Details

Time bar (total: 2.3s)

analyze3.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample816.0ms (36%)

Results
803.0ms8256×body256valid
Bogosity

preprocess15.0ms (0.7%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 x (/.f64 1 3))
Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (/.f64 1 3))
Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)

eval3.0ms (0.1%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x 1/3)
Compiler

Compiled 4 to 3 computations (25% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x 1/3)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite35.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
473×pow1_binary64
468×add-sqr-sqrt_binary64
456×*-un-lft-identity_binary64
446×add-log-exp_binary64
446×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1914
211504
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(+.f64 x 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))))

simplify44.0ms (1.9%)

Algorithm
egg-herbie
Rules
635×distribute-rgt-in_binary64
608×distribute-lft-in_binary64
605×fma-def_binary64
426×associate-/l*_binary64
321×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077344
1187314
2576266
33122266
Stop Event
node limit
Counts
42 → 37
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1/3 x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)

eval8.0ms (0.3%)

Compiler

Compiled 319 to 235 computations (26.3% saved)

prune6.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33437
Fresh000
Picked011
Done000
Total33538
Error
0b
Counts
38 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
16.5b
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
0.0b
(+.f64 x 1/3)
16.6b
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
30.0b
x
32.5b
1/3
Compiler

Compiled 33 to 24 computations (27.3% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x -1/3)
0.0b
(fma.f64 x x -1/9)
0.0b
(/.f64 1 (+.f64 x -1/3))
15.3b
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
Compiler

Compiled 27 to 19 computations (29.6% saved)

series5.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
1.0ms
x
@0
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
0.0ms
x
@inf
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
0.0ms
x
@inf
(/.f64 1 (+.f64 x -1/3))
0.0ms
x
@0
(/.f64 1 (+.f64 x -1/3))

rewrite90.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
906×pow1_binary64
848×add-log-exp_binary64
848×log1p-expm1-u_binary64
848×expm1-log1p-u_binary64
834×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0927
119420
2237420
Stop Event
node limit
Counts
4 → 115
Calls
Call 1
Inputs
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (+.f64 x -1/3))
(fma.f64 x x -1/9)
(+.f64 x -1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x -1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (/.f64 (+.f64 x -1/3) (cbrt.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (+.f64 x -1/3) (sqrt.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) -1/27) (+.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/9) -1) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3) (pow.f64 (fma.f64 x x -1/9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 x -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (cbrt.f64 (/.f64 1 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1/3) -1/2) (pow.f64 (+.f64 x -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x -1/3)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1/3) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1/3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/9 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x -1/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1/9)) (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1/729) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1/81 (*.f64 (*.f64 x x) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x x) 3) -1/729) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 1/81 (*.f64 (*.f64 x x) -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1/81) (+.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1/81) (-.f64 (*.f64 x x) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -1/9)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (/.f64 1 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x -1/3)) (pow.f64 (+.f64 x -1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)))))

simplify53.0ms (2.3%)

Algorithm
egg-herbie
Rules
531×fma-def_binary64
339×associate-/l/_binary64
317×fma-neg_binary64
314×times-frac_binary64
253×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02691484
16241291
231681234
Stop Event
node limit
Counts
163 → 168
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-3
(-.f64 (*.f64 -9 x) 3)
(-.f64 (+.f64 (*.f64 -9 x) (*.f64 -27 (pow.f64 x 2))) 3)
(-.f64 (+.f64 (*.f64 -9 x) (+.f64 (*.f64 -81 (pow.f64 x 3)) (*.f64 -27 (pow.f64 x 2)))) 3)
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
(+.f64 x 1/3)
(+.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x -1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x -1/3))))
(+.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
(-.f64 x -1/3)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (/.f64 (+.f64 x -1/3) (cbrt.f64 (fma.f64 x x -1/9))))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (+.f64 x -1/3) (sqrt.f64 (fma.f64 x x -1/9))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 (pow.f64 x 3) -1/27) (+.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x -1/3))))
(/.f64 (*.f64 -1 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (*.f64 (fma.f64 x x -1/9) -1) (neg.f64 (+.f64 x -1/3)))
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (+.f64 x 1/3) 1)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3) (pow.f64 (fma.f64 x x -1/9) 3)))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 x -1/3))) 1)
(*.f64 1 (/.f64 1 (+.f64 x -1/3)))
(*.f64 (/.f64 1 (+.f64 x -1/3)) 1)
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (cbrt.f64 (/.f64 1 (+.f64 x -1/3))))
(*.f64 (pow.f64 (+.f64 x -1/3) -1/2) (pow.f64 (+.f64 x -1/3) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -1/3)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1/3)) -1))
(*.f64 (/.f64 1 (+.f64 -1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3))
(pow.f64 (+.f64 x -1/3) -1)
(pow.f64 (/.f64 1 (+.f64 x -1/3)) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1/3))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1/3))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1/3))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1/3))))
(+.f64 -1/9 (*.f64 x x))
(+.f64 (*.f64 x x) -1/9)
(+.f64 (*.f64 (*.f64 x x) 1) -1/9)
(-.f64 (*.f64 x x) 1/9)
(-.f64 (+.f64 1 (fma.f64 x x -1/9)) 1)
(*.f64 (fma.f64 x x -1/9) 1)
(*.f64 1 (fma.f64 x x -1/9))
(*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) 1))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1/729) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1/81 (*.f64 (*.f64 x x) 1/9))))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) -1/729) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 1/81 (*.f64 (*.f64 x x) -1/9))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1/81) (+.f64 (*.f64 x x) 1/9))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1/81) (-.f64 (*.f64 x x) -1/9))
(pow.f64 (fma.f64 x x -1/9) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))
(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 x -1/3) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (/.f64 1 (+.f64 x -1/3))))
(/.f64 (sqrt.f64 (+.f64 x -1/3)) (pow.f64 (+.f64 x -1/3) -1/2))
(/.f64 (neg.f64 (+.f64 x -1/3)) -1)
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-3
(-.f64 (*.f64 -9 x) 3)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(-.f64 (+.f64 (*.f64 -9 x) (*.f64 -27 (pow.f64 x 2))) 3)
(+.f64 (fma.f64 -9 x (*.f64 -27 (*.f64 x x))) -3)
(fma.f64 x -9 (fma.f64 -27 (*.f64 x x) -3))
(-.f64 (+.f64 (*.f64 -9 x) (+.f64 (*.f64 -81 (pow.f64 x 3)) (*.f64 -27 (pow.f64 x 2)))) 3)
(+.f64 (fma.f64 -9 x (fma.f64 -81 (pow.f64 x 3) (*.f64 -27 (*.f64 x x)))) -3)
(+.f64 (fma.f64 -27 (*.f64 x x) (*.f64 -81 (pow.f64 x 3))) (fma.f64 x -9 -3))
(fma.f64 x -9 (fma.f64 x (*.f64 x -27) (fma.f64 -81 (pow.f64 x 3) -3)))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))) (/.f64 1/9 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/27 (pow.f64 x 4))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 1/27 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))) (/.f64 1/9 (pow.f64 x 3)))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/27 (pow.f64 x 4))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 1/27 (pow.f64 x 4)))))
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x -1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(+.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(-.f64 x -1/3)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1/3 x)
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (/.f64 (+.f64 x -1/3) (cbrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (+.f64 x -1/3) (sqrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (-.f64 (pow.f64 x 3) -1/27) (+.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (fma.f64 x -1/3 1/9)))
(/.f64 (*.f64 -1 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (*.f64 (fma.f64 x x -1/9) -1) (neg.f64 (+.f64 x -1/3)))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3) (pow.f64 (fma.f64 x x -1/9) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) 3)))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 x -1/3))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(*.f64 1 (/.f64 1 (+.f64 x -1/3)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(*.f64 (/.f64 1 (+.f64 x -1/3)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (cbrt.f64 (/.f64 1 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)))
(*.f64 (pow.f64 (+.f64 x -1/3) -1/2) (pow.f64 (+.f64 x -1/3) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 x -1/3))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -1/3)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1/3)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(*.f64 (/.f64 1 (+.f64 -1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (fma.f64 x (+.f64 1/3 x) 1/9) (+.f64 (pow.f64 x 3) -1/27))
(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3))
(*.f64 (+.f64 1/3 x) (/.f64 1 (fma.f64 x x -1/9)))
(/.f64 (+.f64 1/3 x) (fma.f64 x x -1/9))
(pow.f64 (+.f64 x -1/3) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(pow.f64 (/.f64 1 (+.f64 x -1/3)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1/3))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(pow.f64 (pow.f64 (+.f64 x -1/3) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(sqrt.f64 (pow.f64 (+.f64 x -1/3) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1/3))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1/3))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1/3))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1/3))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 1 (+.f64 x -1/3)) 0)
(/.f64 1 (+.f64 x -1/3))
(+.f64 -1/9 (*.f64 x x))
(fma.f64 x x -1/9)
(+.f64 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)
(+.f64 (*.f64 (*.f64 x x) 1) -1/9)
(fma.f64 x x -1/9)
(-.f64 (*.f64 x x) 1/9)
(fma.f64 x x -1/9)
(-.f64 (+.f64 1 (fma.f64 x x -1/9)) 1)
(fma.f64 x x -1/9)
(*.f64 (fma.f64 x x -1/9) 1)
(fma.f64 x x -1/9)
(*.f64 1 (fma.f64 x x -1/9))
(fma.f64 x x -1/9)
(*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(fma.f64 x x -1/9)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) 1))
(fma.f64 x x -1/9)
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1))
(fma.f64 x x -1/9)
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1/729) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1/81 (*.f64 (*.f64 x x) 1/9))))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) -1/729) (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 x (*.f64 x 1/9)))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (fma.f64 1/9 (*.f64 x x) 1/81)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/9) 1/81)))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) -1/729) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 1/81 (*.f64 (*.f64 x x) -1/9))))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) -1/729) (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 x (*.f64 x 1/9)))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (fma.f64 1/9 (*.f64 x x) 1/81)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/9) 1/81)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1/81) (+.f64 (*.f64 x x) 1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1/81) (-.f64 (*.f64 x x) -1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(pow.f64 (fma.f64 x x -1/9) 1)
(fma.f64 x x -1/9)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)
(fma.f64 x x -1/9)
(pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)
(fma.f64 x x -1/9)
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)
(fma.f64 x x -1/9)
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))
(fma.f64 x x -1/9)
(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(fma.f64 x x -1/9)
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(+.f64 x -1/3)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 1/3 x) x)) (/.f64 1/9 (+.f64 1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 1/3 x))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 1/3 x) x)) (/.f64 1/9 (+.f64 1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 1/3 x))
(*.f64 1 (+.f64 x -1/3))
(+.f64 x -1/3)
(*.f64 (+.f64 x -1/3) 1)
(+.f64 x -1/3)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 x -1/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(*.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 1/3 x) 1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(-.f64 (/.f64 x (/.f64 (+.f64 1/3 x) x)) (/.f64 1/9 (+.f64 1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 1/3 x))
(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
(+.f64 x -1/3)
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 1/3 x) 1/9))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 1/3 x) x)) (/.f64 1/9 (+.f64 1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 1/3 x))
(/.f64 (+.f64 x -1/3) 1)
(+.f64 x -1/3)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (/.f64 1 (+.f64 x -1/3))))
(/.f64 (sqrt.f64 (+.f64 x -1/3)) (pow.f64 (+.f64 x -1/3) -1/2))
(/.f64 (neg.f64 (+.f64 x -1/3)) -1)
(/.f64 (+.f64 (neg.f64 x) 1/3) -1)
(/.f64 (-.f64 1/3 x) -1)
(neg.f64 (-.f64 1/3 x))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 1/3 x) 1/9))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 1/3 x) 1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 1/3 x) x)) (/.f64 1/9 (+.f64 1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 1/3 x))
(/.f64 (neg.f64 (+.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 1/3 x) 1/9))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 1/3 x) x)) (/.f64 1/9 (+.f64 1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 1/3 x))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 x -1/3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(+.f64 x -1/3)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 x -1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(+.f64 x -1/3)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(+.f64 x -1/3)
(log.f64 (exp.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 x -1/3)
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(fma.f64 1 x -1/3)
(+.f64 x -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 x -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 x -1/3)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
0.0b
(+.f64 x -1/3)
0.2b
(/.f64 1/9 (+.f64 x -1/3))
15.4b
(/.f64 (*.f64 x x) (+.f64 x -1/3))
Compiler

