Details

Time bar (total: 4.0s)

analyze39.0ms (1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.5%62.4%0.1%0%0%0%5
56.3%56.2%43.7%0.1%0%0%0%6
65.6%65.6%34.3%0.1%0%0%0%7
76.6%76.5%23.4%0.1%0%0%0%8
82%82%18%0.1%0%0%0%9
87.9%87.8%12.1%0.1%0%0%0%10
90.8%90.7%9.2%0.1%0%0%0%11
93.8%93.8%6.1%0.1%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample783.0ms (19.6%)

Results
770.0ms8256×body256valid
Bogosity

preprocess21.0ms (0.5%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
11618
22018
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(cbrt.f64 (/.f64 a (*.f64 2 g)))
Outputs
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(cbrt.f64 (/.f64 (/.f64 g 2) a))
(cbrt.f64 (/.f64 a (*.f64 2 g)))
(cbrt.f64 (/.f64 a (*.f64 g 2)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Rules
associate-/r*_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2129
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Outputs
(cbrt.f64 (/.f64 g (*.f64 2 a)))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
17.2b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
17.2b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
16.8b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series5.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
g
@0
(cbrt.f64 (/.f64 g (*.f64 2 a)))
1.0ms
a
@inf
(cbrt.f64 (/.f64 g (*.f64 2 a)))
1.0ms
g
@-inf
(cbrt.f64 (/.f64 g (*.f64 2 a)))
1.0ms
g
@inf
(cbrt.f64 (/.f64 g (*.f64 2 a)))
1.0ms
a
@-inf
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite54.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
745×pow1_binary64
695×add-log-exp_binary64
695×log1p-expm1-u_binary64
695×expm1-log1p-u_binary64
680×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11469
218579
Stop Event
node limit
Counts
1 → 27
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (pow.f64 (/.f64 1/2 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))))

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
27 → 27
Calls
Call 1
Inputs
Outputs

eval7.0ms (0.2%)

Compiler

Compiled 268 to 177 computations (34% saved)

prune11.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New19827
Fresh000
Picked011
Done000
Total19928
Error
0.2b
Counts
28 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
41.3b
(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
17.9b
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
0.8b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.8b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
17.2b
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
17.9b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
17.2b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 182 to 142 computations (22% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.5b
(cbrt.f64 g)
0.6b
(cbrt.f64 (*.f64 2 a))
Compiler

Compiled 21 to 13 computations (38.1% saved)

series9.0ms (0.2%)

Counts
3 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
g
@0
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
1.0ms
a
@0
(cbrt.f64 (*.f64 2 a))
1.0ms
a
@-inf
(cbrt.f64 (*.f64 2 a))
1.0ms
g
@-inf
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
1.0ms
a
@0
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

rewrite70.0ms (1.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
116318
2201518
Stop Event
node limit
Counts
3 → 71
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 2 a))
(cbrt.f64 g)
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 a) 1/6) (pow.f64 (*.f64 2 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 2 a)) 1/3) (pow.f64 (sqrt.f64 (*.f64 2 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 a) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 2 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 g)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 g 1/6) (pow.f64 g 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 g) 2) 1/3) (cbrt.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 g) 1/3) (pow.f64 (sqrt.f64 g) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 g 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 g) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 g)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 g 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 g) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 g)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (*.f64 (cbrt.f64 (cbrt.f64 g)) (/.f64 1 (cbrt.f64 (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 g 1/6) (*.f64 (pow.f64 g 1/6) (/.f64 1 (cbrt.f64 (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 g)) (/.f64 1 (neg.f64 (cbrt.f64 (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 g 1/6) 1) (/.f64 (pow.f64 g 1/6) (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 g 1/6) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))) (/.f64 (pow.f64 g 1/6) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 g 1/6) (cbrt.f64 2)) (/.f64 (pow.f64 g 1/6) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 2 a) 1/6)) (/.f64 (cbrt.f64 g) (pow.f64 (*.f64 2 a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (pow.f64 (*.f64 2 a) 1/6)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 (*.f64 2 a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 2 a) g)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cbrt.f64 g) (neg.f64 (cbrt.f64 (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/2 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))))

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
71 → 71
Calls
Call 1
Inputs
Outputs

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
17.4b
(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
Compiler

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0.1%)

Counts
1 → 0
Calls

6 calls:

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

rewrite55.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
821×pow1_binary64
770×add-log-exp_binary64
770×log1p-expm1-u_binary64
770×expm1-log1p-u_binary64
752×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
11789
221169
Stop Event
node limit
Counts
1 → 18
Calls
Call 1
Inputs
(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/2 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))))

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
18 → 18
Calls
Call 1
Inputs
Outputs

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.5b
(cbrt.f64 g)
0.6b
(cbrt.f64 (/.f64 1/2 a))
Compiler

Compiled 21 to 13 computations (38.1% saved)

series4.0ms (0.1%)

Counts
2 → 0
Calls

9 calls:

TimeVariablePointExpression
1.0ms
g
@-inf
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.0ms
g
@0
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.0ms
a
@0
(cbrt.f64 (/.f64 1/2 a))
0.0ms
a
@inf
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.0ms
g
@inf
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

rewrite60.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
739×pow1_binary64
687×add-log-exp_binary64
687×log1p-expm1-u_binary64
687×expm1-log1p-u_binary64
669×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
116415
2191115
Stop Event
node limit
Counts
2 → 39
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 1/2 a))
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 1/2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (pow.f64 (/.f64 1 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/2 a) 1/6) (pow.f64 (/.f64 1/2 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1/2 a)) 1/3) (pow.f64 (sqrt.f64 (/.f64 1/2 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 1/2) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -1/2) (cbrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 1/2)) (neg.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 a) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 1/2 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/2 a) g) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 1/2 a) g))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))))))))

