Details

sample109.0ms

Algorithm

intervals

Results

39.0ms	91×	body	1280	valid
33.0ms	88×	body	10240	exit
15.0ms	49×	body	640	valid
6.0ms	86×	body	80	valid
5.0ms	21×	body	320	valid
1.0ms	9×	body	160	valid

simplify19.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.7b

localize13.0ms

Local error

Found 2 expressions with local error:

3.2b	(- (exp x) 1)
0.5b	(/ (exp x) (- (exp x) 1))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 63

Calls

2 calls:

Slowest

30.0ms	(- (exp x) 1)
21.0ms	(/ (exp x) (- (exp x) 1))

series59.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

36.0ms	(/ (exp x) (- (exp x) 1))
23.0ms	(- (exp x) 1)

simplify1.8s

Counts: 69 → 69

prune528.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.4b	(* 1/12 x)
0.0b	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sum-log` `associate-r` `associate-l`
2×	`insert-posit16`
1×	`+-commutative` `associate-+r+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

Slowest

36.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
9.0ms	(* 1/12 x)

series42.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

26.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
17.0ms	(* 1/12 x)

simplify629.0ms

Counts: 39 → 39

prune306.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.4b	(* 1/12 x)
0.0b	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sum-log` `associate-r` `associate-l`
2×	`insert-posit16`
1×	`+-commutative` `associate-+r+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

Slowest

25.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
5.0ms	(* 1/12 x)

series33.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

17.0ms	(* 1/12 x)
16.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

simplify607.0ms

Counts: 39 → 39

prune215.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 2 expressions with local error:

3.2b	(- (exp x) 1)
0.5b	(/ (exp x) (- (exp x) 1))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 63

Calls

2 calls:

Slowest

24.0ms	(/ (exp x) (- (exp x) 1))
15.0ms	(- (exp x) 1)

series48.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

29.0ms	(/ (exp x) (- (exp x) 1))
18.0ms	(- (exp x) 1)

simplify1.2s

Counts: 69 → 69

prune475.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

regimes87.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 21.6b

bsearch52.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.6s	2672×	body	10240	exit
1.1s	2276×	body	1280	valid
517.0ms	1624×	body	640	valid
200.0ms	2885×	body	80	valid
186.0ms	804×	body	320	valid
53.0ms	413×	body	160	valid