Details

sample149.0ms

Algorithm

intervals

Results

79.0ms	106×	body	1280	valid
29.0ms	82×	body	640	valid
12.0ms	267×	body	80	nan
9.0ms	44×	body	320	valid
3.0ms	20×	body	160	valid
0.0ms	4×	body	80	valid

simplify512.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.8b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite61.0ms

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:

39.0ms	(/ (+ 1.0 x) (- 1.0 x))
16.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series216.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (+ 1.0 x) (- 1.0 x))
170.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify894.0ms

Counts

92 → 92

Iterations

Useful iterations: done (888.0ms)

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

prune297.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

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

prune8.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
60.8b	(log (expm1 (log1p (/ (+ 1.0 x) (- 1.0 x)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`add-exp-log` `associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `associate-/l*`
3×	`pow1` `log-prod`
2×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `log-pow` `flip--` `flip-+` `div-inv`

Counts

2 → 61

Calls

2 calls:

30.0ms	(/ (+ 1.0 x) (- 1.0 x))
1.0ms	(log (expm1 (log1p (/ (+ 1.0 x) (- 1.0 x)))))

series316.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (+ 1.0 x) (- 1.0 x))
271.0ms	(log (expm1 (log1p (/ (+ 1.0 x) (- 1.0 x)))))

simplify1.5s

Counts

67 → 67

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	167	1096
1	410	994
2	1845	908
done	5000	893

prune220.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
6.8b	(log (+ 1.0 x))
6.8b	(log (- 1.0 x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`pow1` `log-prod`
16×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
8×	`log-div`
6×	`distribute-lft-out--`
5×	`add-exp-log` `associate--r+`
4×	`fma-neg` `associate--l+`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 87

Calls

3 calls:

31.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
10.0ms	(log (+ 1.0 x))
9.0ms	(log (- 1.0 x))

series581.0ms

Counts

3 → 9

Calls

3 calls:

443.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
65.0ms	(log (+ 1.0 x))
73.0ms	(log (- 1.0 x))

simplify1.5s

Counts

96 → 96

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	166	1541
1	390	1253
2	1441	1050
done	5000	927

prune304.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

regimes17.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	20	25
done	20	25

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.7s	3384×	body	1280	valid
1.7s	2535×	body	640	valid
575.0ms	7950×	body	80	nan
317.0ms	1260×	body	320	valid
137.0ms	612×	body	160	valid
15.0ms	209×	body	80	valid