Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	47×	body	1280	valid
7.0ms	41×	body	640	valid
5.0ms	131×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	17×	body	160	valid

simplify3.0s

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	122	10
6	454	10
7	3403	10
done	5001	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite176.0ms

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:

21.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
142.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series154.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
104.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify945.0ms

Counts

130 → 130

Iterations

Useful iterations: done (931.0ms)

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

prune371.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
3.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
3.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
3.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite506.0ms

Algorithm

rewrite-expression-head

Rules

235×	`*-un-lft-identity`
175×	`add-sqr-sqrt`
162×	`prod-diff`
155×	`add-cube-cbrt`
148×	`times-frac`
54×	`fma-neg`
36×	`distribute-lft-out`
24×	`associate-/r/`
12×	`flip3-+` `flip-+` `div-inv`
10×	`add-log-exp`
8×	`difference-of-squares`
6×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 285

Calls

4 calls:

35.0ms	(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
140.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
130.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
163.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series598.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
88.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
107.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
113.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify754.0ms

Counts

297 → 297

Iterations

Useful iterations: done (735.0ms)

Iter	Nodes	Cost
0	183	7676
1	408	6078
2	1100	5261
done	5000	4596

prune815.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.33333333333333337 (pow x 3))
10.3b	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite17.0ms

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:

15.0ms	(* 0.33333333333333337 (pow x 3))
1.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series181.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* 0.33333333333333337 (pow x 3))
136.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify550.0ms

Counts

49 → 49

Iterations

Useful iterations: done (548.0ms)

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

prune208.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

95.4% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 29.6b

bsearch3.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	28	96
1	35	62
done	35	62

end0.0ms

sample2.0s

Algorithm

intervals

Results

662.0ms	1689×	body	1280	valid
621.0ms	4054×	body	80	valid
260.0ms	1285×	body	640	valid
130.0ms	635×	body	320	valid
30.0ms	337×	body	160	valid