Details

sample72.0ms

Algorithm

intervals

Results

42.0ms	75×	body	1280	valid
11.0ms	42×	body	640	valid
4.0ms	30×	body	320	valid
3.0ms	96×	body	80	valid
1.0ms	69×	body	80	nan
1.0ms	13×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4
done	5	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.8b

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b	(log (+ 1.0 x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

5.0ms

(log (+ 1.0 x))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(log (+ 1.0 x))

simplify1.2s

Counts

18 → 18

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	58	178
1	123	171
2	378	151
3	1338	151
done	5000	146

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

64.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series98.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify1.5s

Counts

113 → 113

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	222	1482
1	613	1283
2	2942	1023
done	5001	1022

prune394.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
1.9b	(log (- (* 1.0 1.0) (* x x)))
4.4b	(log (- 1.0 x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
15×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`add-exp-log` `flip3--` `flip--` `associate--r+` `difference-of-squares`
4×	`associate--l+`
3×	`add-cbrt-cube` `add-log-exp`
2×	`associate--l-` `rem-log-exp` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 61

Calls

3 calls:

22.0ms	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
16.0ms	(log (- (* 1.0 1.0) (* x x)))
9.0ms	(log (- 1.0 x))

series351.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)))
137.0ms	(log (- (* 1.0 1.0) (* x x)))
50.0ms	(log (- 1.0 x))

simplify789.0ms

Counts

70 → 70

Iterations

Useful iterations: done (786.0ms)

Iter	Nodes	Cost
0	151	1085
1	365	1003
2	1474	918
done	5001	905

prune190.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.1b	(* 1/3 (/ (pow x 3) (pow 1.0 3)))
9.0b	(- (+ (* 1/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (* 1.0 (pow x 2)))

rewrite583.0ms

Algorithm

rewrite-expression-head

Rules

240×	`times-frac`
216×	`associate-r`
188×	`add-sqr-sqrt`
136×	`unpow-prod-down`
112×	`add-cube-cbrt` `*-un-lft-identity`
80×	`cube-prod`
56×	`sqr-pow`
50×	`add-exp-log`
34×	`unswap-sqr`
24×	`cube-mult` `unpow3` `unpow2`
20×	`prod-exp`
18×	`div-exp`
15×	`add-log-exp`
14×	`add-cbrt-cube`
12×	`pow-to-exp` `pow-exp`
8×	`pow1`
6×	`associate-l`
4×	`sum-log` `cbrt-unprod`
3×	`diff-log`
2×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+`

Counts

4 → 326

Calls

4 calls:

9.0ms	(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
41.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
87.0ms	(* 1/3 (/ (pow x 3) (pow 1.0 3)))
426.0ms	(- (+ (* 1/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (* 1.0 (pow x 2)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
69.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
107.0ms	(* 1/3 (/ (pow x 3) (pow 1.0 3)))
110.0ms	(- (+ (* 1/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (* 1.0 (pow x 2)))

simplify813.0ms

Counts

338 → 338

Iterations

Useful iterations: done (799.0ms)

Iter	Nodes	Cost
0	512	4894
1	1507	4155
done	5001	3585

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 21.7b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	23	25
done	23	25

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.6s	2223×	body	1280	valid
580.0ms	1635×	body	640	valid
149.0ms	2883×	body	80	valid
145.0ms	854×	body	320	valid
102.0ms	2664×	body	80	nan
41.0ms	405×	body	160	valid