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
39 → 39
Calls
Call 1
Inputs
Outputs

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
0.3b
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
0.5b
(cbrt.f64 g)
0.6b
(cbrt.f64 (*.f64 2 a))
Compiler

Compiled 31 to 20 computations (35.5% saved)

series7.0ms (0.2%)

Counts
2 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
g
@0
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
1.0ms
g
@-inf
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
1.0ms
g
@inf
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
1.0ms
a
@0
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
1.0ms
a
@inf
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))

rewrite66.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
959×pow1_binary64
893×add-log-exp_binary64
893×log1p-expm1-u_binary64
893×expm1-log1p-u_binary64
96×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
120418
2250618
Stop Event
node limit
Counts
2 → 75
Calls
Call 1
Inputs
(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 a)) (/.f64 1 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 a)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (/.f64 1 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 a) (/.f64 1 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 a) 1/6) (*.f64 (pow.f64 (*.f64 2 a) 1/6) (/.f64 1 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 2 a))) (/.f64 1 (neg.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 a)) 2)) 1) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 a) (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 2 a) 1/6) 1) (/.f64 (pow.f64 (*.f64 2 a) 1/6) (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 a)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) (/.f64 (cbrt.f64 a) (cbrt.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 2 a) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) (/.f64 (pow.f64 (*.f64 2 a) 1/6) (cbrt.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 g 1/6)) (/.f64 (cbrt.f64 (*.f64 2 a)) (pow.f64 g 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 a)) 2)) (pow.f64 g 1/6)) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) (pow.f64 g 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (pow.f64 g 1/6)) (/.f64 (cbrt.f64 a) (pow.f64 g 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 a g)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (neg.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 2 (/.f64 a g)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 g (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (pow.f64 (/.f64 1 (cbrt.f64 g)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 2)) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) -1) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 g 1/6) 1) (/.f64 (pow.f64 g 1/6) (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 a)) 2))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 a)) 2))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 g 1/6) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 a)) 2))) (/.f64 (pow.f64 g 1/6) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 g 1/6) (cbrt.f64 2)) (/.f64 (pow.f64 g 1/6) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 2 a) 1/6)) (/.f64 (cbrt.f64 g) (pow.f64 (*.f64 2 a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (pow.f64 (*.f64 2 a) 1/6)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 (*.f64 2 a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 g 1/6) (pow.f64 (*.f64 2 a) 1/6)) (/.f64 (pow.f64 g 1/6) (pow.f64 (*.f64 2 a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (cbrt.f64 (*.f64 2 a)))) (neg.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) 1) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) (cbrt.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 2 a))) (pow.f64 g 1/6)) (pow.f64 g 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 g (*.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))))))

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
75 → 75
Calls
Call 1
Inputs
Outputs

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
0.5b
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2)
0.6b
(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
16.8b
(cbrt.f64 (*.f64 1/2 (/.f64 g a)))
Compiler

Compiled 53 to 31 computations (41.5% saved)

series100.0ms (2.5%)

Counts
4 → 48
Calls

24 calls:

TimeVariablePointExpression
30.0ms
g
@0
(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
29.0ms
a
@0
(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
11.0ms
a
@inf
(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
9.0ms
g
@inf
(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
8.0ms
g
@-inf
(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))

rewrite92.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
928×pow1_binary64
866×add-log-exp_binary64
865×log1p-expm1-u_binary64
865×expm1-log1p-u_binary64
845×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
123143
2244043
Stop Event
node limit
Counts
4 → 78
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 1/2 (/.f64 g a)))
(cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1/6) (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1/6)) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1/6) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/2) 1/3) (pow.f64 (cbrt.f64 (/.f64 g a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 1/3) (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 g a)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1/6) (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/2 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))))

simplify86.0ms (2.2%)

Algorithm
egg-herbie
Rules
647×fma-def_binary64
632×unswap-sqr_binary64
303×*-commutative_binary64
279×fma-neg_binary64
263×distribute-rgt-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0651264
11711184
24151096
314121080
444661000
Stop Event
node limit
Counts
126 → 81
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) 1) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) 2) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))
(*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) 2) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))
(*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) 2) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))
(*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) 2) (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) 1) 1/3))
(*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) 1) 1/3))
(*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) 1) 1/3))
(*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) 1) 1/3))
Outputs
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))))
(*.f64 (cbrt.f64 (cbrt.f64 -1/2)) (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (*.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (*.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 4))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (neg.f64 (log.f64 a)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2)) (exp.f64 (*.f64 (-.f64 (log.f64 g) (log.f64 a)) 2/9)))
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g))) 2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)) -2/9)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (/.f64 (neg.f64 g) a) 1/18) 4))

eval139.0ms (3.5%)

Compiler

Compiled 6365 to 4403 computations (30.8% saved)

prune91.0ms (2.3%)

Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New37918397
Fresh123
Picked101
Done055
Total38125406
Error
0.0b
Counts
406 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
41.3b
(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
17.9b
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 3)
1.5b
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
0.9b
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
0.8b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
1.1b
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
46.8b
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
41.2b
(/.f64 1 (pow.f64 (*.f64 2 (/.f64 a g)) 1/3))
1.1b
(/.f64 1 (/.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 2)) (cbrt.f64 g)))
0.8b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
0.8b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a))))
17.2b
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
17.5b
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 2)) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) -1))
1.6b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
1.5b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (*.f64 (cbrt.f64 (cbrt.f64 g)) (/.f64 1 (cbrt.f64 (*.f64 2 a)))))
17.6b
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
17.3b
(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
1.5b
(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
0.9b
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
0.9b
(*.f64 (cbrt.f64 g) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2))))
0.8b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
17.2b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
17.2b
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
Compiler

