Details

Time bar (total: 5.1s)

sample13.0ms

Algorithm
intervals
Results
5.0ms241×body80valid
1.0ms8×body640valid
0.0ms3×body1280valid
0.0ms2×body320valid
0.0ms2×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1253
2343
3413
4473
5503
6503

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(- x (* (/ 3.0 8.0) y))

simplify88.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune26.0ms

Filtered
15 candidates to 11 candidates (73.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
247.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
275.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
269.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
260.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify71.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
02371018
1740953
22721895
35001874

prune202.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh011
Picked011
Done011
Total975102

Merged error: 0.0b

Counts
102 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-div
19×flip3-- flip--
12×frac-times
6×cbrt-prod associate-*r/ associate-*l/
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 64
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
241.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
278.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
245.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify129.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 4 (117.0ms)

IterNodesCost
02131222
14991150
214671142
345741137
450011136

prune224.0ms

Filtered
76 candidates to 62 candidates (81.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New75176
Fresh022
Picked011
Done022
Total75681

Merged error: 0.0b

Counts
81 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.5b
(* (cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))) (cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
564×cbrt-div
148×frac-times
126×flip3-- flip--
50×associate-*r/ associate-*l/
41×cbrt-prod
24×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 unswap-sqr
7×swap-sqr associate-*r* associate-*l*
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 179
Calls
4 calls:
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
13.0ms
(* (cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))) (cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
239.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
253.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
268.0ms
(* (cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))) (cbrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))))

simplify126.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
03986769
19496612
229136436
350016423

prune551.0ms

Filtered
191 candidates to 102 candidates (53.4%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1910191
Fresh022
Picked011
Done033
Total1916197

Merged error: 0.0b

Counts
197 → 6

regimes94.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample333.0ms

Algorithm
intervals
Results
157.0ms7393×body80valid
20.0ms219×body1280valid
12.0ms160×body640valid
10.0ms85×body2560valid
5.0ms94×body320valid
2.0ms49×body160valid

Profiling

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