Details

Time bar (total: 1.3s)

analyze6.0ms

Algorithm
search

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
6.0ms
(+ x (/ 1.0 3.0))

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(+ x (/ 1.0 3.0))

simplify113.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07755
120150
247550
3128250
4389350
5500250

prune21.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
14.6b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
30×times-frac
27×*-un-lft-identity
20×difference-of-squares
15×add-cube-cbrt
7×add-log-exp
6×associate-/r* distribute-lft-out--
5×add-exp-log add-cbrt-cube
4×flip3-- flip-- associate-/l*
3×pow1
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 79
Calls
3 calls:
8.0ms
(- x (/ 1.0 3.0))
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
11.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series13.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(- x (/ 1.0 3.0))
4.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
7.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0326889
11404804
25002791

prune132.0ms

Filtered
67 candidates to 88 candidates (-31.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New87188
Fresh011
Picked011
Done011
Total87491

Merged error: 0b

Counts
91 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.5b
(pow (- x (/ 1.0 3.0)) 3)
14.6b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (pow (- x (/ 1.0 3.0)) 3)))
17.8b
(cbrt (pow (- x (/ 1.0 3.0)) 3))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
122×add-sqr-sqrt
108×cbrt-prod
98×times-frac
80×*-un-lft-identity
52×add-cube-cbrt
51×difference-of-squares
42×unpow-prod-down cube-prod
21×associate-/r*
14×distribute-lft-out--
7×add-exp-log cube-mult unpow3 sqr-pow
6×cube-div add-cbrt-cube add-log-exp
5×pow1 flip3-- flip--
4×cbrt-div associate-/l*
3×pow-unpow
2×associate-/r/ associate-/l/
1×cbrt-undiv pow-to-exp sub-neg pow-pow frac-2neg pow1/3 diff-log div-sub div-exp pow-exp clear-num rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 199
Calls
4 calls:
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
7.0ms
(pow (- x (/ 1.0 3.0)) 3)
16.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (pow (- x (/ 1.0 3.0)) 3)))
8.0ms
(cbrt (pow (- x (/ 1.0 3.0)) 3))

series26.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
2.0ms
(pow (- x (/ 1.0 3.0)) 3)
11.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (pow (- x (/ 1.0 3.0)) 3)))
4.0ms
(cbrt (pow (- x (/ 1.0 3.0)) 3))

simplify90.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06032627
127312333
250012307

prune234.0ms

Filtered
104 candidates to 211 candidates (-102.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2110211
Fresh011
Picked011
Done022
Total2114215

Merged error: 0b

Counts
215 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.3b
(log (exp (+ x (/ 1.0 3.0))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
8×exp-prod add-log-exp
6×add-sqr-sqrt add-cube-cbrt
5×log-pow
4×pow1 log-prod
3×add-exp-log add-cbrt-cube distribute-lft-out
2×exp-sum sum-log rem-exp-log
1×+-commutative flip3-+ rem-log-exp flip-+
Counts
3 → 43
Calls
3 calls:
6.0ms
(exp (+ x (/ 1.0 3.0)))
5.0ms
(+ x (/ 1.0 3.0))
6.0ms
(log (exp (+ x (/ 1.0 3.0))))

series6.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(exp (+ x (/ 1.0 3.0)))
2.0ms
(+ x (/ 1.0 3.0))
3.0ms
(log (exp (+ x (/ 1.0 3.0))))

simplify93.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0136194
1432172
21093170
33091170
45001170

prune59.0ms

Filtered
35 candidates to 52 candidates (-48.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New52052
Fresh000
Picked011
Done033
Total52456

Merged error: 0b

Counts
56 → 4

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

analyze2.0ms

Algorithm
search

sample221.0ms

Algorithm
intervals
Results
133.0ms8000×body80valid

Profiling

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