Details

sample160.0ms

Algorithm

intervals

Results

73.0ms	102×	body	1280	valid
36.0ms	83×	body	640	valid
13.0ms	248×	body	80	nan
13.0ms	45×	body	320	valid
3.0ms	18×	body	160	valid
1.0ms	8×	body	80	valid

simplify102.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite38.0ms

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×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

27.0ms	(/ (+ 1.0 x) (- 1.0 x))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series212.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (+ 1.0 x) (- 1.0 x))
155.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify644.0ms

Counts

88 → 88

Iterations

Useful iterations: done (639.0ms)

Iter	Nodes	Cost
0	142	1276
1	330	1217
2	1320	1150
done	5000	1137

prune440.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune11.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize33.0ms

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))
5.6b	(log (+ (* 1.0 1.0) (* x (+ 1.0 x))))
5.6b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

rewrite190.0ms

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--` `div-exp` `associate-*r/` `log-pow` `div-inv` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 299

Calls

4 calls:

87.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
28.0ms	(* x (+ 1.0 x))
10.0ms	(log (+ (* 1.0 1.0) (* x (+ 1.0 x))))
41.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

series276.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
56.0ms	(* x (+ 1.0 x))
79.0ms	(log (+ (* 1.0 1.0) (* x (+ 1.0 x))))
90.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

simplify2.1s

Counts

311 → 311

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	368	6917
1	850	6326
2	3539	6182
done	5001	6179

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
5.6b	(log (/ (+ 1.0 x) (- 1.0 x)))
5.6b	(log (/ (+ 1.0 x) (- 1.0 x)))
5.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
78×	`log-prod`
60×	`times-frac`
59×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `add-cbrt-cube` `log-pow` `add-log-exp`
3×	`log-div` `flip3--` `div-exp` `div-inv` `flip--`
1×	`pow1/3`

Counts

4 → 123

Calls

4 calls:

5.0ms	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
10.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series884.0ms

Counts

4 → 12

Calls

4 calls:

371.0ms	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
164.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
156.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
193.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify569.0ms

Counts

135 → 135

Iterations

Useful iterations: done (559.0ms)

Iter	Nodes	Cost
0	160	2248
1	354	2131
2	1156	1998
done	5000	1886

prune595.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes177.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	19	22
done	19	22

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.0s	3486×	body	1280	valid
1.2s	2438×	body	640	valid
855.0ms	1248×	body	320	valid
550.0ms	7876×	body	80	nan
97.0ms	615×	body	160	valid
16.0ms	213×	body	80	valid