Details

Time bar (total: 1.4s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample13.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
065
165

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))

simplify53.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04905108
14905108

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 4 expressions with local error:

0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.7b
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
19.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

series25.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
7.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
048981337
148981337

prune188.0ms

Filtered
71 candidates to 107 candidates (-50.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh011
Picked011
Done011
Total1064110

Merged error: 0b

Counts
110 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (sqrt (+ x (/ 1.0 3.0))))
0.1b
(cbrt (sqrt (+ x (/ 1.0 3.0))))
0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.6b
(* (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
222×cbrt-div
220×sqrt-div
136×frac-times
115×pow1
111×flip3-+ flip-+
49×pow-prod-up
47×pow1/3
44×associate-*r/ associate-*l/
33×pow-sqr
32×pow-prod-down
18×cbrt-prod pow-plus
16×add-exp-log
15×*-un-lft-identity
13×pow2
9×add-sqr-sqrt add-cube-cbrt
8×prod-exp sqrt-prod add-cbrt-cube cbrt-unprod
4×add-log-exp
3×distribute-lft-out
1×swap-sqr associate-*r* associate-*l* *-commutative unswap-sqr
Counts
4 → 202
Calls
4 calls:
7.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
40.0ms
(* (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))))

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(cbrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
8.0ms
(* (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))) (* (cbrt (sqrt (+ x (/ 1.0 3.0)))) (cbrt (sqrt (+ x (/ 1.0 3.0))))))

simplify70.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051345112

prune346.0ms

Filtered
85 candidates to 214 candidates (-151.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2140214
Fresh011
Picked011
Done022
Total2144218

Merged error: 0b

Counts
218 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(exp (+ x (/ 1.0 3.0)))
0.5b
(log (exp (+ x (/ 1.0 3.0))))

rewrite34.0ms

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:
11.0ms
(+ x (/ 1.0 3.0))
13.0ms
(exp (+ x (/ 1.0 3.0)))
8.0ms
(log (exp (+ x (/ 1.0 3.0))))

series6.0ms

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

simplify55.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04928343
14928343

prune59.0ms

Filtered
34 candidates to 52 candidates (-52.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New52052
Fresh000
Picked011
Done033
Total52456

Merged error: 0b

Counts
56 → 4

regimes66.0ms

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
065
165

end0.0ms

sample210.0ms

Algorithm
intervals
Results
128.0ms8000×body80valid

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