Details

Time bar (total: 1.2s)

analyze3.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample629.0ms (51.9%)

Results
615.0ms8256×body128valid
Compiler

Compiled 14 to 12 computations (14.3% saved)

preprocess13.0ms (1%)

Algorithm
2×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1124
2134
011
Stop Event
1×saturated
1×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 6 to 5 computations (16.7% saved)

simplify10.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1124
2134
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 x (/.f64 1 3))
Outputs
(-.f64 x (/.f64 1 3))
(-.f64 x 1/3)

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(-.f64 x 1/3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x 1/3)

series1.0ms (0.1%)

Counts
1 → 3
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)

rewrite33.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
479×pow1_binary64
452×add-log-exp_binary64
452×log1p-expm1-u_binary64
452×expm1-log1p-u_binary64
445×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1934
211644
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(-.f64 x 1/3)
Outputs
((#(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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3))) (+.f64 (pow.f64 x 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (+.f64 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 (fma.f64 x x -1/9) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (-.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -1/3)))))))

simplify6.0ms (0.5%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

prune17.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh000
Picked011
Done000
Total30333
Error
0b
Counts
33 → 3
Alt Table
StatusErrorProgram
▶17.6b
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
23.6b
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3)))))
✓0.0b
(-.f64 x 1/3)
Compiler

Compiled 307 to 229 computations (25.4% saved)

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x x -1/9)
✓0.0b
(+.f64 x 1/3)
✓0.0b
(/.f64 1 (+.f64 x 1/3))
✓16.3b
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))

series5.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

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

rewrite53.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
848×log1p-expm1-u_binary64
848×expm1-log1p-u_binary64
94×add-sqr-sqrt_binary64
88×add-cbrt-cube_binary64
88×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0927
119420
2235520
Stop Event
1×node limit
Counts
4 → 124
Calls
Call 1
Inputs
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 1 (+.f64 x 1/3))
(+.f64 x 1/3)
(fma.f64 x x -1/9)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 2)) (/.f64 (+.f64 x 1/3) (cbrt.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (+.f64 x 1/3) (sqrt.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2))) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 x x -1/9)) (+.f64 -1/3 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/9) -1) (+.f64 -1/3 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3) (pow.f64 (fma.f64 x x -1/9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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)) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1/3) -1/2) (pow.f64 (+.f64 x 1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1/3 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1/3)) -1) (pow.f64 (sqrt.f64 (+.f64 x 1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.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 exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1/3)) (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 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 1/3)) (pow.f64 (+.f64 x 1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/3 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/9 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 2)) (cbrt.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 2)) (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1/9)) (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1/729) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1/81 (*.f64 (*.f64 x x) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x x) 3) -1/729) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 1/81 (*.f64 (*.f64 x x) -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1/81) (+.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1/81) (-.f64 (*.f64 x x) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))))))

