Details

sample230.0ms

Algorithm

intervals

Results

106.0ms	108×	body	1280	valid
67.0ms	84×	body	640	valid
22.0ms	279×	body	80	nan
13.0ms	37×	body	320	valid
6.0ms	25×	body	160	valid
0.0ms	2×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:

28.0ms	(/ (- 1 eps) (+ 1 eps))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- 1 eps) (+ 1 eps))
117.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.2s

Counts

100 → 100

Iterations

Iter	Nodes
3	2199
2	794
1	365
0	158

prune391.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
22×	`add-exp-log`
19×	`add-cbrt-cube`
14×	`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`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `pow3` `pow-exp`

Counts

3 → 77

Calls

3 calls:

17.0ms	(* 2/5 (pow eps 5))
71.0ms	(* -2/3 (* (* eps eps) eps))
30.0ms	(* (* eps eps) eps)

series164.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* 2/5 (pow eps 5))
52.0ms	(* -2/3 (* (* eps eps) eps))
52.0ms	(* (* eps eps) eps)

simplify766.0ms

Counts

86 → 86

Iterations

Iter	Nodes
3	2023
2	623
1	231
0	103

prune278.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`log-prod`
9×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
4×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt`
2×	`add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `add-log-exp` `difference-of-squares`
1×	`flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

2 → 34

Calls

2 calls:

7.0ms	(log (- 1 eps))
6.0ms	(log (+ 1 eps))

series65.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(log (- 1 eps))
40.0ms	(log (+ 1 eps))

simplify619.0ms

Counts

40 → 40

Iterations

Iter	Nodes
4	2156
3	750
2	334
1	169
0	90

prune137.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
17×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
8×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt`
4×	`add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out`
2×	`difference-of-squares`
1×	`flip3--` `flip--` `distribute-lft-out--`

Counts

4 → 66

Calls

4 calls:

6.0ms	(log (- 1 eps))
3.0ms	(log (+ 1 eps))
3.0ms	(log (+ 1 eps))
3.0ms	(log (+ 1 eps))

series166.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(log (- 1 eps))
38.0ms	(log (+ 1 eps))
49.0ms	(log (+ 1 eps))
39.0ms	(log (+ 1 eps))

simplify629.0ms

Counts

78 → 78

Iterations

Iter	Nodes
4	2156
3	750
2	334
1	169
0	90

prune365.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b 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

sample5.8s

Algorithm

intervals

Results

2.7s	3302×	body	1280	valid
1.6s	2578×	body	640	valid
638.0ms	8199×	body	80	nan
396.0ms	1253×	body	320	valid
142.0ms	674×	body	160	valid
16.0ms	193×	body	80	valid