Details

Time bar (total: 4.6s)

analyze976.0ms

Algorithm
search

sample41.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
10.0ms92×body80invalid
2.0ms51×body80nan

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.3b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* 10.0 k))
0.0b
(* a (pow k m))
0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
2.3b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
14×add-sqr-sqrt
11×add-cbrt-cube add-log-exp
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×prod-exp
4×pow1 unpow-prod-down div-exp sum-log
3×flip3-+ times-frac associate-*l* associate-/r* flip-+ unswap-sqr
2×cbrt-undiv +-commutative pow-to-exp pow-exp associate-/r/ cbrt-unprod sqr-pow
1×associate-+l+ frac-2neg clear-num *-commutative div-inv associate-/l*
Counts
4 → 74
Calls
4 calls:
2.0ms
(+ 1.0 (* 10.0 k))
5.0ms
(* a (pow k m))
4.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
8.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1.0 (* 10.0 k))
14.0ms
(* a (pow k m))
5.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
32.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify58.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0471611
12227545
25002538

prune123.0ms

Filtered
63 candidates to 86 candidates (-36.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New81586
Fresh101
Picked101
Done000
Total83588

Merged error: 2.3b

Counts
88 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* k (+ 10.0 k))
0.0b
(* a (pow k m))
2.3b
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
17×add-sqr-sqrt
12×*-un-lft-identity add-cbrt-cube
11×associate-*r*
10×add-cube-cbrt
7×prod-exp
6×associate-*l*
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
(* k (+ 10.0 k))
7.0ms
(* a (pow k m))
6.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

series50.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* k (+ 10.0 k))
14.0ms
(* a (pow k m))
32.0ms
(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

simplify61.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0460505
12306453
25001448

prune103.0ms

Filtered
56 candidates to 82 candidates (-46.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New80282
Fresh134
Picked011
Done000
Total81687

Merged error: 2.3b

Counts
87 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
0.1b
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
13.5b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
13.5b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite35.0ms

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:
5.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
15.0ms
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
6.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
32.0ms
(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
3.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify90.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07383111
132652780
250022777

prune277.0ms

Filtered
101 candidates to 166 candidates (-64.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1651166
Fresh134
Picked011
Done011
Total1666172

Merged error: 2.3b

Counts
172 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

1.4b
(exp (log (+ 1.0 (* k (+ 10.0 k)))))
13.5b
(sqrt (exp (log (+ 1.0 (* k (+ 10.0 k))))))
13.5b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.6b
(log (+ 1.0 (* k (+ 10.0 k))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×log-prod
9×pow1 sqrt-prod
8×exp-prod
7×exp-sum
6×log-div sqrt-pow1
5×add-exp-log
4×flip3-+ exp-diff sqrt-div add-cbrt-cube flip-+ add-log-exp
3×rem-sqrt-square log-pow
2×pow1/2
1×rem-log-exp rem-exp-log
Counts
4 → 69
Calls
4 calls:
3.0ms
(exp (log (+ 1.0 (* k (+ 10.0 k)))))
4.0ms
(sqrt (exp (log (+ 1.0 (* k (+ 10.0 k))))))
4.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
2.0ms
(log (+ 1.0 (* k (+ 10.0 k))))

series14.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(exp (log (+ 1.0 (* k (+ 10.0 k)))))
4.0ms
(sqrt (exp (log (+ 1.0 (* k (+ 10.0 k))))))
3.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms
(log (+ 1.0 (* k (+ 10.0 k))))

simplify36.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0332602
11113560
25001539

prune151.0ms

Filtered
63 candidates to 81 candidates (-28.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh033
Picked011
Done022
Total81687

Merged error: 2.3b

Counts
87 → 6

regimes169.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

analyze977.0ms

Algorithm
search

sample1.1s

Algorithm
intervals
Results
505.0ms8000×body80valid
259.0ms3238×body80invalid
91.0ms2025×body80nan

Profiling

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