Details

Time bar (total: 3.8s)

sample18.0ms

Algorithm
intervals
Results
8.0ms345×body80valid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.9b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
212×add-sqr-sqrt
192×times-frac
150×*-un-lft-identity
121×associate-*r* associate-*l*
94×add-cube-cbrt
31×*-commutative unswap-sqr
28×distribute-lft-out-- difference-of-squares
16×add-exp-log add-cbrt-cube associate-/l*
12×flip3-- associate-/r* flip--
8×frac-times associate-/l/
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
2×distribute-rgt-in sub-neg distribute-lft-in add-log-exp
1×frac-2neg pow-prod-down clear-num div-inv
Counts
2 → 280
Calls
2 calls:
9.0ms
(* (- 1.0 x) (- 3.0 x))
20.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series71.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* (- 1.0 x) (- 3.0 x))
47.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
012922633
150022566

prune363.0ms

Filtered
286 candidates to 184 candidates (35.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2815286
Fresh000
Picked101
Done000
Total2825287

Merged error: 0b

Counts
287 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

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×un-div-inv add-log-exp
2×div-sub
1×pow-prod-down *-commutative
Counts
3 → 333
Calls
3 calls:
6.0ms
(/ (- 3.0 x) 3.0)
6.0ms
(/ (- 1.0 x) y)
25.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series129.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- 3.0 x) 3.0)
39.0ms
(/ (- 1.0 x) y)
51.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
014402683
150012613

prune446.0ms

Filtered
342 candidates to 220 candidates (35.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3393342
Fresh314
Picked101
Done000
Total3434347

Merged error: 0b

Counts
347 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

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×div-sub prod-exp cbrt-unprod add-log-exp unswap-sqr
2×associate-*l/
1×pow-prod-down *-commutative
Counts
3 → 350
Calls
3 calls:
6.0ms
(/ (- 3.0 x) 3.0)
11.0ms
(/ (/ (- 3.0 x) 3.0) y)
35.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series138.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (- 3.0 x) 3.0)
40.0ms
(/ (/ (- 3.0 x) 3.0) y)
54.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify68.0ms

Algorithm
egg-herbie
Counts
359 → 359
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
012272944
150012859

prune554.0ms

Filtered
359 candidates to 262 candidates (27.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3581359
Fresh123
Picked011
Done000
Total3594363

Merged error: 0b

Counts
363 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
1059×times-frac
677×add-sqr-sqrt *-un-lft-identity
405×add-cube-cbrt
136×distribute-lft-out-- difference-of-squares
53×associate-/r/
45×div-inv
37×associate-/r*
35×associate-/l*
23×flip3-- flip--
19×add-exp-log add-cbrt-cube
17×associate-/l/
10×cbrt-undiv div-exp
5×frac-2neg clear-num
3×pow1 div-sub add-log-exp
Counts
3 → 557
Calls
3 calls:
5.0ms
(/ 3.0 (- 3.0 x))
6.0ms
(/ (- 1.0 x) y)
23.0ms
(/ (/ (- 1.0 x) y) (/ 3.0 (- 3.0 x)))

series112.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ 3.0 (- 3.0 x))
39.0ms
(/ (- 1.0 x) y)
46.0ms
(/ (/ (- 1.0 x) y) (/ 3.0 (- 3.0 x)))

simplify123.0ms

Algorithm
egg-herbie
Counts
566 → 566
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
022897191
150027095

prune875.0ms

Filtered
566 candidates to 374 candidates (33.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New5660566
Fresh022
Picked011
Done011
Total5664570

Merged error: 0b

Counts
570 → 4

regimes46.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample433.0ms

Algorithm
intervals
Results
265.0ms10604×body80valid