Details

Time bar (total: 3.8s)

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)

sample732.0ms (19.4%)

Results
721.0ms8256×body256valid
Bogosity

preprocess14.0ms (0.4%)

Algorithm
egg-herbie
Rules
1-exp
sub-neg
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
1147
2157
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)

simplify12.0ms (0.3%)

Algorithm
egg-herbie
Rules
1-exp
sub-neg
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
1147
2157
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)

eval0.0ms (0%)

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)

series0.0ms (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)

rewrite50.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1166×add-sqr-sqrt
1142×*-un-lft-identity
1098×pow1
1078×add-cube-cbrt
1070×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11117
213857
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 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.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 (fma.f64 x x -1/9) (/.f64 1 (+.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 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))))) (#(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 (fma.f64 x x -1/9) (+.f64 x 1/3))))) (#(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 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))))) (#(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 pow.f64 (+.f64 x -1/3) 1)))) (#(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 (cbrt.f64 (+.f64 x -1/3)) 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 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 exp.f64 (log.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 fma.f64 1 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 fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))))

simplify47.0ms (1.3%)

Algorithm
egg-herbie
Rules
1204×distribute-lft-in
1098×distribute-rgt-in
1038×associate-/l*
906×associate-*r*
782×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080646
1192586
2703490
33235490
Stop Event
node limit
Counts
42 → 37
Calls
Call 1
Inputs
-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 (+.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 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.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 (fma.f64 x x -1/9) (/.f64 1 (+.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 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 -1/27 (pow.f64 x 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 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.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)))))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(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)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.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 (/.f64 x (+.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 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.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 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.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)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (*.f64 (+.f64 -1/27 (pow.f64 x 3)) 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 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.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 (+.f64 -1/27 (pow.f64 x 3)) 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 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -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 (+.f64 -1/27 (pow.f64 x 3)) 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 (+.f64 -1/27 (pow.f64 x 3)) 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 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.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 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.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 (*.f64 (+.f64 -1/27 (pow.f64 x 3)) 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))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(+.f64 -1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 -1/3 x)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(+.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)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)

eval7.0ms (0.2%)

Compiler

Compiled 309 to 228 computations (26.2% saved)

prune8.0ms (0.2%)

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
19.8b
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
0.5b
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
0.0b
(+.f64 x -1/3)
32.7b
x
30.3b
-1/3
Compiler

Compiled 32 to 25 computations (21.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x -1/3)
0.5b
(+.f64 1 (+.f64 x -1/3))
0.5b
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite106.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1982×add-sqr-sqrt
1952×*-un-lft-identity
1850×add-cube-cbrt
1840×add-cbrt-cube
186×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0832
118814
2263514
Stop Event
node limit
Counts
2 → 93
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(+.f64 1 (+.f64 x -1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x -4/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 2/3))))) (#(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 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.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 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))))) (#(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 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))))) (#(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 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 (+.f64 x -1/3) 2) (+.f64 (pow.f64 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egg-rr> (2) ((x fma.f64 1 (+.f64 x 2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)))) (#(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 -.f64 (+.f64 (+.f64 x -1/3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 4/3 x)) (/.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2/3)) (*.f64 (sqrt.f64 (+.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1 (-.f64 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 4/3 x) (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))) (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (-.f64 4/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) 1) (-.f64 4/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1/3) 2) 1) (+.f64 x -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))) (neg.f64 (-.f64 4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 x -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)) 1)))))

simplify91.0ms (2.4%)

Algorithm
egg-herbie
Rules
866×times-frac
760×unswap-sqr
588×associate--r+
568×associate-/l*
562×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02142077
15211889
224161869
Stop Event
node limit
Counts
117 → 121
Calls
Call 1
Inputs
-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)
2/3
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 1 (+.f64 x -4/3))
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 (+.f64 1 x) -4/3)
(+.f64 (+.f64 x -4/3) 1)
(+.f64 -1 (+.f64 x 2/3))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.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 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.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 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.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 (+.f64 x -1/3) 2) (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (+.f64 (+.f64 x -1/3) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (-.f64 (+.f64 x 2/3) -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 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)) (+.f64 x -4/3))))
(/.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 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x -1/3) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 x 2/3) -1)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(-.f64 (+.f64 (+.f64 x -1/3) 2) 1)
(-.f64 (/.f64 1 (-.f64 4/3 x)) (/.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))
(*.f64 1 (+.f64 x 2/3))
(*.f64 (+.f64 x 2/3) 1)
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (*.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(*.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 2/3)) 1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1 (-.f64 4/3 x)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))
(/.f64 1 (/.f64 (-.f64 4/3 x) (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))) (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (-.f64 4/3 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) 1) (-.f64 4/3 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1/3) 2) 1) (+.f64 x -4/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) -1/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) -1/3))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))) (neg.f64 (-.f64 4/3 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))
(pow.f64 (+.f64 x 2/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))
(log.f64 (exp.f64 (+.f64 x 2/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2/3))))
(cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 2/3)))
(exp.f64 (log1p.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 2/3)))
(fma.f64 1 (+.f64 x -1/3) 1)
(fma.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)) 1)
Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
2/3
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 1 (+.f64 x -4/3))
(+.f64 -1/3 x)
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 -1/3 x)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(+.f64 (+.f64 1 x) -4/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -4/3) 1)
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.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 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(*.f64 (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)) (+.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 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(+.f64 -1/3 x)
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.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 (+.f64 x -1/3) 2) (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(*.f64 (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)) (+.f64 -1/3 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (+.f64 (+.f64 x -1/3) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(*.f64 (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)) (+.f64 -1/3 x))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (-.f64 (+.f64 x 2/3) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(*.f64 (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)) (+.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 -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 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -4/3) (-.f64 4/3 x))) (-.f64 7/3 x))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)) (-.f64 7/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -7/3))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.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 (+.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 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(*.f64 (/.f64 (+.f64 x 5/3) (+.f64 x 5/3)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(+.f64 -1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 -1/3 x)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(+.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)
(log.f64 (+.f64 1 (expm1.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)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 1 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 (+.f64 x -1/3) 2) 1)
(+.f64 x 2/3)
(-.f64 (/.f64 1 (-.f64 4/3 x)) (/.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(*.f64 1 (+.f64 x 2/3))
(+.f64 x 2/3)
(*.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (*.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(+.f64 x 2/3)
(*.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))
(+.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 2/3)) 1))
(+.f64 x 2/3)
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1 (-.f64 4/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 -1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (fma.f64 (+.f64 x -4/3) (+.f64 -1/3 x) 1))
(/.f64 1 (/.f64 (-.f64 4/3 x) (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))) (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 -1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (fma.f64 (+.f64 x -4/3) (+.f64 -1/3 x) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (-.f64 4/3 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 -1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (fma.f64 (+.f64 x -4/3) (+.f64 -1/3 x) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) (+.f64 (pow.f64 (+.f64 x -1/3) 2) (-.f64 4/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (+.f64 (pow.f64 (+.f64 -1/3 x) 2) (-.f64 4/3 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) 1) (-.f64 4/3 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 -1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (fma.f64 (+.f64 x -4/3) (+.f64 -1/3 x) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1/3) 2) 1) (+.f64 x -4/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) -1/3))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1/9) (+.f64 (+.f64 x 1) 1/3))
(/.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) -1/9) (+.f64 x 4/3))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 1) (-.f64 1/9 (*.f64 -1/3 (+.f64 x 1)))))
(/.f64 (+.f64 -1/27 (pow.f64 (+.f64 x 1) 3)) (+.f64 (fma.f64 (+.f64 x 1) (+.f64 x 1) 1/9) (*.f64 1/3 (+.f64 x 1))))
(/.f64 (+.f64 -1/27 (pow.f64 (+.f64 x 1) 3)) (+.f64 1/9 (*.f64 (+.f64 x 1) (+.f64 x 4/3))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2))) (neg.f64 (-.f64 4/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1/3 x) 2)) (-.f64 4/3 x))
(*.f64 (/.f64 (+.f64 x 2/3) (+.f64 x -4/3)) (+.f64 x -4/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x -1/3) (+.f64 x -4/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 -1/3 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1/3 x) 3)) (fma.f64 (+.f64 x -4/3) (+.f64 -1/3 x) 1))
(pow.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
(pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)
(+.f64 x 2/3)
(pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)
(+.f64 x 2/3)
(pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)
(+.f64 x 2/3)
(sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))
(+.f64 x 2/3)
(log.f64 (exp.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2/3))))
(+.f64 x 2/3)
(cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))
(+.f64 x 2/3)
(expm1.f64 (log1p.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(exp.f64 (log1p.f64 (+.f64 x -1/3)))
(exp.f64 (log1p.f64 (+.f64 -1/3 x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x -1/3)) 1))
(exp.f64 (log1p.f64 (+.f64 -1/3 x)))
(log1p.f64 (expm1.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(fma.f64 1 (+.f64 x -1/3) 1)
(+.f64 x 2/3)
(fma.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)) 1)
(+.f64 x 2/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)) 1)
(+.f64 x 2/3)

localize40.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x x) (*.f64 x -1/3))
0.0b
(+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3)))
0.3b
(*.f64 x -1/3)
19.0b
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
Compiler

