (sqrt.f64 -1/3) (*.f64 a rand))))) (+.f64 1/3 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand))))
(+.f64 a (-.f64 (fma.f64 1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (*.f64 (sqrt.f64 -1/3) (*.f64 rand a)))) (+.f64 1/3 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/3))))
(+.f64 (+.f64 (fma.f64 (sqrt.f64 -1/3) (*.f64 rand a) (/.f64 1/6 (/.f64 (sqrt.f64 -1/3) (*.f64 rand a)))) (*.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) rand))) (-.f64 a (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) 1/3)))
(+.f64 (fma.f64 rand (*.f64 a (sqrt.f64 -1/3)) (fma.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 a)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) a) (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1))))
(-.f64 (+.f64 a (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 (sqrt.f64 -1/3) (*.f64 a rand))))))) (+.f64 1/3 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand))))
(+.f64 a (-.f64 (fma.f64 1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 1/6 (/.f64 (*.f64 rand a) (sqrt.f64 -1/3)) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (fma.f64 1/8 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (*.f64 (sqrt.f64 -1/3) (*.f64 rand a)))))) (+.f64 1/3 (*.f64 (*.f64 rand (sqrt.f64 -1/3)) 1/3))))
(+.f64 a (+.f64 (fma.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 (fma.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1/3) 5)) rand) 1/48 (fma.f64 (sqrt.f64 -1/3) (*.f64 rand a) (*.f64 -3/8 (*.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1/3)) rand))))) (-.f64 (*.f64 -1/8 (*.f64 (/.f64 (*.f64 a a) (sqrt.f64 -1/3)) rand)) (*.f64 (fma.f64 rand (sqrt.f64 -1/3) 1) 1/3))))
(+.f64 a (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) a) (+.f64 (fma.f64 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) 1/48 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) -3/8)) (fma.f64 rand (*.f64 a (sqrt.f64 -1/3)) (fma.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) 1/6 (*.f64 -1/3 (fma.f64 rand (sqrt.f64 -1/3) 1)))))))
a
a
(-.f64 a 1/3)
(+.f64 a -1/3)
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (*.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (*.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (*.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (*.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)))
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (*.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (*.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (*.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (*.f64 rand (-.f64 a 1/3)) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (*.f64 (+.f64 a -1/3) (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))
(*.f64 (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) (*.f64 rand (+.f64 a -1/3)))
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (*.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (*.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(-.f64 (+.f64 a (*.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))))) (fma.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) 1/3))
(-.f64 (fma.f64 a (*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3)))) a) (fma.f64 (*.f64 rand 1/3) (sqrt.f64 (/.f64 1 (fma.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))

prune182.0ms (5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1585163
Fresh101
Picked101
Done000
Total1605165
Error
0.0b
Counts
165 → 5
Alt Table
StatusErrorProgram
5.8b
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
39.9b
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
▶0.1b
(+.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))
0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))
5.3b
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
Compiler

Compiled 3642 to 2847 computations (21.8% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series123.0ms (3.4%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
18.0ms
rand
@-inf
(fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)
18.0ms
rand
@inf
(*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))
18.0ms
rand
@0
(*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))
17.0ms
rand
@-inf
(*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))
17.0ms
rand
@inf
(fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)

rewrite45.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
536×unpow-prod-down_binary64
428×log-prod_binary64
280×pow2_binary64
194×expm1-udef_binary64
194×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
124335
2252235
Stop Event
1×node limit
Counts
3 → 93
Calls
Call 1
Inputs
(pow.f64 (fma.f64 a 9 -3) -1/2)
(*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1))
(fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (pow.f64 1 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1)) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/4) (pow.f64 (fma.f64 a 9 -3) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/4) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) -1/4) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 a 9 -3)) (fma.f64 a 9 -3)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/4) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 a 9 -3)) (fma.f64 a 9 -3)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 -1/2) 1) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) -1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2) 1) (pow.f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) 3) -1/4) (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) 2) -1/4) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (fma.f64 a 9 -3) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2)) -1/4) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1))) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1) (pow.f64 (fma.f64 a 9 -3) -1/4)) 1/3) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 2) 3) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 -1/4) 2) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) 2) -1/4) 2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 2) 1/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 3) -1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 3) -1/27))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) -1/3 -1/3)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 2) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 2) (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 2) 3) (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 3) 1) (+.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 2) (-.f64 1 (*.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand) 2) 1) (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) rand 1)))))))

