Details

sample74.0ms

Algorithm

intervals

Results

50.0ms	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

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (82.0ms)

Iter	Nodes	Cost
0	8	16
1	20	15
2	48	15
3	105	15
4	195	14
5	533	12
6	3015	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)

rewrite122.0ms

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))
34.0ms	(/ (- (/ x (exp wj)) wj) (+ wj 1))
81.0ms	(+ (/ (- (/ x (exp wj)) wj) (+ wj 1)) wj)

series121.0ms

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)

simplify998.0ms

Counts

100 → 100

Iterations

Useful iterations: done (996.0ms)

Iter	Nodes	Cost
0	169	1488
1	404	1420
2	1157	1357
done	5000	1345

prune214.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+l+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

7.0ms	(* wj (- wj (* 2 x)))
5.0ms	(+ (* wj (- wj (* 2 x))) x)

series69.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* wj (- wj (* 2 x)))
22.0ms	(+ (* wj (- wj (* 2 x))) x)

simplify1.3s

Counts

45 → 45

Iterations

Useful iterations: 3 (372.0ms)

Iter	Nodes	Cost
0	71	519
1	188	487
2	595	445
3	2651	439
done	5001	439

prune90.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- wj (* 2 x)))
0.6b	(cbrt (- wj (* 2 x)))
0.6b	(cbrt (- wj (* 2 x)))
0.6b	(* (cbrt (- wj (* 2 x))) (cbrt (- wj (* 2 x))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

1.0ms	(cbrt (- wj (* 2 x)))
1.0ms	(cbrt (- wj (* 2 x)))
1.0ms	(cbrt (- wj (* 2 x)))
14.0ms	(* (cbrt (- wj (* 2 x))) (cbrt (- wj (* 2 x))))

series601.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (- wj (* 2 x)))
151.0ms	(cbrt (- wj (* 2 x)))
155.0ms	(cbrt (- wj (* 2 x)))
135.0ms	(* (cbrt (- wj (* 2 x))) (cbrt (- wj (* 2 x))))

simplify1.6s

Counts

99 → 99

Iterations

Useful iterations: 3 (523.0ms)

Iter	Nodes	Cost
0	129	1635
1	274	1504
2	772	1418
3	2995	1281
done	5000	1281

prune285.0ms

Pruning

9 alts after pruning (7 fresh and 2 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)

rewrite56.0ms

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))
5.0ms	(/ wj (+ wj 1))
10.0ms	(/ (/ x (exp wj)) (+ wj 1))
32.0ms	(- (/ wj (+ wj 1)) wj)

series115.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ x (exp wj))
21.0ms	(/ wj (+ wj 1))
44.0ms	(/ (/ x (exp wj)) (+ wj 1))
25.0ms	(- (/ wj (+ wj 1)) wj)

simplify827.0ms

Counts

173 → 173

Iterations

Useful iterations: done (817.0ms)

Iter	Nodes	Cost
0	254	2328
1	575	2191
2	1946	2101
done	5000	2099

prune390.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes47.0ms

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	16	20
1	20	20
done	20	20

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.4s	7583×	body	10240	exit
201.0ms	6253×	body	80	valid
79.0ms	803×	body	320	valid
67.0ms	463×	body	640	valid
35.0ms	557×	body	160	valid