Details

sample154.0ms

Algorithm

intervals

Results

71.0ms	110×	body	1280	valid
32.0ms	83×	body	640	valid
13.0ms	246×	body	80	nan
9.0ms	37×	body	320	valid
3.0ms	21×	body	160	valid
0.0ms	5×	body	80	valid

simplify95.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	20
1	15
0	6

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize40.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.8b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite96.0ms

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*` `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 → 85

Calls

2 calls:

57.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
30.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series279.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
224.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify5.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
3	2980
2	831
1	351
0	145

prune742.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize101.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune23.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize88.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
5.8b	(log (+ 1.0 eps))
5.8b	(log (- 1.0 eps))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`log-prod`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`associate--l+` `add-exp-log`
4×	`associate--r+`
3×	`flip3--` `add-cbrt-cube` `insert-posit16` `flip--` `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 → 64

Calls

3 calls:

56.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
18.0ms	(log (+ 1.0 eps))
19.0ms	(log (- 1.0 eps))

series613.0ms

Counts

3 → 9

Calls

3 calls:

468.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
66.0ms	(log (+ 1.0 eps))
78.0ms	(log (- 1.0 eps))

simplify4.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5002
3	2610
2	786
1	314
0	144

prune764.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize123.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* -2/5 (/ (pow eps 5) (pow 1.0 5))) (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) 2/3)))
0.1b	(* -2/5 (/ (pow eps 5) (pow 1.0 5)))
0.1b	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) 2/3))
0.3b	(* (/ eps 1.0) 2/3)

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-exp-log`
83×	`add-cbrt-cube`
70×	`add-sqr-sqrt`
68×	`times-frac`
57×	`associate-r`
49×	`prod-exp`
48×	`unpow-prod-down`
42×	`*-un-lft-identity` `add-cube-cbrt`
41×	`cbrt-unprod`
27×	`div-exp`
20×	`pow1` `sqr-pow`
19×	`cbrt-undiv` `associate-*l/`
17×	`associate-l`
14×	`associate-*r/`
12×	`unswap-sqr`
10×	`frac-times` `pow-prod-down`
7×	`frac-sub`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`insert-posit16`
3×	`*-commutative`
2×	`div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 194

Calls

4 calls:

71.0ms	(- (* -2/5 (/ (pow eps 5) (pow 1.0 5))) (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) 2/3)))
101.0ms	(* -2/5 (/ (pow eps 5) (pow 1.0 5)))
156.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) 2/3))
26.0ms	(* (/ eps 1.0) 2/3)

series615.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(- (* -2/5 (/ (pow eps 5) (pow 1.0 5))) (* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) 2/3)))
181.0ms	(* -2/5 (/ (pow eps 5) (pow 1.0 5)))
85.0ms	(* (* (/ eps 1.0) (/ eps 1.0)) (* (/ eps 1.0) 2/3))
19.0ms	(* (/ eps 1.0) 2/3)

simplify5.9s

Counts

206 → 206

Iterations

Iter	Nodes
done	5002
2	3638
1	991
0	353

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.4s	3356×	body	1280	valid
1.5s	2553×	body	640	valid
554.0ms	8159×	body	80	nan
385.0ms	1243×	body	320	valid
123.0ms	632×	body	160	valid
16.0ms	216×	body	80	valid