simplify45.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
377×associate-*l*_binary64
344×associate-*r*_binary64
256×times-frac_binary64
221×associate-/l*_binary64
184×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01792100
15632002
218361736
Stop Event
1×node limit
Counts
153 → 174
Calls
Call 1
Inputs
(sqrt.f64 -1/3)
(+.f64 (sqrt.f64 -1/3) (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) a)))
(+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 27/8 (*.f64 (sqrt.f64 -1/3) (pow.f64 a 2))) (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) a))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 27/8 (*.f64 (sqrt.f64 -1/3) (pow.f64 a 2))) (+.f64 (*.f64 135/16 (*.f64 (sqrt.f64 -1/3) (pow.f64 a 3))) (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) a)))))
(exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))
(+.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) a)))
(+.f64 (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 2))) (+.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) a))))
(+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 3))) (+.f64 (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 2))) (+.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) a)))))
(exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)) (+.f64 (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))
(+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 3))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)) (+.f64 (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))
-1/3
(neg.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(neg.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(neg.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(*.f64 -1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(neg.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(neg.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(neg.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(*.f64 -1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(neg.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(neg.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(neg.f64 (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
(*.f64 -1/3 (+.f64 1 (*.f64 (sqrt.f64 -1/3) rand)))
(neg.f64 (+.f64 1/3 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand)) (*.f64 1/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand))))))
(neg.f64 (+.f64 1/3 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand))) (*.f64 9/8 (*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 2) rand)))))))
(neg.f64 (+.f64 1/3 (+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand)) (+.f64 (*.f64 45/16 (*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 3) rand))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand))) (*.f64 9/8 (*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 2) rand))))))))
(*.f64 -1/3 (+.f64 1 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))))))
(neg.f64 (+.f64 1/3 (+.f64 (*.f64 1/18 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) a)) (*.f64 1/3 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))))))))
(neg.f64 (+.f64 1/3 (+.f64 (*.f64 1/18 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) a)) (+.f64 (*.f64 1/3 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))))) (*.f64 1/72 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 2)))))))
(neg.f64 (+.f64 1/3 (+.f64 (*.f64 1/18 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) a)) (+.f64 (*.f64 1/3 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))))) (+.f64 (*.f64 5/1296 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 3))) (*.f64 1/72 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 2))))))))
(*.f64 -1/3 (+.f64 1 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))
(neg.f64 (+.f64 1/3 (+.f64 (*.f64 1/18 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) a)) (*.f64 1/3 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))))
(neg.f64 (+.f64 1/3 (+.f64 (*.f64 1/72 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (+.f64 (*.f64 1/18 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) a)) (*.f64 1/3 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))))))
(neg.f64 (+.f64 1/3 (+.f64 (*.f64 1/72 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (+.f64 (*.f64 5/1296 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (+.f64 (*.f64 1/18 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) a)) (*.f64 1/3 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))))))
1
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(+.f64 1 (*.f64 (sqrt.f64 -1/3) rand))
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)))))
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 -1/3) rand) (+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand))) (*.f64 27/8 (*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 2) rand))))))
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 -1/3) rand) (+.f64 (*.f64 135/16 (*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 3) rand))) (+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand))) (*.f64 27/8 (*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 2) rand)))))))
(+.f64 1 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) a)) (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))))))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) a)) (+.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) (*.f64 1/24 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 2))))))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) a)) (+.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) (+.f64 (*.f64 5/432 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 3))) (*.f64 1/24 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 2)))))))
(+.f64 1 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) a)) (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))
(+.f64 1 (+.f64 (*.f64 1/24 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) a)) (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))))
(+.f64 1 (+.f64 (*.f64 1/24 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (+.f64 (*.f64 5/432 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) a)) (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))))
Outputs
(sqrt.f64 -1/3)
(+.f64 (sqrt.f64 -1/3) (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) a)))
(fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (sqrt.f64 -1/3))
(+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 27/8 (*.f64 (sqrt.f64 -1/3) (pow.f64 a 2))) (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) a))))
(+.f64 (sqrt.f64 -1/3) (fma.f64 27/8 (*.f64 (sqrt.f64 -1/3) (*.f64 a a)) (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) a))))
(+.f64 (sqrt.f64 -1/3) (fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) a) (*.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a a) 27/8))))
(+.f64 (sqrt.f64 -1/3) (*.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 a 3/2) (*.f64 a (*.f64 a 27/8)))))
(+.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 27/8 (*.f64 (sqrt.f64 -1/3) (pow.f64 a 2))) (+.f64 (*.f64 135/16 (*.f64 (sqrt.f64 -1/3) (pow.f64 a 3))) (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) a)))))
(+.f64 (sqrt.f64 -1/3) (fma.f64 27/8 (*.f64 (sqrt.f64 -1/3) (*.f64 a a)) (fma.f64 135/16 (*.f64 (sqrt.f64 -1/3) (pow.f64 a 3)) (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) a)))))
(+.f64 (sqrt.f64 -1/3) (fma.f64 27/8 (*.f64 (sqrt.f64 -1/3) (*.f64 a a)) (fma.f64 135/16 (*.f64 (sqrt.f64 -1/3) (pow.f64 a 3)) (*.f64 (sqrt.f64 -1/3) (*.f64 a 3/2)))))
(+.f64 (*.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 135/16 (pow.f64 a 3)) (*.f64 3/2 a))) (*.f64 (+.f64 (*.f64 (*.f64 27/8 a) a) 1) (sqrt.f64 -1/3)))
(exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))
(+.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) a)))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) a)))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))))
(+.f64 (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 2))) (+.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) a))))
(fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) (*.f64 a a)) (+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) a))))
(fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) (*.f64 a a)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (+.f64 1/6 (/.f64 1/24 a))))
(+.f64 (*.f64 5/432 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 3))) (+.f64 (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (pow.f64 a 2))) (+.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))) a)))))
(fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) (pow.f64 a 3)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) (*.f64 a a)) (+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) (*.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) a)))))
(fma.f64 5/432 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) (pow.f64 a 3)) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) (*.f64 a a)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) (*.f64 a a)) (+.f64 1/24 (/.f64 5/432 a))))
(exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))