simplify32.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
935×fma-neg_binary64
731×cancel-sign-sub-inv_binary64
415×times-frac_binary64
252×fma-def_binary64
187×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040337
1107315
2269311
3777303
42587303
Stop Event
1×node limit
Counts
172 → 148
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)
3
(-.f64 3 (*.f64 9 x))
(-.f64 (+.f64 3 (*.f64 27 (pow.f64 x 2))) (*.f64 9 x))
(-.f64 (+.f64 3 (*.f64 27 (pow.f64 x 2))) (+.f64 (*.f64 9 x) (*.f64 81 (pow.f64 x 3))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 1/9 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 1/9 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 1/9 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 1/9 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))))
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
Outputs
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
3
(-.f64 3 (*.f64 9 x))
(+.f64 3 (*.f64 -9 x))
(+.f64 3 (*.f64 x -9))
(fma.f64 x -9 3)
(-.f64 (+.f64 3 (*.f64 27 (pow.f64 x 2))) (*.f64 9 x))
(+.f64 3 (-.f64 (*.f64 27 (*.f64 x x)) (*.f64 x 9)))
(+.f64 3 (fma.f64 27 (*.f64 x x) (*.f64 x -9)))
(fma.f64 x -9 (fma.f64 x (*.f64 x 27) 3))
(fma.f64 x (fma.f64 x 27 -9) 3)
(-.f64 (+.f64 3 (*.f64 27 (pow.f64 x 2))) (+.f64 (*.f64 9 x) (*.f64 81 (pow.f64 x 3))))
(-.f64 (+.f64 3 (*.f64 27 (*.f64 x x))) (fma.f64 9 x (*.f64 81 (pow.f64 x 3))))
(-.f64 (fma.f64 27 (*.f64 x x) 3) (fma.f64 x 9 (*.f64 81 (pow.f64 x 3))))
(+.f64 (fma.f64 x -9 (fma.f64 x (*.f64 x 27) 3)) (*.f64 (pow.f64 x 3) -81))
(fma.f64 (pow.f64 x 3) -81 (fma.f64 x (fma.f64 x 27 -9) 3))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1/3 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 1/9 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 1/3 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 (/.f64 1/3 x) x)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 1/9 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/3 x) x) (/.f64 1/27 (pow.f64 x 4)))))
(+.f64 (/.f64 -1/3 (*.f64 x x)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/27 (pow.f64 x 4)))))
(-.f64 (/.f64 1 x) (-.f64 (-.f64 (/.f64 1/27 (pow.f64 x 4)) (/.f64 -1/3 (*.f64 x x))) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (-.f64 (/.f64 -1/27 (pow.f64 x 4)) (/.f64 (/.f64 1/3 x) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1/3 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 1/9 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 1/3 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 (/.f64 1/3 x) x)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 1/9 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/3 x) x) (/.f64 1/27 (pow.f64 x 4)))))
(+.f64 (/.f64 -1/3 (*.f64 x x)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/27 (pow.f64 x 4)))))
(-.f64 (/.f64 1 x) (-.f64 (-.f64 (/.f64 1/27 (pow.f64 x 4)) (/.f64 -1/3 (*.f64 x x))) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (-.f64 (/.f64 -1/27 (pow.f64 x 4)) (/.f64 (/.f64 1/3 x) x)))
1/3
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(+.f64 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(+.f64 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(+.f64 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(+.f64 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(+.f64 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(+.f64 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(+.f64 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(+.f64 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(+.f64 (*.f64 x x) -1/9)
(fma.f64 x x -1/9)

prune86.0ms (7.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1480148
Fresh011
Picked011
Done011
Total1483151
Error
0b
Counts
151 → 3
Alt Table
StatusErrorProgram
✓17.6b
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
▶23.6b
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3)))))
✓0.0b
(-.f64 x 1/3)
Compiler

Compiled 2027 to 1473 computations (27.3% saved)

localize10.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1/9 (*.f64 x 1/3))
✓0.1b
(/.f64 1 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3))))
✓0.3b
(*.f64 x 1/3)
✓22.6b
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3)))))

series6.0ms (0.5%)

Counts
4 → 48
Calls

12 calls:

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

rewrite77.0ms (6.4%)

