Details

Time bar (total: 17.5s)

sample60.0ms

Algorithm
intervals
Results
24.0ms112×body5120exit
7.0ms204×body80valid
4.0ms126×body80overflowed
3.0ms27×body320valid
2.0ms13×body640valid
1.0ms12×body160valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 5 (156.0ms)

IterNodesCost
0816
12015
24815
310515
419014
563212
6244512
done500012

prune9.0ms

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: 12.0b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- wj (/ x (exp wj))) (+ wj 1))
0.2b
(/ x (exp wj))
4.2b
(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
49×*-un-lft-identity
39×times-frac
23×add-cube-cbrt
12×difference-of-squares
9×associate-/l*
7×associate-/r* add-cbrt-cube distribute-lft-out
6×add-exp-log distribute-lft-out--
5×add-log-exp
3×pow1
2×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num associate-/r/ flip-- div-inv associate-/l/
1×sub-neg flip3-+ diff-log flip-+ associate--r-
Counts
3 → 94
Calls
3 calls:
12.0ms
(/ (- wj (/ x (exp wj))) (+ wj 1))
5.0ms
(/ x (exp wj))
17.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ (- wj (/ x (exp wj))) (+ wj 1))
8.0ms
(/ x (exp wj))
14.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

simplify1.6s

Counts
103 → 103
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01741576
14081496
29431436
325261433
done50011430

prune136.0ms

Filtered
75 candidates to 103 candidates (-37.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New985103
Fresh101
Picked101
Done000
Total1005105

Merged error: 0.4b

Counts
105 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (pow wj 2) x)
0.0b
(* 2 (* wj x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×*-un-lft-identity
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 30
Calls
2 calls:
5.0ms
(+ (pow wj 2) x)
8.0ms
(* 2 (* wj x))

series8.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (pow wj 2) x)
4.0ms
(* 2 (* wj x))

simplify4.1s

Counts
36 → 36
Iterations

Useful iterations: 3 (298.0ms)

IterNodesCost
057283
1152257
2473229
31284227
43010227
done5001227

prune68.0ms

Filtered
24 candidates to 36 candidates (-50.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh044
Picked011
Done000
Total33841

Merged error: 0.4b

Counts
41 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (pow wj 2) x))
0.5b
(cbrt (+ (pow wj 2) x))
0.5b
(cbrt (+ (pow wj 2) x))
0.5b
(* (cbrt (+ (pow wj 2) x)) (cbrt (+ (pow wj 2) x)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
5.0ms
(cbrt (+ (pow wj 2) x))
5.0ms
(cbrt (+ (pow wj 2) x))
5.0ms
(cbrt (+ (pow wj 2) x))
15.0ms
(* (cbrt (+ (pow wj 2) x)) (cbrt (+ (pow wj 2) x)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt (+ (pow wj 2) x))
18.0ms
(cbrt (+ (pow wj 2) x))
18.0ms
(cbrt (+ (pow wj 2) x))
24.0ms
(* (cbrt (+ (pow wj 2) x)) (cbrt (+ (pow wj 2) x)))

simplify2.6s

Counts
107 → 107
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
01181716
12401515
26001396
316861211
444581188
done50001188

prune297.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh066
Picked101
Done011
Total1069115

Merged error: 0.4b

Counts
115 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ x (exp wj)) (+ wj 1))
0.0b
(/ wj (+ wj 1))
0.2b
(/ x (exp wj))
5.6b
(- wj (/ wj (+ wj 1)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
108×*-un-lft-identity
75×add-sqr-sqrt
70×add-cube-cbrt
19×associate-/l*
18×distribute-lft-out
13×add-cbrt-cube
11×add-exp-log associate-/r*
8×div-inv
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1 associate-/r/
3×frac-2neg clear-num
2×flip3-+ flip-+ difference-of-squares
1×sub-neg flip3-- diff-log flip-- associate-/l/ distribute-lft-out--
Counts
4 → 161
Calls
4 calls:
9.0ms
(/ (/ x (exp wj)) (+ wj 1))
6.0ms
(/ wj (+ wj 1))
5.0ms
(/ x (exp wj))
12.0ms
(- wj (/ wj (+ wj 1)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ (/ x (exp wj)) (+ wj 1))
6.0ms
(/ wj (+ wj 1))
8.0ms
(/ x (exp wj))
3.0ms
(- wj (/ wj (+ wj 1)))

simplify2.5s

Counts
173 → 173
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
02552336
15772195
214832109
344352100
done50002100

prune205.0ms

Filtered
126 candidates to 173 candidates (-37.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1712173
Fresh617
Picked011
Done011
Total1775182

Merged error: 0.1b

Counts
182 → 5

regimes97.0ms

Accuracy

81.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 1.1b

bsearch18.0ms

Steps
ItersRangePoint
7
1.1764544588561992e-06
6.274218779895055e-05
6.136070326796556e-05

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02862
13762
done3762

end0.0ms

sample1.9s

Algorithm
intervals
Results
889.0ms3849×body5120exit
236.0ms6341×body80valid
141.0ms3976×body80overflowed
88.0ms768×body320valid
74.0ms432×body640valid
39.0ms534×body160valid

Profiling

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