Compiled 536 to 426 computations (20.5% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (cbrt.f64 g))
0.3b
(*.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a)))
0.5b
(cbrt.f64 g)
0.6b
(cbrt.f64 (*.f64 2 a))
Compiler

Compiled 39 to 26 computations (33.3% saved)

series14.0ms (0.3%)

Counts
2 → 0
Calls

9 calls:

TimeVariablePointExpression
9.0ms
g
@-inf
(/.f64 1 (cbrt.f64 g))
1.0ms
g
@0
(*.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a)))
1.0ms
g
@-inf
(*.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a)))
1.0ms
g
@inf
(*.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a)))
0.0ms
g
@inf
(/.f64 1 (cbrt.f64 g))

rewrite61.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
836×pow1_binary64
774×add-log-exp_binary64
774×log1p-expm1-u_binary64
774×expm1-log1p-u_binary64
755×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
119515
2219615
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a)))
(/.f64 1 (cbrt.f64 g))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 2) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 a) 1/6) (/.f64 (cbrt.f64 g) (pow.f64 (*.f64 2 a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (*.f64 2 a))) (neg.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (pow.f64 g 1/6)) (pow.f64 g 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) 1) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (*.f64 2 a)) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) (cbrt.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (cbrt.f64 (*.f64 2 a))) (neg.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 2 a)) -1) (neg.f64 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 2 a) g)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 a) g)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 2 a) g))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 2 a) g))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 a) g)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 2 a) g))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 a) g)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 2 a) g))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 g)) 3) (*.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 a) (pow.f64 (/.f64 1 (cbrt.f64 g)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 2 a) g))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 2 a) g))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 2 a) g))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cbrt.f64 g))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 g)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (pow.f64 (cbrt.f64 g) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 g) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 g) -1/2) (pow.f64 (cbrt.f64 g) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 g)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 g 1/6) -1) (pow.f64 (pow.f64 g 1/6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 g -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 g) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 g)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 g)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 g))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 g) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 g) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 g)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cbrt.f64 g))))))))

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
46 → 46
Calls
Call 1
Inputs
Outputs

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 1/2 a) g)
16.8b
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
Compiler

Compiled 19 to 12 computations (36.8% saved)

series6.0ms (0.2%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
g
@-inf
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
1.0ms
a
@0
(*.f64 (/.f64 1/2 a) g)
1.0ms
g
@0
(*.f64 (/.f64 1/2 a) g)
0.0ms
g
@inf
(*.f64 (/.f64 1/2 a) g)
0.0ms
g
@-inf
(*.f64 (/.f64 1/2 a) g)

rewrite59.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
690×pow1_binary64
643×add-log-exp_binary64
643×log1p-expm1-u_binary64
643×expm1-log1p-u_binary64
629×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
114716
2176316
Stop Event
node limit
Counts
2 → 44
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(*.f64 (/.f64 1/2 a) g)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 a g))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 g (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 1/2 g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 g) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 g)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 g) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 g) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 g) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 g) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 g -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 g a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 g) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 a) 3) (pow.f64 g 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 g 3) (pow.f64 (/.f64 1/2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 g a))))))))

simplify13.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-*r/_binary64
associate-*l/_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
saturated
Counts
68 → 45
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
Outputs
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
0.5b
(cbrt.f64 a)
0.6b
(cbrt.f64 (*.f64 g 1/2))
Compiler

Compiled 21 to 13 computations (38.1% saved)

series6.0ms (0.2%)

Counts
3 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
g
@-inf
(cbrt.f64 (*.f64 g 1/2))
1.0ms
a
@-inf
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
1.0ms
a
@-inf
(cbrt.f64 a)
0.0ms
g
@0
(cbrt.f64 (*.f64 g 1/2))
0.0ms
a
@inf
(cbrt.f64 a)

rewrite62.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
812×pow1_binary64
758×add-log-exp_binary64
758×log1p-expm1-u_binary64
758×expm1-log1p-u_binary64
739×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
116318
2202018
Stop Event
node limit
Counts
3 → 72
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 g 1/2))
(cbrt.f64 a)
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 g 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 g 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 g 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 g 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 g 1/2) 2))) (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 g 1/2) 1/6) (pow.f64 (*.f64 g 1/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 g 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 g 1/2) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 g 1/2)) 1/3) (pow.f64 (sqrt.f64 (*.f64 g 1/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 g 1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 g 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 g 1/2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 g 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 g 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 g 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 g 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 g 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/6) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/3) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 a) 1/3) (pow.f64 (sqrt.f64 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 a)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 g 1/2)) (/.f64 1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 g 1/2) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) (/.f64 1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 g 1/2) 1/6) (*.f64 (pow.f64 (*.f64 g 1/2) 1/6) (/.f64 1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 g 1/2))) (/.f64 1 (neg.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (*.f64 g 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 g 1/2) 2))) 1) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 g) 1) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 g 1/2) 1/6) 1) (/.f64 (pow.f64 (*.f64 g 1/2) 1/6) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 g 1/2) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 g 1/2) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (pow.f64 (*.f64 g 1/2) 1/6) (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 a 1/6)) (/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 g 1/2) 2))) (pow.f64 a 1/6)) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) (pow.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 g) (pow.f64 a 1/6)) (/.f64 (cbrt.f64 1/2) (pow.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (*.f64 g 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cbrt.f64 (*.f64 g 1/2)) (neg.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/2 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))))