Compiled 51 to 32 computations (37.3% saved)

series3.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
1.0ms
x
@0
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
1.0ms
x
@inf
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
0.0ms
x
@-inf
(*.f64 x -1/3)
0.0ms
x
@inf
(*.f64 x -1/3)

rewrite198.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
1234×associate-/r*
976×associate-/l*
736×associate-/r/
440×associate-+l+
330×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01476
133768
2451668
Stop Event
node limit
Counts
4 → 306
Calls
Call 1
Inputs
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
(*.f64 x -1/3)
(+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3)))
(-.f64 (*.f64 x x) (*.f64 x -1/3))
Outputs
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simplify192.0ms (5.1%)

Algorithm
egg-herbie
Rules
896×associate-*r*
722×+-commutative
684×associate-*l*
606×distribute-lft-in
592×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073415032
1208113200
Stop Event
node limit
Counts
354 → 466
Calls
Call 1
Inputs
-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 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
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(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3)) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.f64 x -1/3)) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 (neg.f64 x) -1/3 (*.f64 x -1/3)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.f64 x -1/3)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 (neg.f64 x) -1/3 (*.f64 x -1/3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.f64 x -1/3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.f64 x -1/3))))
(+.f64 (*.f64 x 1/3) (*.f64 x x))
(+.f64 (*.f64 x 1/3) (+.f64 (*.f64 x x) (fma.f64 1/3 x (*.f64 x -1/3))))
(+.f64 (*.f64 x 1/3) (+.f64 (*.f64 x x) (+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))))
(+.f64 (*.f64 x 1/3) (+.f64 (*.f64 x x) (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) 1)))
(+.f64 (*.f64 x 1/3) (+.f64 (*.f64 x x) (fma.f64 (neg.f64 x) -1/3 (*.f64 x -1/3))))
(+.f64 (*.f64 x 1/3) (+.f64 (*.f64 x x) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3))))
(+.f64 (*.f64 x 1/3) (+.f64 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3))))
(+.f64 (*.f64 x 1/3) (+.f64 (*.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.f64 x -1/3))))
(+.f64 (*.f64 x 1/3) (+.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x 1/3))))
(+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (*.f64 x (+.f64 x 1/3)))
(+.f64 (+.f64 (*.f64 x 1/3) (fma.f64 1/3 x (*.f64 x -1/3))) (*.f64 x x))
(+.f64 (+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3))) (*.f64 x (+.f64 x 1/3)))
(+.f64 (*.f64 (*.f64 x 1/3) 1) (*.f64 x x))
(+.f64 (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) 1) (*.f64 x (+.f64 x 1/3)))
(+.f64 (fma.f64 (neg.f64 x) -1/3 (*.f64 x -1/3)) (*.f64 x (+.f64 x 1/3)))
(+.f64 (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)) (*.f64 x (+.f64 x 1/3)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3)) (*.f64 x (+.f64 x 1/3)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.f64 x -1/3)) (*.f64 x (+.f64 x 1/3)))
(+.f64 (+.f64 (*.f64 x (+.f64 x 1/3)) (*.f64 x 1/3)) (*.f64 x -1/3))
(+.f64 (+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (*.f64 x x)) (*.f64 x 1/3))
(+.f64 (+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (*.f64 x x)) (+.f64 (*.f64 x 1/3) (fma.f64 1/3 x (*.f64 x -1/3))))
(+.f64 (+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (*.f64 x x)) (*.f64 (*.f64 x 1/3) 1))
(+.f64 (-.f64 (*.f64 x x) (exp.f64 (log1p.f64 (*.f64 x -1/3)))) 1)
(*.f64 x (+.f64 x 1/3))
(*.f64 (*.f64 x (+.f64 x 1/3)) 1)
(*.f64 1 (*.f64 x (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 1/3)))
(*.f64 (+.f64 x 1/3) x)
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))))
(*.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 x -1/3))) (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))) (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))) (*.f64 x (+.f64 x 1/3)))
(*.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (+.f64 (pow.f64 x 6) (*.f64 -1/27 (pow.f64 x 3)))) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/3))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))))) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))) (*.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(/.f64 (pow.f64 x 3) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))) (-.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 1 (*.f64 x (+.f64 x 1/3))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (*.f64 x (+.f64 x -1/3)))
(/.f64 (*.f64 x (+.f64 x -1/3)) (/.f64 (*.f64 x (+.f64 x -1/3)) (*.f64 x (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))) (*.f64 x (+.f64 x 1/3))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))) (/.f64 (*.f64 x (+.f64 x -1/3)) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))) (sqrt.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))))) (/.f64 (*.f64 x (+.f64 x -1/3)) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))))) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))) (cbrt.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x 1/3))) (-.f64 (*.f64 x x) (*.f64 x 1/3)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))) (-.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x 1/3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (*.f64 (*.f64 x x) (*.f64 x 1/3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) (pow.f64 (fma.f64 1/3 x (*.f64 x -1/3)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (-.f64 (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3))) (*.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))) (neg.f64 (*.f64 x (+.f64 x -1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) x) (+.f64 x -1/3))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) 1) (*.f64 x (+.f64 x -1/3)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x -1/3)))) (sqrt.f64 (*.f64 x (+.f64 x -1/3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) (cbrt.f64 (*.f64 x (+.f64 x -1/3))))) (cbrt.f64 (*.f64 x (+.f64 x -1/3))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))) 1) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(pow.f64 (*.f64 x (+.f64 x 1/3)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 1/3))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 1/3))))
(fma.f64 x x (*.f64 x 1/3))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 1 (*.f64 x x) (*.f64 x 1/3))
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/3))
Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 x 1/3))
(neg.f64 (fma.f64 x -1/3 -1/9))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(*.f64 x (+.f64 x 1/3))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))) (neg.f64 (*.f64 x (+.f64 x -1/3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 1/9 x) x))) (*.f64 x (neg.f64 (+.f64 -1/3 x))))
(neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) 1/9)) (*.f64 x (-.f64 1/3 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))))
(/.f64 (-.f64 (*.f64 -1/27 (pow.f64 x 3)) (pow.f64 x 6)) (-.f64 (*.f64 (*.f64 -1/3 x) (*.f64 x (-.f64 1/3 x))) (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) x) (+.f64 x -1/3))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 1/9 x) x)) (/.f64 (/.f64 1 x) (+.f64 -1/3 x)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) 1/9)) (*.f64 x (+.f64 -1/3 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) 1) (*.f64 x (+.f64 x -1/3)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 1/9 x) x)) (/.f64 (/.f64 1 x) (+.f64 -1/3 x)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) 1/9)) (*.f64 x (+.f64 -1/3 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (sqrt.f64 (*.f64 x (+.f64 x -1/3)))) (sqrt.f64 (*.f64 x (+.f64 x -1/3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 1/9 x) x)) (sqrt.f64 (*.f64 x (+.f64 -1/3 x)))) (sqrt.f64 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) 1/9)) (*.f64 (sqrt.f64 (*.f64 x (+.f64 -1/3 x))) (sqrt.f64 (*.f64 x (+.f64 -1/3 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x -1/3))) (cbrt.f64 (*.f64 x (+.f64 x -1/3))))) (cbrt.f64 (*.f64 x (+.f64 x -1/3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 1/9 x) x)) (*.f64 (cbrt.f64 (*.f64 x (+.f64 -1/3 x))) (cbrt.f64 (*.f64 x (+.f64 -1/3 x))))) (cbrt.f64 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) 1/9)) (cbrt.f64 (*.f64 x (+.f64 -1/3 x)))) (*.f64 (cbrt.f64 (*.f64 x (+.f64 -1/3 x))) (cbrt.f64 (*.f64 x (+.f64 -1/3 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))) 1) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) 1) (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 -1/3 (*.f64 x (+.f64 -1/3 x))))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 -1/3 x) (+.f64 -1/3 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 -1/3 (*.f64 x (+.f64 -1/3 x))))))))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 -1/3 x) (+.f64 -1/3 x))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 -1/3 x) (+.f64 -1/3 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) (*.f64 1/27 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))))))
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/27)) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 -1/3 x) (+.f64 -1/3 x)))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 -1/3 x) (+.f64 -1/3 x)))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 -1/3 x) (+.f64 -1/3 x))))))
(pow.f64 (*.f64 x (+.f64 x 1/3)) 1)
(*.f64 x (+.f64 x 1/3))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) 2)
(*.f64 x (+.f64 x 1/3))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 3)
(*.f64 x (+.f64 x 1/3))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/3)
(*.f64 x (+.f64 x 1/3))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1/3)))
(*.f64 (+.f64 x 1/3) (log.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 1/3)))))
(*.f64 x (+.f64 x 1/3))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))
(*.f64 x (+.f64 x 1/3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 x (+.f64 x 1/3))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 x (+.f64 x 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 1/3))) 1))
(*.f64 x (+.f64 x 1/3))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 x (+.f64 x 1/3))
(fma.f64 x x (*.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 x 1/3 (*.f64 x (+.f64 -1/3 (+.f64 x 1/3))))
(*.f64 x (+.f64 -1/3 (+.f64 x 2/3)))
(fma.f64 1 (*.f64 x x) (*.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 x 1/3 (*.f64 x (+.f64 -1/3 (+.f64 x 1/3))))
(*.f64 x (+.f64 -1/3 (+.f64 x 2/3)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 x 1/3 (*.f64 x (+.f64 -1/3 (+.f64 x 1/3))))
(*.f64 x (+.f64 -1/3 (+.f64 x 2/3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 x 1/3 (*.f64 x (+.f64 -1/3 (+.f64 x 1/3))))
(*.f64 x (+.f64 -1/3 (+.f64 x 2/3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/3))

eval399.0ms (10.6%)

