Details

Time bar (total: 3.1s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
093
1113
2113

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: 15.9b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

15.6b
(cbrt (/ g (* 2.0 a)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
5×cbrt-div
2×associate-/r*
1×cbrt-prod frac-2neg pow1/3 clear-num *-commutative div-inv
Counts
1 → 7
Calls
1 calls:
3.0ms
(cbrt (/ g (* 2.0 a)))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(cbrt (/ g (* 2.0 a)))

simplify153.0ms

Algorithm
egg-herbie
Counts
10 → 10
Iterations

Useful iterations: 4 (34.0ms)

IterNodesCost
08147
114145
234045
396543
4478036
5500136

prune24.0ms

Filtered
10 candidates to 8 candidates (80.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New6410
Fresh000
Picked011
Done000
Total6511

Merged error: 0.3b

Counts
11 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (cbrt (- g)) (cbrt (- (* 2.0 a))))
0.5b
(cbrt (- (* 2.0 a)))
0.6b
(cbrt (- g))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
10×neg-mul-1
6×distribute-lft-neg-in distribute-rgt-neg-in *-commutative
5×times-frac associate-/r*
2×pow1/3
1×cbrt-undiv frac-2neg clear-num div-inv associate-/l*
Counts
3 → 23
Calls
3 calls:
4.0ms
(/ (cbrt (- g)) (cbrt (- (* 2.0 a))))
2.0ms
(cbrt (- (* 2.0 a)))
1.0ms
(cbrt (- g))

series532.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(/ (cbrt (- g)) (cbrt (- (* 2.0 a))))
207.0ms
(cbrt (- (* 2.0 a)))
192.0ms
(cbrt (- g))

simplify82.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
0125144
1252142
2727142
32722140
45002140

prune104.0ms

Filtered
32 candidates to 27 candidates (84.4%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New27532
Fresh033
Picked011
Done011
Total271037

Merged error: 0.1b

Counts
37 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (cbrt (- (* 2.0 a))))
0.3b
(* (cbrt (- g)) (/ 1 (cbrt (- (* 2.0 a)))))
0.5b
(cbrt (- (* 2.0 a)))
0.6b
(cbrt (- g))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
10×associate-/r*
8×associate-*r/
7×*-commutative
6×distribute-lft-neg-in distribute-rgt-neg-in
5×neg-mul-1
3×pow1/3 clear-num
2×frac-2neg un-div-inv div-inv
1×pow-flip associate-*r* associate-*l* inv-pow
Counts
4 → 31
Calls
4 calls:
4.0ms
(/ 1 (cbrt (- (* 2.0 a))))
6.0ms
(* (cbrt (- g)) (/ 1 (cbrt (- (* 2.0 a)))))
2.0ms
(cbrt (- (* 2.0 a)))
1.0ms
(cbrt (- g))

series749.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(/ 1 (cbrt (- (* 2.0 a))))
130.0ms
(* (cbrt (- g)) (/ 1 (cbrt (- (* 2.0 a)))))
205.0ms
(cbrt (- (* 2.0 a)))
188.0ms
(cbrt (- g))

simplify78.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
0153141
1386135
21050135
33285133
45001133

prune98.0ms

Filtered
43 candidates to 31 candidates (72.1%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New41243
Fresh257
Picked011
Done022
Total431053

Merged error: 0.1b

Counts
53 → 10

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (cbrt (/ g 2.0)) (cbrt a))
0.6b
(cbrt a)
0.6b
(cbrt (/ g 2.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-div
3×frac-2neg clear-num div-inv associate-/l/
2×cbrt-prod pow1/3
1×cbrt-undiv associate-/l*
Counts
3 → 14
Calls
3 calls:
3.0ms
(/ (cbrt (/ g 2.0)) (cbrt a))
1.0ms
(cbrt a)
2.0ms
(cbrt (/ g 2.0))

series481.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(/ (cbrt (/ g 2.0)) (cbrt a))
171.0ms
(cbrt a)
205.0ms
(cbrt (/ g 2.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 4 (56.0ms)

IterNodesCost
012184
123982
264382
3207580
4500279

prune51.0ms

Filtered
23 candidates to 20 candidates (87.0%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New19423
Fresh246
Picked011
Done033
Total211233

Merged error: 0.0b

Counts
33 → 12

regimes187.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197
1217
2217

end0.0ms

sample294.0ms

Algorithm
intervals
Results
171.0ms8000×body80valid