Details

sample85.0ms

Algorithm

intervals

Results

46.0ms	114×	body	1280	valid
16.0ms	75×	body	640	valid
7.0ms	232×	body	80	nan
4.0ms	29×	body	320	valid
2.0ms	29×	body	160	valid
0.0ms	9×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 57.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

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-/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:

11.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
128.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: 3 (407.0ms)

Iter	Nodes	Cost
0	147	1318
1	353	1247
2	1054	1184
3	4612	1154
done	5000	1154

prune195.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

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

prune12.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
7.3b	(log (+ 1.0 eps))
7.3b	(log (- 1.0 eps))

rewrite17.0ms

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--l+`
4×	`fma-neg` `associate--r+`
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:

9.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
2.0ms	(log (+ 1.0 eps))
3.0ms	(log (- 1.0 eps))

series533.0ms

Counts

3 → 9

Calls

3 calls:

445.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
41.0ms	(log (+ 1.0 eps))
47.0ms	(log (- 1.0 eps))

simplify450.0ms

Counts

96 → 96

Iterations

Useful iterations: done (447.0ms)

Iter	Nodes	Cost
0	168	1543
1	384	1250
2	1130	1050
done	5000	1007

prune153.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

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

prune0.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes15.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	20
1	17	20
done	17	20

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3452×	body	1280	valid
542.0ms	2507×	body	640	valid
173.0ms	8120×	body	80	nan
152.0ms	1225×	body	320	valid
44.0ms	599×	body	160	valid
8.0ms	217×	body	80	valid