Compiler

Compiled 15284 to 11665 computations (23.7% saved)

prune165.0ms (4.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New6222624
Fresh022
Picked101
Done112
Total6245629
Error
0b
Counts
629 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
15.3b
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
0.5b
(-.f64 (+.f64 x 2/3) 1)
0.0b
(+.f64 x -1/3)
32.7b
x
30.3b
-1/3
Compiler

Compiled 30 to 24 computations (20% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x 2/3)
0.5b
(-.f64 (+.f64 x 2/3) 1)
Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 x 2/3) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 x 2/3) 1)
0.0ms
x
@inf
(-.f64 (+.f64 x 2/3) 1)
0.0ms
x
@0
(+.f64 x 2/3)
0.0ms
x
@inf
(+.f64 x 2/3)

rewrite60.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1670×add-sqr-sqrt
1638×*-un-lft-identity
1554×add-cube-cbrt
1544×add-cbrt-cube
152×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115914
2203914
Stop Event
node limit
Counts
2 → 78
Calls
Call 1
Inputs
(-.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2/3 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2/3 (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 2/3))))) (#(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 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.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 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (/.f64 1 (+.f64 x 5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 5/3) (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (+.f64 x 5/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) 1/9) (-.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 (neg.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))) (neg.f64 (+.f64 x 5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1/3) 1)))) (#(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 (cbrt.f64 (+.f64 x -1/3)) 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 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 log.f64 (+.f64 1 (expm1.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 (log.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 1 (+.f64 x 2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)))) (#(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 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 5/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2/3)) (*.f64 (sqrt.f64 (+.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -2/3) (fma.f64 x x -4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))) (+.f64 8/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 x 5/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2/3)))))

simplify57.0ms (1.5%)

Algorithm
egg-herbie
Rules
1036×times-frac
864×fma-def
728×unswap-sqr
640×associate-/l*
634×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01761374
14071308
218281192
Stop Event
node limit
Counts
102 → 94
Calls
Call 1
Inputs
-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)
2/3
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 x -1/3)
(+.f64 2/3 (+.f64 x -1))
(+.f64 2/3 (-.f64 x 1))
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 x 2/3))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.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 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(/.f64 1 (/.f64 (+.f64 x 5/3) (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (+.f64 x 5/3))
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(/.f64 (-.f64 (*.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 (neg.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))) (neg.f64 (+.f64 x 5/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log.f64 (+.f64 x 2/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 x 2/3) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(*.f64 (+.f64 x 2/3) 1)
(*.f64 1 (+.f64 x 2/3))
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (*.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(*.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 2/3)) 1))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))
(*.f64 (+.f64 8/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))
(/.f64 1 (/.f64 (+.f64 x -2/3) (fma.f64 x x -4/9)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))) (+.f64 8/27 (pow.f64 x 3))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x 2/3))))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))
(/.f64 (*.f64 (+.f64 8/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x -2/3)))
(/.f64 (neg.f64 (+.f64 8/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))
(pow.f64 (+.f64 x 2/3) 1)
(pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))
(log.f64 (exp.f64 (+.f64 x 2/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2/3))))
(cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log.f64 (+.f64 x 2/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 2/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 2/3)))
(fma.f64 1 x 2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2/3)
Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
2/3
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 2/3 (+.f64 x -1))
(+.f64 -1/3 x)
(+.f64 2/3 (-.f64 x 1))
(+.f64 -1/3 x)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.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 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (/.f64 1 (+.f64 x 5/3)))
(+.f64 -1/3 x)
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (+.f64 x 5/3) (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(+.f64 -1/3 x)
(/.f64 1 (/.f64 (+.f64 x 5/3) (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))))
(+.f64 -1/3 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (+.f64 x 5/3) (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (+.f64 x 5/3))
(+.f64 -1/3 x)
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))
(+.f64 -1/3 x)
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (+.f64 x 5/3) (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (+.f64 x 5/3) (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x -1/3))
(/.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) (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x))))
(/.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 (neg.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))) (neg.f64 (+.f64 x 5/3)))
(+.f64 -1/3 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 1 (+.f64 (+.f64 x 5/3) (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(+.f64 -1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 -1/3 x)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(+.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)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(+.f64 -1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 -1/3 x)
(expm1.f64 (log.f64 (+.f64 x 2/3)))
(+.f64 -1/3 x)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 1 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(+.f64 -1/3 x)
(-.f64 (+.f64 x 5/3) 1)
(+.f64 x 2/3)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(*.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
(*.f64 1 (+.f64 x 2/3))
(+.f64 x 2/3)
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (*.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(+.f64 x 2/3)
(*.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))
(+.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 2/3)) 1))
(+.f64 x 2/3)
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(*.f64 (+.f64 8/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 1 (/.f64 (+.f64 x -2/3) (fma.f64 x x -4/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))) (+.f64 8/27 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (*.f64 (+.f64 8/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x -2/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (neg.f64 (+.f64 8/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(pow.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
(pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)
(+.f64 x 2/3)
(pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)
(+.f64 x 2/3)
(pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)
(+.f64 x 2/3)
(sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))
(+.f64 x 2/3)
(log.f64 (exp.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 2/3))))
(+.f64 x 2/3)
(cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))
(+.f64 x 2/3)
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(exp.f64 (*.f64 (log.f64 (+.f64 x 2/3)) 1))
(+.f64 x 2/3)
(log1p.f64 (expm1.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(fma.f64 1 x 2/3)
(+.f64 x 2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)
(+.f64 x 2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2/3)
(+.f64 x 2/3)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x -4/3) (+.f64 x -4/3))
0.5b
(-.f64 1 (+.f64 x -4/3))
0.5b
(-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)))
14.2b
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
Compiler

Compiled 43 to 33 computations (23.3% saved)

series2.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
0.0ms
x
@inf
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
0.0ms
x
@-inf
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
0.0ms
x
@0
(*.f64 (+.f64 x -4/3) (+.f64 x -4/3))
0.0ms
x
@inf
(-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)))

rewrite117.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1790×associate-/r*
1482×associate-/l*
1326×associate-/r/
272×+-commutative
252×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01082
124046
2360246
Stop Event
node limit
Counts
4 → 346
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
(-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3)))
(-.f64 1 (+.f64 x -4/3))
(*.f64 (+.f64 x -4/3) (+.f64 x -4/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4/3 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 7/3 x)) (neg.f64 (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x))) (/.f64 1 (-.f64 7/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 4/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 7/3 x)) (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1/3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (+.f64 x 4/3) x)) (-.f64 (/.f64 16/9 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (/.f64 (+.f64 x 4/3) x))) (/.f64 16/9 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (neg.f64 x)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (-.f64 7/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 1 (-.f64 7/3 x))))))) (#(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 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 1 (-.f64 7/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.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 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 7/3 x)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (+.f64 -7/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 7/3 x))) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (sqrt.f64 (-.f64 7/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (pow.f64 (+.f64 x -4/3) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x -4/3) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 16/9 (+.f64 (*.f64 x -4/3) (*.f64 x (+.f64 x -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 (*.f64 x -4/3) (+.f64 16/9 (*.f64 x -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x -4/3)) (+.f64 16/9 (*.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 16/9 (*.f64 x -4/3)) (*.f64 x (+.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -4/3) (+.f64 (*.f64 x (+.f64 x -4/3)) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -4/3) (+.f64 16/9 (*.f64 x (+.f64 x -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x (+.f64 x -4/3))) (-.f64 (+.f64 16/9 (*.f64 x -4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 x -4/3)) 1) 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(+.f64 x -4/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 x -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 x -4/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x -4/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x -4/3) (+.f64 16/9 (*.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -4/3) x (+.f64 16/9 (*.f64 x -4/3)))))))

simplify192.0ms (5.1%)

