Details

Time bar (total: 6.5s)

sample56.0ms

Algorithm
intervals
Results
29.0ms396×body80valid
8.0ms135×body80nan

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* k (+ 10.0 k))
0.5b
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.6b
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite54.0ms

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:
9.0ms
(* k (+ 10.0 k))
12.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
28.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series49.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* k (+ 10.0 k))
15.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
30.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify66.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06081105
125231041
250011035

prune906.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (pow k m) a)
0.0b
(* k (+ 10.0 k))
2.0b
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

rewrite27.0ms

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:
5.0ms
(* (pow k m) a)
9.0ms
(* k (+ 10.0 k))
11.0ms
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

series53.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* (pow k m) a)
3.0ms
(* k (+ 10.0 k))
30.0ms
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0439492
12038440
25002436

prune478.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* k (+ 10.0 k))
0.4b
(/ (pow k m) (/ (+ (* k (+ 10.0 k)) 1.0) a))
4.3b
(/ (+ (* k (+ 10.0 k)) 1.0) a)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
172×times-frac
99×add-sqr-sqrt *-un-lft-identity
97×add-cube-cbrt
42×unpow-prod-down
20×add-exp-log
16×associate-/r*
14×sqr-pow
12×add-cbrt-cube
10×div-exp div-inv associate-/l*
5×pow1
4×cbrt-undiv associate-*r*
3×associate-*l* add-log-exp
2×pow-to-exp frac-2neg flip3-+ associate-*r/ pow-exp clear-num flip-+ associate-/l/
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 182
Calls
3 calls:
9.0ms
(* k (+ 10.0 k))
13.0ms
(/ (pow k m) (/ (+ (* k (+ 10.0 k)) 1.0) a))
13.0ms
(/ (+ (* k (+ 10.0 k)) 1.0) a)

series43.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* k (+ 10.0 k))
30.0ms
(/ (pow k m) (/ (+ (* k (+ 10.0 k)) 1.0) a))
9.0ms
(/ (+ (* k (+ 10.0 k)) 1.0) a)

simplify99.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
08222192
139892117
250012117

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
0.0b
(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
16.6b
(sqrt (+ (* k (+ 10.0 k)) 1.0))
16.6b
(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
72×sqrt-prod
59×add-sqr-sqrt
57×add-cube-cbrt *-un-lft-identity
30×add-exp-log
22×sqrt-div
18×associate-/r/ add-cbrt-cube
13×div-exp associate-/l*
12×associate-/r*
11×flip3-+ flip-+
9×div-inv
7×cbrt-undiv
6×pow1 prod-exp
4×add-log-exp
2×pow-to-exp rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-exp clear-num cbrt-unprod
1×associate-/l/
Counts
4 → 172
Calls
4 calls:
13.0ms
(/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
28.0ms
(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
7.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
8.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

series80.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
30.0ms
(/ (/ (* (pow k m) a) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
4.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
4.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07512978
131472676
250012666

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.9b

regimes139.0ms

Accuracy

0% (0.0b remaining)

Error of 2.1b against oracle of 2.1b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample1.5s

Algorithm
intervals
Results
843.0ms11884×body80valid
269.0ms4145×body80nan