Details

Time bar (total: 1.3s)

analyze3.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%2
25%25%50%3
25%12.5%62.5%4
25%6.2%68.8%5
25%3.1%71.9%6
25%1.6%73.5%7
25%0.8%74.2%8
25%0.4%74.6%9
25%0.2%74.8%10
25%0.1%74.9%11
25%0%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample840.0ms (62.7%)

Results
827.0ms8256×body128valid
0.0msbody128invalid
Compiler

Compiled 16 to 10 computations (37.5% saved)

preprocess63.0ms (4.7%)

Algorithm
egg-herbie
Rules
1835×fma-neg_binary64
684×fma-def_binary64
317×unsub-neg_binary64
293×distribute-rgt-in_binary64
245×distribute-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
1710
21210
31910
42810
54510
68310
712410
820110
939510
1083310
11218910
12424710
13473710
14491110
15496610
16497610
17497610
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify54.0ms (4%)

Algorithm
egg-herbie
Rules
1835×fma-neg_binary64
684×fma-def_binary64
317×unsub-neg_binary64
293×distribute-rgt-in_binary64
245×distribute-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
1710
21210
31910
42810
54510
68310
712410
820110
939510
1083310
11218910
12424710
13473710
14491110
15496610
16497610
17497610
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.3b
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
Compiler

Compiled 21 to 12 computations (42.9% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(log.f64 (log.f64 x))
0.3b
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

series113.0ms (8.5%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
47.0ms
x
@-inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
39.0ms
x
@0
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
26.0ms
x
@inf
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
0.0ms
x
@0
(log.f64 (log.f64 x))
0.0ms
x
@-inf
(log.f64 (log.f64 x))

rewrite39.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
600×pow1_binary64
560×add-log-exp_binary64
560×log1p-expm1-u_binary64
560×expm1-log1p-u_binary64
56×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
110713
2148513
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (log.f64 x) 1))))))

simplify60.0ms (4.5%)

Algorithm
egg-herbie
Rules
1648×fma-def_binary64
625×fma-neg_binary64
583×distribute-rgt-in_binary64
397×distribute-lft-in_binary64
316×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017216
141136
287120
3256120
4688120
51585120
62866120
73700120
83915120
94529120
104807120
114914120
Stop Event
node limit
Counts
70 → 60
Calls
Call 1
Inputs
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x))))))
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x))))))
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x))))))
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x))))))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x))))
(log.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
Outputs
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x))))))
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))))
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x))))))
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))))
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x))))))
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))))
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(*.f64 -1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 (neg.f64 (log.f64 (/.f64 1 x))))))
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))))
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x))))
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))))
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x))))
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))))
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x))))
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))))
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (log.f64 (/.f64 -1 x))))
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))))
(neg.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))

prune24.0ms (1.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New59160
Fresh000
Picked101
Done000
Total60161
Error
0b
Counts
61 → 1
Alt Table
StatusErrorProgram
0b
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 751 to 283 computations (62.3% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 x (log.f64 x))

series13.0ms (1%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(/.f64 x (log.f64 x))
4.0ms
x
@-inf
(/.f64 x (log.f64 x))
1.0ms
x
@0
(/.f64 x (log.f64 x))

rewrite30.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
440×pow1_binary64
408×add-log-exp_binary64
408×log1p-expm1-u_binary64
408×expm1-log1p-u_binary64
399×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
1826
210916
Stop Event
node limit
Counts
1 → 31
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 *.f64 x (/.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (log.f64 x)) 1)))) (#(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 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))))) (#(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 (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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (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 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))))) (#(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 pow.f64 (/.f64 (log.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (log.f64 x))))))) (#(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 (exp.f64 (/.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 exp.f64 (log.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))))))

simplify24.0ms (1.8%)

Algorithm
egg-herbie
Rules
1021×fma-neg_binary64
674×fma-def_binary64
493×div-sub_binary64
217×distribute-rgt-in_binary64
190×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01380
12680
24072
38948
418548
557848
6229048
7440648
Stop Event
node limit
Counts
39 → 34
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
Outputs
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))

prune14.0ms (1.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New34034
Fresh000
Picked011
Done000
Total34135
Error
0b
Counts
35 → 1
Alt Table
StatusErrorProgram
0b
(log.f64 (/.f64 x (log.f64 x)))
Compiler

Compiled 340 to 166 computations (51.2% saved)

regimes16.0ms (1.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
5 → 1
Compiler

Compiled 56 to 22 computations (60.7% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 x (log.f64 x)))
Outputs
(log.f64 (/.f64 x (log.f64 x)))

end34.0ms (2.5%)

Stop Event
done
Compiler

Compiled 18 to 12 computations (33.3% saved)

Profiling

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