Details

sample79.0ms

Algorithm

intervals

Results

52.0ms	173×	body	1280	valid
7.0ms	48×	body	640	valid
6.0ms	253×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	14×	body	160	valid

simplify218.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	100	5
6	144	5
7	296	5
8	1321	5
9	5001	5
done	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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:

10.0ms	(- (exp x) 2.0)
49.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(- (exp x) 2.0)
57.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify93.0ms

Counts

41 → 41

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	211	282
1	715	269
2	3477	260
3	5001	260
done	5001	260

prune88.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
12×	`*-un-lft-identity`
11×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`pow1` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

9.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
24.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
12.0ms	(* 1/360 (pow x 6))
14.0ms	(* 1/12 (pow x 4))

series275.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
55.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
48.0ms	(* 1/360 (pow x 6))
40.0ms	(* 1/12 (pow x 4))

simplify51.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	329	464
1	1456	439
2	5001	423
done	5001	423

prune196.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

3.2b	(- (+ (exp (* -1 x)) (exp x)) 2.0)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

73.0ms

(- (+ (exp (* -1 x)) (exp x)) 2.0)

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(- (+ (exp (* -1 x)) (exp x)) 2.0)

simplify47.0ms

Counts

20 → 20

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	111	156
1	344	145
2	1400	139
3	5001	139
done	5001	139

prune36.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

3.2b	(- (+ (exp (* -1 x)) (exp x)) 2.0)
3.2b	(log (exp (- (+ (exp (* -1 x)) (exp x)) 2.0)))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`log-pow` `add-log-exp`
6×	`log-prod` `exp-prod`
4×	`add-cube-cbrt` `distribute-lft-out--`
3×	`pow1` `exp-sum`
2×	`add-exp-log` `sub-neg` `diff-log` `associate--l+` `add-cbrt-cube` `distribute-lft-out` `difference-of-squares`
1×	`log-div` `flip3--` `exp-diff` `rem-log-exp` `sum-log` `flip--`

Counts

2 → 39

Calls

2 calls:

70.0ms	(- (+ (exp (* -1 x)) (exp x)) 2.0)
145.0ms	(log (exp (- (+ (exp (* -1 x)) (exp x)) 2.0)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(- (+ (exp (* -1 x)) (exp x)) 2.0)
53.0ms	(log (exp (- (+ (exp (* -1 x)) (exp x)) 2.0)))

simplify48.0ms

Counts

45 → 45

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	154	328
1	459	298
2	1704	292
3	5002	292
done	5002	292

prune85.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes17.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7
done	17	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.6s	5686×	body	1280	valid
185.0ms	8093×	body	80	valid
179.0ms	1209×	body	640	valid
56.0ms	626×	body	320	valid
19.0ms	321×	body	160	valid