Algorithm
1×batch-egg-rewrite
Rules
304×prod-diff_binary64
243×expm1-udef_binary64
243×log1p-udef_binary64
145×add-sqr-sqrt_binary64
137×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01445
131039
2370739
Stop Event
1×node limit
Counts
4 → 112
Calls
Call 1
Inputs
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3)))))
(*.f64 x 1/3)
(/.f64 1 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3))))
(+.f64 1/9 (*.f64 x 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9)))) (*.f64 -1/27 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/27 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9)))) (*.f64 (pow.f64 x 3) (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))) (pow.f64 x 3)) (*.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))) -1/27))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))) -1/27) (*.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)) (+.f64 (pow.f64 x 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 2)) (/.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/19683 (pow.f64 x 9)) (*.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)) (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)) (+.f64 (pow.f64 x 3) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (fma.f64 x x (fma.f64 x 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/19683 (pow.f64 x 9)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)) (fma.f64 x x (fma.f64 x 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 6) -1/729) 1) (*.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (fma.f64 x 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/19683 (pow.f64 x 9)) -1) (*.f64 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)) (neg.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 6) -1/729) -1) (*.f64 (+.f64 (pow.f64 x 3) 1/27) (neg.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 -1/19683 (pow.f64 x 9))) (*.f64 (neg.f64 (fma.f64 x x (fma.f64 x 1/3 1/9))) (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 x 6) -1/729)) (*.f64 (neg.f64 (fma.f64 x x (fma.f64 x 1/3 1/9))) (+.f64 (pow.f64 x 3) 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9)))) (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) 1) (fma.f64 x x (fma.f64 x 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 x 1/3 1/9))) 2)) (cbrt.f64 (fma.f64 x x (fma.f64 x 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/19683 (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9)))) (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 6) -1/729) (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9)))) (+.f64 (pow.f64 x 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (fma.f64 x x (fma.f64 x 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/27) -1) (neg.f64 (fma.f64 x x (fma.f64 x 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))) (+.f64 -1/19683 (pow.f64 x 9))) (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))) (+.f64 (pow.f64 x 6) -1/729)) (+.f64 (pow.f64 x 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3) (pow.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3) (pow.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))) 3) (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/27) 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 (pow.f64 (exp.f64 1/3) x))))) (#(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 (*.f64 (pow.f64 x 3) 1/27))))) (#(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 expm1.f64 (log1p.f64 (*.f64 x 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9)))) (cbrt.f64 (pow.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)) -1/2) (pow.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 x 1/3 1/9))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x (fma.f64 x 1/3 1/9))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9))) -1) (pow.f64 (hypot.f64 x (sqrt.f64 (fma.f64 x 1/3 1/9))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x (fma.f64 x 1/3 1/9))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x (fma.f64 x 1/3 1/9)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x (fma.f64 x 1/3 1/9)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/3 1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/81 (+.f64 1/9 (*.f64 -1/3 x))) (/.f64 (pow.f64 (*.f64 x 1/3) 2) (+.f64 1/9 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/3 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/3 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 2) (cbrt.f64 (fma.f64 x 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/3 1/9)) (sqrt.f64 (fma.f64 x 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/729 (*.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (+.f64 1/81 (-.f64 (pow.f64 (*.f64 x 1/3) 2) (*.f64 1/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/81 (pow.f64 (*.f64 x 1/3) 2)) (/.f64 1 (+.f64 1/9 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/81 (-.f64 (pow.f64 (*.f64 x 1/3) 2) (*.f64 1/27 x))) (+.f64 1/729 (*.f64 (pow.f64 x 3) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/9 (*.f64 -1/3 x)) (-.f64 1/81 (pow.f64 (*.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/729 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 1/81 (-.f64 (pow.f64 (*.f64 x 1/3) 2) (*.f64 1/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/729 (*.f64 (pow.f64 x 3) 1/27)) (+.f64 (pow.f64 (*.f64 x 1/3) 2) (-.f64 1/81 (*.f64 1/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/81 (pow.f64 (*.f64 x 1/3) 2)) (+.f64 1/9 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/729 (*.f64 (pow.f64 x 3) 1/27))) (neg.f64 (+.f64 1/81 (-.f64 (pow.f64 (*.f64 x 1/3) 2) (*.f64 1/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/81 (pow.f64 (*.f64 x 1/3) 2))) (neg.f64 (+.f64 1/9 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 1/3) 2) 1/81) (-.f64 (*.f64 x 1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/3 1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/3 1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/3 1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/3 1/9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/3 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/3 1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/3 1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/3 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (cbrt.f64 (*.f64 x 1/3)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/3 1/9)))))))

