Details

sample203.0ms

Algorithm

intervals

Results

91.0ms	114×	body	1280	valid
36.0ms	78×	body	640	valid
22.0ms	16×	body	160	valid
17.0ms	262×	body	80	nan
12.0ms	42×	body	320	valid
0.0ms	6×	body	80	valid

simplify140.0ms

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	65	12
5	96	12
6	118	12
7	126	12
8	128	12
done	128	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize17.0ms

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)))

rewrite73.0ms

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×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

51.0ms	(/ (+ 1.0 x) (- 1.0 x))
14.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series255.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (+ 1.0 x) (- 1.0 x))
197.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.1s

Counts

92 → 92

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	146	1310
1	335	1243
2	851	1182
3	2166	1136
done	5000	1134

prune336.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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

prune6.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
5.5b	(log (sqrt (+ 1.0 x)))
5.6b	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
70×	`times-frac`
52×	`sqrt-prod`
48×	`log-prod`
45×	`add-cube-cbrt`
15×	`distribute-lft-out--` `difference-of-squares`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`pow1`
7×	`associate-/l*`
6×	`sqrt-div` `add-cbrt-cube`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-/r/` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `rem-log-exp` `flip-+`
2×	`flip3--` `sqrt-pow1` `pow1/2` `div-exp` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `clear-num` `hypot-def`

Counts

4 → 160

Calls

4 calls:

15.0ms	(sqrt (+ 1.0 x))
40.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))
13.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

series571.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sqrt (+ 1.0 x))
129.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
121.0ms	(log (sqrt (+ 1.0 x)))
276.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

simplify1.2s

Counts

172 → 172

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	269	2682
1	591	2462
2	1521	2316
done	5000	2274

prune542.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
0.0b	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
5.5b	(log (sqrt (+ 1.0 x)))
5.6b	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
74×	`add-sqr-sqrt`
70×	`times-frac`
48×	`log-prod` `sqrt-prod`
44×	`add-cube-cbrt`
15×	`distribute-lft-out--` `difference-of-squares`
12×	`distribute-lft-out`
10×	`add-exp-log`
7×	`pow1` `associate-/l*`
6×	`add-cbrt-cube`
5×	`associate-/r*` `log1p-expm1-u`
4×	`expm1-log1p-u` `sqrt-div` `associate-/r/` `log-pow` `add-log-exp`
3×	`log-div` `rem-log-exp`
2×	`flip3--` `flip3-+` `div-exp` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `expm1-log1p` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `expm1-udef`

Counts

4 → 152

Calls

4 calls:

1.0ms	(expm1 (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
24.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))
21.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

series916.0ms

Counts

4 → 12

Calls

4 calls:

378.0ms	(expm1 (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
134.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
109.0ms	(log (sqrt (+ 1.0 x)))
296.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

simplify1.0s

Counts

164 → 164

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	302	2799
1	693	2584
2	1908	2404
done	5001	2339

prune503.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes35.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	14	20
done	14	20

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.5s	3498×	body	1280	valid
1.1s	2438×	body	640	valid
865.0ms	7984×	body	80	nan
319.0ms	1245×	body	320	valid
86.0ms	619×	body	160	valid
13.0ms	200×	body	80	valid