(+.f64 (*.f64 1/6 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) a)) (+.f64 (*.f64 1/24 (/.f64 (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (pow.f64 a 2))) (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (fma.f64 1/24 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 a a)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (+.f64 1/6 (/.f64 1/24 a))))
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(neg.f64 (+.f64 1/3 (+.f64 (*.f64 1/72 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (+.f64 (*.f64 5/1296 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (+.f64 (*.f64 1/18 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) a)) (*.f64 1/3 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))))))
(+.f64 -1/3 (neg.f64 (fma.f64 1/72 (/.f64 rand (/.f64 (*.f64 a a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (fma.f64 5/1296 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand) (pow.f64 a 3)) (fma.f64 1/18 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (*.f64 1/3 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand)))))))
(-.f64 -1/3 (fma.f64 1/72 (*.f64 (/.f64 rand (*.f64 a a)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (fma.f64 5/1296 (*.f64 (/.f64 rand (pow.f64 a 3)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (fma.f64 1/3 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand) (*.f64 1/18 (*.f64 (/.f64 rand a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))))
(-.f64 -1/3 (+.f64 (fma.f64 (*.f64 1/3 rand) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) (*.f64 (/.f64 (*.f64 rand 1/18) a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (/.f64 rand a)) (+.f64 1/72 (/.f64 5/1296 a)))))
1
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))))
(*.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))))
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(+.f64 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 9 a -3))) 1)
(fma.f64 rand (sqrt.f64 (/.f64 1 (fma.f64 a 9 -3))) 1)
(+.f64 1 (*.f64 (sqrt.f64 -1/3) rand))
(fma.f64 (sqrt.f64 -1/3) rand 1)
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)))))
(+.f64 1 (fma.f64 (sqrt.f64 -1/3) rand (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)))))
(+.f64 (fma.f64 (sqrt.f64 -1/3) rand 1) (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand))))
(+.f64 1 (*.f64 (sqrt.f64 -1/3) (+.f64 rand (*.f64 3/2 (*.f64 a rand)))))
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 -1/3) rand) (+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand))) (*.f64 27/8 (*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 2) rand))))))
(+.f64 1 (fma.f64 (sqrt.f64 -1/3) rand (fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (*.f64 27/8 (*.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a a) rand))))))
(+.f64 (fma.f64 (sqrt.f64 -1/3) rand 1) (fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (*.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a (*.f64 a rand)) 27/8))))
(+.f64 1 (fma.f64 (sqrt.f64 -1/3) rand (*.f64 rand (*.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 a 3/2) (*.f64 a (*.f64 a 27/8)))))))
(+.f64 1 (+.f64 (*.f64 (sqrt.f64 -1/3) rand) (+.f64 (*.f64 135/16 (*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 3) rand))) (+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand))) (*.f64 27/8 (*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 2) rand)))))))
(+.f64 1 (fma.f64 (sqrt.f64 -1/3) rand (fma.f64 135/16 (*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 3) rand)) (fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (*.f64 27/8 (*.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a a) rand)))))))
(+.f64 (fma.f64 (sqrt.f64 -1/3) rand 1) (fma.f64 135/16 (*.f64 (sqrt.f64 -1/3) (*.f64 (pow.f64 a 3) rand)) (fma.f64 3/2 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (*.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 a (*.f64 a rand)) 27/8)))))
(+.f64 1 (+.f64 (*.f64 rand (*.f64 (sqrt.f64 -1/3) (+.f64 (*.f64 a 3/2) (*.f64 a (*.f64 a 27/8))))) (*.f64 (sqrt.f64 -1/3) (+.f64 rand (*.f64 (*.f64 (pow.f64 a 3) rand) 135/16)))))
(+.f64 1 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))))
(+.f64 1 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) rand))
(fma.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) rand 1)
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) a)) (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a))))))))
(+.f64 1 (fma.f64 1/6 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) rand) a) (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) rand)))
(+.f64 (fma.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) rand 1) (*.f64 1/6 (*.f64 (/.f64 rand a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))))))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) a)) (+.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) (*.f64 1/24 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 2))))))
(+.f64 1 (fma.f64 1/6 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) rand) a) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) rand) (*.f64 a a))))))
(+.f64 1 (fma.f64 1/6 (*.f64 (/.f64 rand a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))) (fma.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) rand (*.f64 (/.f64 1/24 a) (*.f64 (/.f64 rand a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))))))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) rand) (*.f64 (*.f64 (/.f64 rand a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))) (+.f64 (/.f64 1/24 a) 1/6))))
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) a)) (+.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) (+.f64 (*.f64 5/432 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 3))) (*.f64 1/24 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 9) (log.f64 (/.f64 1 a)))))) (pow.f64 a 2)))))))
(+.f64 1 (fma.f64 1/6 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) rand) a) (fma.f64 rand (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) (fma.f64 5/432 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) rand) (pow.f64 a 3)) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 9) (neg.f64 (log.f64 a)))) rand) (*.f64 a a)))))))
(+.f64 1 (fma.f64 1/6 (*.f64 (/.f64 rand a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))) (fma.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) rand (fma.f64 5/432 (*.f64 (/.f64 rand (pow.f64 a 3)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))) (*.f64 (/.f64 1/24 a) (*.f64 (/.f64 rand a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))))))))
(+.f64 1 (fma.f64 1/6 (*.f64 (/.f64 rand a) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a)))) (fma.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) rand (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 9) (log.f64 a))) a) (/.f64 rand a)) (+.f64 1/24 (/.f64 5/432 a))))))
(+.f64 1 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))
(+.f64 1 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand))
(fma.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand 1)
(+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) a)) (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))
(+.f64 1 (fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand)))
(+.f64 1 (fma.f64 1/6 (*.f64 (/.f64 rand a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand)))
(+.f64 1 (fma.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand (*.f64 (/.f64 (*.f64 rand 1/6) a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))
(+.f64 1 (+.f64 (*.f64 1/24 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) a)) (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))))))
(+.f64 1 (fma.f64 1/24 (/.f64 rand (/.f64 (*.f64 a a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand))))
(+.f64 1 (fma.f64 1/24 (*.f64 (/.f64 rand (*.f64 a a)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (fma.f64 1/6 (*.f64 (/.f64 rand a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand))))
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) rand) (+.f64 1/6 (/.f64 1/24 a))) (fma.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand 1))
(+.f64 1 (+.f64 (*.f64 1/24 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 2))) (+.f64 (*.f64 5/432 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (pow.f64 a 3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) a)) (*.f64 rand (exp.f64 (*.f64 -1/2 (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))))
(+.f64 1 (fma.f64 1/24 (/.f64 rand (/.f64 (*.f64 a a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (fma.f64 5/432 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand) (pow.f64 a 3)) (fma.f64 1/6 (/.f64 rand (/.f64 a (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))))) (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand)))))
(+.f64 1 (fma.f64 1/24 (*.f64 (/.f64 rand (*.f64 a a)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (fma.f64 5/432 (*.f64 (/.f64 rand (pow.f64 a 3)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (fma.f64 1/6 (*.f64 (/.f64 rand a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))) (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand)))))
(+.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) a) (/.f64 rand a)) (+.f64 1/24 (/.f64 5/432 a))) (+.f64 1 (fma.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a)))) rand (*.f64 (/.f64 (*.f64 rand 1/6) a) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -9) (log.f64 (/.f64 -1 a))))))))