Algorithm
egg-herbie
Rules
1698×associate-*r*
1600×associate-*l*
1130×associate-/r*
944×associate-*l/
904×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084416682
1254015800
Stop Event
node limit
Counts
394 → 575
Calls
Call 1
Inputs
-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)
-7/9
(-.f64 (*.f64 8/3 x) 7/9)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x)) 7/9)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x)) 7/9)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x)) 7/9)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x)) 7/9)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x)) 7/9)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x)) 7/9)
7/3
(+.f64 7/3 (*.f64 -1 x))
(+.f64 7/3 (*.f64 -1 x))
(+.f64 7/3 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 7/3 (*.f64 -1 x))
(+.f64 7/3 (*.f64 -1 x))
(+.f64 7/3 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 7/3 (*.f64 -1 x))
(+.f64 7/3 (*.f64 -1 x))
(+.f64 7/3 (*.f64 -1 x))
16/9
(+.f64 (*.f64 -8/3 x) 16/9)
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -8/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -8/3 x) (pow.f64 x 2))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 1 (+.f64 x -4/3))
(+.f64 x -1/3)
(+.f64 -4/3 (+.f64 1 x))
(+.f64 (+.f64 x -4/3) 1)
(+.f64 (/.f64 1 (-.f64 7/3 x)) (neg.f64 (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x))))
(+.f64 (+.f64 1 x) -4/3)
(+.f64 -1/3 x)
(+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x))) (/.f64 1 (-.f64 7/3 x)))
(-.f64 1 (-.f64 4/3 x))
(-.f64 (+.f64 x -1/3) 0)
(-.f64 (/.f64 1 (-.f64 7/3 x)) (/.f64 (pow.f64 (+.f64 x -4/3) 2) (-.f64 7/3 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x -1/3))) 1)
(-.f64 -1/3 (neg.f64 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x 4/3) x)) (-.f64 (/.f64 16/9 (+.f64 x 4/3)) 1))
(-.f64 (+.f64 2/3 x) 1)
(-.f64 (+.f64 1 (/.f64 x (/.f64 (+.f64 x 4/3) x))) (/.f64 16/9 (+.f64 x 4/3)))
(-.f64 (+.f64 -1/3 (exp.f64 (log1p.f64 x))) 1)
(-.f64 (-.f64 1 (neg.f64 x)) 4/3)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (-.f64 7/3 x)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 1 (-.f64 7/3 x))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 1 (-.f64 7/3 x))))
(*.f64 (cbrt.f64 (+.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 x -1/3)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (/.f64 1 (-.f64 7/3 x)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (+.f64 -7/3 x)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 7/3 x))) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (sqrt.f64 (-.f64 7/3 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (cbrt.f64 (-.f64 7/3 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (+.f64 x -1/3))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 3))) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -1/3))))
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (cbrt.f64 (pow.f64 (+.f64 x -1/3) 2))) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (-.f64 7/3 x))) (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 1 (+.f64 -7/3 x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (sqrt.f64 (-.f64 7/3 x)))) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (sqrt.f64 (-.f64 7/3 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2))) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (cbrt.f64 (-.f64 7/3 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)))) (+.f64 x -1/3))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)))) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -1/3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 1)) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (-.f64 7/3 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) (cbrt.f64 (-.f64 7/3 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) 1)) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (sqrt.f64 (-.f64 7/3 x)))) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (cbrt.f64 (sqrt.f64 (-.f64 7/3 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 2))) 2) (pow.f64 (cbrt.f64 (-.f64 7/3 x)) 2))) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 4)) (+.f64 x -1/3)) (+.f64 1 (pow.f64 (+.f64 x -4/3) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -1/3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -1/3))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -1/3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -1/3)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -1/3)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -1/3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 x -4/3) 6)) (+.f64 x -1/3)) (+.f64 (pow.f64 (+.f64 x -4/3) 2) (+.f64 1 (pow.f64 (+.f64 x -4/3) 4))))
(pow.f64 (-.f64 7/3 x) 1)
(pow.f64 (sqrt.f64 (-.f64 7/3 x)) 2)
(pow.f64 (cbrt.f64 (-.f64 7/3 x)) 3)
(pow.f64 (pow.f64 (-.f64 7/3 x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 7/3 x) 2))
(log.f64 (exp.f64 (-.f64 7/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 7/3 x))))
(cbrt.f64 (pow.f64 (-.f64 7/3 x) 3))
(expm1.f64 (log.f64 (-.f64 10/3 x)))
(exp.f64 (log.f64 (-.f64 7/3 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 7/3 x)) 1))
(log1p.f64 (expm1.f64 (-.f64 7/3 x)))
(+.f64 1 (-.f64 (pow.f64 (+.f64 x -4/3) 2) 1))
(+.f64 (pow.f64 (+.f64 x -4/3) 2) 0)
(+.f64 16/9 (+.f64 (*.f64 x -4/3) (*.f64 x (+.f64 x -4/3))))
(+.f64 (*.f64 x x) (+.f64 (*.f64 x -4/3) (+.f64 16/9 (*.f64 x -4/3))))
(+.f64 (*.f64 x (+.f64 x -4/3)) (+.f64 16/9 (*.f64 x -4/3)))
(+.f64 (+.f64 16/9 (*.f64 x -4/3)) (*.f64 x (+.f64 x -4/3)))
(+.f64 (*.f64 x -4/3) (+.f64 (*.f64 x (+.f64 x -4/3)) 16/9))
(+.f64 (*.f64 x -4/3) (+.f64 16/9 (*.f64 x (+.f64 x -4/3))))
(+.f64 (+.f64 1 (*.f64 x (+.f64 x -4/3))) (-.f64 (+.f64 16/9 (*.f64 x -4/3)) 1))
(+.f64 (*.f64 (*.f64 x (+.f64 x -4/3)) 1) (*.f64 (+.f64 16/9 (*.f64 x -4/3)) 1))
(+.f64 (*.f64 (+.f64 16/9 (*.f64 x -4/3)) 1) (*.f64 (*.f64 x (+.f64 x -4/3)) 1))
(+.f64 (+.f64 (*.f64 x (+.f64 x -4/3)) 16/9) (*.f64 x -4/3))
(+.f64 (+.f64 (*.f64 x (+.f64 x -4/3)) (*.f64 x -4/3)) 16/9)
(+.f64 (+.f64 (+.f64 16/9 (*.f64 x -4/3)) (*.f64 x -4/3)) (*.f64 x x))
(-.f64 (+.f64 1 (pow.f64 (+.f64 x -4/3) 2)) 1)
(/.f64 1 (/.f64 1 (pow.f64 (+.f64 x -4/3) 2)))
(/.f64 (+.f64 x -4/3) (/.f64 1 (+.f64 x -4/3)))
(/.f64 (pow.f64 (+.f64 x -4/3) 2) 1)
(/.f64 (sqrt.f64 (+.f64 x -4/3)) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 x -4/3)) (+.f64 x -4/3))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/3) 4))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/3) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 x -4/3)) (+.f64 x -4/3))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/3) 4)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x -4/3) 2))))
(/.f64 (fma.f64 x x -16/9) (/.f64 (*.f64 (+.f64 x 4/3) (+.f64 x 4/3)) (fma.f64 x x -16/9)))
(/.f64 (fma.f64 x x -16/9) (/.f64 (+.f64 x 4/3) (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (/.f64 (*.f64 (+.f64 x 4/3) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (+.f64 -64/27 (pow.f64 x 3))))
(/.f64 (+.f64 -64/27 (pow.f64 x 3)) (/.f64 (*.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (+.f64 -64/27 (pow.f64 x 3))))
(/.f64 (+.f64 -64/27 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))) (+.f64 x -4/3)))
(/.f64 (+.f64 -64/27 (pow.f64 x 3)) (/.f64 (*.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))) (+.f64 x 4/3)) (fma.f64 x x -16/9)))
(/.f64 (*.f64 (+.f64 x -4/3) (sqrt.f64 (+.f64 x -4/3))) (/.f64 1 (sqrt.f64 (+.f64 x -4/3))))
(/.f64 (*.f64 (fma.f64 x x -16/9) (fma.f64 x x -16/9)) (*.f64 (+.f64 x 4/3) (+.f64 x 4/3)))
(/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 -64/27 (pow.f64 x 3))) (*.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (*.f64 (+.f64 x -4/3) (cbrt.f64 (pow.f64 (+.f64 x -4/3) 2))) (/.f64 1 (cbrt.f64 (+.f64 x -4/3))))
(/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (+.f64 x 4/3))
(/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))
(/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) (+.f64 x 4/3))
(/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 x -4/3)) (*.f64 x (+.f64 x -4/3))) (*.f64 (+.f64 16/9 (*.f64 x -4/3)) (+.f64 16/9 (*.f64 x -4/3)))) (-.f64 (*.f64 x (+.f64 x -4/3)) (+.f64 16/9 (*.f64 x -4/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -4/3)) 3) (pow.f64 (+.f64 16/9 (*.f64 x -4/3)) 3)) (+.f64 (*.f64 (*.f64 x (+.f64 x -4/3)) (*.f64 x (+.f64 x -4/3))) (-.f64 (*.f64 (+.f64 16/9 (*.f64 x -4/3)) (+.f64 16/9 (*.f64 x -4/3))) (*.f64 (*.f64 x (+.f64 x -4/3)) (+.f64 16/9 (*.f64 x -4/3))))))
(/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 -64/27 (pow.f64 x 3))) (*.f64 (+.f64 x 4/3) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x -16/9)) (*.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))) (+.f64 x 4/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (fma.f64 x x -16/9)) (+.f64 x 4/3)) (+.f64 x 4/3))
(/.f64 (/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) 1) (+.f64 x 4/3))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (sqrt.f64 (+.f64 x 4/3))) (sqrt.f64 (+.f64 x 4/3)))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (+.f64 x 4/3)))) (cbrt.f64 (+.f64 x 4/3)))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) 1) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) 1) (+.f64 x 4/3))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) (sqrt.f64 (+.f64 x 4/3))) (sqrt.f64 (+.f64 x 4/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (+.f64 x 4/3)))) (cbrt.f64 (+.f64 x 4/3)))
(/.f64 (/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) 1) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))
(/.f64 (/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 -64/27 (pow.f64 x 3))) (+.f64 x 4/3)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))
(/.f64 (/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x -16/9)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (+.f64 x 4/3))
(pow.f64 (+.f64 x -4/3) 2)
(pow.f64 (pow.f64 (+.f64 x -4/3) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/3) 2)) 3)
(pow.f64 (pow.f64 (+.f64 x -4/3) 6) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x -4/3) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 x -4/3) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x -4/3) 2))))
(cbrt.f64 (pow.f64 (+.f64 x -4/3) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x -4/3) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 x -4/3))))
(exp.f64 (*.f64 (log.f64 (+.f64 x -4/3)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 x -4/3))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x -4/3) 2)))
(fma.f64 x (+.f64 x -4/3) (+.f64 16/9 (*.f64 x -4/3)))
(fma.f64 (+.f64 x -4/3) x (+.f64 16/9 (*.f64 x -4/3)))
Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
-7/9
(-.f64 (*.f64 8/3 x) 7/9)
(fma.f64 8/3 x -7/9)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x)) 7/9)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 8/3 x -7/9))
(+.f64 (fma.f64 8/3 x -7/9) (*.f64 x (neg.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x)) 7/9)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 8/3 x -7/9))
(+.f64 (fma.f64 8/3 x -7/9) (*.f64 x (neg.f64 x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x))
(fma.f64 -1 (*.f64 x x) (*.f64 x 8/3))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x)) 7/9)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 8/3 x -7/9))
(+.f64 (fma.f64 8/3 x -7/9) (*.f64 x (neg.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x)) 7/9)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 8/3 x -7/9))
(+.f64 (fma.f64 8/3 x -7/9) (*.f64 x (neg.f64 x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x))
(fma.f64 -1 (*.f64 x x) (*.f64 x 8/3))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x)) 7/9)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 8/3 x -7/9))
(+.f64 (fma.f64 8/3 x -7/9) (*.f64 x (neg.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 8/3 x)) 7/9)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 8/3 x -7/9))
(+.f64 (fma.f64 8/3 x -7/9) (*.f64 x (neg.f64 x)))
7/3
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
(+.f64 7/3 (*.f64 -1 x))
(-.f64 7/3 x)
16/9
(+.f64 (*.f64 -8/3 x) 16/9)
(fma.f64 -8/3 x 16/9)
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (fma.f64 -8/3 x 16/9) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 -8/3 x 16/9))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (fma.f64 -8/3 x 16/9) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 -8/3 x 16/9))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -8/3 x) (pow.f64 x 2))
(fma.f64 -8/3 x (*.f64 x x))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (fma.f64 -8/3 x 16/9) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 -8/3 x 16/9))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (fma.f64 -8/3 x 16/9) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 -8/3 x 16/9))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -8/3 x) (pow.f64 x 2))
(fma.f64 -8/3 x (*.f64 x x))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (fma.f64 -8/3 x 16/9) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 -8/3 x 16/9))
(+.f64 (*.f64 -8/3 x) (+.f64 16/9 (pow.f64 x 2)))
(+.f64 (fma.f64 -8/3 x 16/9) (*.f64 x x))
(+.f64 (*.f64 x x) (fma.f64 -8/3 x 16/9))
(+.f64 1 (+.f64 x -4/3))
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -4/3 (+.f64 1 x))
(+.f64 -1/3 x)
(+.f64 (+.f64 x -4/3) 1)
(+.f64 -1/3 x)
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(/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 -64/27 (pow.f64 x 3))) (*.f64 (+.f64 x 4/3) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(*.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (*.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3))))
(/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x -16/9)) (*.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))) (+.f64 x 4/3)))
(*.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (*.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (fma.f64 x x -16/9)) (+.f64 x 4/3)) (+.f64 x 4/3))
(*.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(*.f64 (fma.f64 x x -16/9) (/.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 x 4/3)))
(/.f64 (/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))
(*.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(*.f64 (+.f64 -64/27 (pow.f64 x 3)) (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (*.f64 (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3))) (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) 1) (+.f64 x 4/3))
(*.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 x -4/3))
(*.f64 (+.f64 x -4/3) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (sqrt.f64 (+.f64 x 4/3))) (sqrt.f64 (+.f64 x 4/3)))
(/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3))))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (+.f64 x 4/3)))) (cbrt.f64 (+.f64 x 4/3)))
(/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (+.f64 x 4/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) 1) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))
(*.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (+.f64 x -4/3))
(*.f64 (+.f64 x -4/3) (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (*.f64 (sqrt.f64 (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3)))) (sqrt.f64 (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))))
(/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3)))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3)))) (cbrt.f64 (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) 1) (+.f64 x 4/3))
(*.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 x -4/3))
(*.f64 (+.f64 x -4/3) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) (sqrt.f64 (+.f64 x 4/3))) (sqrt.f64 (+.f64 x 4/3)))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (sqrt.f64 (+.f64 x 4/3))) (sqrt.f64 (+.f64 x 4/3)))
(/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 x -4/3)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (+.f64 x 4/3)))) (cbrt.f64 (+.f64 x 4/3)))
(/.f64 (*.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) (*.f64 (cbrt.f64 (+.f64 x 4/3)) (cbrt.f64 (+.f64 x 4/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) 1) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))
(*.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (+.f64 x -4/3))
(*.f64 (+.f64 x -4/3) (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))) (sqrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (*.f64 (sqrt.f64 (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3)))) (sqrt.f64 (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3))))))
(/.f64 (/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (+.f64 x -4/3)) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))
(/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (cbrt.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))))))
(/.f64 (*.f64 (+.f64 x -4/3) (+.f64 -64/27 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3)))) (*.f64 (cbrt.f64 (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3)))) (cbrt.f64 (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -16/9) (+.f64 -64/27 (pow.f64 x 3))) (+.f64 x 4/3)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3))))
(*.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (*.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3))))
(/.f64 (/.f64 (*.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x -16/9)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (+.f64 x 4/3))
(*.f64 (/.f64 (+.f64 -64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x -4/3)))) (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)))
(/.f64 (*.f64 (/.f64 (fma.f64 x x -16/9) (+.f64 x 4/3)) (+.f64 -64/27 (pow.f64 x 3))) (fma.f64 x x (+.f64 16/9 (*.f64 x 4/3))))
(pow.f64 (+.f64 x -4/3) 2)
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (pow.f64 (+.f64 x -4/3) 2) 1)
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x -4/3) 2)) 3)
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(pow.f64 (pow.f64 (+.f64 x -4/3) 6) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x -4/3) 6))
(sqrt.f64 (pow.f64 (+.f64 x -4/3) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 x -4/3) 2)))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x -4/3) 2))))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(cbrt.f64 (pow.f64 (+.f64 x -4/3) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x -4/3) 2)))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 x -4/3))))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(exp.f64 (*.f64 (log.f64 (+.f64 x -4/3)) 2))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 x -4/3))) 1))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x -4/3) 2)))
(+.f64 1 (+.f64 -1 (pow.f64 (+.f64 x -4/3) 2)))
(pow.f64 (+.f64 x -4/3) 2)
(fma.f64 x (+.f64 x -4/3) (+.f64 16/9 (*.f64 x -4/3)))
(fma.f64 x -4/3 (fma.f64 x (+.f64 x -4/3) 16/9))
(+.f64 16/9 (*.f64 x (+.f64 x -8/3)))
(fma.f64 (+.f64 x -4/3) x (+.f64 16/9 (*.f64 x -4/3)))
(fma.f64 x -4/3 (fma.f64 x (+.f64 x -4/3) 16/9))
(+.f64 16/9 (*.f64 x (+.f64 x -8/3)))

