Details

sample75.0ms

Algorithm

intervals

Results

28.0ms	70×	body	1280	valid
15.0ms	73×	body	10240	exit
10.0ms	59×	body	640	valid
3.0ms	26×	body	320	valid
3.0ms	86×	body	80	valid
1.0ms	16×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
4.6b	(- (exp x) 1.0)

rewrite59.0ms

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` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

37.0ms	(/ (exp x) (- (exp x) 1.0))
19.0ms	(- (exp x) 1.0)

series74.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (exp x) (- (exp x) 1.0))
25.0ms	(- (exp x) 1.0)

simplify86.0ms

Counts: 57 → 57

prune152.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

18.0ms	(+ (* 1/12 x) (/ 1 x))
7.0ms	(* 1/12 x)

series68.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* 1/12 x) (/ 1 x))
23.0ms	(* 1/12 x)

simplify71.0ms

Counts: 35 → 35

prune58.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
4.6b	(- 1 (/ 1.0 (exp x)))

rewrite91.0ms

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` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

11.0ms	(/ 1.0 (exp x))
53.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
22.0ms	(- 1 (/ 1.0 (exp x)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ 1.0 (exp x))
83.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
58.0ms	(- 1 (/ 1.0 (exp x)))

simplify59.0ms

Counts: 106 → 106

prune211.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

97.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.8b

bsearch1.0ms

simplify3.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

690.0ms	2622×	body	10240	exit
640.0ms	1662×	body	640	valid
608.0ms	2225×	body	1280	valid
89.0ms	2898×	body	80	valid
84.0ms	785×	body	320	valid
29.0ms	431×	body	160	valid