Details

Time bar (total: 4.0s)

sample44.0ms

Algorithm
intervals
Results
21.0ms371×body80valid
6.0ms131×body80nan

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.1b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* a (pow k m))
2.1b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
12×add-sqr-sqrt
9×add-cbrt-cube
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×prod-exp
4×unpow-prod-down div-exp
3×times-frac associate-*l* associate-/r* unswap-sqr
2×pow1 cbrt-undiv pow-to-exp pow-exp associate-/r/ cbrt-unprod add-log-exp sqr-pow
1×frac-2neg flip3-+ clear-num *-commutative flip-+ div-inv associate-/l*
Counts
2 → 50
Calls
2 calls:
5.0ms
(* a (pow k m))
9.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series182.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* a (pow k m))
124.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify52.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0363449
11838395
25002392

prune133.0ms

Filtered
56 candidates to 42 candidates (75.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New54256
Fresh011
Picked101
Done000
Total55358

Merged error: 2.1b

Counts
58 → 3

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* k (+ 10.0 k))
0.2b
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
2.1b
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
45×times-frac
38×*-un-lft-identity
36×add-cube-cbrt
30×associate-*l*
22×unpow-prod-down
20×add-exp-log
12×add-cbrt-cube
8×sqr-pow
7×pow1 associate-*r* associate-/l*
6×div-exp
5×prod-exp unswap-sqr
4×associate-/r/
3×flip3-+ associate-/r* cbrt-unprod flip-+ add-log-exp
2×cbrt-undiv pow-to-exp associate-*r/ pow-prod-down pow-exp *-commutative div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in associate-*l/ clear-num distribute-lft-out
Counts
3 → 120
Calls
3 calls:
6.0ms
(* k (+ 10.0 k))
10.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
14.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series219.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* k (+ 10.0 k))
71.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
106.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify70.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06081105
125231041
250011035

prune279.0ms

Filtered
129 candidates to 98 candidates (76.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1272129
Fresh112
Picked011
Done000
Total1284132

Merged error: 2.1b

Counts
132 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (pow k m) a)
0.0b
(* k (+ 10.0 k))
2.1b
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
17×add-sqr-sqrt
12×*-un-lft-identity add-cbrt-cube
10×add-cube-cbrt associate-*l*
7×associate-*r* prod-exp
5×pow1
4×unpow-prod-down div-exp unswap-sqr
3×times-frac associate-/r* cbrt-unprod add-log-exp
2×cbrt-undiv pow-to-exp flip3-+ associate-*r/ pow-exp associate-/r/ *-commutative flip-+ sqr-pow
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num div-inv distribute-lft-out associate-/l*
Counts
3 → 73
Calls
3 calls:
6.0ms
(* (pow k m) a)
6.0ms
(* k (+ 10.0 k))
11.0ms
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

series250.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(* (pow k m) a)
42.0ms
(* k (+ 10.0 k))
104.0ms
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0439492
12038440
25002436

prune160.0ms

Filtered
82 candidates to 57 candidates (69.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New81182
Fresh112
Picked011
Done011
Total82486

Merged error: 2.1b

Counts
86 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* k (+ 10.0 k))
0.0b
(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
14.9b
(sqrt (+ (* k (+ 10.0 k)) 1.0))
14.9b
(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
66×sqrt-prod
59×add-sqr-sqrt
57×*-un-lft-identity
55×add-cube-cbrt
22×add-exp-log
20×sqrt-div
16×associate-/r/
15×add-cbrt-cube
12×associate-/l*
11×flip3-+ flip-+
9×div-exp
8×pow1 div-inv
6×associate-/r*
5×cbrt-undiv
4×associate-*r* prod-exp add-log-exp
3×associate-*l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ cbrt-unprod
1×distribute-rgt-in pow-to-exp frac-2neg distribute-lft-in pow-prod-down pow-exp clear-num *-commutative associate-/l/ distribute-lft-out unswap-sqr
Counts
4 → 164
Calls
4 calls:
11.0ms
(* k (+ 10.0 k))
20.0ms
(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
6.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
6.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

series245.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* k (+ 10.0 k))
103.0ms
(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
53.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
47.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify101.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07682681
134012411
250022411

prune542.0ms

Filtered
176 candidates to 107 candidates (60.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1760176
Fresh011
Picked011
Done022
Total1764180

Merged error: 2.1b

Counts
180 → 4

regimes59.0ms

Accuracy

0% (0.0b remaining)

Error of 1.8b against oracle of 1.8b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample1.3s

Algorithm
intervals
Results
711.0ms12026×body80valid
202.0ms4152×body80nan