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
72 → 72
Calls
Call 1
Inputs
Outputs

localize18.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))))
0.7b
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 3)
16.8b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 36 to 25 computations (30.6% saved)

series8.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
g
@0
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 3)
1.0ms
g
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 3)
1.0ms
g
@-inf
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 3)
1.0ms
a
@-inf
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 3)
1.0ms
a
@0
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 3)

rewrite71.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
888×pow1_binary64
834×add-log-exp_binary64
833×log1p-expm1-u_binary64
833×expm1-log1p-u_binary64
814×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
121220
2231720
Stop Event
node limit
Counts
2 → 51
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 3)
(cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (pow.f64 (/.f64 1/2 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1/6) (*.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 1/6) (pow.f64 (*.f64 g (/.f64 1/2 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 g (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 g (/.f64 1/2 a))) 1/3) (pow.f64 (sqrt.f64 (*.f64 g (/.f64 1/2 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2)) 3) (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2) 1) (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2) (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1/6)) (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 g (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1/6) (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 1/6) 1/3) (pow.f64 (pow.f64 (*.f64 g (/.f64 1/2 a)) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 g (/.f64 1/2 a)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))))))))))

simplify73.0ms (1.8%)

Algorithm
egg-herbie
Rules
342×fma-neg_binary64
304×associate-/l*_binary64
277×distribute-rgt-in_binary64
256×distribute-lft-out_binary64
255×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0651168
11851064
24551032
31392976
43676880
Stop Event
node limit
Counts
99 → 65
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 3)) (pow.f64 1 1/3))
(*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 3)) (pow.f64 1 1/3))
(*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 3)) (pow.f64 1 1/3))
(*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))) 3)) (pow.f64 1 1/3))
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) 3) (cbrt.f64 1/2)) (pow.f64 1 1/3))
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) 3) (cbrt.f64 1/2)) (pow.f64 1 1/3))
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) 3) (cbrt.f64 1/2)) (pow.f64 1 1/3))
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) 3) (cbrt.f64 1/2)) (pow.f64 1 1/3))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 3) (cbrt.f64 -1/2)) (pow.f64 1 1/3))
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 3) (cbrt.f64 -1/2)) (pow.f64 1 1/3))
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 3) (cbrt.f64 -1/2)) (pow.f64 1 1/3))
(*.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) 3) (cbrt.f64 -1/2)) (pow.f64 1 1/3))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
Outputs
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(*.f64 (cbrt.f64 1/2) (exp.f64 (*.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(*.f64 (cbrt.f64 1/2) (exp.f64 (*.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))) 3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) 3))
(*.f64 (cbrt.f64 1/2) (exp.f64 (*.f64 (-.f64 (log.f64 g) (log.f64 a)) 1/3)))
(*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 g a) 1/18) 6))
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(*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) 3))
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(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 g))) (log.f64 (/.f64 1 a))))))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (*.f64 -1 (log.f64 a))))) (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 1 (cbrt.f64 1/2)) 1/3) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 1 a))))))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (neg.f64 (log.f64 a))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 g) (log.f64 a))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a))))) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 g)) (neg.f64 (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 a)) (log.f64 (/.f64 -1 g)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a)))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 a))) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 g) (log.f64 (/.f64 -1 a)))) (cbrt.f64 (cbrt.f64 -1/2)))

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))
0.3b
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))
0.5b
(cbrt.f64 g)
28.7b
(cbrt.f64 (*.f64 4 (*.f64 a a)))
Compiler

Compiled 38 to 19 computations (50% saved)

series123.0ms (3.1%)

Counts
3 → 0
Calls

12 calls:

TimeVariablePointExpression
73.0ms
g
@0
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))
23.0ms
a
@0
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))
19.0ms
a
@0
(sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))
2.0ms
g
@-inf
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))
1.0ms
a
@inf
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))

rewrite81.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
911×pow1_binary64
849×add-log-exp_binary64
849×log1p-expm1-u_binary64
849×expm1-log1p-u_binary64
825×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
120324
2240624
Stop Event
node limit
Counts
3 → 80
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 4 (*.f64 a a)))
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))
(sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 4 (*.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4)))) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 2))) (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 a 2)) (sqrt.f64 (cbrt.f64 (*.f64 a 2)))) (sqrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 a)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 4 a) 1/3) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))) (cbrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 a a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 g (*.f64 a 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 g (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (*.f64 (cbrt.f64 (cbrt.f64 g)) (/.f64 1 (cbrt.f64 (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 g 1/6) (*.f64 (pow.f64 g 1/6) (/.f64 1 (cbrt.f64 (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 g)) (/.f64 1 (neg.f64 (cbrt.f64 (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 a 2))) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 g 1/6) 1) (/.f64 (pow.f64 g 1/6) (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 g 1/6) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))) (/.f64 (pow.f64 g 1/6) (cbrt.f64 (cbrt.f64 (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cbrt.f64 (*.f64 a 2)))) (/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (sqrt.f64 (cbrt.f64 (*.f64 a 2)))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (sqrt.f64 (cbrt.f64 (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a 2) g)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cbrt.f64 g) (neg.f64 (cbrt.f64 (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 g (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 2))) (sqrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 4)) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 4) 1/2) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 a 4)))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 a a)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 a 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 a 2))))))))

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
80 → 80
Calls
Call 1
Inputs
Outputs

eval124.0ms (3.1%)

Compiler

Compiled 4931 to 3509 computations (28.8% saved)

prune96.0ms (2.4%)

Pruning

30 alts after pruning (20 fresh and 10 done)

