Details

Time bar (total: 12.3s)

sample58.0ms

Algorithm
intervals
Results
28.0ms361×body80valid
6.0ms124×body80nan

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
0247
1487
2966
32566
48916
539636
650026

prune13.0ms

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: 3.4b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* a (pow k m))
0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
3.4b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×add-sqr-sqrt
10×add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity add-log-exp
7×associate-*r*
6×prod-exp
4×unpow-prod-down div-exp
3×pow1 times-frac associate-*l* associate-/r* sum-log unswap-sqr
2×cbrt-undiv pow-to-exp flip3-+ pow-exp associate-/r/ cbrt-unprod flip-+ sqr-pow
1×+-commutative associate-+l+ frac-2neg clear-num *-commutative div-inv associate-/l*
Counts
3 → 63
Calls
3 calls:
5.0ms
(* a (pow k m))
5.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
8.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series50.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* a (pow k m))
2.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
34.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify55.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0419560
12045494
25001487

prune265.0ms

Filtered
72 candidates to 53 candidates (26.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New69372
Fresh101
Picked101
Done000
Total71374

Merged error: 3.3b

Counts
74 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
0.1b
(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
16.4b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.4b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
131×add-sqr-sqrt
110×times-frac
64×sqrt-prod
61×add-cube-cbrt *-un-lft-identity
48×associate-*r*
30×add-exp-log
24×unpow-prod-down associate-*l*
21×unswap-sqr
18×add-cbrt-cube
12×sqr-pow
11×div-exp
10×sqrt-div
8×pow1 prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 188
Calls
4 calls:
6.0ms
(/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
32.0ms
(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (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)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
31.0ms
(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
7.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify101.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
09243148
142872938
250012834

prune1.1s

Filtered
200 candidates to 132 candidates (34.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2000200
Fresh022
Picked011
Done000
Total2003203

Merged error: 3.3b

Counts
203 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt k)
0.6b
(cbrt k)
0.6b
(cbrt k)
3.4b
(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
30×prod-exp
16×div-exp
13×add-cbrt-cube
11×pow-exp
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×pow-to-exp
4×pow1 add-log-exp
3×cbrt-undiv times-frac pow1/3 associate-/r* cbrt-unprod
2×associate-/r/
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt k)
1.0ms
(cbrt k)
1.0ms
(cbrt k)
11.0ms
(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series168.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt k)
20.0ms
(cbrt k)
21.0ms
(cbrt k)
106.0ms
(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify57.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0514958
12357837
25002818

prune419.0ms

Filtered
83 candidates to 57 candidates (31.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done011
Total83386

Merged error: 3.3b

Counts
86 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
0.0b
(* k (+ 10.0 k))
0.3b
(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
5.2b
(/ (+ 1.0 (* k (+ 10.0 k))) a)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
1073×times-frac
500×add-sqr-sqrt *-un-lft-identity
498×add-cube-cbrt
198×unpow-prod-down
105×associate-/r*
70×add-exp-log
66×sqr-pow
51×div-exp
43×div-inv
22×add-cbrt-cube
19×associate-/l*
10×cbrt-undiv
8×pow-to-exp pow-exp
7×pow1 rec-exp 1-exp
4×associate-*r* add-log-exp
3×frac-2neg associate-*l* clear-num associate-/l/
2×flip3-+ associate-*r/ flip-+
1×distribute-rgt-in pow-flip distribute-lft-in pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod distribute-lft-out inv-pow unswap-sqr
Counts
4 → 602
Calls
4 calls:
9.0ms
(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
8.0ms
(* k (+ 10.0 k))
21.0ms
(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
5.0ms
(/ (+ 1.0 (* k (+ 10.0 k))) a)

series73.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
4.0ms
(* k (+ 10.0 k))
28.0ms
(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
13.0ms
(/ (+ 1.0 (* k (+ 10.0 k))) a)

simplify126.0ms

Algorithm
egg-herbie
Counts
614 → 614
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
022039184
150018752

prune7.6s

Filtered
614 candidates to 380 candidates (38.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New6131614
Fresh000
Picked011
Done022
Total6134617

Merged error: 3.3b

Counts
617 → 4

regimes163.0ms

Accuracy

0% (0.1b remaining)

Error of 2.3b against oracle of 2.2b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01814
11814

end0.0ms

sample1.6s

Algorithm
intervals
Results
823.0ms11771×body80valid
173.0ms4114×body80nan

Profiling

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