eval322.0ms (8.5%)

Compiler

Compiled 16392 to 13470 computations (17.8% saved)

prune195.0ms (5.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6681669
Fresh022
Picked101
Done022
Total6695674
Error
0b
Counts
674 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
30.0b
(/.f64 (-.f64 1 (+.f64 (*.f64 -8/3 x) 16/9)) (-.f64 1 (+.f64 x -4/3)))
0.5b
(-.f64 (+.f64 x 2/3) 1)
0.0b
(+.f64 x -1/3)
32.7b
x
30.3b
-1/3
Compiler

Compiled 28 to 23 computations (17.9% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (-.f64 1 (+.f64 (*.f64 -8/3 x) 16/9)) (-.f64 1 (+.f64 x -4/3)))
0.3b
(*.f64 -8/3 x)
0.5b
(-.f64 1 (+.f64 x -4/3))
0.5b
(-.f64 1 (+.f64 (*.f64 -8/3 x) 16/9))
Compiler

Compiled 42 to 34 computations (19% saved)

series2.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 -8/3 x)
0.0ms
x
@-inf
(*.f64 -8/3 x)
0.0ms
x
@inf
(/.f64 (-.f64 1 (+.f64 (*.f64 -8/3 x) 16/9)) (-.f64 1 (+.f64 x -4/3)))
0.0ms
x
@-inf
(/.f64 (-.f64 1 (+.f64 (*.f64 -8/3 x) 16/9)) (-.f64 1 (+.f64 x -4/3)))
0.0ms
x
@0
(-.f64 1 (+.f64 (*.f64 -8/3 x) 16/9))

rewrite96.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1608×associate-/r*
1274×associate-/l*
1080×associate-/r/
330×+-commutative
314×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01355
130945
2426345
Stop Event
node limit
Counts
3 → 154
Calls
Call 1
Inputs
(-.f64 1 (+.f64 (*.f64 -8/3 x) 16/9))
(*.f64 -8/3 x)
(/.f64 (-.f64 1 (+.f64 (*.f64 -8/3 x) 16/9)) (-.f64 1 (+.f64 x -4/3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 -8/3 x 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (fma.f64 -8/3 x 16/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 -1 (*.f64 -8/3 x)) -16/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 8/3 x) -16/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 x) -8/3) -16/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 -8/3 x))) (sqrt.f64 (*.f64 -8/3 x))) -16/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -8/3 x)) 2)) (cbrt.f64 (*.f64 -8/3 x))) -16/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 (*.f64 -8/3 x)) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 -1 (*.f64 -8/3 x)) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 8/3 x) 16/9))))) 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simplify120.0ms (3.2%)