prune481.0ms (13.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3620362
Fresh044
Picked011
Done000
Total3625367
Error
0.0b
Counts
367 → 5
Alt Table
StatusErrorProgram
5.8b
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
39.9b
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
✓0.1b
(+.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))
▶0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))
5.3b
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
Compiler

Compiled 12591 to 10172 computations (19.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 a 9 -3)
0.2b
(sqrt.f64 (fma.f64 a 9 -3))
✓0.2b
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
✓1.0b
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)

series40.0ms (1.1%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
5.0ms
rand
@-inf
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)
5.0ms
rand
@inf
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)
5.0ms
rand
@0
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)
4.0ms
a
@inf
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)
4.0ms
a
@-inf
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)

rewrite44.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
869×log1p-expm1-u_binary64
869×expm1-log1p-u_binary64
99×add-sqr-sqrt_binary64
94×add-log-exp_binary64
93×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
120920
2240220
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 rand (/.f64 1 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(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 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -2)) (cbrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(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 (pow.f64 (sqrt.f64 (fma.f64 a 9 -3)) -1) (pow.f64 (/.f64 1 rand) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a 9 -3) (*.f64 rand rand))) -1) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) -1) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) -1))))) (#(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))) (/.f64 (cbrt.f64 rand) (cbrt.f64 (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 *.f64 (/.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) 1/4)) (/.f64 (sqrt.f64 rand) (pow.f64 (fma.f64 a 9 -3) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 a 9 -3))) rand)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3)))) (neg.f64 rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 rand rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 rand) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (pow.f64 (fma.f64 a 9 -3) 1/4)) (pow.f64 (fma.f64 a 9 -3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand 1) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 1 rand))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 rand (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 1 (cbrt.f64 (/.f64 (fma.f64 a 9 -3) (*.f64 rand rand)))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -2))))) (#(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 cbrt.f64 (/.f64 (pow.f64 rand 3) (pow.f64 (fma.f64 a 9 -3) 3/2)))))) (#(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 exp.f64 (-.f64 (log.f64 rand) (log.f64 (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(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 expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a 9 -3)) (/.f64 1 rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) (cbrt.f64 (/.f64 (fma.f64 a 9 -3) (*.f64 rand rand))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 a 9 -3) (*.f64 rand rand))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))) (#(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))) (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))) (#(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) (/.f64 1 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (fma.f64 a 9 -3))) (/.f64 1 (neg.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) 1) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) rand))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 rand rand))) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) (cbrt.f64 (*.f64 rand rand))) (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (cbrt.f64 (*.f64 rand rand))) (/.f64 (pow.f64 (fma.f64 a 9 -3) 1/4) (cbrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 rand)) (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 a 9 -3)) (sqrt.f64 rand)) (/.f64 (cbrt.f64 (sqrt.f64 (fma.f64 a 9 -3))) (sqrt.f64 rand)))))) (#(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 rand (sqrt.f64 (fma.f64 a 9 -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) (neg.f64 rand)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (fma.f64 a 9 -3) (*.f64 rand rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 a 9 -3) 3/2) (pow.f64 rand 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)))))))

