Details

sample183.0ms

Algorithm

intervals

Results

79.0ms	94×	body	1280	valid
33.0ms	75×	body	640	valid
30.0ms	250×	body	80	nan
13.0ms	50×	body	320	valid
5.0ms	30×	body	160	valid
1.0ms	7×	body	80	valid

simplify143.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	61	12
5	88	12
6	106	12
7	121	12
8	123	12
done	123	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (+ 1.0 x) (- 1.0 x))
7.8b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite55.0ms

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:

31.0ms	(/ (+ 1.0 x) (- 1.0 x))
21.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series203.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (+ 1.0 x) (- 1.0 x))
152.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify680.0ms

Counts

88 → 88

Iterations

Useful iterations: done (676.0ms)

Iter	Nodes	Cost
0	142	1276
1	328	1221
2	1300	1152
done	5000	1139

prune267.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite73.0ms

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:

67.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: 2 (707.0ms)

Iter	Nodes	Cost
0	220	1482
1	609	1317
2	3145	1027
done	5000	1027

prune482.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3))
0.1b	(pow (/ (+ 1.0 x) (- 1.0 x)) 3)
0.1b	(/ (+ 1.0 x) (- 1.0 x))
7.8b	(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
140×	`times-frac`
137×	`add-sqr-sqrt`
116×	`cbrt-prod`
79×	`add-cube-cbrt`
78×	`unpow-prod-down` `cube-prod`
61×	`log-prod`
36×	`distribute-lft-out`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
10×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`flip3--` `flip--` `div-inv`
6×	`pow1`
5×	`associate-/r*`
4×	`associate-/l*` `add-log-exp`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `sqr-pow`
2×	`cbrt-undiv` `cbrt-div` `pow1/3` `div-exp` `pow-exp` `log-pow` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `log-div` `pow-pow` `frac-2neg` `flip3-+` `rem-log-exp` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

4 → 257

Calls

4 calls:

44.0ms	(cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3))
37.0ms	(pow (/ (+ 1.0 x) (- 1.0 x)) 3)
57.0ms	(/ (+ 1.0 x) (- 1.0 x))
48.0ms	(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3))
98.0ms	(pow (/ (+ 1.0 x) (- 1.0 x)) 3)
62.0ms	(/ (+ 1.0 x) (- 1.0 x))
204.0ms	(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

simplify2.4s

Counts

269 → 269

Iterations

Useful iterations: 2 (762.0ms)

Iter	Nodes	Cost
0	259	5178
1	772	4185
2	4320	3863
done	5000	3863

prune569.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize23.0ms

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))
8.0b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
8.0b	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))

rewrite138.0ms

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:

54.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
24.0ms	(* x (+ 1.0 x))
27.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
13.0ms	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
56.0ms	(* x (+ 1.0 x))
85.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
69.0ms	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))

simplify2.3s

Counts

311 → 311

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	367	6917
1	852	6324
2	3539	6186
done	5001	6185

prune974.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes101.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.2s	3380×	body	1280	valid
1.2s	2506×	body	640	valid
775.0ms	7919×	body	80	nan
730.0ms	1233×	body	320	valid
112.0ms	686×	body	160	valid
15.0ms	195×	body	80	valid