Details

Time bar (total: 6.9s)

sample39.0ms

Algorithm
intervals
Results
14.0ms401×body80valid
5.0ms157×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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
14×add-sqr-sqrt
11×add-cbrt-cube add-log-exp
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×prod-exp
4×pow1 unpow-prod-down div-exp sum-log
3×flip3-+ times-frac associate-*l* associate-/r* flip-+ unswap-sqr
2×cbrt-undiv +-commutative pow-to-exp pow-exp associate-/r/ cbrt-unprod sqr-pow
1×associate-+l+ frac-2neg clear-num *-commutative div-inv associate-/l*
Counts
4 → 74
Calls
4 calls:
5.0ms
(+ 1.0 (* 10.0 k))
11.0ms
(* a (pow k m))
20.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
34.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ 1.0 (* 10.0 k))
58.0ms
(* a (pow k m))
18.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
126.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify56.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0457599
12146533
25001526

prune216.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 2.1b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
18×add-sqr-sqrt
13×*-un-lft-identity add-cbrt-cube
11×add-cube-cbrt associate-*r*
7×prod-exp
6×pow1 associate-*l* add-log-exp
4×unpow-prod-down div-exp unswap-sqr
3×flip3-+ times-frac associate-/r* cbrt-unprod flip-+
2×cbrt-undiv distribute-rgt-in pow-to-exp associate-+r+ distribute-lft-in associate-*r/ pow-exp associate-/r/ *-commutative sqr-pow
1×+-commutative frac-2neg pow-prod-down clear-num sum-log div-inv distribute-lft-out associate-/l*
Counts
4 → 86
Calls
4 calls:
6.0ms
(+ 1.0 (* k (+ 10.0 k)))
11.0ms
(* a (pow k m))
22.0ms
(* k (+ 10.0 k))
15.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

series263.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ 1.0 (* k (+ 10.0 k)))
60.0ms
(* a (pow k m))
51.0ms
(* k (+ 10.0 k))
124.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

simplify62.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0472573
12358514
25001513

prune407.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* k (+ 10.0 k))
0.0b
(* a (pow k m))
0.1b
(/ 1 (/ (+ 1.0 (* k (+ 10.0 k))) (* a (pow k m))))
2.2b
(/ (+ 1.0 (* k (+ 10.0 k))) (* a (pow k m)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
36×times-frac
34×add-sqr-sqrt
29×*-un-lft-identity
27×add-cube-cbrt
26×div-exp
22×add-cbrt-cube
16×prod-exp
11×associate-*r*
8×associate-/r*
7×pow1 cbrt-undiv
6×associate-*l* div-inv associate-/l*
5×pow-to-exp rec-exp 1-exp pow-exp
4×unpow-prod-down cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg flip3-+ associate-*r/ clear-num *-commutative flip-+ associate-/l/ sqr-pow
1×distribute-rgt-in pow-flip distribute-lft-in pow-prod-down associate-/r/ distribute-lft-out inv-pow
Counts
4 → 135
Calls
4 calls:
19.0ms
(* k (+ 10.0 k))
11.0ms
(* a (pow k m))
20.0ms
(/ 1 (/ (+ 1.0 (* k (+ 10.0 k))) (* a (pow k m))))
30.0ms
(/ (+ 1.0 (* k (+ 10.0 k))) (* a (pow k m)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* k (+ 10.0 k))
62.0ms
(* a (pow k m))
105.0ms
(/ 1 (/ (+ 1.0 (* k (+ 10.0 k))) (* a (pow k m))))
106.0ms
(/ (+ 1.0 (* k (+ 10.0 k))) (* a (pow k m)))

simplify86.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
06751232
135921093
250021053

prune278.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 2.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* k (+ 10.0 k))
0.0b
(/ (/ a (sqrt (+ 1.0 (* k (+ 10.0 k))))) (/ (sqrt (+ 1.0 (* k (+ 10.0 k)))) (pow k m)))
12.4b
(sqrt (+ 1.0 (* k (+ 10.0 k))))
12.4b
(sqrt (+ 1.0 (* k (+ 10.0 k))))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
3000×times-frac
1298×add-sqr-sqrt
1296×*-un-lft-identity
1294×add-cube-cbrt
954×sqrt-prod
450×unpow-prod-down
150×sqr-pow
98×sqrt-div
95×associate-/r/
73×div-inv
50×flip3-+ flip-+
46×associate-/r*
30×add-exp-log
24×associate-/l*
18×div-exp add-cbrt-cube
8×pow1 cbrt-undiv
4×associate-*r* add-log-exp
3×associate-*l*
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ distribute-lft-out unswap-sqr
Counts
4 → 1251
Calls
4 calls:
19.0ms
(* k (+ 10.0 k))
55.0ms
(/ (/ a (sqrt (+ 1.0 (* k (+ 10.0 k))))) (/ (sqrt (+ 1.0 (* k (+ 10.0 k)))) (pow k m)))
5.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))
5.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))

series298.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* k (+ 10.0 k))
125.0ms
(/ (/ a (sqrt (+ 1.0 (* k (+ 10.0 k))))) (/ (sqrt (+ 1.0 (* k (+ 10.0 k)))) (pow k m)))
56.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))
48.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))

simplify321.0ms

Algorithm
egg-herbie
Counts
1263 → 1263
Iterations

Useful iterations: 1 (72.0ms)

IterNodesCost
0487633645
1500132673

prune2.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 2.1b

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 2.0b against oracle of 2.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample1.1s

Algorithm
intervals
Results
448.0ms12068×body80valid
141.0ms4430×body80nan