Details

Time bar (total: 5.7s)

sample38.0ms

Algorithm
intervals
Results
17.0ms390×body80valid
5.0ms144×body80nan

simplify104.0ms

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: 2.2b

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

rewrite40.0ms

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:
6.0ms
(* k (+ 10.0 k))
10.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
19.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series215.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* k (+ 10.0 k))
70.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
103.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify70.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06081105
125231041
250011035

prune357.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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:
10.0ms
(* (pow k m) a)
6.0ms
(* k (+ 10.0 k))
10.0ms
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

series247.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(* (pow k m) a)
42.0ms
(* k (+ 10.0 k))
105.0ms
(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0439492
12038440
25002436

prune388.0ms

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

rewrite180.0ms

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:
33.0ms
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
66.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
6.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
7.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

series267.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
101.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
51.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
48.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify145.0ms

Algorithm
egg-herbie
Counts
733 → 733
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0175413231
1500211898

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.1b

localize15.0ms

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
45×times-frac
38×*-un-lft-identity
36×add-cube-cbrt
31×associate-*r*
22×unpow-prod-down
20×add-exp-log
12×add-cbrt-cube
8×sqr-pow
7×pow1 associate-/l*
6×div-exp associate-*l*
5×prod-exp unswap-sqr
4×associate-/r/
3×flip3-+ associate-*r/ associate-/r* cbrt-unprod flip-+ add-log-exp
2×cbrt-undiv pow-to-exp pow-prod-down pow-exp *-commutative div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num distribute-lft-out
Counts
3 → 120
Calls
3 calls:
7.0ms
(* k (+ 10.0 k))
10.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
16.0ms
(* a (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))

series226.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* k (+ 10.0 k))
65.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
117.0ms
(* a (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)))

simplify75.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06041115
128701051
250011051

prune376.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 2.1b

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample1.0s

Algorithm
intervals
Results
522.0ms11972×body80valid
154.0ms4238×body80nan