Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	43×	body	1280	valid
6.0ms	36×	body	640	valid
6.0ms	147×	body	80	valid
3.0ms	21×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	30	10
4	53	10
5	117	10
6	441	10
7	3433	10
done	5000	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.1b

localize8.0ms

Local error

Found 1 expressions with local error:

3.3b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

135.0ms

(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series149.0ms

Counts

1 → 3

Calls

1 calls:

148.0ms

(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify1.2s

Counts

18 → 18

Iterations

Useful iterations: 3 (360.0ms)

Iter	Nodes	Cost
0	55	302
1	119	299
2	322	275
3	1728	268
done	5001	268

prune64.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 0.33333333333333337 (pow x 3))
0.4b	(* 5.551115123125783e-17 (pow x 4))
8.2b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite71.0ms

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`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

23.0ms	(* 0.33333333333333337 (pow x 3))
25.0ms	(* 5.551115123125783e-17 (pow x 4))
21.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series280.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* 0.33333333333333337 (pow x 3))
54.0ms	(* 5.551115123125783e-17 (pow x 4))
149.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify979.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (261.0ms)

Iter	Nodes	Cost
0	114	734
1	290	647
2	1118	602
done	5001	602

prune269.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes236.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.6b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	26	47
1	35	38
done	35	38

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	1676×	body	1280	valid
373.0ms	4056×	body	80	valid
340.0ms	1278×	body	640	valid
112.0ms	663×	body	320	valid
34.0ms	327×	body	160	valid