Compiled 35 to 21 computations (40% saved)

series6.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 1/9 (+.f64 x -1/3))
1.0ms
x
@0
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
1.0ms
x
@inf
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
1.0ms
x
@-inf
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
0.0ms
x
@0
(/.f64 (*.f64 x x) (+.f64 x -1/3))

rewrite79.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
512×log-prod_binary64
435×fma-def_binary64
375×pow-prod-down_binary64
284×pow2_binary64
268×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
122121
2341121
Stop Event
node limit
Counts
3 → 255
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(/.f64 1/9 (+.f64 x -1/3))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
Outputs
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simplify120.0ms (5.3%)

Algorithm
egg-herbie
Rules
445×div-sub_binary64
386×fma-neg_binary64
246×fma-def_binary64
232×associate-*l*_binary64
212×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05276082
114765538
253355498
Stop Event
node limit
Counts
291 → 435
Calls
Call 1
Inputs
(*.f64 -3 (pow.f64 x 2))
(+.f64 (*.f64 -3 (pow.f64 x 2)) (*.f64 -9 (pow.f64 x 3)))
(+.f64 (*.f64 -27 (pow.f64 x 4)) (+.f64 (*.f64 -3 (pow.f64 x 2)) (*.f64 -9 (pow.f64 x 3))))
(+.f64 (*.f64 -27 (pow.f64 x 4)) (+.f64 (*.f64 -3 (pow.f64 x 2)) (+.f64 (*.f64 -9 (pow.f64 x 3)) (*.f64 -81 (pow.f64 x 5)))))
x
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 (*.f64 1/9 (/.f64 1 x)) x))
(+.f64 1/3 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 1 x)) x)))
x
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 (*.f64 1/9 (/.f64 1 x)) x))
(+.f64 1/3 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 1 x)) x)))
-1/3
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) (*.f64 -1 x)) 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -9 (pow.f64 x 3)))) 1/3)
(/.f64 1/9 x)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1/9 x)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 0 (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x))) 1)
(*.f64 x (/.f64 1 (/.f64 (+.f64 x -1/3) x)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x -1/3))))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) 1)
(*.f64 1 (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))
(*.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x -1/3))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 x (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 1/3 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (*.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x -1/3)))
(*.f64 (/.f64 x (+.f64 x -1/3)) x)
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) x) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x -1/3)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 x (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) -2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))
(*.f64 (pow.f64 (+.f64 x -1/3) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x -1/3))))
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(*.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(*.f64 (/.f64 (*.f64 x x) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(pow.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) 1)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)) 3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 2)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) 1/3)
(pow.f64 (*.f64 (+.f64 x -1/3) (pow.f64 x -2)) -1)
(pow.f64 (/.f64 (*.f64 (+.f64 x -1/3) (pow.f64 x -2)) 1) -1)
(neg.f64 (/.f64 (*.f64 x x) (+.f64 1/3 (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))
(log.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)) 1))
(+.f64 0 (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 (+.f64 x -1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 (+.f64 x -1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 (+.f64 x -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 (+.f64 x -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/9 (+.f64 x -1/3)))) 1)
(*.f64 1/9 (/.f64 1 (+.f64 x -1/3)))
(*.f64 (/.f64 1/9 (+.f64 x -1/3)) 1)
(*.f64 1 (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))))
(*.f64 (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3))))
(*.f64 -1/9 (/.f64 1 (+.f64 1/3 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 x -1/3)) 1/9)
(*.f64 (/.f64 1/9 (fma.f64 x x -1/9)) (+.f64 x 1/3))
(*.f64 (/.f64 1/9 (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(pow.f64 (/.f64 1/9 (+.f64 x -1/3)) 1)
(pow.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2)) 1/2)
(pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3))) 3)
(pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3))) 2)
(pow.f64 (*.f64 1/729 (pow.f64 (+.f64 x -1/3) -3)) 1/3)
(pow.f64 (*.f64 (+.f64 x -1/3) 9) -1)
(pow.f64 (/.f64 (*.f64 (+.f64 x -1/3) 9) 1) -1)
(sqrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2)))
(log.f64 (exp.f64 (/.f64 1/9 (+.f64 x -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 (+.f64 x -1/3)))))
(cbrt.f64 (*.f64 1/729 (pow.f64 (+.f64 x -1/3) -3)))
(expm1.f64 (log1p.f64 (/.f64 1/9 (+.f64 x -1/3))))
(log1p.f64 (expm1.f64 (/.f64 1/9 (+.f64 x -1/3))))
(exp.f64 (log.f64 (/.f64 1/9 (+.f64 x -1/3))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 x -1/3))) 1))
(+.f64 x 1/3)
(+.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) (/.f64 -1/9 (+.f64 x -1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (+.f64 x 1/3) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 (+.f64 x 1/3) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 (+.f64 x 1/3) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 (+.f64 x 1/3) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(+.f64 0 (+.f64 x 1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) -2))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 1/729 (pow.f64 (+.f64 x -1/3) -3))) (/.f64 1 (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(*.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (/.f64 1 (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9))))
(*.f64 (+.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))) (-.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(/.f64 1 (/.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 (+.f64 x -1/3) 1/9))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 1/729 (pow.f64 (+.f64 x -1/3) -3)))))
(/.f64 1 (/.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (+.f64 x 1/3))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) 2))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 1/729 (pow.f64 (+.f64 x -1/3) -3))) (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)))
(/.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 1/3 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 (+.f64 x -1/3) 1/9))) (neg.f64 (pow.f64 (+.f64 x -1/3) 2)))
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(/.f64 (-.f64 (+.f64 x -1/3) (*.f64 (*.f64 (+.f64 x -1/3) (pow.f64 x -2)) 1/9)) (*.f64 (*.f64 (+.f64 x -1/3) (pow.f64 x -2)) (+.f64 x -1/3)))
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(/.f64 (fma.f64 (*.f64 x x) (*.f64 (+.f64 x -1/3) 9) (+.f64 1/3 (neg.f64 x))) (*.f64 (+.f64 x -1/3) (*.f64 (+.f64 x -1/3) 9)))
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(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x))) (exp.f64 (/.f64 1/9 (+.f64 x -1/3)))))
(log.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)) (+.f64 1 (expm1.f64 (/.f64 1/9 (+.f64 x -1/3))))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x))) (+.f64 1 (expm1.f64 (/.f64 1/9 (+.f64 x -1/3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x))) (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x))) (/.f64 1 (exp.f64 (/.f64 1/9 (+.f64 x -1/3))))))
(log.f64 (*.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))) (exp.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x))))
(log.f64 (*.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))) (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (/.f64 1/9 (+.f64 x -1/3)))) (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(fma.f64 x 1 1/3)
(fma.f64 x (/.f64 1 (/.f64 (+.f64 x -1/3) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 x (/.f64 1 (/.f64 (+.f64 x -1/3) x)) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 x (*.f64 x (/.f64 1 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 x (*.f64 x (/.f64 1 (+.f64 x -1/3))) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (*.f64 x x) (/.f64 1 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (*.f64 x x) (/.f64 1 (+.f64 x -1/3)) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) 1 (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) 1 (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 1/9 (neg.f64 (/.f64 1 (+.f64 x -1/3))) (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(fma.f64 (+.f64 x 1/3) 1 (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (+.f64 x 1/3) 1 (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (+.f64 x 1/3) 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (+.f64 x 1/3) 1 (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 1 x 1/3)
(fma.f64 1 (*.f64 (/.f64 x (+.f64 x -1/3)) x) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 1 (*.f64 (/.f64 x (+.f64 x -1/3)) x) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 1 (+.f64 x 1/3) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 1 (+.f64 x 1/3) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 1 (+.f64 x 1/3) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 1 (+.f64 x 1/3) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 1 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(fma.f64 (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x -1/3))) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3))) (neg.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))) (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 1/3 (neg.f64 x))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 1/3 (neg.f64 x))) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 -1/9 (/.f64 1 (+.f64 x -1/3)) (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(fma.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) -2) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) -2) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) -2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) -2) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 1/729 (pow.f64 (+.f64 x -1/3) -3))) (/.f64 1 (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 1/729 (pow.f64 (+.f64 x -1/3) -3))) (/.f64 1 (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 1/729 (pow.f64 (+.f64 x -1/3) -3))) (/.f64 1 (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 1/729 (pow.f64 (+.f64 x -1/3) -3))) (/.f64 1 (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (*.f64 x x) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (*.f64 x x) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (/.f64 1 (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (/.f64 1 (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9))) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (/.f64 1 (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (+.f64 x 1/3)) (/.f64 1 (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9))) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2) (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) 1/3)
(fma.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(fma.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3))) (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(fma.f64 -1 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(fma.f64 (/.f64 x 1) (/.f64 x (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 x 1) (/.f64 x (+.f64 x -1/3)) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (/.f64 x (+.f64 x -1/3)) x (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 x (+.f64 x -1/3)) x (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (/.f64 (*.f64 (cbrt.f64 x) x) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 (cbrt.f64 x) x) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x -1/3)) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 x (cbrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 x (cbrt.f64 (+.f64 x -1/3))) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) -2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) -2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x -1/3))) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (pow.f64 (+.f64 x -1/3) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (pow.f64 (+.f64 x -1/3) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x -1/3))) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x -1/3))) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))) (-.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))) (-.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))) (-.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))) (-.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x -1/3)))) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2)))) (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3))) (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1/9)) (+.f64 x 1/3) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1/9)) (+.f64 x 1/3) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
Outputs
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (*.f64 x x))
(+.f64 (*.f64 -3 (pow.f64 x 2)) (*.f64 -9 (pow.f64 x 3)))
(fma.f64 -3 (*.f64 x x) (*.f64 -9 (pow.f64 x 3)))
(fma.f64 -9 (pow.f64 x 3) (*.f64 -3 (*.f64 x x)))
(+.f64 (*.f64 -27 (pow.f64 x 4)) (+.f64 (*.f64 -3 (pow.f64 x 2)) (*.f64 -9 (pow.f64 x 3))))
(fma.f64 -27 (pow.f64 x 4) (fma.f64 -3 (*.f64 x x) (*.f64 -9 (pow.f64 x 3))))
(fma.f64 -27 (pow.f64 x 4) (fma.f64 -9 (pow.f64 x 3) (*.f64 -3 (*.f64 x x))))
(+.f64 (*.f64 -27 (pow.f64 x 4)) (+.f64 (*.f64 -3 (pow.f64 x 2)) (+.f64 (*.f64 -9 (pow.f64 x 3)) (*.f64 -81 (pow.f64 x 5)))))
