Details

Time bar (total: 1.5s)

analyze4.0ms

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

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
044
144

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (log x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
4.0ms
(* x (log x))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* x (log x))

simplify82.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04610169
14610169

prune31.0ms

Filtered
16 candidates to 28 candidates (-75.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24428
Fresh000
Picked011
Done000
Total24529

Merged error: 0.0b

Counts
29 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* (log (cbrt x)) 2))
0.3b
(+ (* x (* (log (cbrt x)) 2)) (* x (log (cbrt x))))
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod associate-+r+ log-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×distribute-rgt-in distribute-lft-in add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out
Counts
4 → 64
Calls
4 calls:
5.0ms
(* x (* (log (cbrt x)) 2))
7.0ms
(+ (* x (* (log (cbrt x)) 2)) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series138.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* x (* (log (cbrt x)) 2))
49.0ms
(+ (* x (* (log (cbrt x)) 2)) (* x (log (cbrt x))))
21.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify47.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05152513

prune81.0ms

Filtered
54 candidates to 76 candidates (-40.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New74276
Fresh033
Picked011
Done011
Total74781

Merged error: 0b

Counts
81 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (* (cbrt -1) (cbrt (* x -1))))
0.2b
(* x (* 3 (log (* (cbrt -1) (cbrt (* x -1))))))
0.3b
(* 3 (log (* (cbrt -1) (cbrt (* x -1)))))
0.7b
(cbrt (* x -1))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
14×add-exp-log
11×add-cbrt-cube
9×add-sqr-sqrt
8×pow-prod-down
7×add-cube-cbrt log-prod *-un-lft-identity associate-*r*
6×associate-*l* log-pow
5×distribute-rgt-in distribute-lft-in pow1/3 prod-exp
4×cbrt-unprod add-log-exp
2×rem-log-exp *-commutative
1×cbrt-prod unswap-sqr
Counts
4 → 67
Calls
4 calls:
4.0ms
(log (* (cbrt -1) (cbrt (* x -1))))
8.0ms
(* x (* 3 (log (* (cbrt -1) (cbrt (* x -1))))))
7.0ms
(* 3 (log (* (cbrt -1) (cbrt (* x -1)))))
2.0ms
(cbrt (* x -1))

series199.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(log (* (cbrt -1) (cbrt (* x -1))))
68.0ms
(* x (* 3 (log (* (cbrt -1) (cbrt (* x -1))))))
53.0ms
(* 3 (log (* (cbrt -1) (cbrt (* x -1)))))
25.0ms
(cbrt (* x -1))

simplify54.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05313389

prune89.0ms

Filtered
51 candidates to 79 candidates (-54.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New78179
Fresh134
Picked011
Done022
Total79786

Merged error: 0b

Counts
86 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* (log (pow x 1/3)) 2))
0.3b
(+ (* x (* (log (pow x 1/3)) 2)) (* x (log (cbrt x))))
0.7b
(cbrt x)
5.0b
(pow x 1/3)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt associate-+r+ log-prod *-un-lft-identity
10×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
6×distribute-rgt-in distribute-lft-in add-log-exp
3×unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 associate-*r* pow-exp sum-log *-commutative flip-+ distribute-lft-out sqr-pow
Counts
4 → 71
Calls
4 calls:
5.0ms
(* x (* (log (pow x 1/3)) 2))
7.0ms
(+ (* x (* (log (pow x 1/3)) 2)) (* x (log (cbrt x))))
1.0ms
(cbrt x)
2.0ms
(pow x 1/3)

series142.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* x (* (log (pow x 1/3)) 2))
60.0ms
(+ (* x (* (log (pow x 1/3)) 2)) (* x (log (cbrt x))))
21.0ms
(cbrt x)
19.0ms
(pow x 1/3)

simplify33.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05085464

prune77.0ms

Filtered
57 candidates to 83 candidates (-45.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New83083
Fresh033
Picked011
Done033
Total83790

Merged error: 0b

Counts
90 → 7

regimes84.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
144

end0.0ms

analyze3.0ms

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

sample277.0ms

Algorithm
intervals
Results
191.0ms8000×body80valid
0.0ms1×body80nan

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