Algorithm
egg-herbie
Rules
792×associate-/l*
758×distribute-lft-in
710×distribute-rgt-in
594×associate-*r*
556×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04716124
114285792
276755792
Stop Event
node limit
Counts
178 → 267
Calls
Call 1
Inputs
-7/9
(-.f64 (*.f64 8/3 x) 7/9)
(-.f64 (*.f64 8/3 x) 7/9)
(-.f64 (*.f64 8/3 x) 7/9)
(*.f64 8/3 x)
(-.f64 (*.f64 8/3 x) 7/9)
(-.f64 (*.f64 8/3 x) 7/9)
(-.f64 (*.f64 8/3 x) 7/9)
(*.f64 8/3 x)
(-.f64 (*.f64 8/3 x) 7/9)
(-.f64 (*.f64 8/3 x) 7/9)
(-.f64 (*.f64 8/3 x) 7/9)
-1/3
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 3/7 (pow.f64 x 2)) x) 1/3)
(-.f64 (+.f64 (*.f64 3/7 (pow.f64 x 2)) (+.f64 (*.f64 9/49 (pow.f64 x 3)) x)) 1/3)
-8/3
(neg.f64 (+.f64 8/3 (*.f64 49/9 (/.f64 1 x))))
(neg.f64 (+.f64 8/3 (+.f64 (*.f64 343/27 (/.f64 1 (pow.f64 x 2))) (*.f64 49/9 (/.f64 1 x)))))
(neg.f64 (+.f64 8/3 (+.f64 (*.f64 343/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 49/9 (/.f64 1 x)) (*.f64 2401/81 (/.f64 1 (pow.f64 x 3)))))))
-8/3
(neg.f64 (+.f64 8/3 (*.f64 49/9 (/.f64 1 x))))
(neg.f64 (+.f64 8/3 (+.f64 (*.f64 343/27 (/.f64 1 (pow.f64 x 2))) (*.f64 49/9 (/.f64 1 x)))))
(neg.f64 (+.f64 8/3 (+.f64 (*.f64 343/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 49/9 (/.f64 1 x)) (*.f64 2401/81 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 1 (neg.f64 (fma.f64 -8/3 x 16/9)))
(+.f64 1 (*.f64 (neg.f64 (fma.f64 -8/3 x 16/9)) 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 -8/3 x)) -16/9))
(+.f64 1 (+.f64 (*.f64 8/3 x) -16/9))
(+.f64 1 (+.f64 (*.f64 (neg.f64 x) -8/3) -16/9))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 -8/3 x))) (sqrt.f64 (*.f64 -8/3 x))) -16/9))
(+.f64 1 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -8/3 x)) 2)) (cbrt.f64 (*.f64 -8/3 x))) -16/9))
(+.f64 1 (-.f64 (neg.f64 (*.f64 -8/3 x)) 16/9))
(+.f64 1 (-.f64 (*.f64 -1 (*.f64 -8/3 x)) 16/9))
(+.f64 1 (-.f64 (*.f64 8/3 x) 16/9))
(+.f64 1 (-.f64 (*.f64 (neg.f64 x) -8/3) 16/9))
(+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 -8/3 x))) (sqrt.f64 (*.f64 -8/3 x))) 16/9))
(+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -8/3 x)) 2)) (cbrt.f64 (*.f64 -8/3 x))) 16/9))
(+.f64 (+.f64 1 (*.f64 8/3 x)) -16/9)
(+.f64 (neg.f64 (fma.f64 -8/3 x 16/9)) 1)
(+.f64 -7/9 (neg.f64 (*.f64 -8/3 x)))
(+.f64 (*.f64 (neg.f64 (fma.f64 -8/3 x 16/9)) 1) 1)
(+.f64 (neg.f64 (*.f64 -8/3 x)) -7/9)
(+.f64 -16/9 (+.f64 1 (*.f64 8/3 x)))
(+.f64 (-.f64 1 (+.f64 (*.f64 -8/3 x) 25/9)) 1)
(+.f64 (-.f64 1 (/.f64 (*.f64 x x) (/.f64 (fma.f64 -8/3 x -16/9) 64/9))) (/.f64 256/81 (fma.f64 -8/3 x -16/9)))
(+.f64 (-.f64 -7/9 (exp.f64 (log1p.f64 (*.f64 -8/3 x)))) 1)
(*.f64 1 (-.f64 -7/9 (*.f64 -8/3 x)))
(*.f64 (-.f64 -7/9 (*.f64 -8/3 x)) 1)
(*.f64 (sqrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))) (sqrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))))
(*.f64 (cbrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))) (pow.f64 (cbrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))) 2) (cbrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)) (/.f64 1 (+.f64 (*.f64 -8/3 x) 25/9)))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9)))))
(*.f64 (/.f64 1 (+.f64 (*.f64 -8/3 x) 25/9)) (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9)))) (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)) (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2))) (-.f64 -7/9 (*.f64 -8/3 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)) (+.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 -8/3 x 16/9) 2) (fma.f64 -8/3 x 16/9))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (-.f64 1 (*.f64 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9)) (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9))))) (-.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (+.f64 1 (pow.f64 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9)) (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9))) (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9)))))
(/.f64 1 (/.f64 1 (-.f64 -7/9 (*.f64 -8/3 x))))
(/.f64 (-.f64 -7/9 (*.f64 -8/3 x)) 1)
(/.f64 (sqrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))) (/.f64 1 (sqrt.f64 (-.f64 -7/9 (*.f64 -8/3 x)))))
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(exp.f64 (log.f64 (/.f64 (-.f64 -7/9 (*.f64 -8/3 x)) (-.f64 7/3 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -7/9 (*.f64 -8/3 x)) (-.f64 7/3 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -7/9 (*.f64 -8/3 x)) (-.f64 7/3 x))))
Outputs
-7/9
(-.f64 (*.f64 8/3 x) 7/9)
(fma.f64 8/3 x -7/9)
(-.f64 (*.f64 8/3 x) 7/9)
(fma.f64 8/3 x -7/9)
(-.f64 (*.f64 8/3 x) 7/9)
(fma.f64 8/3 x -7/9)
(*.f64 8/3 x)
(-.f64 (*.f64 8/3 x) 7/9)
(fma.f64 8/3 x -7/9)
(-.f64 (*.f64 8/3 x) 7/9)
(fma.f64 8/3 x -7/9)
(-.f64 (*.f64 8/3 x) 7/9)
(fma.f64 8/3 x -7/9)
(*.f64 8/3 x)
(-.f64 (*.f64 8/3 x) 7/9)
(fma.f64 8/3 x -7/9)
(-.f64 (*.f64 8/3 x) 7/9)
(fma.f64 8/3 x -7/9)
(-.f64 (*.f64 8/3 x) 7/9)
(fma.f64 8/3 x -7/9)
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 (+.f64 (*.f64 3/7 (pow.f64 x 2)) x) 1/3)
(+.f64 (fma.f64 3/7 (*.f64 x x) x) -1/3)
(fma.f64 3/7 (*.f64 x x) (+.f64 x -1/3))
(-.f64 (+.f64 (*.f64 3/7 (pow.f64 x 2)) (+.f64 (*.f64 9/49 (pow.f64 x 3)) x)) 1/3)
(+.f64 (fma.f64 3/7 (*.f64 x x) (fma.f64 9/49 (pow.f64 x 3) x)) -1/3)
(fma.f64 3/7 (*.f64 x x) (+.f64 (fma.f64 9/49 (pow.f64 x 3) x) -1/3))
-8/3
(neg.f64 (+.f64 8/3 (*.f64 49/9 (/.f64 1 x))))
(+.f64 -8/3 (neg.f64 (/.f64 49/9 x)))
(+.f64 -8/3 (/.f64 -49/9 x))
(neg.f64 (+.f64 8/3 (+.f64 (*.f64 343/27 (/.f64 1 (pow.f64 x 2))) (*.f64 49/9 (/.f64 1 x)))))
(+.f64 -8/3 (neg.f64 (+.f64 (/.f64 49/9 x) (/.f64 343/27 (*.f64 x x)))))
(-.f64 -8/3 (+.f64 (/.f64 49/9 x) (/.f64 343/27 (*.f64 x x))))
(neg.f64 (+.f64 8/3 (+.f64 (*.f64 343/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 49/9 (/.f64 1 x)) (*.f64 2401/81 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -8/3 (neg.f64 (+.f64 (+.f64 (/.f64 49/9 x) (/.f64 343/27 (*.f64 x x))) (/.f64 2401/81 (pow.f64 x 3)))))
(-.f64 -8/3 (+.f64 (/.f64 49/9 x) (+.f64 (/.f64 343/27 (*.f64 x x)) (/.f64 2401/81 (pow.f64 x 3)))))
-8/3
(neg.f64 (+.f64 8/3 (*.f64 49/9 (/.f64 1 x))))
(+.f64 -8/3 (neg.f64 (/.f64 49/9 x)))
(+.f64 -8/3 (/.f64 -49/9 x))
(neg.f64 (+.f64 8/3 (+.f64 (*.f64 343/27 (/.f64 1 (pow.f64 x 2))) (*.f64 49/9 (/.f64 1 x)))))
(+.f64 -8/3 (neg.f64 (+.f64 (/.f64 49/9 x) (/.f64 343/27 (*.f64 x x)))))
(-.f64 -8/3 (+.f64 (/.f64 49/9 x) (/.f64 343/27 (*.f64 x x))))
(neg.f64 (+.f64 8/3 (+.f64 (*.f64 343/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 49/9 (/.f64 1 x)) (*.f64 2401/81 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -8/3 (neg.f64 (+.f64 (+.f64 (/.f64 49/9 x) (/.f64 343/27 (*.f64 x x))) (/.f64 2401/81 (pow.f64 x 3)))))
(-.f64 -8/3 (+.f64 (/.f64 49/9 x) (+.f64 (/.f64 343/27 (*.f64 x x)) (/.f64 2401/81 (pow.f64 x 3)))))
(+.f64 1 (neg.f64 (fma.f64 -8/3 x 16/9)))
(fma.f64 8/3 x -7/9)
(+.f64 1 (*.f64 (neg.f64 (fma.f64 -8/3 x 16/9)) 1))
(fma.f64 8/3 x -7/9)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 -8/3 x)) -16/9))
(fma.f64 8/3 x -7/9)
(+.f64 1 (+.f64 (*.f64 8/3 x) -16/9))
(fma.f64 8/3 x -7/9)
(+.f64 1 (+.f64 (*.f64 (neg.f64 x) -8/3) -16/9))
(fma.f64 8/3 x -7/9)
(+.f64 1 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 -8/3 x))) (sqrt.f64 (*.f64 -8/3 x))) -16/9))
(fma.f64 8/3 x -7/9)
(+.f64 1 (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -8/3 x)) 2)) (cbrt.f64 (*.f64 -8/3 x))) -16/9))
(fma.f64 8/3 x -7/9)
(+.f64 1 (-.f64 (neg.f64 (*.f64 -8/3 x)) 16/9))
(fma.f64 8/3 x -7/9)
(+.f64 1 (-.f64 (*.f64 -1 (*.f64 -8/3 x)) 16/9))
(fma.f64 8/3 x -7/9)
(+.f64 1 (-.f64 (*.f64 8/3 x) 16/9))
(fma.f64 8/3 x -7/9)
(+.f64 1 (-.f64 (*.f64 (neg.f64 x) -8/3) 16/9))
(fma.f64 8/3 x -7/9)
(+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 -8/3 x))) (sqrt.f64 (*.f64 -8/3 x))) 16/9))
(fma.f64 8/3 x -7/9)
(+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -8/3 x)) 2)) (cbrt.f64 (*.f64 -8/3 x))) 16/9))
(fma.f64 8/3 x -7/9)
(+.f64 (+.f64 1 (*.f64 8/3 x)) -16/9)
(fma.f64 8/3 x -7/9)
(+.f64 (neg.f64 (fma.f64 -8/3 x 16/9)) 1)
(fma.f64 8/3 x -7/9)
(+.f64 -7/9 (neg.f64 (*.f64 -8/3 x)))
(fma.f64 8/3 x -7/9)
(+.f64 (*.f64 (neg.f64 (fma.f64 -8/3 x 16/9)) 1) 1)
(fma.f64 8/3 x -7/9)
(+.f64 (neg.f64 (*.f64 -8/3 x)) -7/9)
(fma.f64 8/3 x -7/9)
(+.f64 -16/9 (+.f64 1 (*.f64 8/3 x)))
(fma.f64 8/3 x -7/9)
(+.f64 (-.f64 1 (+.f64 (*.f64 -8/3 x) 25/9)) 1)
(fma.f64 8/3 x -7/9)
(+.f64 (-.f64 1 (/.f64 (*.f64 x x) (/.f64 (fma.f64 -8/3 x -16/9) 64/9))) (/.f64 256/81 (fma.f64 -8/3 x -16/9)))