(fma.f64 -27 (pow.f64 x 4) (fma.f64 -3 (*.f64 x x) (fma.f64 -9 (pow.f64 x 3) (*.f64 -81 (pow.f64 x 5)))))
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 (+.f64 (*.f64 1/9 (/.f64 1 x)) x))
(+.f64 1/3 (+.f64 x (/.f64 1/9 x)))
(+.f64 (/.f64 1/9 x) (+.f64 x 1/3))
(+.f64 1/3 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 1 x)) x)))
(+.f64 1/3 (+.f64 (+.f64 x (/.f64 1/9 x)) (/.f64 1/27 (*.f64 x x))))
(+.f64 1/3 (+.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/27 (*.f64 x x)) x)))
(+.f64 (+.f64 (/.f64 1/9 x) (+.f64 x 1/3)) (/.f64 (/.f64 1/27 x) x))
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 (+.f64 (*.f64 1/9 (/.f64 1 x)) x))
(+.f64 1/3 (+.f64 x (/.f64 1/9 x)))
(+.f64 (/.f64 1/9 x) (+.f64 x 1/3))
(+.f64 1/3 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 1 x)) x)))
(+.f64 1/3 (+.f64 (+.f64 x (/.f64 1/9 x)) (/.f64 1/27 (*.f64 x x))))
(+.f64 1/3 (+.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/27 (*.f64 x x)) x)))
(+.f64 (+.f64 (/.f64 1/9 x) (+.f64 x 1/3)) (/.f64 (/.f64 1/27 x) x))
-1/3
(-.f64 (*.f64 -1 x) 1/3)
(fma.f64 -1 x -1/3)
(fma.f64 x -1 -1/3)
(-.f64 -1/3 x)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) (*.f64 -1 x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (neg.f64 x)) -1/3)
(fma.f64 -3 (*.f64 x x) (fma.f64 x -1 -1/3))
(fma.f64 -3 (*.f64 x x) (-.f64 -1/3 x))
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -9 (pow.f64 x 3)))) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 -1 x (*.f64 -9 (pow.f64 x 3)))) -1/3)
(+.f64 -1/3 (fma.f64 -3 (*.f64 x x) (-.f64 (*.f64 -9 (pow.f64 x 3)) x)))
(+.f64 (-.f64 (*.f64 -3 (*.f64 x x)) x) (fma.f64 -9 (pow.f64 x 3) -1/3))
(/.f64 1/9 x)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (/.f64 (/.f64 1/27 x) x))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x))))
(+.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))))
(+.f64 (/.f64 1/9 x) (+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 1/81 (pow.f64 x 3))))
(+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x)))) (/.f64 1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x))) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1/9 x) (/.f64 (/.f64 1/27 x) x)) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/243 (pow.f64 x 4))))
(/.f64 1/9 x)
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))
(+.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (/.f64 (/.f64 1/27 x) x))
(+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x))))
(+.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))))
(+.f64 (/.f64 1/9 x) (+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 1/81 (pow.f64 x 3))))
(+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x)))) (/.f64 1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x))) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1/9 x) (/.f64 (/.f64 1/27 x) x)) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/243 (pow.f64 x 4))))
1/3
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 0 (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 x -1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 x -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x))) 1)
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(*.f64 x (/.f64 1 (/.f64 (+.f64 x -1/3) x)))
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x -1/3))))
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(*.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) 1)
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(*.f64 1 (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x -1/3)))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x -1/3)))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4)))
(*.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x -1/3))))
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 x (sqrt.f64 (+.f64 x -1/3))))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 2)
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 1/3 (neg.f64 x))))
(/.f64 (*.f64 (*.f64 x (neg.f64 x)) 1) (-.f64 1/3 x))
(*.f64 x (/.f64 (neg.f64 x) (-.f64 1/3 x)))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (*.f64 x x))
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x -1/3)))
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(*.f64 (/.f64 x (+.f64 x -1/3)) x)
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) x) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x -1/3)))
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 x (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) -2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3))) (/.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x -1/3)))) (*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) x))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3))) (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 x))))
(*.f64 (pow.f64 (+.f64 x -1/3) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (+.f64 x -1/3) -1/2) (*.f64 x (/.f64 x (sqrt.f64 (+.f64 x -1/3)))))
(/.f64 (pow.f64 (+.f64 x -1/3) -1/2) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x -1/3))))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 2)
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) (+.f64 x 1/3))
(*.f64 (/.f64 (*.f64 x x) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(*.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 x 3) -1/27) x)) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 3) -1/27)) (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(/.f64 (*.f64 x x) (/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(pow.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x) 1)
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4) 1/2)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1/3)) x)) 3)
(/.f64 (*.f64 x x) (+.f64 x -1/3))
(*.f64 x (/.f64 x (+.f64 x -1/3)))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 2)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) 1/3)
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6))
(pow.f64 (*.f64 (+.f64 x -1/3) (pow.f64 x -2)) -1)
(/.f64 1 (*.f64 (+.f64 x -1/3) (pow.f64 x -2)))
(/.f64 (/.f64 1 (pow.f64 x -2)) (+.f64 x -1/3))
(pow.f64 (/.f64 (*.f64 (+.f64 x -1/3) (pow.f64 x -2)) 1) -1)
(/.f64 1 (*.f64 (+.f64 x -1/3) (pow.f64 x -2)))
(/.f64 (/.f64 1 (pow.f64 x -2)) (+.f64 x -1/3))
(neg.f64 (/.f64 (*.f64 x x) (+.f64 1/3 (neg.f64 x))))
(/.f64 (*.f64 (*.f64 x (neg.f64 x)) 1) (-.f64 1/3 x))
(*.f64 x (/.f64 (neg.f64 x) (-.f64 1/3 x)))
(sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 2)
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(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
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(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
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(+.f64 x 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 x 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 x (+.f64 1/3 (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3)))))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (+.f64 x 1/3)))
(+.f64 (/.f64 1/9 (+.f64 x -1/3)) (-.f64 (+.f64 x 1/3) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 x (+.f64 1/3 (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3)))))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (+.f64 x 1/3)))
(+.f64 (/.f64 1/9 (+.f64 x -1/3)) (-.f64 (+.f64 x 1/3) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 (+.f64 x 1/3) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 1/3 (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3)))))
(+.f64 x (+.f64 1/3 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3)))))
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 x (+.f64 1/3 (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3)))))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (+.f64 x 1/3)))
(+.f64 (/.f64 1/9 (+.f64 x -1/3)) (-.f64 (+.f64 x 1/3) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 -1/9 (+.f64 x -1/3)))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 2) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (/.f64 x (sqrt.f64 (+.f64 x -1/3))) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 2) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 1/3 (neg.f64 x))) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (-.f64 1/3 x)) (/.f64 -1/9 (+.f64 x -1/3)))
(+.f64 (*.f64 x (/.f64 (neg.f64 x) (-.f64 1/3 x))) (/.f64 -1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 x (/.f64 x (-.f64 1/3 x))))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 1/3 (neg.f64 x))) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (-.f64 1/3 x)) (/.f64 -1/9 (+.f64 x -1/3)))
(+.f64 (*.f64 x (/.f64 (neg.f64 x) (-.f64 1/3 x))) (/.f64 -1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 -1/9 (+.f64 x -1/3)) (*.f64 x (/.f64 x (-.f64 1/3 x))))
(fma.f64 -1/9 (/.f64 1 (+.f64 x -1/3)) (*.f64 (/.f64 x (+.f64 x -1/3)) x))
(fma.f64 x (/.f64 x (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(fma.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) -2) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 1/9 (+.f64 x -1/3))) (pow.f64 (+.f64 x -1/3) -2) (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (pow.f64 (+.f64 x -1/3) -2) (*.f64 (+.f64 x -1/3) (-.f64 (*.f64 x x) 1/9)) (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))))
(fma.f64 (pow.f64 (+.f64 x -1/3) -2) (*.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) -2) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 1/9 (+.f64 x -1/3))) (pow.f64 (+.f64 x -1/3) -2) (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (pow.f64 (+.f64 x -1/3) -2) (*.f64 (+.f64 x -1/3) (-.f64 (*.f64 x x) 1/9)) (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))))
(fma.f64 (pow.f64 (+.f64 x -1/3) -2) (*.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) -2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 1/9 (+.f64 x -1/3))) (pow.f64 (+.f64 x -1/3) -2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (pow.f64 (+.f64 x -1/3) -2) (*.f64 (+.f64 x -1/3) (-.f64 (*.f64 x x) 1/9)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (pow.f64 (+.f64 x -1/3) -2) (*.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) -2) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 x -1/3))) (*.f64 1/9 (+.f64 x -1/3))) (pow.f64 (+.f64 x -1/3) -2) (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (pow.f64 (+.f64 x -1/3) -2) (*.f64 (+.f64 x -1/3) (-.f64 (*.f64 x x) 1/9)) (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))))
(fma.f64 (pow.f64 (+.f64 x -1/3) -2) (*.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))))
(fma.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9) (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3)))
(fma.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9) (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3)))
(fma.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3)))
(fma.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9) (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 1/729 (pow.f64 (+.f64 x -1/3) -3))) (/.f64 1 (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 -1/729 (pow.f64 (+.f64 x -1/3) -3))) (/.f64 1 (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))) (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))) (/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 (pow.f64 (+.f64 x -1/3) -3) -1/729)) (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 1/729 (pow.f64 (+.f64 x -1/3) -3))) (/.f64 1 (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 -1/729 (pow.f64 (+.f64 x -1/3) -3))) (/.f64 1 (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))) (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))) (/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 (pow.f64 (+.f64 x -1/3) -3) -1/729)) (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 1/729 (pow.f64 (+.f64 x -1/3) -3))) (/.f64 1 (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 -1/729 (pow.f64 (+.f64 x -1/3) -3))) (/.f64 1 (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x 1/9)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))) (/.f64 (+.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 6) (*.f64 (pow.f64 (+.f64 x -1/3) -3) -1/729)) (fma.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1/3))) 4))))
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(fma.f64 (/.f64 1 (+.f64 x -1/3)) (*.f64 x x) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 x (/.f64 x (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (*.f64 x x) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 x (/.f64 x (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1/3))) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9) (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
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(fma.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9) (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
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(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (fma.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x -1/3)))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 (/.f64 -1/9 (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (fma.f64 (/.f64 -1 (+.f64 x -1/3)) 1/9 (/.f64 1/9 (+.f64 x -1/3))))
(fma.f64 (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (+.f64 (/.f64 1/9 (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1/9)) (+.f64 x 1/3) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) (+.f64 x 1/3) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1/9)) (+.f64 x 1/3) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x -1/9) x)) (+.f64 x 1/3) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 x 3) -1/27) x)) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 3) -1/27)) (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (*.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(fma.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 x 3) -1/27) x)) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 3) -1/27)) (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (/.f64 -1/9 (+.f64 x -1/3)))

