Details

Time bar (total: 1.4s)

analyze3.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%25%37.5%4
43.7%12.5%43.8%5
46.9%6.2%46.9%6
48.4%3.1%48.5%7
49.2%1.6%49.2%8
49.6%0.8%49.6%9
49.6%0.4%50%10
49.7%0.2%50.1%11
49.7%0.1%50.2%12
49.7%0%50.2%13
49.7%0%50.2%14
Compiler

Compiled 6 to 4 computations (33.3% saved)

sample721.0ms (51.6%)

Results
702.0ms8256×body128valid
0.0msbody128invalid
Compiler

Compiled 12 to 8 computations (33.3% saved)

preprocess13.0ms (0.9%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 x (log.f64 x))
Outputs
(*.f64 x (log.f64 x))
Compiler

Compiled 5 to 3 computations (40% saved)

simplify6.0ms (0.4%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x (log.f64 x))
Outputs
(*.f64 x (log.f64 x))

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.2b
(*.f64 x (log.f64 x))
Compiler

Compiled 15 to 9 computations (40% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (log.f64 x))

series65.0ms (4.7%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
42.0ms
x
@0
(*.f64 x (log.f64 x))
16.0ms
x
@-inf
(*.f64 x (log.f64 x))
7.0ms
x
@inf
(*.f64 x (log.f64 x))

rewrite30.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
348×pow1_binary64
319×add-log-exp_binary64
319×log1p-expm1-u_binary64
319×expm1-log1p-u_binary64
312×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
1766
28876
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 x (log.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))))

simplify39.0ms (2.8%)

Algorithm
egg-herbie
Rules
1161×fma-neg_binary64
786×fma-def_binary64
322×unsub-neg_binary64
233×distribute-rgt-in_binary64
168×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01572
13072
25772
313172
435772
5102272
6254472
7367772
8407572
9416672
10417672
11433972
Stop Event
node limit
Counts
23 → 15
Calls
Call 1
Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 x (log.f64 x))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 x (log.f64 x))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 x (log.f64 x))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 x (log.f64 x))

prune14.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416
Error
0.2b
Counts
16 → 4
Alt Table
StatusErrorProgram
42.6b
(cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))
33.0b
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
1.4b
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
0.2b
(*.f64 x (log.f64 x))
Compiler

Compiled 151 to 87 computations (42.4% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x (log.f64 x))
0.6b
(cbrt.f64 (*.f64 x (log.f64 x)))
0.7b
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)

series8.0ms (0.6%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.0ms
x
@-inf
(cbrt.f64 (*.f64 x (log.f64 x)))
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.0ms
x
@0
(cbrt.f64 (*.f64 x (log.f64 x)))

rewrite37.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
524×pow1_binary64
493×add-log-exp_binary64
493×log1p-expm1-u_binary64
493×expm1-log1p-u_binary64
481×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
114514
2141014
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
(cbrt.f64 (*.f64 x (log.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (*.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) 3) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (pow.f64 (*.f64 x (log.f64 x)) 1/6)) (pow.f64 (*.f64 x (log.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) (pow.f64 (*.f64 x (log.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (log.f64 x)))))))))

simplify6.0ms (0.4%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
54 → 54
Calls
Call 1
Inputs
Outputs

prune34.0ms (2.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New62769
Fresh112
Picked011
Done011
Total631073
Error
0.0b
Counts
73 → 10
Alt Table
StatusErrorProgram
33.0b
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
1.3b
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
43.0b
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))
1.2b
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
0.6b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
33.0b
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
1.4b
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)))
1.4b
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.2b
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
0.2b
(*.f64 x (log.f64 x))
Compiler

Compiled 930 to 434 computations (53.3% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
0.3b
(*.f64 (sqrt.f64 x) (log.f64 x))

series5.0ms (0.4%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
1.0ms
x
@-inf
(*.f64 (sqrt.f64 x) (log.f64 x))
1.0ms
x
@0
(*.f64 (sqrt.f64 x) (log.f64 x))
1.0ms
x
@inf
(*.f64 (sqrt.f64 x) (log.f64 x))
0.0ms
x
@inf
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))

rewrite32.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
527×pow1_binary64
485×add-log-exp_binary64
485×log1p-expm1-u_binary64
485×expm1-log1p-u_binary64
473×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
111714
2138014
Stop Event
node limit
Counts
2 → 27
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (log.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 x) (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (log.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 (sqrt.f64 x) (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (log.f64 x)) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))))

simplify55.0ms (3.9%)