(-.f64 1 (-.f64 (/.f64 x (/.f64 (/.f64 (fma.f64 -8/3 x -16/9) 64/9) x)) (/.f64 256/81 (fma.f64 -8/3 x -16/9))))
(+.f64 (+.f64 (/.f64 256/81 (fma.f64 x -8/3 -16/9)) 1) (*.f64 (/.f64 x (/.f64 (fma.f64 x -8/3 -16/9) x)) -64/9))
(+.f64 (-.f64 -7/9 (exp.f64 (log1p.f64 (*.f64 -8/3 x)))) 1)
(fma.f64 8/3 x -7/9)
(*.f64 1 (-.f64 -7/9 (*.f64 -8/3 x)))
(fma.f64 8/3 x -7/9)
(*.f64 (-.f64 -7/9 (*.f64 -8/3 x)) 1)
(fma.f64 8/3 x -7/9)
(*.f64 (sqrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))) (sqrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))))
(fma.f64 8/3 x -7/9)
(*.f64 (cbrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))) (pow.f64 (cbrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))) 2))
(fma.f64 8/3 x -7/9)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))) 2) (cbrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))))
(fma.f64 8/3 x -7/9)
(*.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)) (/.f64 1 (+.f64 (*.f64 -8/3 x) 25/9)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)) (fma.f64 -8/3 x 25/9))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 2)) (fma.f64 x -8/3 25/9))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (fma.f64 -8/3 x 25/9))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 3)) (fma.f64 (fma.f64 x -8/3 16/9) (fma.f64 x -8/3 25/9) 1))
(*.f64 (/.f64 1 (+.f64 (*.f64 -8/3 x) 25/9)) (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)) (fma.f64 -8/3 x 25/9))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 2)) (fma.f64 x -8/3 25/9))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9)))) (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (fma.f64 -8/3 x 25/9))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 3)) (fma.f64 (fma.f64 x -8/3 16/9) (fma.f64 x -8/3 25/9) 1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)) (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2))) (-.f64 -7/9 (*.f64 -8/3 x)))
(fma.f64 8/3 x -7/9)
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)) (+.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 -8/3 x 16/9) 2) (fma.f64 -8/3 x 16/9))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 2)) (+.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 3))) (+.f64 (pow.f64 (fma.f64 x -8/3 16/9) 2) (fma.f64 8/3 x -7/9)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (-.f64 1 (*.f64 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9)) (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9))))) (-.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (-.f64 1 (*.f64 (pow.f64 (fma.f64 -8/3 x 16/9) 2) (*.f64 (fma.f64 -8/3 x 25/9) (fma.f64 -8/3 x 25/9))))) (-.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (fma.f64 -8/3 x 25/9))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 3)) (+.f64 1 (*.f64 (*.f64 (fma.f64 x -8/3 25/9) (pow.f64 (fma.f64 x -8/3 16/9) 2)) (fma.f64 8/3 x -25/9)))) (+.f64 1 (*.f64 (fma.f64 x -8/3 16/9) (fma.f64 8/3 x -25/9))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (+.f64 1 (pow.f64 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9)) (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9))) (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (+.f64 1 (pow.f64 (*.f64 (fma.f64 -8/3 x 16/9) (fma.f64 -8/3 x 25/9)) 3))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (fma.f64 -8/3 x 16/9) 2) (*.f64 (fma.f64 -8/3 x 25/9) (fma.f64 -8/3 x 25/9))) (*.f64 (fma.f64 -8/3 x 16/9) (fma.f64 -8/3 x 25/9)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 3)) (/.f64 (+.f64 1 (pow.f64 (*.f64 (fma.f64 x -8/3 16/9) (fma.f64 x -8/3 25/9)) 3)) (+.f64 1 (*.f64 (fma.f64 x -8/3 25/9) (+.f64 (*.f64 (fma.f64 x -8/3 25/9) (pow.f64 (fma.f64 x -8/3 16/9) 2)) (fma.f64 8/3 x -16/9))))))
(/.f64 1 (/.f64 1 (-.f64 -7/9 (*.f64 -8/3 x))))
(fma.f64 8/3 x -7/9)
(/.f64 (-.f64 -7/9 (*.f64 -8/3 x)) 1)
(fma.f64 8/3 x -7/9)
(/.f64 (sqrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))) (/.f64 1 (sqrt.f64 (-.f64 -7/9 (*.f64 -8/3 x)))))
(fma.f64 8/3 x -7/9)
(/.f64 (cbrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))) 2)))
(fma.f64 8/3 x -7/9)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -7/9 (*.f64 -8/3 x))) 2) (/.f64 1 (cbrt.f64 (-.f64 -7/9 (*.f64 -8/3 x)))))
(fma.f64 8/3 x -7/9)
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)) (+.f64 (*.f64 -8/3 x) 25/9))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)) (fma.f64 -8/3 x 25/9))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 2)) (fma.f64 x -8/3 25/9))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 -8/3 x) 25/9))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)) (fma.f64 -8/3 x 25/9))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 2)) (fma.f64 x -8/3 25/9))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (fma.f64 -8/3 x 25/9))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 3)) (fma.f64 (fma.f64 x -8/3 16/9) (fma.f64 x -8/3 25/9) 1))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9))))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)) (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (fma.f64 -8/3 x 25/9))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 3)) (fma.f64 (fma.f64 x -8/3 16/9) (fma.f64 x -8/3 25/9) 1))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2))) (/.f64 (+.f64 (*.f64 -8/3 x) 25/9) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2))) (fma.f64 -8/3 x 25/9)) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 2)))) (fma.f64 x -8/3 25/9))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3))) (/.f64 (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3))) (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (fma.f64 -8/3 x 25/9)))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3))))
(*.f64 (hypot.f64 1 (pow.f64 (fma.f64 8/3 x -16/9) 3/2)) (/.f64 (hypot.f64 1 (pow.f64 (fma.f64 8/3 x -16/9) 3/2)) (fma.f64 (fma.f64 x -8/3 16/9) (fma.f64 x -8/3 25/9) 1)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)))) (/.f64 (+.f64 (*.f64 -8/3 x) 25/9) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)))) (/.f64 (fma.f64 -8/3 x 25/9) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 2))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 2))) (/.f64 (fma.f64 x -8/3 25/9) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)))) (/.f64 (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (+.f64 (*.f64 -8/3 x) 25/9))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3)))) (+.f64 1 (*.f64 (fma.f64 -8/3 x 16/9) (fma.f64 -8/3 x 25/9)))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 3))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 3))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 3))) (/.f64 (fma.f64 (fma.f64 x -8/3 16/9) (fma.f64 x -8/3 25/9) 1) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 3))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2))) (neg.f64 (+.f64 (*.f64 -8/3 x) 25/9)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -8/3 x 16/9) 2)) (fma.f64 -8/3 x 25/9))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x -8/3 16/9) 2)) (fma.f64 x -8/3 25/9))
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(*.f64 (fma.f64 8/3 x -7/9) (/.f64 -1 (+.f64 x -7/3)))
(/.f64 (neg.f64 (fma.f64 8/3 x -7/9)) (+.f64 x -7/3))
(/.f64 (-.f64 (*.f64 x -8/3) -7/9) (+.f64 x -7/3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -7/9 (*.f64 -8/3 x)) (-.f64 7/3 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 8/3 x -7/9) (-.f64 7/3 x)) 2))
(fabs.f64 (/.f64 (fma.f64 8/3 x -7/9) (-.f64 7/3 x)))
(log.f64 (exp.f64 (/.f64 (-.f64 -7/9 (*.f64 -8/3 x)) (-.f64 7/3 x))))
(/.f64 (fma.f64 8/3 x -7/9) (-.f64 7/3 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -7/9 (*.f64 -8/3 x)) (-.f64 7/3 x)))))
(/.f64 (fma.f64 8/3 x -7/9) (-.f64 7/3 x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -7/9 (*.f64 -8/3 x)) (-.f64 7/3 x)) 3))
(/.f64 (fma.f64 8/3 x -7/9) (-.f64 7/3 x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -7/9 (*.f64 -8/3 x)) 3) (pow.f64 (-.f64 7/3 x) 3)))
(/.f64 (fma.f64 8/3 x -7/9) (-.f64 7/3 x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -7/9 (*.f64 -8/3 x)) (-.f64 7/3 x))))
(/.f64 (fma.f64 8/3 x -7/9) (-.f64 7/3 x))
(exp.f64 (log.f64 (/.f64 (-.f64 -7/9 (*.f64 -8/3 x)) (-.f64 7/3 x))))
(/.f64 (fma.f64 8/3 x -7/9) (-.f64 7/3 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -7/9 (*.f64 -8/3 x)) (-.f64 7/3 x))) 1))
(/.f64 (fma.f64 8/3 x -7/9) (-.f64 7/3 x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -7/9 (*.f64 -8/3 x)) (-.f64 7/3 x))))
(/.f64 (fma.f64 8/3 x -7/9) (-.f64 7/3 x))