PrunedKeptTotal
New3829391
Fresh41115
Picked011
Done099
Total38630416
Error
0.0b
Counts
416 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
1.8b
(pow.f64 (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))) 3)
41.3b
(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
1.5b
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))) 3)
17.8b
(pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))) 3)
17.9b
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 3)
1.5b
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
0.9b
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
1.6b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
0.8b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
1.1b
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
46.8b
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
41.2b
(/.f64 1 (pow.f64 (*.f64 2 (/.f64 a g)) 1/3))
1.1b
(/.f64 1 (/.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 2)) (cbrt.f64 g)))
0.8b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
0.8b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a))))
17.2b
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
17.5b
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 2)) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) -1))
1.6b
(*.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 a))))
0.9b
(*.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (*.f64 g 1/2)))
17.6b
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
17.3b
(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
1.5b
(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
0.9b
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
0.9b
(*.f64 (cbrt.f64 g) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2))))
0.8b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
17.2b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
17.6b
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
17.2b
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
Compiler

Compiled 595 to 478 computations (19.7% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
0.5b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a)))
0.5b
(cbrt.f64 g)
0.6b
(cbrt.f64 (/.f64 1 a))
Compiler

Compiled 34 to 25 computations (26.5% saved)

series5.0ms (0.1%)

Counts
3 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a)))
1.0ms
a
@-inf
(cbrt.f64 (/.f64 1 a))
0.0ms
a
@inf
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a)))
0.0ms
a
@-inf
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
0.0ms
a
@0
(cbrt.f64 (/.f64 1 a))

rewrite71.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
904×pow1_binary64
835×add-log-exp_binary64
835×log1p-expm1-u_binary64
835×expm1-log1p-u_binary64
812×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01129
121521
2239021
Stop Event
node limit
Counts
3 → 51
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 1 a))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a)))
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 1 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a -1/2)) (cbrt.f64 (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 a -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 a -1/2) 1/3) (pow.f64 (pow.f64 a -1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (cbrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 a -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cbrt.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 1/2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 1/2) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 1/2 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 g 1/2)) 1) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 1/2 a) g))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 g (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))))))))

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
51 → 51
Calls
Call 1
Inputs
Outputs

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.5b
(/.f64 1/2 (/.f64 a g))
16.8b
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
Compiler

Compiled 19 to 9 computations (52.6% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
0.0ms
a
@0
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
0.0ms
a
@inf
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
0.0ms
a
@-inf
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
0.0ms
g
@inf
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
0.0ms
g
@-inf
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))

rewrite69.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
777×pow1_binary64
727×add-log-exp_binary64
727×log1p-expm1-u_binary64
727×expm1-log1p-u_binary64
711×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
115316
2198316
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
(/.f64 1/2 (/.f64 a g))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (pow.f64 (/.f64 g a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 (/.f64 a g))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/2 a) 1/3) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 (/.f64 a g) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (/.f64 a g)) (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 (neg.f64 a) g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 1/2)) (neg.f64 (cbrt.f64 (/.f64 a g))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 g a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 g (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 g a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) (sqrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 a) g)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 g a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) g)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 a)) (neg.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) 1) (cbrt.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2) (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6)) (pow.f64 (*.f64 1/2 (/.f64 g a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 a) 1) g)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 a) (pow.f64 (cbrt.f64 g) 2)) (cbrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 a) (sqrt.f64 g)) (sqrt.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 g a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 g a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a g) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 a g) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 g a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 g a))))))))

simplify13.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-*r/_binary64
associate-*l/_binary64
associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
saturated
Counts
81 → 57
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
Outputs
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))
(*.f64 1/2 (/.f64 g a))

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (cbrt.f64 a))
0.3b
(*.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (*.f64 g 1/2)))
0.5b
(cbrt.f64 a)
0.6b
(cbrt.f64 (*.f64 g 1/2))
Compiler

Compiled 28 to 18 computations (35.7% saved)

series4.0ms (0.1%)

Counts
2 → 0
Calls

9 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(/.f64 1 (cbrt.f64 a))
0.0ms
a
@0
(*.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (*.f64 g 1/2)))
0.0ms
a
@-inf
(*.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (*.f64 g 1/2)))
0.0ms
g
@inf
(*.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (*.f64 g 1/2)))
0.0ms
a
@inf
(*.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (*.f64 g 1/2)))

rewrite61.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
846×pow1_binary64
784×add-log-exp_binary64
784×log1p-expm1-u_binary64
784×expm1-log1p-u_binary64
765×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
119515
2219615
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (*.f64 g 1/2)))
(/.f64 1 (cbrt.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 2) (/.f64 (cbrt.f64 a) (cbrt.f64 (cbrt.f64 (*.f64 g 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 g 1/2) 1/6) (/.f64 (cbrt.f64 a) (pow.f64 (*.f64 g 1/2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (*.f64 g 1/2))) (neg.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 a 1/6)) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (*.f64 g 1/2)) 1) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (cbrt.f64 (*.f64 g 1/2))) (neg.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 g 1/2)) -1) (neg.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 g 1/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 a)) 3) (*.f64 g 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 g 1/2) (pow.f64 (/.f64 1 (cbrt.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 g 1/2) a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cbrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (pow.f64 (cbrt.f64 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) -2)) (/.f64 1 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) -1/2) (pow.f64 (cbrt.f64 a) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) -1) (pow.f64 (cbrt.f64 (cbrt.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 a 1/6) -1) (pow.f64 (pow.f64 a 1/6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 a) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cbrt.f64 a))))))))

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
46 → 46
Calls
Call 1
Inputs
Outputs

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (cbrt.f64 g) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2))))
0.5b
(/.f64 (cbrt.f64 a) (cbrt.f64 1/2))
0.5b
(cbrt.f64 a)
0.5b
(cbrt.f64 g)
Compiler

