Details

sample140.0ms

Algorithm

intervals

Results

72.0ms	111×	body	1280	valid
25.0ms	68×	body	640	valid
11.0ms	273×	body	80	nan
10.0ms	49×	body	320	valid
2.0ms	19×	body	160	valid
1.0ms	9×	body	80	valid

simplify27.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize13.0ms

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)))

rewrite69.0ms

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×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

46.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
19.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series197.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
153.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.3s

Counts: 89 → 89

prune279.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify18.0ms

Counts: 0 → 0

prune13.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
7.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
7.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
7.2b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
78×	`log-prod`
60×	`times-frac`
59×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
12.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series898.0ms

Counts

4 → 12

Calls

4 calls:

404.0ms	(cbrt (log (/ (- 1.0 eps) (+ 1.0 eps))))
149.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
156.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
189.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.8s

Counts: 135 → 135

prune432.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

182×	`*-un-lft-identity`
176×	`log-prod`
152×	`times-frac`
134×	`sqrt-prod`
130×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
26×	`distribute-lft-out`
22×	`distribute-lft-out--` `difference-of-squares`
16×	`add-exp-log`
8×	`pow1` `rem-log-exp` `associate-/r/`
4×	`log-div` `flip3-+` `sqrt-div` `div-exp` `log-pow` `add-cbrt-cube` `flip-+` `div-inv` `add-log-exp`

Counts

4 → 220

Calls

4 calls:

10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
22.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
27.0ms	(log (/ (sqrt (- 1.0 eps)) (sqrt (+ 1.0 eps))))
13.0ms	(log (/ (sqrt (- 1.0 eps)) (sqrt (+ 1.0 eps))))

series933.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
172.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
275.0ms	(log (/ (sqrt (- 1.0 eps)) (sqrt (+ 1.0 eps))))
273.0ms	(log (/ (sqrt (- 1.0 eps)) (sqrt (+ 1.0 eps))))

simplify798.0ms

Counts: 232 → 232

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes56.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 0.8b

bsearch0.0ms

simplify2.6s

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.2s	3417×	body	1280	valid
874.0ms	2529×	body	640	valid
755.0ms	7966×	body	80	nan
229.0ms	1204×	body	320	valid
115.0ms	611×	body	160	valid
12.0ms	239×	body	80	valid