Details

sample73.0ms

Algorithm

intervals

Results

49.0ms	269×	body	10240	exit
6.0ms	199×	body	80	valid
2.0ms	24×	body	320	valid
2.0ms	15×	body	640	valid
1.0ms	21×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (135.0ms)

Iter	Nodes	Cost
0	8	16
1	20	15
2	48	15
3	105	15
4	190	14
5	632	12
6	2451	12
done	5000	12

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ (- (/ x (exp wj)) wj) (+ wj 1))
6.1b	(+ (/ (- (/ x (exp wj)) wj) (+ wj 1)) wj)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
38×	`times-frac`
23×	`add-cube-cbrt`
10×	`difference-of-squares`
9×	`associate-/l*`
8×	`distribute-lft-out`
7×	`associate-/r*` `add-cbrt-cube`
6×	`add-exp-log`
5×	`distribute-lft-out--` `add-log-exp`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `associate-/r/` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3--` `sum-log` `flip--`

Counts

3 → 91

Calls

3 calls:

3.0ms	(/ x (exp wj))
33.0ms	(/ (- (/ x (exp wj)) wj) (+ wj 1))
83.0ms	(+ (/ (- (/ x (exp wj)) wj) (+ wj 1)) wj)

series123.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ x (exp wj))
43.0ms	(/ (- (/ x (exp wj)) wj) (+ wj 1))
54.0ms	(+ (/ (- (/ x (exp wj)) wj) (+ wj 1)) wj)

simplify1.4s

Counts

100 → 100

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	169	1488
1	404	1420
2	925	1357
3	2471	1347
done	5000	1346

prune212.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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	(+ x (pow wj 2))
6.0ms	(* 2 (* wj x))

series48.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (pow wj 2))
19.0ms	(* 2 (* wj x))

simplify3.6s

Counts

36 → 36

Iterations

Useful iterations: 3 (273.0ms)

Iter	Nodes	Cost
0	57	283
1	152	259
2	483	231
3	1297	227
4	2992	227
done	5000	227

prune85.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (exp wj)) (+ wj 1))
7.0b	(- (/ wj (+ wj 1)) wj)

rewrite58.0ms

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:

3.0ms	(/ x (exp wj))
6.0ms	(/ wj (+ wj 1))
12.0ms	(/ (/ x (exp wj)) (+ wj 1))
30.0ms	(- (/ wj (+ wj 1)) wj)

series115.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ x (exp wj))
21.0ms	(/ wj (+ wj 1))
43.0ms	(/ (/ x (exp wj)) (+ wj 1))
26.0ms	(- (/ wj (+ wj 1)) wj)

simplify2.2s

Counts

173 → 173

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	254	2328
1	575	2191
2	1472	2101
3	4293	2090
done	5000	2090

prune581.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ (/ x (exp wj)) (+ wj 1))
0.0b	(- (pow wj 3) (+ (pow wj 4) (pow wj 2)))
0.0b	(+ (pow wj 4) (pow wj 2))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

106×	`times-frac`
96×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
16×	`distribute-lft-out` `associate-/l*`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-exp-log`
7×	`associate-/r*` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp` `difference-of-squares`
2×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `unpow-prod-down` `flip3--` `cube-prod` `flip--` `associate-/l/` `associate--r+` `sqr-pow`

Counts

4 → 145

Calls

4 calls:

3.0ms	(/ x (exp wj))
13.0ms	(/ (/ x (exp wj)) (+ wj 1))
31.0ms	(- (pow wj 3) (+ (pow wj 4) (pow wj 2)))
9.0ms	(+ (pow wj 4) (pow wj 2))

series168.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ x (exp wj))
41.0ms	(/ (/ x (exp wj)) (+ wj 1))
28.0ms	(- (pow wj 3) (+ (pow wj 4) (pow wj 2)))
71.0ms	(+ (pow wj 4) (pow wj 2))

simplify789.0ms

Counts

157 → 157

Iterations

Useful iterations: done (785.0ms)

Iter	Nodes	Cost
0	242	2345
1	592	2188
2	1603	2094
done	5000	2089

prune475.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes61.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	21
1	22	21
done	22	21

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.4s	7583×	body	10240	exit
194.0ms	6253×	body	80	valid
75.0ms	803×	body	320	valid
67.0ms	463×	body	640	valid
34.0ms	557×	body	160	valid