Details

sample34.0ms

Algorithm

intervals

Results

13.0ms	65×	body	1280	valid
5.0ms	37×	body	640	valid
3.0ms	119×	body	80	valid
3.0ms	26×	body	320	valid
1.0ms	9×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	31	10
4	55	10
5	120	10
6	278	10
7	819	10
8	3019	10
done	5001	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize12.0ms

Local error

Found 1 expressions with local error:

2.5b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

77×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
54×	`prod-diff`
51×	`add-cube-cbrt`
49×	`times-frac`
18×	`fma-neg`
12×	`distribute-lft-out`
8×	`associate-/r/`
4×	`flip3-+` `flip-+` `div-inv`
3×	`add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`

Counts

1 → 89

Calls

1 calls:

80.0ms

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

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify1.4s

Counts

92 → 92

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	147	2415
1	326	1867
2	668	1618
3	1979	1383
done	5001	1197

prune110.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.33333333333333337 (pow x 3))
9.7b	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 43

Calls

2 calls:

12.0ms	(* 0.33333333333333337 (pow x 3))
0.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* 0.33333333333333337 (pow x 3))
96.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify1.3s

Counts

49 → 49

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	70	445
1	141	409
2	388	369
3	1882	369
done	5000	369

prune109.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

99.5% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 31.9b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	25	46
1	32	37
done	32	37

end0.0ms

sample915.0ms

Algorithm

intervals

Results

362.0ms	1763×	body	1280	valid
170.0ms	1226×	body	640	valid
107.0ms	4084×	body	80	valid
59.0ms	618×	body	320	valid
18.0ms	309×	body	160	valid