simplify29.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
816×fma-def_binary64
624×cancel-sign-sub-inv_binary64
388×fma-neg_binary64
257×times-frac_binary64
229×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058563
1163514
2523508
32398498
Stop Event
1×node limit
Counts
108 → 94
Calls
Call 1
Inputs
(/.f64 rand (sqrt.f64 -3))
(-.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 9/2 (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 -3) 3))))
(-.f64 (+.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 243/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 9/2 (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 -3) 3))))
(-.f64 (+.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 243/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 9/2 (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 3645/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -3) 7)))))
(*.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 (sqrt.f64 -3) rand)
(+.f64 (*.f64 9/2 (/.f64 a (*.f64 rand (sqrt.f64 -3)))) (/.f64 (sqrt.f64 -3) rand))
(-.f64 (+.f64 (*.f64 9/2 (/.f64 a (*.f64 rand (sqrt.f64 -3)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 81/8 (/.f64 (pow.f64 a 2) (*.f64 rand (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (+.f64 (*.f64 729/16 (/.f64 (pow.f64 a 3) (*.f64 rand (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 9/2 (/.f64 a (*.f64 rand (sqrt.f64 -3)))) (/.f64 (sqrt.f64 -3) rand))) (*.f64 81/8 (/.f64 (pow.f64 a 2) (*.f64 rand (pow.f64 (sqrt.f64 -3) 3)))))
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
Outputs
(/.f64 rand (sqrt.f64 -3))
(-.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 9/2 (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 -3) 3))))
(+.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 -9/2 (/.f64 (*.f64 rand a) (pow.f64 (sqrt.f64 -3) 3))))
(-.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 -3/2 (/.f64 (*.f64 rand a) (sqrt.f64 -3))))
(+.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a))))
(fma.f64 3/2 (/.f64 (*.f64 rand a) (sqrt.f64 -3)) (/.f64 rand (sqrt.f64 -3)))
(-.f64 (+.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 243/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 9/2 (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 -3) 3))))
(+.f64 (/.f64 rand (sqrt.f64 -3)) (-.f64 (*.f64 243/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -3) 5) rand))) (*.f64 9/2 (/.f64 (*.f64 rand a) (pow.f64 (sqrt.f64 -3) 3)))))
(-.f64 (fma.f64 243/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 5)) rand) (/.f64 rand (sqrt.f64 -3))) (*.f64 -3/2 (/.f64 (*.f64 rand a) (sqrt.f64 -3))))
(+.f64 (/.f64 rand (sqrt.f64 -3)) (fma.f64 243/8 (*.f64 rand (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)))))
(fma.f64 243/8 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 -3) 5) (*.f64 rand a))) (fma.f64 3/2 (/.f64 (*.f64 rand a) (sqrt.f64 -3)) (/.f64 rand (sqrt.f64 -3))))
(-.f64 (+.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 243/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 9/2 (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 3645/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -3) 7)))))
(-.f64 (+.f64 (/.f64 rand (sqrt.f64 -3)) (*.f64 243/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -3) 5) rand)))) (fma.f64 9/2 (/.f64 (*.f64 rand a) (pow.f64 (sqrt.f64 -3) 3)) (*.f64 3645/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -3) 7) rand)))))
(-.f64 (fma.f64 243/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 5)) rand) (/.f64 rand (sqrt.f64 -3))) (fma.f64 3645/16 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 7)) (*.f64 -3/2 (/.f64 (*.f64 rand a) (sqrt.f64 -3)))))
(-.f64 (fma.f64 243/8 (*.f64 rand (/.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 5))) (/.f64 rand (sqrt.f64 -3))) (fma.f64 -3/2 (/.f64 rand (/.f64 (sqrt.f64 -3) a)) (/.f64 (*.f64 3645/16 (pow.f64 a 3)) (/.f64 (pow.f64 (sqrt.f64 -3) 7) rand))))
(fma.f64 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -3) 7) (pow.f64 a 3))) -3645/16 (fma.f64 243/8 (/.f64 a (/.f64 (pow.f64 (sqrt.f64 -3) 5) (*.f64 rand a))) (fma.f64 3/2 (/.f64 (*.f64 rand a) (sqrt.f64 -3)) (/.f64 rand (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 (sqrt.f64 -3) rand)
(+.f64 (*.f64 9/2 (/.f64 a (*.f64 rand (sqrt.f64 -3)))) (/.f64 (sqrt.f64 -3) rand))
(fma.f64 9/2 (/.f64 a (*.f64 rand (sqrt.f64 -3))) (/.f64 (sqrt.f64 -3) rand))
(fma.f64 9/2 (/.f64 (/.f64 a rand) (sqrt.f64 -3)) (/.f64 (sqrt.f64 -3) rand))
(-.f64 (+.f64 (*.f64 9/2 (/.f64 a (*.f64 rand (sqrt.f64 -3)))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 81/8 (/.f64 (pow.f64 a 2) (*.f64 rand (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 9/2 (/.f64 a (*.f64 rand (sqrt.f64 -3))) (/.f64 (sqrt.f64 -3) rand)) (*.f64 -81/8 (/.f64 (/.f64 (*.f64 a a) rand) (pow.f64 (sqrt.f64 -3) 3))))
(fma.f64 9/2 (/.f64 a (*.f64 rand (sqrt.f64 -3))) (+.f64 (/.f64 (sqrt.f64 -3) rand) (*.f64 (/.f64 a (/.f64 (*.f64 (sqrt.f64 -3) (*.f64 -3 rand)) a)) -81/8)))
(+.f64 (fma.f64 9/2 (/.f64 (/.f64 a rand) (sqrt.f64 -3)) (/.f64 (sqrt.f64 -3) rand)) (*.f64 27/8 (/.f64 a (*.f64 (sqrt.f64 -3) (/.f64 rand a)))))
(fma.f64 9/2 (/.f64 (/.f64 a rand) (sqrt.f64 -3)) (fma.f64 27/8 (/.f64 (*.f64 a a) (*.f64 rand (sqrt.f64 -3))) (/.f64 (sqrt.f64 -3) rand)))
(-.f64 (+.f64 (*.f64 729/16 (/.f64 (pow.f64 a 3) (*.f64 rand (pow.f64 (sqrt.f64 -3) 5)))) (+.f64 (*.f64 9/2 (/.f64 a (*.f64 rand (sqrt.f64 -3)))) (/.f64 (sqrt.f64 -3) rand))) (*.f64 81/8 (/.f64 (pow.f64 a 2) (*.f64 rand (pow.f64 (sqrt.f64 -3) 3)))))
(+.f64 (fma.f64 729/16 (/.f64 (pow.f64 a 3) (*.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 9/2 (/.f64 a (*.f64 rand (sqrt.f64 -3))) (/.f64 (sqrt.f64 -3) rand))) (*.f64 -81/8 (/.f64 (/.f64 (*.f64 a a) rand) (pow.f64 (sqrt.f64 -3) 3))))
(fma.f64 729/16 (/.f64 (pow.f64 a 3) (*.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 9/2 (/.f64 a (*.f64 rand (sqrt.f64 -3))) (+.f64 (/.f64 (sqrt.f64 -3) rand) (*.f64 (/.f64 a (/.f64 (*.f64 (sqrt.f64 -3) (*.f64 -3 rand)) a)) -81/8))))
(+.f64 (fma.f64 9/2 (/.f64 (/.f64 a rand) (sqrt.f64 -3)) (fma.f64 (/.f64 729/16 (pow.f64 (sqrt.f64 -3) 5)) (/.f64 (pow.f64 a 3) rand) (/.f64 (sqrt.f64 -3) rand))) (*.f64 27/8 (/.f64 a (*.f64 (sqrt.f64 -3) (/.f64 rand a)))))
(fma.f64 9/2 (/.f64 (/.f64 a rand) (sqrt.f64 -3)) (fma.f64 729/16 (/.f64 (pow.f64 a 3) (*.f64 rand (pow.f64 (sqrt.f64 -3) 5))) (fma.f64 27/8 (/.f64 (*.f64 a a) (*.f64 rand (sqrt.f64 -3))) (/.f64 (sqrt.f64 -3) rand))))
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)
(*.f64 (/.f64 1 rand) (sqrt.f64 (-.f64 (*.f64 9 a) 3)))
(*.f64 (/.f64 1 rand) (sqrt.f64 (fma.f64 9 a -3)))
(/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand)

