Details

Time bar (total: 2.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms348×body80valid

simplify46.0ms

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: 5.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.3b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
8×frac-times associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
2×expm1-log1p-u sub-neg log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 85
Calls
2 calls:
14.0ms
(* (- 1.0 x) (- 3.0 x))
13.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series69.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (- 1.0 x) (- 3.0 x))
46.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify91.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0497758
12837559
25002559

prune149.0ms

Filtered
91 candidates to 53 candidates (58.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New86591
Fresh000
Picked011
Done000
Total86692

Merged error: 0.0b

Counts
92 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
50×*-un-lft-identity
49×times-frac
30×add-cube-cbrt
19×associate-*r* associate-*l*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp associate-/l*
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv
2×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 104
Calls
2 calls:
6.0ms
(/ (- 1.0 x) y)
17.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series84.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (- 1.0 x) y)
50.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0500719
12101644
25003644

prune206.0ms

Filtered
110 candidates to 77 candidates (70.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1064110
Fresh314
Picked011
Done101
Total1106116

Merged error: 0b

Counts
116 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
159×add-sqr-sqrt
150×*-un-lft-identity
106×add-cube-cbrt
61×associate-*r*
22×distribute-lft-out-- difference-of-squares
19×associate-/l*
16×add-exp-log add-cbrt-cube
9×div-inv
6×cbrt-undiv div-exp
5×associate-*l*
4×pow1
3×prod-exp associate-/r* cbrt-unprod unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-sub associate-*l/ flip-- log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 188
Calls
2 calls:
9.0ms
(/ (/ (- 3.0 x) 3.0) y)
29.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series91.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (/ (- 3.0 x) 3.0) y)
45.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify118.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
07671545
139321461
250021458

prune369.0ms

Filtered
194 candidates to 143 candidates (73.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh044
Picked011
Done011
Total1946200

Merged error: 0b

Counts
200 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
53×*-un-lft-identity
37×add-cube-cbrt
34×times-frac
19×add-exp-log associate-*l* add-cbrt-cube
18×prod-diff
11×distribute-rgt-in distribute-lft-in
8×distribute-lft-out-- difference-of-squares
7×associate-/l/
6×cbrt-undiv div-exp associate-/r* associate-/l*
5×pow1 flip3-- associate-*r* flip--
4×frac-times associate-*r/ prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×sub-neg frac-2neg associate-*l/ clear-num unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
3 → 138
Calls
3 calls:
6.0ms
(/ (- 1.0 x) y)
17.0ms
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
13.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))

series126.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (- 1.0 x) y)
51.0ms
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
41.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))

simplify86.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06421097
13026880
25002874

prune214.0ms

Filtered
147 candidates to 92 candidates (62.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1470147
Fresh033
Picked011
Done022
Total1476153

Merged error: 0b

Counts
153 → 6

regimes83.0ms

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

sample415.0ms

Algorithm
intervals
Results
256.0ms10584×body80valid