Algorithm
egg-herbie
Rules
1640×fma-neg_binary64
564×fma-def_binary64
213×distribute-rgt-in_binary64
196×unsub-neg_binary64
175×distribute-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
12148
23648
37548
414048
519948
622448
729048
867648
9117648
10249848
11321948
12349248
13355848
14358048
15358548
Stop Event
node limit
Counts
35 → 30
Calls
Call 1
Inputs
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
Outputs
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))

prune20.0ms (1.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New27330
Fresh167
Picked011
Done022
Total281240
Error
0.0b
Counts
40 → 12
Alt Table
StatusErrorProgram
21.3b
(*.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (log.f64 x) 3))))
33.0b
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
33.0b
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
1.3b
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
1.4b
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.4b
(*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (log.f64 x))) 3))
43.0b
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))
1.2b
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
0.6b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
31.7b
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (pow.f64 (log.f64 x) 2))))
1.2b
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
0.2b
(*.f64 x (log.f64 x))
Compiler

Compiled 491 to 270 computations (45% saved)

localize12.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (cbrt.f64 (log.f64 x)) x)
0.3b
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
0.5b
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
0.5b
(cbrt.f64 (log.f64 x))

series11.0ms (0.8%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(cbrt.f64 (log.f64 x))
2.0ms
x
@0
(cbrt.f64 (log.f64 x))
1.0ms
x
@-inf
(cbrt.f64 (log.f64 x))
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
1.0ms
x
@inf
(*.f64 (cbrt.f64 (log.f64 x)) x)

rewrite49.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
655×pow1_binary64
605×add-log-exp_binary64
605×log1p-expm1-u_binary64
605×expm1-log1p-u_binary64
74×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
116027
2175527
Stop Event
node limit
Counts
4 → 67
Calls
Call 1
Inputs
(cbrt.f64 (log.f64 x))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
(*.f64 (cbrt.f64 (log.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (log.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 1/6) (*.f64 (pow.f64 (log.f64 x) 1/6) (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (*.f64 x (cbrt.f64 (log.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (cbrt.f64 (log.f64 x))) 3) (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cbrt.f64 (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (log.f64 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cbrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 (log.f64 x)))))))))

simplify31.0ms (2.2%)

Algorithm
egg-herbie
Rules
895×fma-def_binary64
486×unswap-sqr_binary64
383×associate-*l*_binary64
347×associate-*r*_binary64
337×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034420
189412
2184412
3609412
42312412
Stop Event
node limit
Counts
115 → 84
Calls
Call 1
Inputs
(pow.f64 (log.f64 x) 1/3)
(pow.f64 (log.f64 x) 1/3)
(pow.f64 (log.f64 x) 1/3)
(pow.f64 (log.f64 x) 1/3)
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (cbrt.f64 -1))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) 1/3)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 (pow.f64 (log.f64 x) 1/3) x)
(*.f64 (pow.f64 (log.f64 x) 1/3) x)
(*.f64 (pow.f64 (log.f64 x) 1/3) x)
(*.f64 (pow.f64 (log.f64 x) 1/3) x)
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (*.f64 (cbrt.f64 -1) x))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (*.f64 (cbrt.f64 -1) x))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (*.f64 (cbrt.f64 -1) x))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (*.f64 (cbrt.f64 -1) x))
(*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3) x)
(*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3) x)
(*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3) x)
(*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3) x)
Outputs
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 -1))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 x (log.f64 x))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 x (log.f64 x))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 x (log.f64 x))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)
(*.f64 x (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 x) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (*.f64 (cbrt.f64 -1) x))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (*.f64 x (cbrt.f64 -1)))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (*.f64 (cbrt.f64 -1) x))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (*.f64 x (cbrt.f64 -1)))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (*.f64 (cbrt.f64 -1) x))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (*.f64 x (cbrt.f64 -1)))
(*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 1/3) (*.f64 (cbrt.f64 -1) x))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (*.f64 x (cbrt.f64 -1)))
(*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1/3) x)
(*.f64 x (cbrt.f64 (log.f64 x)))

prune46.0ms (3.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1072109
Fresh268
Picked101
Done033
Total11011121
Error
0.0b
Counts
121 → 11
Alt Table
StatusErrorProgram
21.3b
(*.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (log.f64 x) 3))))
33.0b
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x))
33.0b
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2)
1.3b
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2)))
1.4b
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 3)
1.4b
(*.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (log.f64 x))) 3))
33.2b
(*.f64 (pow.f64 (pow.f64 (log.f64 x) 1/3) 2) (*.f64 (cbrt.f64 (log.f64 x)) x))
1.2b
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
0.6b
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)))
0.2b
(*.f64 x (log.f64 x))
0.7b
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) x))
Compiler

Compiled 1591 to 733 computations (53.9% saved)

regimes33.0ms (2.4%)

Accuracy

Total 0.2b remaining (84.3%)

Threshold costs 0.2b (84.3%)

Counts
24 → 1
Compiler

Compiled 260 to 113 computations (56.5% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
156
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (log.f64 x))
Outputs
(*.f64 x (log.f64 x))

end112.0ms (8%)

Stop Event
fuel
Compiler

Compiled 127 to 83 computations (34.6% saved)

Profiling

Loading profile data...