Details

sample112.0ms

Algorithm

intervals

Results

51.0ms	106×	body	1280	valid
23.0ms	78×	body	640	valid
11.0ms	253×	body	80	valid
9.0ms	44×	body	320	valid
2.0ms	21×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	7	262
1	14	262
2	24	193
3	30	193
4	34	193
done	34	193

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize9.0ms

Local error

Found 1 expressions with local error:

5.3b	(- (exp x) (exp (- x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

11.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify932.0ms

Counts

17 → 17

Iterations

Useful iterations: done (930.0ms)

Iter	Nodes	Cost
0	46	6147
1	109	5644
2	333	4729
3	1367	4502
done	5000	4472

prune103.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5)))
0.0b	(* x (+ 2 (* (* x x) 1/3)))
0.1b	(* 1/60 (pow x 5))
0.2b	(* (* x x) 1/3)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
11×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down`
3×	`*-commutative`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-exp`

Counts

4 → 79

Calls

4 calls:

11.0ms	(+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5)))
17.0ms	(* x (+ 2 (* (* x x) 1/3)))
10.0ms	(* 1/60 (pow x 5))
22.0ms	(* (* x x) 1/3)

series270.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5)))
87.0ms	(* x (+ 2 (* (* x x) 1/3)))
76.0ms	(* 1/60 (pow x 5))
29.0ms	(* (* x x) 1/3)

simplify2.0s

Counts

91 → 91

Iterations

Useful iterations: 2 (607.0ms)

Iter	Nodes	Cost
0	142	28256
1	431	24907
2	2567	24867
done	5000	24867

prune339.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+l+` `flip3-+` `pow3` `pow-exp` `flip-+`

Counts

4 → 87

Calls

4 calls:

35.0ms	(+ (+ (* 1/60 (pow x 5)) (* 1/3 (* (* x x) x))) (* 2 x))
12.0ms	(* 1/60 (pow x 5))
24.0ms	(* (* x x) x)
51.0ms	(* 1/3 (* (* x x) x))

series250.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (+ (* 1/60 (pow x 5)) (* 1/3 (* (* x x) x))) (* 2 x))
77.0ms	(* 1/60 (pow x 5))
35.0ms	(* (* x x) x)
51.0ms	(* 1/3 (* (* x x) x))

simplify1.9s

Counts

99 → 99

Iterations

Useful iterations: 2 (555.0ms)

Iter	Nodes	Cost
0	128	27676
1	372	23975
2	1968	22868
done	5000	22868

prune295.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	536
1	21	536
done	21	536

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.7s	3436×	body	1280	valid
1.2s	2409×	body	640	valid
450.0ms	8294×	body	80	valid
316.0ms	1233×	body	320	valid
112.0ms	655×	body	160	valid