eval264.0ms (7%)

Compiler

Compiled 12476 to 10498 computations (15.9% saved)

prune78.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4821483
Fresh022
Picked101
Done022
Total4835488
Error
0b
Counts
488 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(-.f64 (+.f64 x 2/3) 1)
0.0b
(+.f64 x -1/3)
30.0b
(*.f64 (/.f64 1 (+.f64 -7/3 x)) (+.f64 7/9 (*.f64 -8/3 x)))
32.7b
x
30.3b
-1/3
Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes16.0ms (0.4%)

Counts
10 → 1
Calls
Call 1
Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 x (/.f64 1 3))
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(*.f64 (/.f64 1 (+.f64 -7/3 x)) (+.f64 7/9 (*.f64 -8/3 x)))
(/.f64 (-.f64 1 (+.f64 (*.f64 -8/3 x) 16/9)) (-.f64 1 (+.f64 x -4/3)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -4/3) (+.f64 x -4/3))) (-.f64 1 (+.f64 x -4/3)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
Outputs
(+.f64 x -1/3)
Calls

2 calls:

8.0ms
(-.f64 x (/.f64 1 3))
5.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 x (/.f64 1 3))
Compiler

Compiled 85 to 67 computations (21.2% saved)

regimes10.0ms (0.3%)

Accuracy

Total -60.8b remaining (-5578.9%)

Threshold costs -60.8b (-5578.9%)

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

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 5 to 3 computations (40% saved)

bsearch63.0ms (1.7%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
0.02832668147350202
15046.84216863873
14.0ms
-63.962050854720786
-3.7957732889602613e-16
Results
59.0ms304×body256valid
Compiler

Compiled 124 to 103 computations (16.9% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01429
12029
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 x -1/3)
(if (<=.f64 x -5764607523034235/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) -1/3 x))
-1/3
Outputs
(+.f64 x -1/3)
(if (<=.f64 x -5764607523034235/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) -1/3 x))
-1/3
Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness12.0ms (0.3%)

Algorithm
egg-herbie
Rules
1-exp
sub-neg
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
1147
2157
Stop Event
saturated
Compiler

Compiled 19 to 15 computations (21.1% saved)

end50.0ms (1.3%)

Compiler

Compiled 16 to 11 computations (31.3% saved)

Profiling

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