eval302.0ms (13.3%)

Compiler

Compiled 13143 to 9508 computations (27.7% saved)

prune132.0ms (5.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New6912693
Fresh022
Picked011
Done112
Total6926698
Error
0b
Counts
698 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
16.5b
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
32.8b
(-.f64 (/.f64 (*.f64 x x) -1/3) (/.f64 1/9 (+.f64 x -1/3)))
0.0b
(+.f64 x 1/3)
33.0b
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
30.0b
x
32.5b
1/3
Compiler

Compiled 42 to 32 computations (23.8% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x -1/3)
0.0b
(/.f64 1 (+.f64 x -1/3))
0.2b
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite42.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
795×pow1_binary64
744×add-log-exp_binary64
744×log1p-expm1-u_binary64
744×expm1-log1p-u_binary64
732×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
11737
220237
Stop Event
node limit
Counts
1 → 16
Calls
Call 1
Inputs
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1/9 (+.f64 x -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/9 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1/3) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/9 (+.f64 1/3 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/9 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2))) (cbrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/9 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))))))))

simplify36.0ms (1.6%)

Algorithm
egg-herbie
Rules
509×fma-def_binary64
375×associate-*l/_binary64
336×associate-/r*_binary64
312×associate-*r/_binary64
265×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075394
1191343
2581304
32495297
Stop Event
node limit
Counts
28 → 46
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (*.f64 9 (pow.f64 x 3)) x)))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
(-.f64 (+.f64 1 (/.f64 -1/9 (+.f64 x -1/3))) 1)
(/.f64 -1/9 (+.f64 x -1/3))
(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
(/.f64 1/9 (+.f64 1/3 (neg.f64 x)))
(/.f64 (/.f64 -1/9 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2))) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 -1/9 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)
(pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)
(sqrt.f64 (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)))
(log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))))
Outputs
1/3
(+.f64 1/3 x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 x))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 x))
(+.f64 x (fma.f64 3 (*.f64 x x) 1/3))
(fma.f64 (fma.f64 x 3 1) x 1/3)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (*.f64 9 (pow.f64 x 3)) x)))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 (fma.f64 9 (pow.f64 x 3) x)))
(+.f64 (fma.f64 9 (pow.f64 x 3) x) (fma.f64 3 (*.f64 x x) 1/3))
(+.f64 1/3 (fma.f64 x (*.f64 x 3) (fma.f64 9 (pow.f64 x 3) x)))
(fma.f64 9 (pow.f64 x 3) (fma.f64 (fma.f64 x 3 1) x 1/3))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x)))
(+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x))
(-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x)))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x))))
(neg.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x))) (/.f64 -1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x)) (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (/.f64 -1/243 (pow.f64 x 4))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x))) (/.f64 -1/243 (pow.f64 x 4))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x)))
(+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x))
(-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x)))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x))))
(neg.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x))) (/.f64 -1/243 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1/27 (*.f64 x x)) (/.f64 -1/9 x)) (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (/.f64 -1/243 (pow.f64 x 4))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/9 x) (/.f64 1/27 (*.f64 x x))) (/.f64 -1/243 (pow.f64 x 4))))
(-.f64 (+.f64 1 (/.f64 -1/9 (+.f64 x -1/3))) 1)
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(/.f64 -1/9 (+.f64 x -1/3))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(/.f64 1/9 (+.f64 1/3 (neg.f64 x)))
(/.f64 1/9 (-.f64 1/3 x))
(/.f64 (/.f64 -1/9 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2))) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 -1/9 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2)) (cbrt.f64 (+.f64 x -1/3))))
(/.f64 (/.f64 -1/9 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 3)
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(sqrt.f64 (/.f64 1/81 (pow.f64 (+.f64 x -1/3) 2)))
(fabs.f64 (/.f64 -1/9 (+.f64 x -1/3)))
(log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))
(exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(+.f64 1 (-.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1))
(+.f64 (/.f64 -1/9 (+.f64 x -1/3)) 0)
(/.f64 -1/9 (+.f64 x -1/3))

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x -1/3)
0.2b
(/.f64 1/9 (+.f64 x -1/3))
0.2b
(/.f64 (*.f64 x x) -1/3)
Compiler

Compiled 31 to 19 computations (38.7% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite38.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
495×pow1_binary64
488×add-sqr-sqrt_binary64
467×add-log-exp_binary64
467×log1p-expm1-u_binary64
467×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11107
213187
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) -1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x -3))) (cbrt.f64 (*.f64 (pow.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (cbrt.f64 (*.f64 x (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 -3)) (*.f64 x (sqrt.f64 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -3))))))))

simplify35.0ms (1.6%)

