Details

sample123.0ms

Algorithm

intervals

Results

61.0ms	121×	body	1280	valid
22.0ms	74×	body	640	valid
11.0ms	281×	body	80	nan
6.0ms	36×	body	320	valid
3.0ms	20×	body	160	valid
0.0ms	5×	body	80	valid

simplify88.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	102
8	102
7	99
6	91
5	80
4	56
3	38
2	25
1	18
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite35.0ms

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:

19.0ms	(/ (+ 1.0 x) (- 1.0 x))
13.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series227.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (+ 1.0 x) (- 1.0 x))
183.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	2876
2	859
1	330
0	142

prune305.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune15.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (* (* (log (/ (+ 1.0 x) (- 1.0 x))) (log (/ (+ 1.0 x) (- 1.0 x)))) (log (/ (+ 1.0 x) (- 1.0 x)))))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
78×	`log-prod`
60×	`times-frac`
58×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
7×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3--` `div-exp` `log-pow` `div-inv` `flip--`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 121

Calls

4 calls:

19.0ms	(cbrt (* (* (log (/ (+ 1.0 x) (- 1.0 x))) (log (/ (+ 1.0 x) (- 1.0 x)))) (log (/ (+ 1.0 x) (- 1.0 x)))))
14.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
15.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
9.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series716.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt (* (* (log (/ (+ 1.0 x) (- 1.0 x))) (log (/ (+ 1.0 x) (- 1.0 x)))) (log (/ (+ 1.0 x) (- 1.0 x)))))
160.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
219.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
139.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.5s

Counts

133 → 133

Iterations

Iter	Nodes
done	5009
4	4522
3	1327
2	504
1	241
0	124

prune601.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

5.9b	(log (sqrt (- 1.0 x)))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))
6.1b	(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
98×	`log-prod`
72×	`times-frac`
69×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
25×	`sqrt-prod`
18×	`distribute-lft-out`
14×	`add-exp-log`
13×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1`
7×	`rem-log-exp`
6×	`associate-/r/` `log-pow`
5×	`log-div`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `flip--` `add-log-exp`
3×	`div-exp` `div-inv`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 144

Calls

4 calls:

5.0ms	(log (sqrt (- 1.0 x)))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
17.0ms	(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

series771.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(log (sqrt (- 1.0 x)))
175.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
165.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
300.0ms	(log (/ (+ 1.0 x) (sqrt (- 1.0 x))))

simplify2.3s

Counts

156 → 156

Iterations

Iter	Nodes
done	5020
3	3573
2	1105
1	506
0	260

prune995.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes65.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.2s	3336×	body	1280	valid
1.2s	2555×	body	640	valid
520.0ms	7989×	body	80	nan
424.0ms	1283×	body	320	valid
100.0ms	622×	body	160	valid
14.0ms	204×	body	80	valid