Details

sample68.0ms

Algorithm

intervals

Results

28.0ms	51×	body	1280	valid
12.0ms	50×	body	640	valid
6.0ms	124×	body	80	valid
4.0ms	24×	body	320	valid
1.0ms	7×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	31	10
4	55	10
5	122	10
6	454	10
7	3403	10
done	5001	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.6b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
61×	`add-cube-cbrt` `times-frac`
54×	`prod-diff`
18×	`fma-neg`
16×	`distribute-lft-out`
10×	`associate-/r/`
5×	`flip3-+` `flip-+` `div-inv`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `distribute-lft-out--`

Counts

2 → 124

Calls

2 calls:

16.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
127.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series145.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
93.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify921.0ms

Counts

130 → 130

Iterations

Useful iterations: done (915.0ms)

Iter	Nodes	Cost
0	169	2922
1	397	2358
2	1163	2078
done	5001	1915

prune314.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.33333333333333337 (pow x 3))
9.5b	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite15.0ms

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:

14.0ms	(* 0.33333333333333337 (pow x 3))
0.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series209.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* 0.33333333333333337 (pow x 3))
158.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify1.1s

Counts

49 → 49

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	70	445
1	159	409
2	595	371
done	5000	369

prune178.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
2.6b	(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
61×	`add-cube-cbrt` `times-frac`
54×	`prod-diff`
18×	`fma-neg`
16×	`distribute-lft-out`
10×	`associate-/r/`
5×	`flip3-+` `flip-+` `div-inv`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `distribute-lft-out--`

Counts

2 → 124

Calls

2 calls:

33.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
162.0ms	(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

series146.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
104.0ms	(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

simplify834.0ms

Counts

130 → 130

Iterations

Useful iterations: done (827.0ms)

Iter	Nodes	Cost
0	166	2922
1	392	2367
2	1156	2072
done	5000	1915

prune263.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 32.3b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	25	46
1	31	37
done	31	37

end0.0ms

sample1.7s

Algorithm

intervals

Results

705.0ms	1673×	body	1280	valid
314.0ms	4132×	body	80	valid
305.0ms	1270×	body	640	valid
97.0ms	603×	body	320	valid
31.0ms	322×	body	160	valid