Algorithm
egg-herbie
Rules
406×distribute-rgt-in_binary64
385×log-prod_binary64
383×distribute-lft-in_binary64
365×fma-def_binary64
358×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063269
1157269
2520269
32033269
Stop Event
node limit
Counts
37 → 29
Calls
Call 1
Inputs
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x -3))) 1)
(*.f64 x (/.f64 1 (/.f64 -1/3 x)))
(*.f64 x (*.f64 x -3))
(*.f64 (*.f64 x x) -3)
(*.f64 (*.f64 x (*.f64 x -3)) 1)
(*.f64 1 (*.f64 x (*.f64 x -3)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -3))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -3))) (cbrt.f64 (*.f64 (pow.f64 x 4) 9)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (cbrt.f64 (*.f64 x (*.f64 x -3))))
(*.f64 (*.f64 x (sqrt.f64 -3)) (*.f64 x (sqrt.f64 -3)))
(*.f64 (neg.f64 (*.f64 x x)) 3)
(*.f64 -3 (*.f64 x x))
(*.f64 (/.f64 x -1/3) x)
(pow.f64 (*.f64 x (*.f64 x -3)) 1)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -3)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -3))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -3)) 2)
(pow.f64 (/.f64 -1/3 (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) 1/3))
(sqrt.f64 (*.f64 (pow.f64 x 4) 9))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -3))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -3))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -3))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -3))))
Outputs
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (*.f64 x x))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (*.f64 x x))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (*.f64 x x))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (*.f64 x x))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (*.f64 x x))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (*.f64 x x))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (*.f64 x x))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (*.f64 x x))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (*.f64 x x))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (*.f64 x x))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (*.f64 x x))
(*.f64 -3 (pow.f64 x 2))
(*.f64 -3 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x -3))) 1)
(*.f64 -3 (*.f64 x x))
(*.f64 x (/.f64 1 (/.f64 -1/3 x)))
(*.f64 -3 (*.f64 x x))
(*.f64 x (*.f64 x -3))
(*.f64 -3 (*.f64 x x))
(*.f64 (*.f64 x x) -3)
(*.f64 -3 (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x -3)) 1)
(*.f64 -3 (*.f64 x x))
(*.f64 1 (*.f64 x (*.f64 x -3)))
(*.f64 -3 (*.f64 x x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -3))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -3 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) -3) (pow.f64 (cbrt.f64 x) 2))
(*.f64 -3 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -3))) (cbrt.f64 (*.f64 (pow.f64 x 4) 9)))
(*.f64 -3 (*.f64 x x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (cbrt.f64 (*.f64 x (*.f64 x -3))))
(*.f64 -3 (*.f64 x x))
(*.f64 (*.f64 x (sqrt.f64 -3)) (*.f64 x (sqrt.f64 -3)))
(*.f64 -3 (*.f64 x x))
(*.f64 (neg.f64 (*.f64 x x)) 3)
(*.f64 -3 (*.f64 x x))
(*.f64 -3 (*.f64 x x))
(*.f64 (/.f64 x -1/3) x)
(*.f64 -3 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x -3)) 1)
(*.f64 -3 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -3)) 3) 1/3)
(*.f64 -3 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -3))) 3)
(*.f64 -3 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -3)) 2)
(*.f64 -3 (*.f64 x x))
(pow.f64 (/.f64 -1/3 (*.f64 x x)) -1)
(*.f64 -3 (*.f64 x x))
(neg.f64 (/.f64 (*.f64 x x) 1/3))
(*.f64 -3 (*.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 9))
(*.f64 -3 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -3))
(*.f64 -3 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -3)) 3))
(*.f64 -3 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -3))))
(*.f64 -3 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -3))))
(*.f64 -3 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -3))))
(*.f64 -3 (*.f64 x x))

eval84.0ms (3.7%)

Compiler

Compiled 3867 to 2874 computations (25.7% saved)

prune36.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2771278
Fresh022
Picked101
Done123
Total2795284
Error
0b
Counts
284 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
16.5b
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
0.0b
(+.f64 x 1/3)
0.4b
(*.f64 -1/9 (-.f64 (*.f64 -9 x) 3))
30.0b
x
32.5b
1/3
Compiler

Compiled 30 to 23 computations (23.3% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 -9 x) 3)
0.4b
(*.f64 -1/9 (-.f64 (*.f64 -9 x) 3))
Compiler

Compiled 20 to 16 computations (20% saved)

series3.0ms (0.1%)

Counts
2 → 15
Calls

6 calls:

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

rewrite53.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
815×pow1_binary64
764×add-log-exp_binary64
764×log1p-expm1-u_binary64
764×expm1-log1p-u_binary64
753×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
117513
2201813
Stop Event
node limit
Counts
2 → 49
Calls
Call 1
Inputs
(*.f64 -1/9 (-.f64 (*.f64 -9 x) 3))
(-.f64 (*.f64 -9 x) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -9 x) -1/9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/9 (*.f64 -9 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/9 (fma.f64 -9 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27) -1/9) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9) -1/9) (fma.f64 -9 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/9 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27)) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/9 (+.f64 (*.f64 81 (*.f64 x x)) -9)) (fma.f64 -9 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/9 (fma.f64 -9 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/9 (fma.f64 -9 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/9 (fma.f64 -9 x -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/9 (fma.f64 -9 x -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/81 (pow.f64 (fma.f64 -9 x -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/9) (fma.f64 -9 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/9 (fma.f64 -9 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/9 (fma.f64 -9 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/9 (fma.f64 -9 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/9 (fma.f64 -9 x -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -9 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 -9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -9 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -9 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -9 x -3)) (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 2) (cbrt.f64 (fma.f64 -9 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -9 x -3)) (sqrt.f64 (fma.f64 -9 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27) (/.f64 1 (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9) (/.f64 1 (fma.f64 -9 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27))) (+.f64 (*.f64 -729 (pow.f64 x 3)) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -9 x 3) (+.f64 (*.f64 81 (*.f64 x x)) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27) (+.f64 (*.f64 81 (*.f64 x x)) (-.f64 9 (*.f64 (*.f64 -9 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9) (fma.f64 -9 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9) (-.f64 (*.f64 -9 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27)) (neg.f64 (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9)) (neg.f64 (fma.f64 -9 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -9 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -9 x -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -9 x -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -9 x -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -9 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -9 x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -9 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -9 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -9 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9 x -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -9 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -9 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 81 (*.f64 x x))) (cbrt.f64 (*.f64 -9 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -9 x)) (sqrt.f64 (*.f64 -9 x)) -3)))))

simplify44.0ms (2%)

