Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	53×	body	1280	valid
5.0ms	37×	body	640	valid
3.0ms	126×	body	80	valid
3.0ms	31×	body	320	valid
1.0ms	9×	body	160	valid

simplify61.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	30	5
3	52	5
4	114	5
5	322	5
6	1627	5
7	5002	5
done	5002	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	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`times-frac`
11×	`add-cube-cbrt`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out--`

Counts

2 → 48

Calls

2 calls:

13.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
66.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series114.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
75.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify58.0ms

Counts

54 → 54

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	220	413
1	613	391
2	2032	387
3	5001	387
done	5001	387

prune114.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
2.8b	(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`times-frac`
11×	`add-cube-cbrt`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out--`

Counts

2 → 48

Calls

2 calls:

16.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
79.0ms	(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

series117.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
81.0ms	(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

simplify58.0ms

Counts

54 → 54

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	217	413
1	587	391
2	2012	386
3	5001	386
done	5001	386

prune97.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
0.1b	(* 0.33333333333333337 (pow x 3))
0.2b	(* 5.551115123125783e-17 (pow x 4))
9.0b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+` `associate--r+`

Counts

4 → 81

Calls

4 calls:

15.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
12.0ms	(* 0.33333333333333337 (pow x 3))
13.0ms	(* 5.551115123125783e-17 (pow x 4))
10.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
36.0ms	(* 0.33333333333333337 (pow x 3))
38.0ms	(* 5.551115123125783e-17 (pow x 4))
108.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify52.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	344	499
1	1435	468
2	5001	462
done	5001	462

prune186.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

99.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 29.0b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	14
1	35	14
done	35	14

end0.0ms

sample893.0ms

Algorithm

intervals

Results

333.0ms	1659×	body	1280	valid
175.0ms	1275×	body	640	valid
114.0ms	4134×	body	80	valid
55.0ms	621×	body	320	valid
18.0ms	311×	body	160	valid