Compiled 34 to 22 computations (35.3% saved)

series5.0ms (0.1%)

Counts
2 → 0
Calls

9 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/.f64 (cbrt.f64 a) (cbrt.f64 1/2))
1.0ms
a
@-inf
(/.f64 (cbrt.f64 a) (cbrt.f64 1/2))
1.0ms
a
@inf
(/.f64 (cbrt.f64 a) (cbrt.f64 1/2))
0.0ms
g
@inf
(*.f64 (cbrt.f64 g) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2))))
0.0ms
g
@-inf
(*.f64 (cbrt.f64 g) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2))))

rewrite71.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
503×log-prod_binary64
389×exp-prod_binary64
299×pow-prod-down_binary64
251×pow2_binary64
212×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01117
122315
2268315
Stop Event
node limit
Counts
2 → 103
Calls
Call 1
Inputs
(/.f64 (cbrt.f64 a) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 g) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 a 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 a 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 a 2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 a 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 a 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (/.f64 1 (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (*.f64 (cbrt.f64 (cbrt.f64 a)) (/.f64 1 (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 2) 1/6) (pow.f64 (*.f64 a 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/6) (*.f64 (pow.f64 a 1/6) (/.f64 1 (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 a)) (/.f64 1 (neg.f64 (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 1/2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a 1/6) 1) (/.f64 (pow.f64 a 1/6) (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 1/4))) (/.f64 (cbrt.f64 a) (cbrt.f64 (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 1/4))) (cbrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 a 1/6) (cbrt.f64 (cbrt.f64 1/4))) (/.f64 (pow.f64 a 1/6) (cbrt.f64 (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 -1/6) (/.f64 (cbrt.f64 a) (pow.f64 1/2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 1/2 1/6)) (/.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 1/2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a 2) -1) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a 2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a 2) -1/6) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (/.f64 1/2 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 a 2)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 a 2))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cbrt.f64 a) (neg.f64 (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/2 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a 2) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a 2))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/2 a))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 a) 1/3) (log.f64 (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (cbrt.f64 a)) 1) (log.f64 (cbrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (cbrt.f64 a)) (*.f64 (log.f64 1/2) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 a) 1/3) (*.f64 (log.f64 1/2) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (cbrt.f64 a)) 1) (*.f64 (log.f64 1/2) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (cbrt.f64 a)) (*.f64 (log.f64 (cbrt.f64 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 a) 1/3) (*.f64 (log.f64 (cbrt.f64 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (cbrt.f64 a)) 1) (*.f64 (log.f64 (cbrt.f64 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/2 a))) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 g (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (/.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 (cbrt.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 g 1/6) (/.f64 (cbrt.f64 (*.f64 a 2)) (pow.f64 g 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 g) (pow.f64 (*.f64 a 2) 1/6)) (pow.f64 (*.f64 a 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (/.f64 1 (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 g) 1) (cbrt.f64 (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a 2))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 g) -1) (neg.f64 (cbrt.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 g (pow.f64 (*.f64 a 2) -1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 g (*.f64 a 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (*.f64 a 2)) (cbrt.f64 g)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 g (pow.f64 (*.f64 a 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 g (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 g (pow.f64 (*.f64 a 2) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 g) 1/3) (log.f64 (cbrt.f64 (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (cbrt.f64 g)) 1) (log.f64 (cbrt.f64 (*.f64 a 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (cbrt.f64 g)) (*.f64 (log.f64 (cbrt.f64 (*.f64 a 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 g) 1/3) (*.f64 (log.f64 (cbrt.f64 (*.f64 a 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (cbrt.f64 g)) 1) (*.f64 (log.f64 (cbrt.f64 (*.f64 a 2))) 1)))))))

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
103 → 103
Calls
Call 1
Inputs
Outputs

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(cbrt.f64 a)
0.6b
(cbrt.f64 (*.f64 g 1/2))
0.7b
(cbrt.f64 (cbrt.f64 a))
0.8b
(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
Compiler

Compiled 33 to 19 computations (42.4% saved)

series24.0ms (0.6%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
10.0ms
a
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
9.0ms
a
@0
(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
4.0ms
a
@-inf
(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
0.0ms
a
@-inf
(cbrt.f64 (cbrt.f64 a))
0.0ms
a
@0
(cbrt.f64 (cbrt.f64 a))

rewrite57.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
408×pow1_binary64
400×add-sqr-sqrt_binary64
387×add-log-exp_binary64
387×log1p-expm1-u_binary64
387×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11248
211218
Stop Event
node limit
Counts
2 → 73
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)
(cbrt.f64 (cbrt.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 a))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/6) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 1/6) (*.f64 (pow.f64 (cbrt.f64 a) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 1/6) 3/2) (pow.f64 (pow.f64 a 1/6) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 (cbrt.f64 a) 1/6)) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 1/3) 3) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (cbrt.f64 a))) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 a 1/6)) 1/3) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 a 1/6) 3/2) (pow.f64 (pow.f64 (cbrt.f64 a) 1/6) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2) 2) 3/2) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2)) 3/2) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 3/2) 2) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 a)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 a)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 a))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 1 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 1/6) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) 1/6)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 a) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2)) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/9) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 1/9) (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/9) (pow.f64 (cbrt.f64 a) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 a) 1/9) (pow.f64 (sqrt.f64 a) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (cbrt.f64 a))) 1/9) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) 1/9) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 a 1/6)) 1/9) (pow.f64 (pow.f64 a 1/6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 1 1/3) 1/3) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 (cbrt.f64 a) 1/6)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 a) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a)))) 2) 3) (cbrt.f64 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2)) 2) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2)) 3/2) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 a) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/9 (log.f64 a)))))))

simplify182.0ms (4.6%)

