Details

sample83.0ms

Algorithm

intervals

Results

42.0ms	106×	body	1280	valid
18.0ms	83×	body	640	valid
5.0ms	238×	body	80	nan
5.0ms	40×	body	320	valid
1.0ms	21×	body	160	valid
0.0ms	6×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	15	8
2	20	8
3	23	8
done	23	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.4b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite40.0ms

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-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
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` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

27.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
121.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	147	1318
1	355	1247
2	881	1184
3	2180	1154
done	5001	1137

prune182.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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

prune3.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ 1.0 eps) (- 1.0 eps))
0.0b	(/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))
6.4b	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

316×	`times-frac`
286×	`*-un-lft-identity`
204×	`add-sqr-sqrt`
138×	`add-cube-cbrt`
83×	`log-prod`
41×	`distribute-lft-out`
33×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-/r*`
28×	`add-exp-log`
18×	`associate-/r/`
15×	`div-exp`
10×	`add-cbrt-cube` `div-inv`
8×	`flip3--` `flip--`
7×	`rem-log-exp` `associate-/l*`
6×	`pow1`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `log-pow` `log1p-expm1-u` `add-log-exp`
2×	`pow-flip` `frac-2neg` `clear-num` `associate-/l/` `inv-pow`
1×	`log-div` `flip3-+` `log-rec` `flip-+`

Counts

3 → 281

Calls

3 calls:

24.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
27.0ms	(/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))
16.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

series185.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
32.0ms	(/ 1 (/ (+ 1.0 eps) (- 1.0 eps)))
119.0ms	(log (/ 1 (/ (+ 1.0 eps) (- 1.0 eps))))

simplify2.0s

Counts

290 → 290

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	348	5337
1	820	4358
2	1746	4005
3	4397	3745
done	5000	3744

prune257.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (+ 1.0 eps) (- 1.0 eps)))
0.0b	(sqrt (/ (+ 1.0 eps) (- 1.0 eps)))
6.6b	(log (sqrt (/ (+ 1.0 eps) (- 1.0 eps))))
6.6b	(log (sqrt (/ (+ 1.0 eps) (- 1.0 eps))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
104×	`sqrt-prod`
84×	`add-sqr-sqrt`
82×	`times-frac`
58×	`log-prod`
46×	`add-cube-cbrt`
20×	`distribute-lft-out`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`pow1`
8×	`associate-/r/`
6×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `sqrt-div` `add-cbrt-cube` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`log-div` `rem-log-exp`

Counts

4 → 166

Calls

4 calls:

17.0ms	(sqrt (/ (+ 1.0 eps) (- 1.0 eps)))
20.0ms	(sqrt (/ (+ 1.0 eps) (- 1.0 eps)))
10.0ms	(log (sqrt (/ (+ 1.0 eps) (- 1.0 eps))))
11.0ms	(log (sqrt (/ (+ 1.0 eps) (- 1.0 eps))))

series532.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(sqrt (/ (+ 1.0 eps) (- 1.0 eps)))
87.0ms	(sqrt (/ (+ 1.0 eps) (- 1.0 eps)))
178.0ms	(log (sqrt (/ (+ 1.0 eps) (- 1.0 eps))))
179.0ms	(log (sqrt (/ (+ 1.0 eps) (- 1.0 eps))))

simplify1.3s

Counts

178 → 178

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	194	3144
1	359	2942
2	831	2702
3	2149	2618
done	5000	2606

prune413.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes38.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
done	9	16

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3417×	body	1280	valid
525.0ms	2485×	body	640	valid
164.0ms	7910×	body	80	nan
147.0ms	1233×	body	320	valid
47.0ms	652×	body	160	valid
7.0ms	213×	body	80	valid