Algorithm
egg-herbie
Rules
729×fma-def_binary64
315×associate-/l*_binary64
311×log-prod_binary64
302×associate-+l+_binary64
293×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0116538
1270490
2918482
33560461
Stop Event
node limit
Counts
64 → 71
Calls
Call 1
Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-3
(*.f64 -9 x)
(*.f64 -9 x)
(+.f64 (*.f64 (*.f64 -9 x) -1/9) 1/3)
(+.f64 (*.f64 -1/9 (*.f64 -9 x)) 1/3)
(-.f64 (+.f64 1 (*.f64 -1/9 (fma.f64 -9 x -3))) 1)
(/.f64 (*.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27) -1/9) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27))))
(/.f64 (*.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9) -1/9) (fma.f64 -9 x 3))
(/.f64 (*.f64 -1/9 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27)) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27))))
(/.f64 (*.f64 -1/9 (+.f64 (*.f64 81 (*.f64 x x)) -9)) (fma.f64 -9 x 3))
(pow.f64 (*.f64 -1/9 (fma.f64 -9 x -3)) 1)
(pow.f64 (pow.f64 (*.f64 -1/9 (fma.f64 -9 x -3)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -1/9 (fma.f64 -9 x -3))) 3)
(pow.f64 (sqrt.f64 (*.f64 -1/9 (fma.f64 -9 x -3))) 2)
(sqrt.f64 (*.f64 1/81 (pow.f64 (fma.f64 -9 x -3) 2)))
(log.f64 (pow.f64 (exp.f64 -1/9) (fma.f64 -9 x -3)))
(cbrt.f64 (pow.f64 (*.f64 -1/9 (fma.f64 -9 x -3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/9 (fma.f64 -9 x -3))))
(log1p.f64 (expm1.f64 (*.f64 -1/9 (fma.f64 -9 x -3))))
(exp.f64 (log.f64 (*.f64 -1/9 (fma.f64 -9 x -3))))
(+.f64 (*.f64 -9 x) -3)
(+.f64 -3 (*.f64 -9 x))
(*.f64 (fma.f64 -9 x -3) 1)
(*.f64 1 (fma.f64 -9 x -3))
(*.f64 (cbrt.f64 (fma.f64 -9 x -3)) (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 2) (cbrt.f64 (fma.f64 -9 x -3)))
(*.f64 (sqrt.f64 (fma.f64 -9 x -3)) (sqrt.f64 (fma.f64 -9 x -3)))
(*.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27) (/.f64 1 (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27)))))
(*.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9) (/.f64 1 (fma.f64 -9 x 3)))
(/.f64 1 (/.f64 (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27))) (+.f64 (*.f64 -729 (pow.f64 x 3)) -27)))
(/.f64 1 (/.f64 (fma.f64 -9 x 3) (+.f64 (*.f64 81 (*.f64 x x)) -9)))
(/.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27))))
(/.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27) (+.f64 (*.f64 81 (*.f64 x x)) (-.f64 9 (*.f64 (*.f64 -9 x) -3))))
(/.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9) (fma.f64 -9 x 3))
(/.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9) (-.f64 (*.f64 -9 x) -3))
(/.f64 (neg.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27)) (neg.f64 (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27)))))
(/.f64 (neg.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9)) (neg.f64 (fma.f64 -9 x 3)))
(pow.f64 (fma.f64 -9 x -3) 1)
(pow.f64 (pow.f64 (fma.f64 -9 x -3) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 3)
(pow.f64 (sqrt.f64 (fma.f64 -9 x -3)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -9 x -3) 2))
(log.f64 (exp.f64 (fma.f64 -9 x -3)))
(cbrt.f64 (pow.f64 (fma.f64 -9 x -3) 3))
(expm1.f64 (log1p.f64 (fma.f64 -9 x -3)))
(log1p.f64 (expm1.f64 (fma.f64 -9 x -3)))
(exp.f64 (log.f64 (fma.f64 -9 x -3)))
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(fma.f64 1 (*.f64 -9 x) -3)
(fma.f64 (cbrt.f64 (*.f64 81 (*.f64 x x))) (cbrt.f64 (*.f64 -9 x)) -3)
(fma.f64 (sqrt.f64 (*.f64 -9 x)) (sqrt.f64 (*.f64 -9 x)) -3)
Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-3
(*.f64 -9 x)
(*.f64 x -9)
(*.f64 -9 x)
(*.f64 x -9)
(+.f64 (*.f64 (*.f64 -9 x) -1/9) 1/3)
(+.f64 1/3 x)
(+.f64 (*.f64 -1/9 (*.f64 -9 x)) 1/3)
(+.f64 1/3 x)
(-.f64 (+.f64 1 (*.f64 -1/9 (fma.f64 -9 x -3))) 1)
(+.f64 1/3 x)
(/.f64 (*.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27) -1/9) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (/.f64 (fma.f64 81 (*.f64 x x) (+.f64 9 (*.f64 x -27))) -1/9))
(/.f64 (+.f64 3 (*.f64 (pow.f64 x 3) 81)) (fma.f64 81 (*.f64 x x) (fma.f64 x -27 9)))
(/.f64 (fma.f64 (pow.f64 x 3) 81 3) (fma.f64 x -27 (fma.f64 81 (*.f64 x x) 9)))
(/.f64 (fma.f64 (pow.f64 x 3) 81 3) (fma.f64 x (fma.f64 x 81 -27) 9))
(/.f64 (*.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9) -1/9) (fma.f64 -9 x 3))
(/.f64 (*.f64 -1/9 (fma.f64 81 (*.f64 x x) -9)) (fma.f64 -9 x 3))
(/.f64 (+.f64 1 (*.f64 -9 (*.f64 x x))) (fma.f64 x -9 3))
(/.f64 (fma.f64 -9 (*.f64 x x) 1) (fma.f64 x -9 3))
(/.f64 (*.f64 -1/9 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27)) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (/.f64 (fma.f64 81 (*.f64 x x) (+.f64 9 (*.f64 x -27))) -1/9))
(/.f64 (+.f64 3 (*.f64 (pow.f64 x 3) 81)) (fma.f64 81 (*.f64 x x) (fma.f64 x -27 9)))
(/.f64 (fma.f64 (pow.f64 x 3) 81 3) (fma.f64 x -27 (fma.f64 81 (*.f64 x x) 9)))
(/.f64 (fma.f64 (pow.f64 x 3) 81 3) (fma.f64 x (fma.f64 x 81 -27) 9))
(/.f64 (*.f64 -1/9 (+.f64 (*.f64 81 (*.f64 x x)) -9)) (fma.f64 -9 x 3))
(/.f64 (*.f64 -1/9 (fma.f64 81 (*.f64 x x) -9)) (fma.f64 -9 x 3))
(/.f64 (+.f64 1 (*.f64 -9 (*.f64 x x))) (fma.f64 x -9 3))
(/.f64 (fma.f64 -9 (*.f64 x x) 1) (fma.f64 x -9 3))
(pow.f64 (*.f64 -1/9 (fma.f64 -9 x -3)) 1)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (*.f64 -1/9 (fma.f64 -9 x -3)) 3) 1/3)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (*.f64 -1/9 (fma.f64 -9 x -3))) 3)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (*.f64 -1/9 (fma.f64 -9 x -3))) 2)
(+.f64 1/3 x)
(sqrt.f64 (*.f64 1/81 (pow.f64 (fma.f64 -9 x -3) 2)))
(+.f64 1/3 x)
