Details

sample2.4s

Algorithm

intervals

Results

1.9s	128×	body	10240	exit
180.0ms	48×	body	1280	nan
117.0ms	259×	body	80	valid
58.0ms	45×	body	640	nan
18.0ms	20×	body	320	nan
5.0ms	15×	body	80	nan
5.0ms	8×	body	160	nan

simplify2.0s

Counts: 1 → 1

prune532.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize132.0ms

Local error

Found 4 expressions with local error:

6.6b	(- (- 1.0 z) 1.0)
6.6b	(- (- 1.0 z) 1.0)
6.6b	(- (- 1.0 z) 1.0)
6.6b	(- (- 1.0 z) 1.0)

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity` `add-log-exp`
12×	`add-sqr-sqrt` `diff-log` `distribute-lft-out--`
8×	`sub-neg` `associate--l+`
4×	`pow1` `add-exp-log` `associate--l-` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

38.0ms	(- (- 1.0 z) 1.0)
48.0ms	(- (- 1.0 z) 1.0)
52.0ms	(- (- 1.0 z) 1.0)
61.0ms	(- (- 1.0 z) 1.0)

series57.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (- 1.0 z) 1.0)
14.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
15.0ms	(- (- 1.0 z) 1.0)

simplify1.0s

Counts: 88 → 88

prune2.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.2b

localize181.0ms

Local error

Found 4 expressions with local error:

6.6b	(- (- 1.0 z) 1.0)
6.6b	(- (- 1.0 z) 1.0)
6.6b	(- (- 1.0 z) 1.0)
6.7b	(- (sqrt (- 1.0 z)) (sqrt 1.0))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
21×	`add-log-exp`
18×	`add-sqr-sqrt`
13×	`distribute-lft-out--`
10×	`diff-log`
8×	`sqrt-prod`
7×	`sub-neg` `difference-of-squares`
6×	`associate--l+`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
3×	`associate--l-`

Counts

4 → 76

Calls

4 calls:

51.0ms	(- (- 1.0 z) 1.0)
45.0ms	(- (- 1.0 z) 1.0)
60.0ms	(- (- 1.0 z) 1.0)
44.0ms	(- (sqrt (- 1.0 z)) (sqrt 1.0))

series135.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 1.0 z) 1.0)
16.0ms	(- (- 1.0 z) 1.0)
84.0ms	(- (sqrt (- 1.0 z)) (sqrt 1.0))

simplify1.3s

Counts: 88 → 88

prune2.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.2b

localize194.0ms

Local error

Found 4 expressions with local error:

6.6b	(- (- 1.0 z) 1.0)
6.6b	(- (- 1.0 z) 1.0)
6.6b	(- (- 1.0 z) 1.0)
6.7b	(- (sqrt (- 1.0 z)) (sqrt 1.0))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
21×	`add-log-exp`
18×	`add-sqr-sqrt`
13×	`distribute-lft-out--`
10×	`diff-log`
8×	`sqrt-prod`
7×	`sub-neg` `difference-of-squares`
6×	`associate--l+`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
3×	`associate--l-`

Counts

4 → 76

Calls

4 calls:

54.0ms	(- (- 1.0 z) 1.0)
39.0ms	(- (- 1.0 z) 1.0)
39.0ms	(- (- 1.0 z) 1.0)
80.0ms	(- (sqrt (- 1.0 z)) (sqrt 1.0))

series163.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (- 1.0 z) 1.0)
18.0ms	(- (- 1.0 z) 1.0)
20.0ms	(- (- 1.0 z) 1.0)
101.0ms	(- (sqrt (- 1.0 z)) (sqrt 1.0))

simplify1.2s

Counts: 88 → 88

prune2.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.2b

localize196.0ms

Local error

Found 4 expressions with local error:

6.6b	(- (- 1.0 z) 1.0)
6.6b	(- (- 1.0 z) 1.0)
6.6b	(- (- 1.0 z) 1.0)
6.7b	(- (sqrt (- 1.0 z)) (sqrt 1.0))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
21×	`add-log-exp`
18×	`add-sqr-sqrt`
13×	`distribute-lft-out--`
10×	`diff-log`
8×	`sqrt-prod`
7×	`sub-neg` `difference-of-squares`
6×	`associate--l+`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
3×	`associate--l-`

Counts

4 → 76

Calls

4 calls:

54.0ms	(- (- 1.0 z) 1.0)
75.0ms	(- (- 1.0 z) 1.0)
52.0ms	(- (- 1.0 z) 1.0)
59.0ms	(- (sqrt (- 1.0 z)) (sqrt 1.0))

series133.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (- 1.0 z) 1.0)
14.0ms	(- (- 1.0 z) 1.0)
15.0ms	(- (- 1.0 z) 1.0)
87.0ms	(- (sqrt (- 1.0 z)) (sqrt 1.0))

simplify1.3s

Counts: 88 → 88

prune2.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.2b

regimes254.0ms

Accuracy

0% (0.6b remaining)

Error of 1.9b against oracle of 1.2b and baseline of 1.9b

bsearch0.0ms

simplify391.0ms

end0.0ms

sample1.3m

Algorithm

intervals

Results

1.1m	3822×	body	10240	exit
4.6s	8087×	body	80	valid
3.5s	1453×	body	1280	nan
2.5s	1209×	body	640	nan
791.0ms	622×	body	320	nan
348.0ms	280×	body	160	nan
93.0ms	276×	body	80	nan
0.0ms	1×	body	160	valid