Details

Time bar (total: 5.4s)

sample18.0ms

Algorithm
intervals
Results
9.0ms363×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21795
35125
413575
550015

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: 5.5b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.2b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
224×add-sqr-sqrt
192×times-frac
162×*-un-lft-identity
121×associate-*r* associate-*l*
106×add-cube-cbrt
31×*-commutative unswap-sqr
28×distribute-lft-out-- difference-of-squares
18×prod-diff
16×add-exp-log add-cbrt-cube associate-/l*
12×flip3-- associate-/r* flip--
11×distribute-rgt-in distribute-lft-in
8×frac-times associate-/l/
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
2×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
1×frac-2neg pow-prod-down clear-num div-inv
Counts
2 → 302
Calls
2 calls:
10.0ms
(* (- 1.0 x) (- 3.0 x))
22.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series75.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (- 1.0 x) (- 3.0 x))
52.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
013762931
150022732

prune569.0ms

Filtered
308 candidates to 190 candidates (61.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3026308
Fresh000
Picked101
Done000
Total3036309

Merged error: 0b

Counts
309 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.0b
(/ (- 1.0 x) y)
0.2b
(* (/ (- 3.0 x) 3.0) (/ (- 1.0 x) y))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
193×add-sqr-sqrt
184×*-un-lft-identity
169×frac-times
152×associate-/l*
97×add-cube-cbrt
90×associate-/r*
64×times-frac
60×associate-/l/
43×distribute-lft-out--
42×difference-of-squares
31×clear-num
30×flip3-- frac-2neg flip--
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
13×associate-*r/ associate-*l/
6×cbrt-undiv div-exp
5×pow1
4×prod-exp cbrt-unprod div-inv unswap-sqr
3×expm1-log1p-u un-div-inv log1p-expm1-u add-log-exp
2×div-sub
1×pow-prod-down *-commutative
Counts
3 → 339
Calls
3 calls:
8.0ms
(/ (- 3.0 x) 3.0)
8.0ms
(/ (- 1.0 x) y)
32.0ms
(* (/ (- 3.0 x) 3.0) (/ (- 1.0 x) y))

series137.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (- 3.0 x) 3.0)
40.0ms
(/ (- 1.0 x) y)
52.0ms
(* (/ (- 3.0 x) 3.0) (/ (- 1.0 x) y))

simplify76.0ms

Algorithm
egg-herbie
Counts
348 → 348
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
014562679
150012606

prune721.0ms

Filtered
348 candidates to 225 candidates (64.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3453348
Fresh415
Picked011
Done000
Total3495354

Merged error: 0b

Counts
354 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 3.0 (- 3.0 x))
0.1b
(* (/ 3.0 (- 3.0 x)) (- y))
0.1b
(/ (- (- 1.0 x)) (* (/ 3.0 (- 3.0 x)) (- y)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
803×times-frac
685×add-sqr-sqrt
605×*-un-lft-identity
341×add-cube-cbrt
336×associate-*l*
243×distribute-lft-neg-in distribute-rgt-neg-in
160×associate-*r*
132×distribute-lft-out-- difference-of-squares
55×neg-mul-1
53×associate-/r*
45×associate-/r/
32×unswap-sqr
23×associate-/l*
22×associate-*l/
19×add-exp-log add-cbrt-cube
18×flip3-- flip-- div-inv
16×*-commutative
6×cbrt-undiv div-exp
5×pow1
4×frac-2neg prod-exp clear-num cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-/l/ distribute-neg-frac
1×neg-sub0 div-sub distribute-frac-neg pow-prod-down distribute-rgt-neg-out
Counts
3 → 716
Calls
3 calls:
6.0ms
(/ 3.0 (- 3.0 x))
15.0ms
(* (/ 3.0 (- 3.0 x)) (- y))
40.0ms
(/ (- (- 1.0 x)) (* (/ 3.0 (- 3.0 x)) (- y)))

series119.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ 3.0 (- 3.0 x))
32.0ms
(* (/ 3.0 (- 3.0 x)) (- y))
56.0ms
(/ (- (- 1.0 x)) (* (/ 3.0 (- 3.0 x)) (- y)))

simplify154.0ms

Algorithm
egg-herbie
Counts
725 → 725
Iterations

Useful iterations: 1 (59.0ms)

IterNodesCost
027219003
150018840

prune1.5s

Filtered
725 candidates to 443 candidates (61.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New7250725
Fresh033
Picked011
Done011
Total7255730

Merged error: 0b

Counts
730 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.2b
(/ (/ (- 1.0 x) y) 3.0)
0.3b
(* (- 3.0 x) (/ (/ (- 1.0 x) y) 3.0))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
282×times-frac
242×add-sqr-sqrt
237×*-un-lft-identity
155×add-cube-cbrt
104×associate-/l*
76×frac-times
65×associate-/l/
61×associate-*r*
44×flip3-- flip--
40×distribute-lft-out--
39×difference-of-squares
38×associate-*r/
27×associate-/r*
19×add-exp-log add-cbrt-cube
13×div-inv
11×clear-num
9×frac-2neg
7×cbrt-undiv div-exp
5×pow1 associate-*l* un-div-inv
3×expm1-log1p-u div-sub prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×associate-*l/
1×pow-prod-down *-commutative
Counts
3 → 356
Calls
3 calls:
8.0ms
(/ (- 1.0 x) y)
16.0ms
(/ (/ (- 1.0 x) y) 3.0)
34.0ms
(* (- 3.0 x) (/ (/ (- 1.0 x) y) 3.0))

series135.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- 1.0 x) y)
50.0ms
(/ (/ (- 1.0 x) y) 3.0)
49.0ms
(* (- 3.0 x) (/ (/ (- 1.0 x) y) 3.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
365 → 365
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
012542932
150012848

prune841.0ms

Filtered
365 candidates to 265 candidates (72.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3650365
Fresh022
Picked011
Done022
Total3655370

Merged error: 0b

Counts
370 → 5

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167
1207
2237
3237

end0.0ms

sample452.0ms

Algorithm
intervals
Results
273.0ms10672×body80valid