Details

Time bar (total: 4.0s)

sample53.0ms

Algorithm
intervals
Results
31.0ms395×body80valid
5.0ms112×body80nan

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.1b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* 10.0 k))
0.0b
(* a (pow k m))
3.1b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×add-sqr-sqrt
10×add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×prod-exp
5×add-log-exp
4×unpow-prod-down div-exp
3×pow1 times-frac associate-*l* associate-/r* unswap-sqr
2×cbrt-undiv pow-to-exp flip3-+ pow-exp associate-/r/ cbrt-unprod flip-+ sqr-pow
1×+-commutative frac-2neg clear-num sum-log *-commutative div-inv associate-/l*
Counts
3 → 61
Calls
3 calls:
3.0ms
(+ 1.0 (* 10.0 k))
5.0ms
(* a (pow k m))
8.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series212.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ 1.0 (* 10.0 k))
63.0ms
(* a (pow k m))
117.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify65.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0422500
12032446
25003443

prune148.0ms

Filtered
70 candidates to 52 candidates (74.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh011
Picked101
Done000
Total69372

Merged error: 3.1b

Counts
72 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (* 10.0 k))
3.1b
(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
84×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×unpow-prod-down
25×associate-/r*
12×add-exp-log sqr-pow
7×div-exp add-cbrt-cube
5×div-inv
4×add-log-exp
3×cbrt-undiv associate-/l*
2×pow1
1×+-commutative pow-to-exp frac-2neg flip3-+ pow-exp clear-num sum-log associate-/r/ flip-+
Counts
2 → 131
Calls
2 calls:
3.0ms
(+ 1.0 (* 10.0 k))
10.0ms
(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ 1.0 (* 10.0 k))
124.0ms
(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

simplify97.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07621940
135991878
250021878

prune321.0ms

Filtered
137 candidates to 108 candidates (78.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1370137
Fresh022
Picked011
Done000
Total1373140

Merged error: 3.1b

Counts
140 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* k (+ 10.0 k))
0.3b
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
2.8b
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite37.0ms

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))
13.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
13.0ms
(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series215.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* k (+ 10.0 k))
63.0ms
(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
104.0ms
(* (/ (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

prune259.0ms

Filtered
129 candidates to 98 candidates (76.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh011
Picked011
Done011
Total1293132

Merged error: 3.1b

Counts
132 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* 10.0 k))
0.0b
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
15.2b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
15.2b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite37.0ms

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
8×div-inv
6×pow1 associate-/r* add-log-exp
5×cbrt-undiv
3×prod-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×+-commutative pow-to-exp frac-2neg pow-exp clear-num sum-log cbrt-unprod associate-/l/
Counts
4 → 152
Calls
4 calls:
3.0ms
(+ 1.0 (* 10.0 k))
20.0ms
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
4.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ 1.0 (* 10.0 k))
116.0ms
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
54.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
46.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify90.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07453067
132212757
250012745

prune343.0ms

Filtered
164 candidates to 102 candidates (62.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1640164
Fresh000
Picked011
Done022
Total1643167

Merged error: 3.1b

Counts
167 → 3

regimes54.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 1.9b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample1.4s

Algorithm
intervals
Results
828.0ms12007×body80valid
187.0ms4310×body80nan

Profiling

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