prune174.0ms (4.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh033
Picked011
Done011
Total1565161
Error
0.0b
Counts
161 → 5
Alt Table
StatusErrorProgram
5.8b
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
39.9b
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
✓0.1b
(+.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))
✓0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))
▶5.3b
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
Compiler

Compiled 3436 to 2752 computations (19.9% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
✓0.3b
(/.f64 1 (-.f64 (*.f64 9 a) 3))
✓0.3b
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
✓5.1b
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))

series81.0ms (2.2%)

Counts
4 → 24
Calls

21 calls:

TimeVariablePointExpression
5.0ms
rand
@0
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
5.0ms
rand
@-inf
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
5.0ms
a
@-inf
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
5.0ms
rand
@0
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
5.0ms
rand
@-inf
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))

rewrite51.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
257×expm1-udef_binary64
257×log1p-udef_binary64
214×log-pow_binary64
165×fma-def_binary64
149×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01553
131544
2369744
Stop Event
1×node limit
Counts
4 → 77
Calls
Call 1
Inputs
(*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
(*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3)))))
(/.f64 1 (-.f64 (*.f64 9 a) 3))
(*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a 9 -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a 9 -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a 9 -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a 9 -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a 9 -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a 9 -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a rand) 3) (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3) (pow.f64 (*.f64 a rand) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a 9 -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a rand) (sqrt.f64 (fma.f64 a 9 -3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a 9 -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 rand 1/3) 1) (sqrt.f64 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a 9 -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a 9 -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a 9 -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a 9 -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a 9 -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a 9 -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a 9 -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a 9 -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 rand 1/3) (sqrt.f64 (fma.f64 a 9 -3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 a 9 -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 a 9 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (pow.f64 (fma.f64 a 9 -3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -2)) (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)) (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) 2)) -1) (pow.f64 (cbrt.f64 (fma.f64 a 9 -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (/.f64 1 (fma.f64 81 (*.f64 a a) -9)) (fma.f64 a 9 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) (cbrt.f64 (/.f64 1 (fma.f64 a 9 -3)))) (cbrt.f64 (pow.f64 (fma.f64 a 9 -3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a 9 -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 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 (/.f64 1 (fma.f64 a 9 -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (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 (/.f64 1 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 a 9 -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a 9 -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 a 9 -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 a 9 -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 a 9 -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))) (#(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 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 3) 1/3)))) (#(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 sqrt.f64 (pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3))) 2))))) (#(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 cbrt.f64 (*.f64 (pow.f64 rand 3) (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 a 9 -3) -1/2) 3) (pow.f64 rand 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 log1p.f64 (expm1.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))))))

