Details

Time bar (total: 3.3s)

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)))

series98.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(cbrt (/ g (* 2.0 a)))

simplify144.0ms

Algorithm
egg-herbie
Counts
10 → 10
Iterations

Useful iterations: 4 (32.0ms)

IterNodesCost
08147
114145
233445
393443
4433636
5500236

prune23.0ms

Filtered
10 candidates to 8 candidates (80.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New7310
Fresh000
Picked011
Done000
Total7411

Merged error: 0.3b

Counts
11 → 4

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))

rewrite13.0ms

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:
9.0ms
(/ (cbrt (- g)) (cbrt (- (* 2.0 a))))
2.0ms
(cbrt (- (* 2.0 a)))
1.0ms
(cbrt (- g))

series535.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(/ (cbrt (- g)) (cbrt (- (* 2.0 a))))
208.0ms
(cbrt (- (* 2.0 a)))
193.0ms
(cbrt (- g))

simplify68.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
0125144
1252142
2721142
32686140
45002140

prune89.0ms

Filtered
32 candidates to 27 candidates (84.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New27532
Fresh022
Picked011
Done011
Total27936

Merged error: 0.2b

Counts
36 → 9

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))

rewrite14.0ms

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:
3.0ms
(/ 1 (cbrt (- (* 2.0 a))))
6.0ms
(* (cbrt (- g)) (/ 1 (cbrt (- (* 2.0 a)))))
2.0ms
(cbrt (- (* 2.0 a)))
1.0ms
(cbrt (- g))

series770.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(/ 1 (cbrt (- (* 2.0 a))))
135.0ms
(* (cbrt (- g)) (/ 1 (cbrt (- (* 2.0 a)))))
210.0ms
(cbrt (- (* 2.0 a)))
197.0ms
(cbrt (- g))

simplify77.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
0153141
1386135
21044135
33249133
45002133

prune98.0ms

Filtered
43 candidates to 30 candidates (69.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New42143
Fresh156
Picked011
Done022
Total43952

Merged error: 0.1b

Counts
52 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
10×associate-/l*
8×associate-/r/
6×distribute-lft-neg-in distribute-rgt-neg-in *-commutative
3×cbrt-undiv neg-mul-1 frac-2neg clear-num div-inv
2×pow1/3
1×associate-/r*
Counts
4 → 29
Calls
4 calls:
5.0ms
(/ (cbrt -1) (/ (cbrt (- (* 2.0 a))) (cbrt g)))
4.0ms
(/ (cbrt (- (* 2.0 a))) (cbrt g))
2.0ms
(cbrt (- (* 2.0 a)))
1.0ms
(cbrt g)

series668.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(/ (cbrt -1) (/ (cbrt (- (* 2.0 a))) (cbrt g)))
113.0ms
(/ (cbrt (- (* 2.0 a))) (cbrt g))
201.0ms
(cbrt (- (* 2.0 a)))
188.0ms
(cbrt g)

simplify63.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0178181
1476177
22163176
35003175

prune108.0ms

Filtered
41 candidates to 36 candidates (87.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New38341
Fresh055
Picked011
Done123
Total391150

Merged error: 0.1b

Counts
50 → 11

regimes181.0ms

Accuracy

0% (0.7b remaining)

Error of 0.9b against oracle of 0.2b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1166
2166

end0.0ms

sample298.0ms

Algorithm
intervals
Results
173.0ms8000×body80valid