Details

sample97.0ms

Algorithm

intervals

Results

50.0ms	110×	body	1280	valid
19.0ms	79×	body	640	valid
6.0ms	41×	body	320	valid
6.0ms	228×	body	80	nan
2.0ms	19×	body	160	valid
0.0ms	7×	body	80	valid

simplify72.0ms

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	102	12
7	106	12
done	106	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.4b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite36.0ms

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:

23.0ms	(/ (+ 1.0 x) (- 1.0 x))
10.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
123.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.2s

Counts

88 → 88

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	142	1276
1	319	1221
2	803	1150
3	1966	1108
done	5000	1104

prune191.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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

prune7.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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))
5.4b	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))
5.4b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

rewrite135.0ms

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:

52.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
19.0ms	(* x (+ 1.0 x))
12.0ms	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))
31.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

series231.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
44.0ms	(* x (+ 1.0 x))
65.0ms	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))
71.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

simplify1.0s

Counts

311 → 311

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	367	6917
1	814	6324
2	2095	6184
done	5001	6086

prune637.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 1.0 x))
1.2b	(log (- (pow 1.0 3) (pow x 3)))
5.4b	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))
5.4b	(log (+ 1.0 x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
32×	`log-prod`
23×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
9×	`pow1` `add-exp-log` `add-cube-cbrt`
8×	`sqr-pow`
6×	`log-div` `add-cbrt-cube`
5×	`distribute-lft-out--`
4×	`associate-r` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `associate-l` `log-pow` `flip-+`
2×	`associate-*r/` `distribute-lft-out`
1×	`difference-cubes` `distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

22.0ms	(* x (+ 1.0 x))
19.0ms	(log (- (pow 1.0 3) (pow x 3)))
13.0ms	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))
4.0ms	(log (+ 1.0 x))

series415.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* x (+ 1.0 x))
259.0ms	(log (- (pow 1.0 3) (pow x 3)))
65.0ms	(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))
41.0ms	(log (+ 1.0 x))

simplify2.2s

Counts

100 → 100

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	214	1374
1	481	1265
2	1262	1167
3	4203	1156
done	5002	1154

prune284.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes25.0ms

Accuracy

0% (0.5b 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	13	20
1	18	20
done	18	20

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.5s	3432×	body	1280	valid
612.0ms	2484×	body	640	valid
218.0ms	7863×	body	80	nan
184.0ms	1241×	body	320	valid
63.0ms	648×	body	160	valid
8.0ms	195×	body	80	valid