simplify27.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
482×fma-def_binary64
347×associate-/l*_binary64
335×times-frac_binary64
293×associate-*r*_binary64
232×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0113762
1375733
21422609
Stop Event
1×node limit
Counts
101 → 113
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 -1/3) (*.f64 a rand))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3))))))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (+.f64 (*.f64 9/2 (/.f64 (*.f64 (pow.f64 a 4) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 4) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/4 (/.f64 (*.f64 (pow.f64 a 4) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
(*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand))
(-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand)) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))))
(-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
-1/3
(neg.f64 (+.f64 1/3 a))
(neg.f64 (+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 1/3 a)))
(neg.f64 (+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 (*.f64 9 (pow.f64 a 3)) (+.f64 1/3 a))))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(*.f64 (sqrt.f64 -1/3) rand)
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/4 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 9/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
Outputs
(*.f64 (sqrt.f64 -1/3) (*.f64 a rand))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (/.f64 (*.f64 1/2 (*.f64 rand (*.f64 a a))) (sqrt.f64 -1/3)))
(fma.f64 (sqrt.f64 -1/3) (*.f64 a rand) (*.f64 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3)) -1/2))
(fma.f64 (sqrt.f64 -1/3) (*.f64 a rand) (*.f64 (*.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) a) -1/2))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3))))))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (fma.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/8 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 3/2 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) rand))))))
(-.f64 (fma.f64 (sqrt.f64 -1/3) (*.f64 a rand) (*.f64 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3)) -1/2)) (fma.f64 3/2 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (pow.f64 a 3))) (*.f64 -3/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (pow.f64 a 3))))))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (fma.f64 1/2 (*.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) a) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) 9/8)))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (+.f64 (*.f64 9/2 (/.f64 (*.f64 (pow.f64 a 4) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 4) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/4 (/.f64 (*.f64 (pow.f64 a 4) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (fma.f64 9/2 (/.f64 (pow.f64 a 4) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/16 (/.f64 (pow.f64 a 4) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (fma.f64 3/4 (/.f64 (*.f64 rand (pow.f64 a 4)) (pow.f64 (sqrt.f64 -1/3) 3)) (fma.f64 1/8 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 3/2 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) rand)))))))))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (fma.f64 9/2 (*.f64 (/.f64 (pow.f64 a 4) (sqrt.f64 -1/3)) rand) (+.f64 (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (*.f64 -9/4 (*.f64 (/.f64 (pow.f64 a 4) (sqrt.f64 -1/3)) rand))) (fma.f64 1/2 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3)) (fma.f64 3/2 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (pow.f64 a 3))) (*.f64 -3/8 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (pow.f64 a 3)))))))))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 a rand)) (fma.f64 9/2 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 4)) (fma.f64 1/2 (*.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) a) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -1/3) 5)) rand) (fma.f64 -9/4 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 4)) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) 9/8))))))
(*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand))
(*.f64 (sqrt.f64 -1/3) (*.f64 rand 1/3))
(*.f64 rand (*.f64 (sqrt.f64 -1/3) 1/3))
(-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand)) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand)) (/.f64 (*.f64 1/6 (*.f64 a rand)) (sqrt.f64 -1/3)))
(fma.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) -1/6))
(fma.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) -1/6 (*.f64 rand (*.f64 (sqrt.f64 -1/3) 1/3)))
(-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))))
(-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (/.f64 (*.f64 1/6 (*.f64 a rand)) (sqrt.f64 -1/3)))))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 rand 1/3)) (fma.f64 1/2 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 -1/8 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3))))))
(-.f64 (*.f64 rand (*.f64 (sqrt.f64 -1/3) 1/3)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 (*.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) a) 3/8)))
(-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
(-.f64 (*.f64 1/3 (*.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/24 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 1/2 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/48 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (fma.f64 1/4 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 3/2 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) rand)))))))))
(-.f64 (*.f64 (sqrt.f64 -1/3) (*.f64 rand 1/3)) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3)) (fma.f64 1/6 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 -1/8 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3))))) (fma.f64 1/48 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (fma.f64 3/2 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (pow.f64 a 3))) (*.f64 -3/4 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (pow.f64 a 3))))))))
(-.f64 (-.f64 (*.f64 rand (*.f64 (sqrt.f64 -1/3) 1/3)) (*.f64 (*.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) a) 3/8)) (fma.f64 1/6 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/48 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) 3/4))))
-1/3
(neg.f64 (+.f64 1/3 a))
(+.f64 -1/3 (neg.f64 a))
(-.f64 -1/3 a)
(neg.f64 (+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 1/3 a)))
(neg.f64 (fma.f64 3 (*.f64 a a) (+.f64 a 1/3)))
(-.f64 (-.f64 -1/3 a) (*.f64 a (*.f64 a 3)))
(-.f64 (fma.f64 (*.f64 a a) -3 -1/3) a)
(neg.f64 (+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 (*.f64 9 (pow.f64 a 3)) (+.f64 1/3 a))))
(neg.f64 (fma.f64 3 (*.f64 a a) (fma.f64 9 (pow.f64 a 3) (+.f64 a 1/3))))
(-.f64 (*.f64 (*.f64 a a) -3) (fma.f64 (pow.f64 a 3) 9 (+.f64 a 1/3)))
(+.f64 (-.f64 (fma.f64 (*.f64 a a) -3 -1/3) a) (*.f64 (pow.f64 a 3) -9))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (/.f64 (/.f64 1/27 a) a) (/.f64 1/9 a))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/81 (pow.f64 a 3)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (/.f64 (/.f64 1/27 a) a) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(+.f64 (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/243 (pow.f64 a 4)))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3)))) (/.f64 1/243 (pow.f64 a 4)))
(+.f64 (+.f64 (/.f64 (/.f64 1/27 a) a) (/.f64 1/9 a)) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4))))
(/.f64 1/9 a)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a))
(+.f64 (/.f64 (/.f64 1/27 a) a) (/.f64 1/9 a))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/81 (pow.f64 a 3)))
(+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (/.f64 (/.f64 1/27 a) a) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3))))
(+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 a 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 a 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 a 2))) (*.f64 1/9 (/.f64 1 a)))))
(+.f64 (+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (/.f64 1/9 a)) (/.f64 1/81 (pow.f64 a 3))) (/.f64 1/243 (pow.f64 a 4)))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 a a)) (+.f64 (/.f64 1/9 a) (/.f64 1/81 (pow.f64 a 3)))) (/.f64 1/243 (pow.f64 a 4)))
(+.f64 (+.f64 (/.f64 (/.f64 1/27 a) a) (/.f64 1/9 a)) (+.f64 (/.f64 1/81 (pow.f64 a 3)) (/.f64 1/243 (pow.f64 a 4))))
(*.f64 (sqrt.f64 -1/3) rand)
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (/.f64 (*.f64 1/2 (*.f64 a rand)) (sqrt.f64 -1/3)))
(fma.f64 (sqrt.f64 -1/3) rand (/.f64 (*.f64 -1/2 a) (/.f64 (sqrt.f64 -1/3) rand)))
(fma.f64 (sqrt.f64 -1/3) rand (*.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) -1/2))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))))))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 3/2 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (/.f64 (*.f64 1/2 (*.f64 a rand)) (sqrt.f64 -1/3)))))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3)) 3/2 (fma.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (*.f64 -3/8 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3))))))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (*.f64 (*.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) a) 9/8)))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a 2) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (pow.f64 a 2) rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 a rand) (sqrt.f64 -1/3))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 5))) (+.f64 (*.f64 3/4 (/.f64 (*.f64 (pow.f64 a 3) rand) (pow.f64 (sqrt.f64 -1/3) 3))) (*.f64 9/2 (/.f64 (*.f64 (pow.f64 a 3) rand) (sqrt.f64 -1/3)))))))))
(-.f64 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 1/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1/3) 3) rand)) (fma.f64 3/2 (/.f64 (*.f64 a a) (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/16 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) rand)) (fma.f64 3/4 (/.f64 (*.f64 rand (pow.f64 a 3)) (pow.f64 (sqrt.f64 -1/3) 3)) (*.f64 (/.f64 (pow.f64 a 3) (/.f64 (sqrt.f64 -1/3) rand)) 9/2)))))))
(-.f64 (-.f64 (*.f64 (sqrt.f64 -1/3) rand) (fma.f64 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3)) 3/2 (*.f64 -3/8 (/.f64 (*.f64 a (*.f64 a rand)) (sqrt.f64 -1/3))))) (fma.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1/3)) rand) (fma.f64 1/16 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (fma.f64 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (pow.f64 a 3))) 9/2 (*.f64 -9/4 (/.f64 rand (/.f64 (sqrt.f64 -1/3) (pow.f64 a 3))))))))
(-.f64 (-.f64 (*.f64 (sqrt.f64 -1/3) rand) (*.f64 (*.f64 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) a) 9/8)) (fma.f64 1/2 (/.f64 a (/.f64 (sqrt.f64 -1/3) rand)) (fma.f64 1/16 (/.f64 rand (/.f64 (pow.f64 (sqrt.f64 -1/3) 5) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 -1/3)) (pow.f64 a 3)) 9/4))))

