Details

sample103.0ms

Algorithm

intervals

Results

47.0ms	101×	body	1280	valid
23.0ms	83×	body	640	valid
11.0ms	270×	body	80	nan
7.0ms	40×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	10×	body	80	valid

simplify60.0ms

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	56	12
5	78	12
6	93	12
7	101	12
done	101	12

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 57.7b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite23.0ms

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:

8.0ms	(/ (+ 1.0 x) (- 1.0 x))
11.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.2s

Counts

88 → 88

Iterations

Useful iterations: 3 (477.0ms)

Iter	Nodes	Cost
0	142	1276
1	318	1217
2	822	1148
3	2337	1106
done	5001	1106

prune167.0ms

Filtered

60 candidates to 88 candidates (-46.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	82	6	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	6	89

Merged error: 0.2b

Counts

89 → 6

localize14.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune18.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Merged error: 0.2b

Counts

6 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
0.0b	(exp (/ (+ 1.0 x) (- 1.0 x)))
0.0b	(log (exp (/ (+ 1.0 x) (- 1.0 x))))
7.6b	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
80×	`times-frac`
78×	`exp-prod`
55×	`log-pow`
47×	`add-cube-cbrt`
33×	`log-prod`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
5×	`associate-/r*` `add-log-exp`
4×	`flip3--` `flip--` `div-inv` `associate-/l*`
2×	`rem-log-exp` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

4 → 156

Calls

4 calls:

9.0ms	(/ (+ 1.0 x) (- 1.0 x))
9.0ms	(exp (/ (+ 1.0 x) (- 1.0 x)))
11.0ms	(log (exp (/ (+ 1.0 x) (- 1.0 x))))
11.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (+ 1.0 x) (- 1.0 x))
9.0ms	(exp (/ (+ 1.0 x) (- 1.0 x)))
3.0ms	(log (exp (/ (+ 1.0 x) (- 1.0 x))))
6.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

simplify1.4s

Counts

168 → 168

Iterations

Useful iterations: 3 (663.0ms)

Iter	Nodes	Cost
0	218	2308
1	405	2046
2	983	1918
3	2704	1861
done	5000	1861

prune287.0ms

Filtered

113 candidates to 168 candidates (-48.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	168	6	174

Merged error: 0.2b

Counts

174 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.6b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
7.6b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
80×	`times-frac`
58×	`log-prod`
52×	`sqrt-prod`
48×	`add-cube-cbrt`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `associate-/r*`
8×	`pow1` `associate-/r/` `add-cbrt-cube` `associate-/l*`
6×	`log-pow`
4×	`flip3--` `flip--` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `log-div` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `div-exp` `rem-log-exp` `clear-num` `flip-+`

Counts

4 → 172

Calls

4 calls:

9.0ms	(/ (+ 1.0 x) (- 1.0 x))
9.0ms	(/ (+ 1.0 x) (- 1.0 x))
9.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
12.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (+ 1.0 x) (- 1.0 x))
3.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
8.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify1.7s

Counts

184 → 184

Iterations

Useful iterations: 3 (966.0ms)

Iter	Nodes	Cost
0	196	2956
1	367	2822
2	934	2568
3	2654	2526
done	5001	2526

prune410.0ms

Filtered

122 candidates to 184 candidates (-50.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	181	3	184
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	182	8	190

Merged error: 0.2b

Counts

190 → 8

regimes130.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.6s	3416×	body	1280	valid
671.0ms	2438×	body	640	valid
325.0ms	8022×	body	80	nan
215.0ms	1252×	body	320	valid
74.0ms	673×	body	160	valid
11.0ms	221×	body	80	valid

Details

sample103.0ms

simplify60.0ms

prune2.0ms

localize8.0ms

rewrite23.0ms

series9.0ms

simplify1.2s

prune167.0ms

localize14.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune18.0ms

localize12.0ms

rewrite49.0ms

series21.0ms

simplify1.4s

prune287.0ms

localize11.0ms

rewrite46.0ms

series21.0ms

simplify1.7s

prune410.0ms

regimes130.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.2s

Profiling