simplify33.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
492×unswap-sqr_binary64
376×distribute-neg-frac_binary64
300×associate-/r*_binary64
267×associate-*l*_binary64
257×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045370
1118348
2299344
3911342
43617342
Stop Event
1×node limit
Counts
160 → 135
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)
9
(-.f64 9 (*.f64 27 x))
(-.f64 (+.f64 9 (*.f64 243 (pow.f64 x 3))) (*.f64 27 x))
(-.f64 (+.f64 9 (*.f64 243 (pow.f64 x 3))) (+.f64 (*.f64 729 (pow.f64 x 4)) (*.f64 27 x)))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 6))) (*.f64 1/3 (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 6))) (*.f64 1/3 (/.f64 1 (pow.f64 x 3)))))
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 1/3 x))
(*.f64 1/3 x)
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 1/3 x))
(*.f64 1/3 x)
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 1/3 x))
Outputs
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(*.f64 1/3 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 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
(*.f64 1/3 x)
(*.f64 x 1/3)
9
(-.f64 9 (*.f64 27 x))
(+.f64 9 (*.f64 -27 x))
(+.f64 9 (*.f64 x -27))
(fma.f64 x -27 9)
(-.f64 (+.f64 9 (*.f64 243 (pow.f64 x 3))) (*.f64 27 x))
(+.f64 9 (-.f64 (*.f64 243 (pow.f64 x 3)) (*.f64 x 27)))
(+.f64 (fma.f64 243 (pow.f64 x 3) 9) (*.f64 x -27))
(fma.f64 243 (pow.f64 x 3) (fma.f64 x -27 9))
(fma.f64 x -27 (fma.f64 243 (pow.f64 x 3) 9))
(-.f64 (+.f64 9 (*.f64 243 (pow.f64 x 3))) (+.f64 (*.f64 729 (pow.f64 x 4)) (*.f64 27 x)))
(+.f64 9 (-.f64 (*.f64 243 (pow.f64 x 3)) (fma.f64 729 (pow.f64 x 4) (*.f64 x 27))))
(-.f64 (fma.f64 243 (pow.f64 x 3) 9) (fma.f64 729 (pow.f64 x 4) (*.f64 x 27)))
(-.f64 (fma.f64 243 (pow.f64 x 3) (fma.f64 x -27 9)) (*.f64 729 (pow.f64 x 4)))
(fma.f64 x -27 (fma.f64 (pow.f64 x 4) -729 (fma.f64 243 (pow.f64 x 3) 9)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1/3 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/27 (pow.f64 x 5)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1/27 (pow.f64 x 5)) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/27 (pow.f64 x 5)) (/.f64 -1/3 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 6))) (*.f64 1/3 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1/27 (pow.f64 x 5)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/81 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1/27 (pow.f64 x 5)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/81 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1/81 (pow.f64 x 6)) (+.f64 (/.f64 1/27 (pow.f64 x 5)) (/.f64 -1/3 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1/3 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/27 (pow.f64 x 5)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1/27 (pow.f64 x 5)) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/27 (pow.f64 x 5)) (/.f64 -1/3 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 6))) (*.f64 1/3 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1/27 (pow.f64 x 5)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/81 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1/27 (pow.f64 x 5)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/81 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1/81 (pow.f64 x 6)) (+.f64 (/.f64 1/27 (pow.f64 x 5)) (/.f64 -1/3 (pow.f64 x 3)))))
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 (*.f64 x 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 (*.f64 x 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 (*.f64 x 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 (*.f64 x 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 (*.f64 x 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 (*.f64 x 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 (*.f64 x 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 (*.f64 x 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 (*.f64 x 1/3) 1/9)
(fma.f64 x 1/3 1/9)

prune100.0ms (8.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh000
Picked011
Done022
Total1353138
Error
0b
Counts
138 → 3
Alt Table
StatusErrorProgram
✓17.6b
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
✓23.6b
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3)))))
✓0.0b
(-.f64 x 1/3)
Compiler

Compiled 2640 to 2041 computations (22.7% saved)

regimes38.0ms (3.1%)

Accuracy

Total 0.0b remaining (71.9%)

Threshold costs 0.0b (71.9%)

Counts
23 → 1
Compiler

Compiled 240 to 184 computations (23.3% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044
174
284
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x 1/3)
Outputs
(-.f64 x 1/3)
(+.f64 x -1/3)

end47.0ms (3.9%)

Stop Event
1×done
Compiler

Compiled 40 to 30 computations (25% saved)

Profiling

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