Details

sample99.0ms

Algorithm

intervals

Results

53.0ms	114×	body	1280	valid
18.0ms	75×	body	640	valid
7.0ms	232×	body	80	nan
4.0ms	29×	body	320	valid
3.0ms	30×	body	160	valid
0.0ms	8×	body	80	valid

simplify65.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	24	12
3	39	12
4	58	12
5	81	12
6	97	12
7	105	12
done	105	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.3b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

13.0ms	(/ (+ 1.0 x) (- 1.0 x))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series175.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (+ 1.0 x) (- 1.0 x))
140.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.3s

Counts

88 → 88

Iterations

Useful iterations: 3 (376.0ms)

Iter	Nodes	Cost
0	142	1276
1	316	1221
2	941	1150
3	4141	1108
done	5000	1108

prune220.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite45.0ms

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:

37.0ms

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

series80.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

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

simplify1.3s

Counts

113 → 113

Iterations

Useful iterations: 2 (278.0ms)

Iter	Nodes	Cost
0	220	1482
1	531	1293
2	2552	1087
done	5001	1087

prune330.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
0.0b	(* x (+ 1.0 x))
7.3b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
7.3b	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

286×	`add-sqr-sqrt`
262×	`*-un-lft-identity`
200×	`times-frac`
144×	`difference-of-squares`
109×	`log-prod`
108×	`unpow-prod-down` `cube-prod`
72×	`sqr-pow`
68×	`add-cube-cbrt`
52×	`distribute-lft-out`
45×	`distribute-lft-out--`
25×	`associate-/r*`
12×	`add-exp-log`
9×	`difference-cubes`
8×	`pow1` `add-cbrt-cube`
4×	`associate-r` `associate-/r/` `associate-/l*` `add-log-exp`
3×	`log-div` `flip3-+` `rem-log-exp` `associate-l` `flip-+`
2×	`flip3--` `associate-*r/` `div-exp` `log-pow` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 299

Calls

4 calls:

37.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
9.0ms	(* x (+ 1.0 x))
21.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
5.0ms	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
43.0ms	(* x (+ 1.0 x))
71.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
65.0ms	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))

simplify1.1s

Counts

311 → 311

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	367	6917
1	821	6324
2	2653	6184
done	5000	6183

prune803.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 1.0 x))
0.0b	(* x (+ 1.0 x))
7.3b	(log (/ (/ (+ x 1.0) (+ (* x (+ 1.0 x)) (* 1.0 1.0))) (- 1.0 x)))
7.3b	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
138×	`*-un-lft-identity`
108×	`add-sqr-sqrt`
99×	`log-prod`
68×	`add-cube-cbrt`
18×	`distribute-lft-out--` `difference-of-squares`
17×	`distribute-lft-out`
15×	`add-exp-log`
12×	`associate-/r/`
10×	`pow1`
8×	`flip3-+` `associate-r` `add-cbrt-cube` `flip-+`
6×	`associate-l` `div-inv`
4×	`associate-*r/` `rem-log-exp` `add-log-exp`
3×	`log-div` `div-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

4 → 168

Calls

4 calls:

22.0ms	(* x (+ 1.0 x))
15.0ms	(* x (+ 1.0 x))
24.0ms	(log (/ (/ (+ x 1.0) (+ (* x (+ 1.0 x)) (* 1.0 1.0))) (- 1.0 x)))
8.0ms	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))

series282.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* x (+ 1.0 x))
45.0ms	(* x (+ 1.0 x))
106.0ms	(log (/ (/ (+ x 1.0) (+ (* x (+ 1.0 x)) (* 1.0 1.0))) (- 1.0 x)))
81.0ms	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))

simplify1.2s

Counts

180 → 180

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	387	4902
1	878	4682
2	3164	4361
done	5000	4360

prune538.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

regimes47.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	21	24
done	21	24

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	3451×	body	1280	valid
647.0ms	2505×	body	640	valid
255.0ms	8120×	body	80	nan
195.0ms	1227×	body	320	valid
56.0ms	599×	body	160	valid
10.0ms	218×	body	80	valid