Details

sample104.0ms

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
1.0ms	10×	body	80	valid

simplify51.0ms

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	58	12
5	81	12
6	96	12
7	104	12
done	104	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)))

rewrite20.0ms

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (+ 1.0 x) (- 1.0 x))
10.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify593.0ms

Counts

88 → 88

Iterations

Useful iterations: 3 (239.0ms)

Iter	Nodes	Cost
0	142	1276
1	318	1217
2	857	1148
3	2449	1106
done	5000	1106

prune169.0ms

Filtered

58 candidates to 88 candidates (-51.7%)

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

localize13.0ms

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

prune15.0ms

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

localize11.0ms

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)))))

rewrite51.0ms

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))
10.0ms	(exp (/ (+ 1.0 x) (- 1.0 x)))
11.0ms	(log (exp (/ (+ 1.0 x) (- 1.0 x))))
13.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (+ 1.0 x) (- 1.0 x))
5.0ms	(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)))))

simplify655.0ms

Counts

168 → 168

Iterations

Useful iterations: 3 (286.0ms)

Iter	Nodes	Cost
0	218	2308
1	407	2046
2	1015	1918
3	2782	1861
done	5000	1861

prune292.0ms

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

localize10.0ms

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))))

rewrite48.0ms

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))
13.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
9.0ms	(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))
8.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
8.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify664.0ms

Counts

184 → 184

Iterations

Useful iterations: 3 (267.0ms)

Iter	Nodes	Cost
0	196	2956
1	367	2832
2	967	2576
3	2512	2498
done	5000	2498

prune409.0ms

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

regimes128.0ms

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

sample3.3s

Algorithm

intervals

Results

1.6s	3416×	body	1280	valid
683.0ms	2438×	body	640	valid
335.0ms	8022×	body	80	nan
220.0ms	1252×	body	320	valid
78.0ms	673×	body	160	valid
12.0ms	221×	body	80	valid

Details

sample104.0ms

simplify51.0ms

prune2.0ms

localize8.0ms

rewrite20.0ms

series13.0ms

simplify593.0ms

prune169.0ms

localize13.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune15.0ms

localize11.0ms

rewrite51.0ms

series17.0ms

simplify655.0ms

prune292.0ms

localize10.0ms

rewrite48.0ms

series21.0ms

simplify664.0ms

prune409.0ms

regimes128.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.3s

Profiling