Details

sample39.0ms

Algorithm

intervals

Results

16.0ms	112×	body	1280	valid
7.0ms	82×	body	640	valid
3.0ms	384×	pre	80	true
2.0ms	45×	body	320	valid
2.0ms	133×	body	80	valid
0.0ms	12×	body	160	valid

simplify12.0ms

Counts: 1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize3.0ms

Local error

Found 1 expressions with local error:

4.3b	(- (exp x) 1.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

9.0ms

(- (exp x) 1.0)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify721.0ms

Counts: 17 → 17

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow x 2) 2)
0.0b	(+ (+ (/ (pow x 2) 2) x) (/ (pow x 3) 6))
0.1b	(/ (pow x 3) 6)

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
50×	`*-un-lft-identity`
45×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down`
20×	`associate-/l*`
13×	`add-exp-log`
12×	`cube-prod`
8×	`add-log-exp` `sqr-pow`
7×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*`
4×	`cube-mult` `unpow3` `unpow2`
3×	`pow1` `sum-log` `distribute-lft-out`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `frac-add` `pow-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l+`

Counts

3 → 131

Calls

3 calls:

8.0ms	(/ (pow x 2) 2)
140.0ms	(+ (+ (/ (pow x 2) 2) x) (/ (pow x 3) 6))
9.0ms	(/ (pow x 3) 6)

series88.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (pow x 2) 2)
26.0ms	(+ (+ (/ (pow x 2) 2) x) (/ (pow x 3) 6))
38.0ms	(/ (pow x 3) 6)

simplify855.0ms

Counts: 140 → 140

prune223.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (pow x 2)) (- 2))
0.0b	(+ (+ (/ (- (pow x 2)) (- 2)) x) (/ (pow x 3) 6))
0.1b	(/ (pow x 3) 6)

rewrite627.0ms

Algorithm

rewrite-expression-head

Rules

236×	`times-frac`
151×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `*-un-lft-identity`
146×	`add-sqr-sqrt` `add-cube-cbrt`
78×	`unpow-prod-down`
32×	`neg-mul-1` `associate-/l*`
26×	`sqr-pow`
22×	`unpow2`
13×	`associate-/r*`
12×	`cube-prod`
10×	`add-exp-log`
8×	`add-log-exp`
7×	`add-cbrt-cube`
4×	`cube-mult` `unpow3` `div-exp`
3×	`pow1` `sum-log` `distribute-lft-out`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `frac-2neg` `flip3-+` `div-sub` `frac-add` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `distribute-frac-neg` `pow-exp`

Counts

3 → 327

Calls

3 calls:

17.0ms	(/ (- (pow x 2)) (- 2))
581.0ms	(+ (+ (/ (- (pow x 2)) (- 2)) x) (/ (pow x 3) 6))
12.0ms	(/ (pow x 3) 6)

series91.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (- (pow x 2)) (- 2))
30.0ms	(+ (+ (/ (- (pow x 2)) (- 2)) x) (/ (pow x 3) 6))
35.0ms	(/ (pow x 3) 6)

simplify1.3s

Counts: 336 → 336

prune560.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow x 2) 2)
0.0b	(+ (+ (log (exp (/ (pow x 2) 2))) x) (/ (pow x 3) 6))
0.1b	(/ (pow x 3) 6)
2.2b	(log (exp (/ (pow x 2) 2)))

rewrite388.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
69×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
33×	`unpow-prod-down`
30×	`log-pow`
28×	`exp-prod`
20×	`associate-/l*`
14×	`add-exp-log`
12×	`cube-prod`
11×	`sqr-pow`
8×	`add-cbrt-cube` `add-log-exp`
7×	`unpow2`
6×	`pow1` `div-exp` `associate-/r*`
5×	`distribute-lft-out`
4×	`cube-mult` `unpow3`
3×	`log-prod` `sum-log` `div-inv`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `frac-add` `pow-exp` `clear-num` `flip-+`
1×	`+-commutative` `associate-+l+` `rem-log-exp`

Counts

4 → 172

Calls

4 calls:

8.0ms	(/ (pow x 2) 2)
348.0ms	(+ (+ (log (exp (/ (pow x 2) 2))) x) (/ (pow x 3) 6))
8.0ms	(/ (pow x 3) 6)
17.0ms	(log (exp (/ (pow x 2) 2)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (pow x 2) 2)
26.0ms	(+ (+ (log (exp (/ (pow x 2) 2))) x) (/ (pow x 3) 6))
35.0ms	(/ (pow x 3) 6)
28.0ms	(log (exp (/ (pow x 2) 2)))

simplify859.0ms

Counts: 184 → 184

prune370.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes14.0ms

Accuracy

-0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify1.0s

end0.0ms

sample1.3s

Algorithm

intervals

Results

569.0ms	3491×	body	1280	valid
284.0ms	2458×	body	640	valid
105.0ms	11897×	pre	80	true
74.0ms	4088×	body	80	valid
64.0ms	1224×	body	320	valid
21.0ms	636×	body	160	valid