Details

Time bar (total: 4.6s)

sample37.0ms

Algorithm
intervals
Results
16.0ms390×body80valid
5.0ms144×body80nan

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b
(* a (pow k m))
2.2b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×add-sqr-sqrt
10×add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity add-log-exp
7×associate-*r*
6×prod-exp
4×unpow-prod-down div-exp
3×pow1 times-frac associate-*l* associate-/r* sum-log unswap-sqr
2×cbrt-undiv pow-to-exp flip3-+ pow-exp associate-/r/ cbrt-unprod flip-+ sqr-pow
1×+-commutative associate-+l+ frac-2neg clear-num *-commutative div-inv associate-/l*
Counts
3 → 63
Calls
3 calls:
9.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
5.0ms
(* a (pow k m))
13.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
57.0ms
(* a (pow k m))
117.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify52.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0405548
11965482
25001475

prune187.0ms

Filtered
72 candidates to 53 candidates (73.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b
(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
2.2b
(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
180×times-frac
101×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×unpow-prod-down
32×associate-/r*
18×add-exp-log
16×sqr-pow
10×div-exp add-cbrt-cube
8×add-log-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1 sum-log
2×pow-to-exp frac-2neg flip3-+ pow-exp clear-num flip-+ associate-/l/
1×+-commutative associate-+l+ associate-/r/
Counts
3 → 180
Calls
3 calls:
9.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
24.0ms
(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
17.0ms
(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
63.0ms
(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
119.0ms
(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

simplify102.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08322562
140052439
250022430

prune539.0ms

Filtered
189 candidates to 150 candidates (79.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (pow k m))
0.0b
(* k (+ 10.0 k))
0.3b
(/ 1 (+ 1.0 (* k (+ 10.0 k))))
2.2b
(* (* a (pow k m)) (/ 1 (+ 1.0 (* k (+ 10.0 k)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
32×prod-exp
31×add-sqr-sqrt
26×*-un-lft-identity associate-*r*
24×add-cube-cbrt
22×add-cbrt-cube
18×times-frac
10×div-exp
9×pow1
8×cbrt-unprod
7×associate-*l*
5×pow-to-exp rec-exp 1-exp pow-exp
4×unpow-prod-down associate-/r/ add-log-exp unswap-sqr
3×cbrt-undiv flip3-+ associate-*r/ associate-/r* *-commutative flip-+ associate-/l*
2×pow-prod-down div-inv sqr-pow
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in clear-num un-div-inv distribute-lft-out inv-pow
Counts
4 → 128
Calls
4 calls:
5.0ms
(* a (pow k m))
9.0ms
(* k (+ 10.0 k))
4.0ms
(/ 1 (+ 1.0 (* k (+ 10.0 k))))
16.0ms
(* (* a (pow k m)) (/ 1 (+ 1.0 (* k (+ 10.0 k)))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* a (pow k m))
45.0ms
(* k (+ 10.0 k))
33.0ms
(/ 1 (+ 1.0 (* k (+ 10.0 k))))
117.0ms
(* (* a (pow k m)) (/ 1 (+ 1.0 (* k (+ 10.0 k)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0634958
13411839
25001812

prune282.0ms

Filtered
140 candidates to 81 candidates (57.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k)))))
2.2b
(* (* a (pow k m)) (/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
17.3b
(sqrt (+ 1.0 (* k (+ 10.0 k))))
17.3b
(sqrt (+ 1.0 (* k (+ 10.0 k))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
522×times-frac
276×add-sqr-sqrt
274×add-cube-cbrt *-un-lft-identity
270×sqrt-prod
150×associate-*r*
83×add-exp-log
35×prod-exp
34×sqrt-div
30×div-exp associate-/r/ add-cbrt-cube
24×associate-/l*
17×flip3-+ flip-+
15×pow1 div-inv
9×cbrt-undiv cbrt-unprod
6×sqrt-pow1 pow1/2 associate-/r* pow-div
5×pow-to-exp rec-exp pow-flip 1-exp pow-exp
4×add-log-exp
2×rem-sqrt-square
1×frac-2neg associate-*r/ associate-*l* pow-prod-down clear-num *-commutative associate-/l/ inv-pow
Counts
4 → 416
Calls
4 calls:
16.0ms
(/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k)))))
54.0ms
(* (* a (pow k m)) (/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
2.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))
3.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k)))))
115.0ms
(* (* a (pow k m)) (/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
53.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))
46.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))

simplify86.0ms

Algorithm
egg-herbie
Counts
428 → 428
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015457058
150016074

prune826.0ms

Filtered
428 candidates to 198 candidates (46.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.1b

regimes78.0ms

Accuracy

0% (0.1b remaining)

Error of 2.4b against oracle of 2.3b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209
1209

end0.0ms

sample1.0s

Algorithm
intervals
Results
505.0ms11972×body80valid
144.0ms4238×body80nan