Details

Time bar (total: 5.4s)

sample35.0ms

Algorithm
intervals
Results
14.0ms363×body80valid
5.0ms155×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)

Merged error: 3.0b

localize9.0ms

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))
2.7b
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite62.0ms

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:
10.0ms
(* k (+ 10.0 k))
12.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
35.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series214.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(* k (+ 10.0 k))
69.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
104.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify76.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06081105
125231041
250011035

prune514.0ms

Filtered
129 candidates to 98 candidates (76.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 2.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
2.7b
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
15.5b
(sqrt (+ (* k (+ 10.0 k)) 1.0))
15.5b
(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
1148×times-frac
607×add-sqr-sqrt
583×sqrt-prod
553×add-cube-cbrt *-un-lft-identity
294×associate-*l*
238×unpow-prod-down
82×sqr-pow
48×associate-/l*
34×sqrt-div
30×add-exp-log associate-/r/
18×add-cbrt-cube
17×flip3-+ flip-+
15×div-inv unswap-sqr
14×div-exp
8×pow1
6×cbrt-undiv associate-/r*
5×prod-exp
4×add-log-exp
3×associate-*r* cbrt-unprod
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 721
Calls
4 calls:
40.0ms
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
142.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
11.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
8.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

series271.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
105.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
47.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
56.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify153.0ms

Algorithm
egg-herbie
Counts
733 → 733
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0175413231
1500211898

prune1.7s

Filtered
733 candidates to 398 candidates (54.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 2.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
0.1b
(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
15.5b
(sqrt (+ (* k (+ 10.0 k)) 1.0))
15.5b
(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
54×times-frac
48×associate-*l*
38×add-cube-cbrt *-un-lft-identity
36×sqrt-prod
30×add-exp-log
20×unpow-prod-down
18×add-cbrt-cube
11×div-exp
8×pow1 sqrt-div prod-exp sqr-pow
7×unswap-sqr
6×associate-/r*
5×cbrt-undiv
4×flip3-+ associate-/r/ cbrt-unprod flip-+ add-log-exp
3×associate-*r*
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ pow-exp div-inv
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
4 → 138
Calls
4 calls:
21.0ms
(/ (* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
42.0ms
(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
8.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
8.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

series405.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
202.0ms
(* (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
46.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
53.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06611633
126171512
250011452

prune426.0ms

Filtered
150 candidates to 112 candidates (74.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 2.9b

regimes54.0ms

Accuracy

0% (0.1b remaining)

Error of 2.1b against oracle of 2.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01712
11712

end0.0ms

sample956.0ms

Algorithm
intervals
Results
465.0ms11828×body80valid
141.0ms4193×body80nan