Algorithm
egg-herbie
Rules
1227×sqr-pow_binary64
1010×unswap-sqr_binary64
612×cube-prod_binary64
456×unpow3_binary64
445×cube-mult_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
021252
156228
2102228
3213228
4682184
51259184
62792184
72942184
83164184
93433184
103759184
114221184
124825184
135579184
146084184
156490184
166818184
177170184
187340184
Stop Event
node limit
Counts
97 → 80
Calls
Call 1
Inputs
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 a 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 a 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 a 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 a 1/3))
(pow.f64 a 1/3)
(pow.f64 a 1/3)
(pow.f64 a 1/3)
(pow.f64 a 1/3)
(*.f64 (pow.f64 (*.f64 -1 a) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(pow.f64 a 1/9)
(pow.f64 a 1/9)
(pow.f64 a 1/9)
(pow.f64 a 1/9)
(pow.f64 a 1/9)
(pow.f64 a 1/9)
(pow.f64 a 1/9)
(pow.f64 a 1/9)
(*.f64 (pow.f64 (*.f64 -1 a) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 a) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 a) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (pow.f64 (*.f64 -1 a) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
Outputs
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 a 1/3))
(*.f64 1 (cbrt.f64 a))
(cbrt.f64 a)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 a 1/3))
(*.f64 1 (cbrt.f64 a))
(cbrt.f64 a)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 a 1/3))
(*.f64 1 (cbrt.f64 a))
(cbrt.f64 a)
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 a 1/3))
(*.f64 1 (cbrt.f64 a))
(cbrt.f64 a)
(pow.f64 a 1/3)
(*.f64 1 (cbrt.f64 a))
(cbrt.f64 a)
(pow.f64 a 1/3)
(*.f64 1 (cbrt.f64 a))
(cbrt.f64 a)
(pow.f64 a 1/3)
(*.f64 1 (cbrt.f64 a))
(cbrt.f64 a)
(pow.f64 a 1/3)
(*.f64 1 (cbrt.f64 a))
(cbrt.f64 a)
(*.f64 (pow.f64 (*.f64 -1 a) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 -1 a) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 -1 a) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 -1 a) 1/3) (*.f64 (pow.f64 1 1/9) (cbrt.f64 -1)))
(*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -1))
(pow.f64 a 1/9)
(*.f64 (pow.f64 a 1/18) (pow.f64 a 1/18))
(pow.f64 (pow.f64 a 1/36) 4)
(pow.f64 (pow.f64 a 1/72) 8)
(pow.f64 a 1/9)
(*.f64 (pow.f64 a 1/18) (pow.f64 a 1/18))
(pow.f64 (pow.f64 a 1/36) 4)
(pow.f64 (pow.f64 a 1/72) 8)
(pow.f64 a 1/9)
(*.f64 (pow.f64 a 1/18) (pow.f64 a 1/18))
(pow.f64 (pow.f64 a 1/36) 4)
(pow.f64 (pow.f64 a 1/72) 8)
(pow.f64 a 1/9)
(*.f64 (pow.f64 a 1/18) (pow.f64 a 1/18))
(pow.f64 (pow.f64 a 1/36) 4)
(pow.f64 (pow.f64 a 1/72) 8)
(pow.f64 a 1/9)
(*.f64 (pow.f64 a 1/18) (pow.f64 a 1/18))
(pow.f64 (pow.f64 a 1/36) 4)
(pow.f64 (pow.f64 a 1/72) 8)
(pow.f64 a 1/9)
(*.f64 (pow.f64 a 1/18) (pow.f64 a 1/18))
(pow.f64 (pow.f64 a 1/36) 4)
(pow.f64 (pow.f64 a 1/72) 8)
(pow.f64 a 1/9)
(*.f64 (pow.f64 a 1/18) (pow.f64 a 1/18))
(pow.f64 (pow.f64 a 1/36) 4)
(pow.f64 (pow.f64 a 1/72) 8)
(pow.f64 a 1/9)
(*.f64 (pow.f64 a 1/18) (pow.f64 a 1/18))
(pow.f64 (pow.f64 a 1/36) 4)
(pow.f64 (pow.f64 a 1/72) 8)
(*.f64 (pow.f64 (*.f64 -1 a) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 a) 1/18) (pow.f64 (neg.f64 a) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (neg.f64 a) 1/18) (*.f64 (pow.f64 (neg.f64 a) 1/18) (cbrt.f64 (cbrt.f64 -1))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 a) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 a) 1/18) (pow.f64 (neg.f64 a) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (neg.f64 a) 1/18) (*.f64 (pow.f64 (neg.f64 a) 1/18) (cbrt.f64 (cbrt.f64 -1))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 a) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 a) 1/18) (pow.f64 (neg.f64 a) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (neg.f64 a) 1/18) (*.f64 (pow.f64 (neg.f64 a) 1/18) (cbrt.f64 (cbrt.f64 -1))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 a) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 -1 a) 1/9) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 a) 1/18) (pow.f64 (neg.f64 a) 1/18)) (cbrt.f64 (cbrt.f64 -1)))
(*.f64 (pow.f64 (neg.f64 a) 1/18) (*.f64 (pow.f64 (neg.f64 a) 1/18) (cbrt.f64 (cbrt.f64 -1))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 a) 1/36) 4) (cbrt.f64 (cbrt.f64 -1)))

eval168.0ms (4.2%)

Compiler

Compiled 5969 to 4107 computations (31.2% saved)

prune99.0ms (2.5%)

