Details

sample241.0ms

Algorithm

intervals

Results

110.0ms	108×	body	1280	valid
45.0ms	75×	body	640	valid
44.0ms	264×	body	80	nan
19.0ms	50×	body	320	valid
4.0ms	17×	body	160	valid
1.0ms	6×	body	80	valid

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	25
3	25
2	22
1	17
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
5.7b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite45.0ms

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:

31.0ms	(/ (- 1 eps) (+ 1 eps))
11.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- 1 eps) (+ 1 eps))
114.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify814.0ms

Counts

100 → 100

Iterations

Iter	Nodes
3	2190
2	793
1	366
0	158

prune856.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

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:

9.0ms	(* 2/5 (pow eps 5))
14.0ms	(* (* eps eps) eps)
51.0ms	(* -2/3 (* (* eps eps) eps))

series216.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(* 2/5 (pow eps 5))
54.0ms	(* (* eps eps) eps)
61.0ms	(* -2/3 (* (* eps eps) eps))

simplify6.6s

Counts

86 → 86

Iterations

Iter	Nodes
4	9748
3	1972
2	610
1	244
0	103

prune797.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1 eps))
0.0b	(/ eps (+ 1 eps))
0.0b	(- (/ 1 (+ 1 eps)) (/ eps (+ 1 eps)))
5.7b	(log (- (/ 1 (+ 1 eps)) (/ eps (+ 1 eps))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

109×	`*-un-lft-identity`
66×	`times-frac`
61×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
23×	`log-prod`
18×	`distribute-lft-out`
16×	`distribute-lft-out--`
14×	`div-inv`
12×	`distribute-rgt-out--` `associate-/r/` `difference-of-squares`
11×	`add-exp-log`
8×	`associate-/r*` `add-cbrt-cube`
6×	`pow1` `flip3-+` `flip-+` `associate-/l*` `add-log-exp`
4×	`log-div` `insert-posit16`
3×	`div-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `frac-sub` `flip--` `sub-div`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `rem-log-exp` `log-pow` `pow-flip` `inv-pow`

Counts

4 → 144

Calls

4 calls:

15.0ms	(/ 1 (+ 1 eps))
17.0ms	(/ eps (+ 1 eps))
53.0ms	(- (/ 1 (+ 1 eps)) (/ eps (+ 1 eps)))
32.0ms	(log (- (/ 1 (+ 1 eps)) (/ eps (+ 1 eps))))

series213.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1 (+ 1 eps))
25.0ms	(/ eps (+ 1 eps))
42.0ms	(- (/ 1 (+ 1 eps)) (/ eps (+ 1 eps)))
120.0ms	(log (- (/ 1 (+ 1 eps)) (/ eps (+ 1 eps))))

simplify1.2s

Counts

156 → 156

Iterations

Iter	Nodes
3	2441
2	986
1	417
0	211

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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	17
1	17
0	13

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.0s	3471×	body	1280	valid
1.1s	2447×	body	640	valid
530.0ms	8108×	body	80	nan
360.0ms	1261×	body	320	valid
102.0ms	617×	body	160	valid
15.0ms	204×	body	80	valid