(log.f64 (pow.f64 (exp.f64 -1/9) (fma.f64 -9 x -3)))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (*.f64 -1/9 (fma.f64 -9 x -3)) 3))
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (*.f64 -1/9 (fma.f64 -9 x -3))))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (*.f64 -1/9 (fma.f64 -9 x -3))))
(+.f64 1/3 x)
(exp.f64 (log.f64 (*.f64 -1/9 (fma.f64 -9 x -3))))
(+.f64 1/3 x)
(+.f64 (*.f64 -9 x) -3)
(fma.f64 x -9 -3)
(+.f64 -3 (*.f64 -9 x))
(fma.f64 x -9 -3)
(*.f64 (fma.f64 -9 x -3) 1)
(fma.f64 x -9 -3)
(*.f64 1 (fma.f64 -9 x -3))
(fma.f64 x -9 -3)
(*.f64 (cbrt.f64 (fma.f64 -9 x -3)) (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 2))
(fma.f64 x -9 -3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 2) (cbrt.f64 (fma.f64 -9 x -3)))
(fma.f64 x -9 -3)
(*.f64 (sqrt.f64 (fma.f64 -9 x -3)) (sqrt.f64 (fma.f64 -9 x -3)))
(fma.f64 x -9 -3)
(*.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27) (/.f64 1 (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27)))))
(*.f64 (fma.f64 -729 (pow.f64 x 3) -27) (/.f64 1 (fma.f64 81 (*.f64 x x) (+.f64 9 (*.f64 x -27)))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 81 (*.f64 x x) (fma.f64 x -27 9)))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 x -27 (fma.f64 81 (*.f64 x x) 9)))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 x (fma.f64 x 81 -27) 9))
(*.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9) (/.f64 1 (fma.f64 -9 x 3)))
(*.f64 (fma.f64 81 (*.f64 x x) -9) (/.f64 1 (fma.f64 -9 x 3)))
(/.f64 (fma.f64 81 (*.f64 x x) -9) (fma.f64 x -9 3))
(/.f64 (fma.f64 x (*.f64 x 81) -9) (fma.f64 x -9 3))
(/.f64 1 (/.f64 (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27))) (+.f64 (*.f64 -729 (pow.f64 x 3)) -27)))
(*.f64 (fma.f64 -729 (pow.f64 x 3) -27) (/.f64 1 (fma.f64 81 (*.f64 x x) (+.f64 9 (*.f64 x -27)))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 81 (*.f64 x x) (fma.f64 x -27 9)))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 x -27 (fma.f64 81 (*.f64 x x) 9)))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 x (fma.f64 x 81 -27) 9))
(/.f64 1 (/.f64 (fma.f64 -9 x 3) (+.f64 (*.f64 81 (*.f64 x x)) -9)))
(*.f64 (fma.f64 81 (*.f64 x x) -9) (/.f64 1 (fma.f64 -9 x 3)))
(/.f64 (fma.f64 81 (*.f64 x x) -9) (fma.f64 x -9 3))
(/.f64 (fma.f64 x (*.f64 x 81) -9) (fma.f64 x -9 3))
(/.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27) (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27))))
(*.f64 (fma.f64 -729 (pow.f64 x 3) -27) (/.f64 1 (fma.f64 81 (*.f64 x x) (+.f64 9 (*.f64 x -27)))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 81 (*.f64 x x) (fma.f64 x -27 9)))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 x -27 (fma.f64 81 (*.f64 x x) 9)))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 x (fma.f64 x 81 -27) 9))
(/.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27) (+.f64 (*.f64 81 (*.f64 x x)) (-.f64 9 (*.f64 (*.f64 -9 x) -3))))
(*.f64 (fma.f64 -729 (pow.f64 x 3) -27) (/.f64 1 (fma.f64 81 (*.f64 x x) (+.f64 9 (*.f64 x -27)))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 81 (*.f64 x x) (fma.f64 x -27 9)))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 x -27 (fma.f64 81 (*.f64 x x) 9)))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 x (fma.f64 x 81 -27) 9))
(/.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9) (fma.f64 -9 x 3))
(*.f64 (fma.f64 81 (*.f64 x x) -9) (/.f64 1 (fma.f64 -9 x 3)))
(/.f64 (fma.f64 81 (*.f64 x x) -9) (fma.f64 x -9 3))
(/.f64 (fma.f64 x (*.f64 x 81) -9) (fma.f64 x -9 3))
(/.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9) (-.f64 (*.f64 -9 x) -3))
(*.f64 (fma.f64 81 (*.f64 x x) -9) (/.f64 1 (fma.f64 -9 x 3)))
(/.f64 (fma.f64 81 (*.f64 x x) -9) (fma.f64 x -9 3))
(/.f64 (fma.f64 x (*.f64 x 81) -9) (fma.f64 x -9 3))
(/.f64 (neg.f64 (+.f64 (*.f64 -729 (pow.f64 x 3)) -27)) (neg.f64 (+.f64 (*.f64 81 (*.f64 x x)) (+.f64 9 (*.f64 x -27)))))
(*.f64 (fma.f64 -729 (pow.f64 x 3) -27) (/.f64 1 (fma.f64 81 (*.f64 x x) (+.f64 9 (*.f64 x -27)))))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 81 (*.f64 x x) (fma.f64 x -27 9)))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 x -27 (fma.f64 81 (*.f64 x x) 9)))
(/.f64 (fma.f64 -729 (pow.f64 x 3) -27) (fma.f64 x (fma.f64 x 81 -27) 9))
(/.f64 (neg.f64 (+.f64 (*.f64 81 (*.f64 x x)) -9)) (neg.f64 (fma.f64 -9 x 3)))
(*.f64 (fma.f64 81 (*.f64 x x) -9) (/.f64 1 (fma.f64 -9 x 3)))
(/.f64 (fma.f64 81 (*.f64 x x) -9) (fma.f64 x -9 3))
(/.f64 (fma.f64 x (*.f64 x 81) -9) (fma.f64 x -9 3))
(pow.f64 (fma.f64 -9 x -3) 1)
(fma.f64 x -9 -3)
(pow.f64 (pow.f64 (fma.f64 -9 x -3) 3) 1/3)
(fma.f64 x -9 -3)
(pow.f64 (cbrt.f64 (fma.f64 -9 x -3)) 3)
(fma.f64 x -9 -3)
(pow.f64 (sqrt.f64 (fma.f64 -9 x -3)) 2)
(fma.f64 x -9 -3)
(sqrt.f64 (pow.f64 (fma.f64 -9 x -3) 2))
(fma.f64 x -9 -3)
(log.f64 (exp.f64 (fma.f64 -9 x -3)))
(fma.f64 x -9 -3)
(cbrt.f64 (pow.f64 (fma.f64 -9 x -3) 3))
(fma.f64 x -9 -3)
(expm1.f64 (log1p.f64 (fma.f64 -9 x -3)))
(fma.f64 x -9 -3)
(log1p.f64 (expm1.f64 (fma.f64 -9 x -3)))
(fma.f64 x -9 -3)
(exp.f64 (log.f64 (fma.f64 -9 x -3)))
(fma.f64 x -9 -3)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(fma.f64 x -9 -3)
(fma.f64 1 (*.f64 -9 x) -3)
(fma.f64 x -9 -3)
(fma.f64 (cbrt.f64 (*.f64 81 (*.f64 x x))) (cbrt.f64 (*.f64 -9 x)) -3)
(fma.f64 (cbrt.f64 (*.f64 81 (*.f64 x x))) (cbrt.f64 (*.f64 x -9)) -3)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 81))) (cbrt.f64 (*.f64 x -9)) -3)
(fma.f64 (sqrt.f64 (*.f64 -9 x)) (sqrt.f64 (*.f64 -9 x)) -3)
(fma.f64 x -9 -3)

