Details

sample178.0ms

Algorithm

intervals

Results

92.0ms	102×	body	1280	valid
39.0ms	81×	body	640	valid
13.0ms	239×	body	80	nan
12.0ms	41×	body	320	valid
4.0ms	25×	body	160	valid
1.0ms	7×	body	80	valid

simplify23.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	22
1	17
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize43.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
7.7b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 94

Calls

2 calls:

25.0ms	(/ (- 1 eps) (+ 1 eps))
13.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (- 1 eps) (+ 1 eps))
114.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify2.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5015
3	3256
2	909
1	375
0	158

prune404.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 2/5 (pow eps 5))
0.1b	(* (* -2/3 eps) (* eps eps))
0.3b	(* -2/3 eps)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 68

Calls

3 calls:

14.0ms	(* 2/5 (pow eps 5))
26.0ms	(* (* -2/3 eps) (* eps eps))
5.0ms	(* -2/3 eps)

series158.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* 2/5 (pow eps 5))
55.0ms	(* (* -2/3 eps) (* eps eps))
18.0ms	(* -2/3 eps)

simplify2.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
3	2235
2	637
1	227
0	103

prune259.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1 eps)) (log (+ 1 eps)))
7.8b	(log (- 1 eps))
7.9b	(log (+ 1 eps))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`log-prod`
15×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`associate--l+` `log-pow` `distribute-lft-out--`
5×	`add-exp-log` `difference-of-squares`
4×	`associate--r+`
3×	`flip3--` `add-cbrt-cube` `insert-posit16` `flip--` `add-log-exp`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 66

Calls

3 calls:

11.0ms	(- (log (- 1 eps)) (log (+ 1 eps)))
4.0ms	(log (- 1 eps))
3.0ms	(log (+ 1 eps))

series176.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(- (log (- 1 eps)) (log (+ 1 eps)))
24.0ms	(log (- 1 eps))
23.0ms	(log (+ 1 eps))

simplify1.8s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	1953
2	698
1	302
0	140

prune235.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (- 1 (* eps eps))) (log (- 1 eps)))
3.1b	(log (- 1 (* eps eps)))
7.8b	(log (- 1 eps))
7.8b	(log (- 1 eps))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
24×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
11×	`pow1` `difference-of-squares`
10×	`log-div`
9×	`add-cube-cbrt`
7×	`add-exp-log` `log-pow` `distribute-lft-out--`
6×	`flip3--` `flip--` `associate--r+`
5×	`associate--l+`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`rem-log-exp`
2×	`associate--l-` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

4 → 86

Calls

4 calls:

19.0ms	(- (log (- 1 (* eps eps))) (log (- 1 eps)))
5.0ms	(log (- 1 (* eps eps)))
6.0ms	(log (- 1 eps))
6.0ms	(log (- 1 eps))

series290.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (log (- 1 (* eps eps))) (log (- 1 eps)))
147.0ms	(log (- 1 (* eps eps)))
37.0ms	(log (- 1 eps))
38.0ms	(log (- 1 eps))

simplify2.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5002
3	2925
2	906
1	357
0	156

prune315.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.5s	3392×	body	1280	valid
1.4s	2478×	body	640	valid
476.0ms	8102×	body	80	nan
354.0ms	1278×	body	320	valid
85.0ms	625×	body	160	valid
61.0ms	227×	body	80	valid