Details

sample140.0ms

Algorithm

intervals

Results

78.0ms	174×	body	1280	valid
26.0ms	41×	body	640	valid
11.0ms	274×	body	80	valid
4.0ms	26×	body	320	valid
1.0ms	8×	body	160	valid

simplify11.1s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.7b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite70.0ms

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:

11.0ms	(- (exp x) 2.0)
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (exp x) 2.0)
72.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.2s

Counts: 41 → 41

prune118.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
5×	`add-log-exp`
4×	`sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 61

Calls

3 calls:

9.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
19.0ms	(* 1/360 (pow x 6))
26.0ms	(* 1/12 (pow x 4))

series351.0ms

Counts

3 → 9

Calls

3 calls:

232.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
74.0ms	(* 1/360 (pow x 6))
45.0ms	(* 1/12 (pow x 4))

simplify3.3s

Counts: 70 → 70

prune212.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp (* -1 x)) 2.0)
4.4b	(+ (exp x) (- (exp (* -1 x)) 2.0))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

24.0ms	(- (exp (* -1 x)) 2.0)
56.0ms	(+ (exp x) (- (exp (* -1 x)) 2.0))

series114.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(- (exp (* -1 x)) 2.0)
97.0ms	(+ (exp x) (- (exp (* -1 x)) 2.0))

simplify779.0ms

Counts: 37 → 37

prune73.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify925.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.1s	5707×	body	1280	valid
475.0ms	8016×	body	80	valid
277.0ms	1168×	body	640	valid
129.0ms	634×	body	320	valid
29.0ms	301×	body	160	valid