Details

sample101.0ms

Algorithm

intervals

Results

45.0ms	110×	body	1280	valid
19.0ms	77×	body	640	valid
9.0ms	225×	body	80	valid
6.0ms	38×	body	320	valid
6.0ms	24×	body	160	valid

simplify32.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	30	8
4	34	8
done	34	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize13.0ms

Local error

Found 1 expressions with local error:

7.1b	(- (exp x) (exp (- x)))

rewrite26.0ms

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:

26.0ms

(- (exp x) (exp (- x)))

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(- (exp x) (exp (- x)))

simplify1.7s

Counts

17 → 17

Iterations

Useful iterations: 3 (151.0ms)

Iter	Nodes	Cost
0	46	185
1	100	176
2	231	158
3	532	157
4	1593	157
done	5000	157

prune67.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `associate-+r+` `flip3-+` `unpow3` `flip-+`

Counts

3 → 69

Calls

3 calls:

23.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
13.0ms	(* 1/60 (pow x 5))
19.0ms	(* 1/3 (pow x 3))

series202.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
68.0ms	(* 1/60 (pow x 5))
48.0ms	(* 1/3 (pow x 3))

simplify3.8s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	122	847
1	303	750
2	948	704
3	4999	703
done	5002	703

prune179.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) (exp (- x))))
7.1b	(- (exp x) (exp (- x)))
7.1b	(- (exp x) (exp (- x)))
7.1b	(- (exp x) (exp (- x)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

16.0ms	(cbrt (- (exp x) (exp (- x))))
22.0ms	(- (exp x) (exp (- x)))
17.0ms	(- (exp x) (exp (- x)))
16.0ms	(- (exp x) (exp (- x)))

series368.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (- (exp x) (exp (- x))))
61.0ms	(- (exp x) (exp (- x)))
53.0ms	(- (exp x) (exp (- x)))
46.0ms	(- (exp x) (exp (- x)))

simplify2.7s

Counts

69 → 69

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	80	819
1	170	780
2	391	678
3	953	660
4	3856	651
done	5000	651

prune290.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/3 (pow x 3))
0.6b	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
7.1b	(- (exp x) (exp (- x)))
7.1b	(- (exp x) (exp (- x)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`associate-r`
9×	`add-exp-log` `add-cube-cbrt`
8×	`add-log-exp`
6×	`add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `cube-prod` `unswap-sqr`
3×	`cbrt-prod` `associate-l` `prod-exp`
2×	`sub-neg` `cbrt-div` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `flip3-+` `pow1/3` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 72

Calls

4 calls:

22.0ms	(* 1/3 (pow x 3))
24.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
28.0ms	(- (exp x) (exp (- x)))
21.0ms	(- (exp x) (exp (- x)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* 1/3 (pow x 3))
220.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
54.0ms	(- (exp x) (exp (- x)))
51.0ms	(- (exp x) (exp (- x)))

simplify3.7s

Counts

84 → 84

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	162	1169
1	382	1082
2	1086	1004
3	4981	953
done	5001	953

prune488.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes32.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	20	17
done	20	17

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.0s	3349×	body	1280	valid
846.0ms	2417×	body	640	valid
388.0ms	8189×	body	80	valid
255.0ms	1270×	body	320	valid
70.0ms	681×	body	160	valid