Details

sample81.0ms

Algorithm

intervals

Results

53.0ms	185×	body	1280	valid
7.0ms	281×	body	80	valid
6.0ms	39×	body	640	valid
2.0ms	24×	body	320	valid
0.0ms	6×	body	160	valid

simplify7.3s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.7b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

9.0ms	(- (exp x) 2.0)
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify831.0ms

Counts: 41 → 41

prune82.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1 360) (pow x 6))
0.1b	(* (/ 1 12) (pow x 4))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
48×	`add-exp-log`
30×	`times-frac`
26×	`-un-lft-identity` `associate-l*`
24×	`prod-exp`
20×	`add-cube-cbrt`
18×	`unswap-sqr`
14×	`associate-r`
12×	`unpow-prod-down` `div-exp` `add-cbrt-cube`
8×	`pow-to-exp` `pow-exp` `sqr-pow`
6×	`rec-exp` `1-exp`
4×	`cbrt-unprod`
2×	`pow1` `cbrt-undiv` `associate-l/` `-commutative` `div-inv` `add-log-exp`

Counts

2 → 104

Calls

2 calls:

23.0ms	(* (/ 1 360) (pow x 6))
20.0ms	(* (/ 1 12) (pow x 4))

series87.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (/ 1 360) (pow x 6))
37.0ms	(* (/ 1 12) (pow x 4))

simplify533.0ms

Counts: 110 → 110

prune245.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 2.0 (exp (- x)))
4.1b	(- (exp x) (- 2.0 (exp (- x))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
6×	`add-sqr-sqrt`
4×	`diff-log` `distribute-lft-out--`
3×	`sub-neg`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--` `associate--r+` `difference-of-squares`
1×	`associate--r-`

Counts

2 → 33

Calls

2 calls:

8.0ms	(- 2.0 (exp (- x)))
30.0ms	(- (exp x) (- 2.0 (exp (- x))))

series72.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- 2.0 (exp (- x)))
58.0ms	(- (exp x) (- 2.0 (exp (- x))))

simplify543.0ms

Counts: 39 → 39

prune65.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

Accuracy

-0.1% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify425.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.2s	5582×	body	1280	valid
295.0ms	1297×	body	640	valid
212.0ms	8113×	body	80	valid
86.0ms	616×	body	320	valid
49.0ms	336×	body	160	valid