Details

sample223.0ms

Algorithm

intervals

Results

121.0ms	107×	body	1280	valid
35.0ms	74×	body	640	valid
19.0ms	283×	body	80	nan
14.0ms	50×	body	320	valid
3.0ms	18×	body	160	valid
1.0ms	7×	body	80	valid

simplify232.0ms

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	122	12
7	143	12
8	151	12
done	151	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.1b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite90.0ms

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:

52.0ms	(/ (+ 1.0 x) (- 1.0 x))
28.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series303.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (+ 1.0 x) (- 1.0 x))
235.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.4s

Counts

92 → 92

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	146	1310
1	345	1243
2	1355	1184
done	5001	1165

prune493.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

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

prune10.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.1b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
5.1b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite167.0ms

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×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `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 → 180

Calls

4 calls:

48.0ms	(/ (+ 1.0 x) (- 1.0 x))
44.0ms	(/ (+ 1.0 x) (- 1.0 x))
20.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
40.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series1.0s

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (+ 1.0 x) (- 1.0 x))
59.0ms	(/ (+ 1.0 x) (- 1.0 x))
452.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
452.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify1.6s

Counts

192 → 192

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	192	2936
1	363	2786
2	1332	2608
done	5000	2566

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize75.0ms

Local error

Found 4 expressions with local error:

5.1b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
5.1b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
5.1b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
5.1b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

120×	`*-un-lft-identity`
116×	`log-prod`
104×	`sqrt-prod`
80×	`add-sqr-sqrt` `times-frac`
48×	`add-cube-cbrt`
20×	`distribute-lft-out`
16×	`distribute-lft-out--` `difference-of-squares`
12×	`pow1` `log-pow`
8×	`add-exp-log` `associate-/r/`
4×	`expm1-log1p-u` `log-div` `flip3--` `sqrt-pow1` `pow1/2` `sqrt-div` `rem-log-exp` `add-cbrt-cube` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 172

Calls

4 calls:

27.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
21.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
22.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
22.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series1.8s

Counts

4 → 12

Calls

4 calls:

454.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
461.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
454.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
445.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify2.9s

Counts

184 → 184

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	157	3288
1	248	3108
2	684	2872
3	3454	2828
done	5000	2824

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes61.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	22
1	15	22
done	15	22

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.0s	3403×	body	1280	valid
2.3s	2556×	body	640	valid
863.0ms	8118×	body	80	nan
480.0ms	1265×	body	320	valid
169.0ms	610×	body	160	valid
14.0ms	166×	body	80	valid