Details

Time bar (total: 3.9s)

sample37.0ms

Algorithm
intervals
Results
14.0ms367×body80valid
4.0ms133×body80nan

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* 10.0 k))
0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
1.9b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log
10×add-log-exp
8×add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×div-exp sum-log
3×pow1 flip3-+ times-frac prod-exp associate-/r* flip-+
2×cbrt-undiv +-commutative associate-/r/
1×pow-to-exp associate-+l+ frac-2neg pow-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
3 → 49
Calls
3 calls:
5.0ms
(+ 1.0 (* 10.0 k))
21.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
34.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ 1.0 (* 10.0 k))
16.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
110.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify50.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0404484
11787427
25001418

prune137.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* k (+ 10.0 k))
1.9b
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log
9×add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 div-exp associate-*r* prod-exp
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ associate-*r/ associate-/r/ cbrt-unprod flip-+ add-log-exp
1×distribute-rgt-in pow-to-exp frac-2neg distribute-lft-in pow-prod-down pow-exp clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 48
Calls
2 calls:
21.0ms
(* k (+ 10.0 k))
15.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

series146.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* k (+ 10.0 k))
107.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

simplify51.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0395378
11868335
25002332

prune121.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt k)
0.6b
(cbrt k)
0.6b
(cbrt k)
1.9b
(/ (* a (pow k m)) (+ 1.0 (* (* (cbrt k) (cbrt k)) (* (cbrt k) (+ 10.0 k)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×pow1 div-exp add-log-exp
3×times-frac pow1/3 prod-exp associate-/r*
2×cbrt-undiv associate-/r/
1×pow-to-exp frac-2neg flip3-+ pow-exp clear-num cbrt-unprod flip-+ div-inv associate-/l*
Counts
4 → 58
Calls
4 calls:
1.0ms
(cbrt k)
1.0ms
(cbrt k)
1.0ms
(cbrt k)
15.0ms
(/ (* a (pow k m)) (+ 1.0 (* (* (cbrt k) (cbrt k)) (* (cbrt k) (+ 10.0 k)))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt k)
169.0ms
(cbrt k)
169.0ms
(cbrt k)
151.0ms
(/ (* a (pow k m)) (+ 1.0 (* (* (cbrt k) (cbrt k)) (* (cbrt k) (+ 10.0 k)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0351595
11590515
25002504

prune205.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
15.0b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
15.0b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
66×sqrt-prod
55×add-sqr-sqrt
53×add-cube-cbrt *-un-lft-identity
20×add-exp-log sqrt-div
16×associate-/r/
13×add-cbrt-cube
12×associate-/l*
11×flip3-+ flip-+
9×div-exp add-log-exp
8×div-inv
6×pow1 associate-/r*
5×cbrt-undiv
3×prod-exp sum-log
2×rem-sqrt-square sqrt-pow1 pow1/2
1×+-commutative pow-to-exp associate-+l+ frac-2neg pow-exp clear-num cbrt-unprod associate-/l/
Counts
4 → 154
Calls
4 calls:
21.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
71.0ms
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
23.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
21.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series220.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
114.0ms
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
43.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
47.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify86.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07283104
132212772
250012769

prune408.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.9b

regimes52.0ms

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
473.0ms11821×body80valid
140.0ms4195×body80nan