Pruning

27 alts after pruning (15 fresh and 12 done)

PrunedKeptTotal
New4616467
Fresh6915
Picked101
Done21214
Total47027497
Error
0.0b
Counts
497 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
41.3b
(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
1.5b
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))) 3)
17.8b
(pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))) 3)
17.9b
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 3)
1.5b
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
1.0b
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (/.f64 1 (cbrt.f64 1/2)))
1.6b
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
0.8b
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
0.9b
(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
1.1b
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
46.8b
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))
0.8b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
17.2b
(/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))
41.2b
(/.f64 1 (pow.f64 (*.f64 2 (/.f64 a g)) 1/3))
1.1b
(/.f64 1 (/.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 2)) (cbrt.f64 g)))
0.8b
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
0.9b
(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
0.8b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a))))
17.2b
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
1.6b
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3) (cbrt.f64 (*.f64 g 1/2)))
0.9b
(*.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (*.f64 g 1/2)))
17.3b
(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
1.5b
(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
0.8b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
17.2b
(cbrt.f64 (/.f64 g (*.f64 2 a)))
17.6b
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
17.2b
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
Compiler

Compiled 288 to 233 computations (19.1% saved)

regimes158.0ms (3.9%)

Counts
42 → 1
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
(/.f64 1 (pow.f64 (*.f64 2 (/.f64 a g)) 1/3))
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
(/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
(*.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (*.f64 g 1/2)))
(/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 g 1/2))))
(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 g)) (cbrt.f64 (*.f64 2 a))))
(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 2)))
(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))) 3)
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
(*.f64 (cbrt.f64 g) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2))))
(/.f64 1 (/.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 2)) (cbrt.f64 g)))
(/.f64 (cbrt.f64 g) (sqrt.f64 (cbrt.f64 (*.f64 4 (*.f64 a a)))))
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (/.f64 1 (cbrt.f64 1/2)))
(pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))) 3)
(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))) 3)
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3) (cbrt.f64 (*.f64 g 1/2)))
(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
(pow.f64 (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 (*.f64 2 a)))) 3)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g (*.f64 a 2))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 g a)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (*.f64 (cbrt.f64 (cbrt.f64 g)) (/.f64 1 (cbrt.f64 (*.f64 2 a)))))
(*.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 a g))) 2)) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (/.f64 a g)))) -1))
Outputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
Calls

7 calls:

25.0ms
(*.f64 2 a)
24.0ms
a
20.0ms
g
19.0ms
(/.f64 g (*.f64 2 a))
19.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Results
ErrorSegmentsBranch
0.8b1g
0.8b1a
0.8b1(cbrt.f64 (/.f64 g (*.f64 2 a)))
0.8b1(cbrt.f64 (/.f64 g (*.f64 2 a)))
0.8b1(/.f64 g (*.f64 2 a))
0.8b1(/.f64 g (*.f64 2 a))
0.8b1(*.f64 2 a)
Compiler

Compiled 464 to 303 computations (34.7% saved)

regimes62.0ms (1.5%)

Counts
10 → 1
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
(/.f64 1 (pow.f64 (*.f64 2 (/.f64 a g)) 1/3))
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
(/.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 a g)))
Outputs
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
Calls

6 calls:

12.0ms
a
11.0ms
g
10.0ms
(/.f64 g (*.f64 2 a))
10.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
6.0ms
(*.f64 2 a)
Results
ErrorSegmentsBranch
0.8b1g
0.8b1a
0.8b1(cbrt.f64 (/.f64 g (*.f64 2 a)))
0.8b1(/.f64 g (*.f64 2 a))
0.8b1(*.f64 2 a)
0.8b1(*.f64 2 a)
Compiler

Compiled 104 to 72 computations (30.8% saved)

regimes52.0ms (1.3%)

Counts
7 → 1
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
(/.f64 1 (pow.f64 (*.f64 2 (/.f64 a g)) 1/3))
Outputs
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
Calls

5 calls:

10.0ms
g
10.0ms
(*.f64 2 a)
10.0ms
a
8.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
8.0ms
(/.f64 g (*.f64 2 a))
Results
ErrorSegmentsBranch
17.2b1g
17.2b1a
17.2b1(cbrt.f64 (/.f64 g (*.f64 2 a)))
17.2b1(/.f64 g (*.f64 2 a))
17.2b1(*.f64 2 a)
Compiler

Compiled 78 to 55 computations (29.5% saved)

regimes32.0ms (0.8%)

Accuracy

Total -24.3b remaining (-141.1%)

Threshold costs -24.3b (-141.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(cbrt.f64 (/.f64 1/2 (/.f64 a g)))
(cbrt.f64 (/.f64 g (*.f64 2 a)))
(pow.f64 (*.f64 1/2 (/.f64 g a)) 1/3)
(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
Outputs
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
Calls

5 calls:

9.0ms
(*.f64 2 a)
7.0ms
(/.f64 g (*.f64 2 a))
5.0ms
g
4.0ms
a
4.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Results
ErrorSegmentsBranch
17.2b1g
17.2b1a
17.2b1(cbrt.f64 (/.f64 g (*.f64 2 a)))
17.2b1(/.f64 g (*.f64 2 a))
17.2b1(*.f64 2 a)
Compiler

Compiled 61 to 43 computations (29.5% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01843
12343
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
Outputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
(/.f64 1 (cbrt.f64 (/.f64 (*.f64 2 a) g)))
(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
Compiler

Compiled 36 to 28 computations (22.2% saved)

soundness0.0ms (0%)

end31.0ms (0.8%)

Compiler

Compiled 30 to 21 computations (30% saved)

Profiling

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