Details

sample172.0ms

Algorithm

intervals

Results

85.0ms	106×	body	1280	valid
37.0ms	77×	body	640	valid
17.0ms	247×	body	80	nan
15.0ms	48×	body	320	valid
4.0ms	17×	body	160	valid
1.0ms	8×	body	80	valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	23
3	23
2	20
1	15
0	6

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
6.5b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite39.0ms

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:

30.0ms	(/ (- 1 eps) (+ 1 eps))
7.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- 1 eps) (+ 1 eps))
101.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
3	2199
2	794
1	365
0	158

prune854.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* -2/3 (* (* eps eps) eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
0.1b	(* 2/5 (pow eps 5))
0.1b	(* (* eps eps) eps)
0.2b	(* -2/3 (* (* eps eps) eps))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`pow2` `diff-log` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `sum-log` `sub-neg` `flip3--` `pow3` `pow-exp` `flip--` `associate--r+`

Counts

4 → 92

Calls

4 calls:

47.0ms	(- (* -2/3 (* (* eps eps) eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
8.0ms	(* 2/5 (pow eps 5))
15.0ms	(* (* eps eps) eps)
44.0ms	(* -2/3 (* (* eps eps) eps))

series242.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (* -2/3 (* (* eps eps) eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
63.0ms	(* 2/5 (pow eps 5))
39.0ms	(* (* eps eps) eps)
42.0ms	(* -2/3 (* (* eps eps) eps))

simplify1.9s

Counts

104 → 104

Iterations

Iter	Nodes
3	4021
2	1022
1	348
0	137

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1 eps)) (log (+ 1 eps)))
6.5b	(log (- 1 eps))
6.6b	(log (+ 1 eps))

rewrite19.0ms

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

series193.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(- (log (- 1 eps)) (log (+ 1 eps)))
33.0ms	(log (- 1 eps))
30.0ms	(log (+ 1 eps))

simplify2.2s

Counts

75 → 75

Iterations

Iter	Nodes
4	4567
3	1544
2	628
1	291
0	140

prune523.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (- 1 eps)) (log (sqrt (+ 1 eps))))
6.5b	(log (- 1 eps))
6.6b	(log (sqrt (+ 1 eps)))
6.6b	(log (sqrt (+ 1 eps)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

12.0ms	(- (log (- 1 eps)) (log (sqrt (+ 1 eps))))
4.0ms	(log (- 1 eps))
7.0ms	(log (sqrt (+ 1 eps)))
8.0ms	(log (sqrt (+ 1 eps)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(- (log (- 1 eps)) (log (sqrt (+ 1 eps))))
29.0ms	(log (- 1 eps))
78.0ms	(log (sqrt (+ 1 eps)))
95.0ms	(log (sqrt (+ 1 eps)))

simplify2.5s

Counts

107 → 107

Iterations

Iter	Nodes
4	5173
3	1734
2	704
1	324
0	161

prune645.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes38.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	18
1	18
0	13

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.8s	3335×	body	1280	valid
1.4s	2574×	body	640	valid
940.0ms	7973×	body	80	nan
423.0ms	1283×	body	320	valid
111.0ms	615×	body	160	valid
16.0ms	193×	body	80	valid