eval21.0ms (0.9%)

Compiler

Compiled 838 to 664 computations (20.8% saved)

prune9.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New71071
Fresh022
Picked011
Done022
Total71576
Error
0b
Counts
76 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
16.5b
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
0.0b
(+.f64 x 1/3)
0.4b
(*.f64 -1/9 (-.f64 (*.f64 -9 x) 3))
30.0b
x
32.5b
1/3
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes15.0ms (0.6%)

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

2 calls:

9.0ms
x
4.0ms
(+.f64 x (/.f64 1 3))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(+.f64 x (/.f64 1 3))
Compiler

Compiled 67 to 49 computations (26.9% saved)

regimes8.0ms (0.4%)

Accuracy

Total -60.9b remaining (-7037.4%)

Threshold costs -60.9b (-7037.4%)

Counts
2 → 3
Calls
Call 1
Inputs
1/3
x
Outputs
x
1/3
x
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 5 to 3 computations (40% saved)

bsearch30.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
0.020493038726382713
2023682.9639126786
17.0ms
-2814115.056018352
-3.6517588882029367e-16
Results
26.0ms320×body256valid
Compiler

Compiled 130 to 108 computations (16.9% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
11220
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3
Outputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3
Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness10.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
Stop Event
saturated
Compiler

Compiled 10 to 8 computations (20% saved)

end21.0ms (0.9%)

Compiler

Compiled 16 to 11 computations (31.3% saved)

Profiling

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