Details

sample68.0ms

Algorithm

intervals

Results

21.0ms	46×	body	640	valid
17.0ms	80×	body	1280	valid
12.0ms	79×	body	10240	exit
3.0ms	93×	body	80	valid
2.0ms	25×	body	320	valid
1.0ms	12×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (exp x) (- (exp x) 1.0))
3.8b	(- (exp x) 1.0)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 51

Calls

2 calls:

14.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

series68.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (exp x) (- (exp x) 1.0))
23.0ms	(- (exp x) 1.0)

simplify1.5s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
3	2908
2	645
1	191
0	91

prune251.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 1/12 x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

14.0ms

(* 1/12 x)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* 1/12 x)

simplify2.0s

Counts

21 → 21

Iterations

Iter	Nodes
done	5001
5	2346
4	1251
3	484
2	157
1	65
0	30

prune81.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (- (exp x) 1.0) (exp x)))
0.2b	(/ (- (exp x) 1.0) (exp x))
3.8b	(- (exp x) 1.0)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
17×	`distribute-lft-out--` `difference-of-squares`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 152

Calls

3 calls:

43.0ms	(/ 1 (/ (- (exp x) 1.0) (exp x)))
28.0ms	(/ (- (exp x) 1.0) (exp x))
8.0ms	(- (exp x) 1.0)

series96.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ 1 (/ (- (exp x) 1.0) (exp x)))
31.0ms	(/ (- (exp x) 1.0) (exp x))
17.0ms	(- (exp x) 1.0)

simplify1.4s

Counts

161 → 161

Iterations

Iter	Nodes
done	5000
2	3181
1	565
0	210

prune465.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
3.8b	(- 1 (/ 1.0 (exp x)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `associate-/r/` `div-inv` `flip--`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `pow-flip` `inv-pow`

Counts

3 → 97

Calls

3 calls:

28.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
10.0ms	(/ 1.0 (exp x))
25.0ms	(- 1 (/ 1.0 (exp x)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
16.0ms	(/ 1.0 (exp x))
44.0ms	(- 1 (/ 1.0 (exp x)))

simplify879.0ms

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1153
1	345
0	162

prune354.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

97.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 21.1b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	2243×	body	1280	valid
710.0ms	2546×	body	10240	exit
329.0ms	1710×	body	640	valid
140.0ms	2822×	body	80	valid
109.0ms	820×	body	320	valid
32.0ms	406×	body	160	valid