prune176.0ms (4.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh022
Picked011
Done022
Total1565161
Error
0.0b
Counts
161 → 5
Alt Table
StatusErrorProgram
5.8b
(/.f64 (*.f64 (-.f64 1 (/.f64 (*.f64 rand rand) (fma.f64 a 9 -3))) (+.f64 a -1/3)) (-.f64 1 (/.f64 rand (sqrt.f64 (fma.f64 a 9 -3)))))
39.9b
(/.f64 (*.f64 (+.f64 (pow.f64 a 3) -1/27) (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (fma.f64 a a (+.f64 1/9 (*.f64 a 1/3))))
✓0.1b
(+.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))
✓0.1b
(*.f64 (-.f64 a 1/3) (+.f64 1 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a 9 -3)) rand) -1)))
✓5.3b
(-.f64 (+.f64 a (*.f64 (*.f64 a rand) (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) (+.f64 (*.f64 1/3 (*.f64 rand (sqrt.f64 (/.f64 1 (-.f64 (*.f64 9 a) 3))))) 1/3))
Compiler

Compiled 5490 to 4195 computations (23.6% saved)

regimes445.0ms (12.3%)

Accuracy

Total 0.1b remaining (68.9%)

Threshold costs 0.1b (68.9%)

Counts
111 → 1
Compiler

Compiled 8994 to 7330 computations (18.5% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
11932
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))
Outputs
(+.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (*.f64 -1/3 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)))
(+.f64 (*.f64 a (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1)) (*.f64 (fma.f64 rand (pow.f64 (fma.f64 a 9 -3) -1/2) 1) -1/3))

end111.0ms (3.1%)

Stop Event
1×fuel
Compiler

Compiled 175 to 139 computations (20.6% saved)

Profiling

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