Details

sample2.6s

Algorithm

intervals

Results

2.1s	129×	body	10240	exit
147.0ms	50×	body	1280	nan
86.0ms	258×	body	80	valid
81.0ms	31×	body	640	nan
57.0ms	18×	body	320	nan
6.0ms	8×	body	160	nan
4.0ms	11×	body	80	nan

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (2.5s)

Iter	Nodes	Cost
0	60	1840
1	148	1840
2	612	1840
3	4551	1760
done	5000	1760

prune56.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize220.0ms

Local error

Found 4 expressions with local error:

5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)

rewrite132.0ms

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×	`associate--l-` `pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip--` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

29.0ms	(- (- 1.0 z) 1.0)
38.0ms	(- (- 1.0 z) 1.0)
32.0ms	(- (- 1.0 z) 1.0)
32.0ms	(- (- 1.0 z) 1.0)

series55.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)
14.0ms	(- (- 1.0 z) 1.0)

simplify3.5s

Counts

88 → 88

Iterations

Useful iterations: 4 (878.0ms)

Iter	Nodes	Cost
0	38	13636
1	75	11860
2	171	11860
3	570	10088
4	4806	10056
done	5000	10056

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.1b

localize199.0ms

Local error

Found 4 expressions with local error:

5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)
5.3b	(log (exp (- z)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
19×	`add-log-exp`
14×	`add-sqr-sqrt`
11×	`log-pow`
10×	`exp-prod`
9×	`diff-log` `distribute-lft-out--`
8×	`add-cube-cbrt`
6×	`sub-neg` `associate--l+`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log`
3×	`associate--l-` `distribute-lft-neg-in` `log-prod` `distribute-rgt-neg-in` `flip3--` `flip--` `difference-of-squares`
2×	`exp-neg` `log-div`
1×	`neg-sub0` `neg-mul-1` `exp-diff` `rem-log-exp` `log-rec`

Counts

4 → 82

Calls

4 calls:

38.0ms	(- (- 1.0 z) 1.0)
36.0ms	(- (- 1.0 z) 1.0)
28.0ms	(- (- 1.0 z) 1.0)
5.0ms	(log (exp (- z)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
15.0ms	(- (- 1.0 z) 1.0)
14.0ms	(- (- 1.0 z) 1.0)
13.0ms	(log (exp (- z)))

simplify916.0ms

Counts

94 → 94

Iterations

Useful iterations: done (880.0ms)

Iter	Nodes	Cost
0	86	16282
1	141	11547
2	297	11547
3	997	11178
done	5000	10194

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

localize243.0ms

Local error

Found 4 expressions with local error:

5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)
5.4b	(log (sqrt (exp (- z))))
5.4b	(log (sqrt (exp (- z))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

26×	`log-pow`
24×	`*-un-lft-identity`
22×	`sqrt-pow1`
20×	`exp-prod`
18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `add-log-exp`
12×	`log-prod`
8×	`pow1`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `diff-log` `add-exp-log` `sqrt-prod` `distribute-lft-out--`
4×	`log-div` `sub-neg` `add-cbrt-cube` `sqrt-div` `associate--l+`
2×	`associate--l-` `neg-sub0` `exp-neg` `neg-mul-1` `flip3--` `pow1/2` `exp-diff` `rem-log-exp` `flip--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

57.0ms	(- (- 1.0 z) 1.0)
42.0ms	(- (- 1.0 z) 1.0)
6.0ms	(log (sqrt (exp (- z))))
6.0ms	(log (sqrt (exp (- z))))

series552.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 1.0 z) 1.0)
259.0ms	(log (sqrt (exp (- z))))
248.0ms	(log (sqrt (exp (- z))))

simplify969.0ms

Counts

108 → 108

Iterations

Useful iterations: 3 (236.0ms)

Iter	Nodes	Cost
0	103	24440
1	157	18810
2	289	18810
3	964	17908
done	5000	17908

prune2.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize258.0ms

Local error

Found 4 expressions with local error:

5.3b	(- (- 1.0 z) 1.0)
5.3b	(- (- 1.0 z) 1.0)
5.4b	(log (sqrt (exp z)))
5.4b	(log (sqrt (exp (- z))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
19×	`log-pow`
16×	`add-sqr-sqrt`
15×	`sqrt-pow1`
14×	`add-log-exp`
13×	`exp-prod`
12×	`log-prod` `add-cube-cbrt`
8×	`pow1`
6×	`diff-log` `add-exp-log` `sqrt-prod` `distribute-lft-out--`
4×	`sub-neg` `add-cbrt-cube` `associate--l+`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`associate--l-` `log-div` `flip3--` `pow1/2` `sqrt-div` `rem-log-exp` `flip--` `difference-of-squares`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `exp-diff`

Counts

4 → 87

Calls

4 calls:

52.0ms	(- (- 1.0 z) 1.0)
35.0ms	(- (- 1.0 z) 1.0)
5.0ms	(log (sqrt (exp z)))
6.0ms	(log (sqrt (exp (- z))))

series442.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)
161.0ms	(log (sqrt (exp z)))
250.0ms	(log (sqrt (exp (- z))))

simplify854.0ms

Counts

99 → 99

Iterations

Useful iterations: done (812.0ms)

Iter	Nodes	Cost
0	125	21398
1	186	17079
2	336	17079
3	974	16833
done	5002	16177

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

regimes375.0ms

Accuracy

0% (0.2b remaining)

Error of 1.2b against oracle of 1.1b and baseline of 1.2b

bsearch0.0ms

simplify61.0ms

Iterations

Useful iterations: 1 (50.0ms)

Iter	Nodes	Cost
0	68	2241
1	92	2240
done	92	2240

end0.0ms

sample1.4m

Algorithm

intervals

Results

1.2m	3939×	body	10240	exit
3.8s	8087×	body	80	valid
3.8s	1549×	body	1280	nan
3.0s	1324×	body	640	nan
648.0ms	567×	body	320	nan
211.0ms	316×	body	160	nan
99.0ms	304×	body	80	nan