Details

sample110.0ms

Algorithm

intervals

Results

61.0ms	115×	body	1280	valid
20.0ms	78×	body	640	valid
8.0ms	288×	body	80	nan
7.0ms	43×	body	320	valid
1.0ms	14×	body	160	valid
0.0ms	6×	body	80	valid

simplify10.0ms

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: 58.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
3.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite47.0ms

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:

23.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
132.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

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

prune210.0ms

Pruning

4 alts after pruning (4 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

prune6.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ eps 1.0)))
3.7b	(log (- 1.0 eps))
3.7b	(log (+ eps 1.0))

rewrite53.0ms

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:

32.0ms	(- (log (- 1.0 eps)) (log (+ eps 1.0)))
9.0ms	(log (- 1.0 eps))
7.0ms	(log (+ eps 1.0))

series401.0ms

Counts

3 → 9

Calls

3 calls:

293.0ms	(- (log (- 1.0 eps)) (log (+ eps 1.0)))
57.0ms	(log (- 1.0 eps))
50.0ms	(log (+ eps 1.0))

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	175	1543
1	389	1253
2	962	1050
3	3083	925
done	5000	909

prune236.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma -2/3 (pow (/ eps 1.0) 3) (- (fma 2/5 (/ (pow eps 5) (pow 1.0 5)) (* 2.0 eps))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma -2/3 (pow (/ eps 1.0) 3) (- (fma 2/5 (/ (pow eps 5) (pow 1.0 5)) (* 2.0 eps))))

series146.0ms

Counts

1 → 3

Calls

1 calls:

146.0ms

(fma -2/3 (pow (/ eps 1.0) 3) (- (fma 2/5 (/ (pow eps 5) (pow 1.0 5)) (* 2.0 eps))))

simplify4.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	37	307
1	80	301
2	215	261
3	811	261
4	4496	261
done	5000	261

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.3s	3400×	body	1280	valid
1.1s	2508×	body	640	valid
838.0ms	8037×	body	80	nan
267.0ms	1250×	body	320	valid
83.0ms	630×	body	160	valid
13.0ms	212×	body	80	valid