Details

sample60.0ms

Algorithm

intervals

Results

18.0ms	43×	body	1280	valid
11.0ms	36×	body	640	valid
8.0ms	147×	body	80	valid
5.0ms	21×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.2s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite174.0ms

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:

163.0ms

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

series127.0ms

Counts

1 → 3

Calls

1 calls:

127.0ms

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

simplify2.7s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	147	2415
1	340	1885
2	892	1624
3	4124	1395
done	5000	1395

prune212.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite139.0ms

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:

134.0ms

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

series105.0ms

Counts

1 → 3

Calls

1 calls:

105.0ms

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

simplify2.8s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	145	2415
1	335	1894
2	887	1618
3	4498	1287
done	5000	1287

prune127.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.33333333333333337 (pow x 3))
8.6b	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite16.0ms

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)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* 0.33333333333333337 (pow x 3))
106.0ms	(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify601.0ms

Counts

49 → 49

Iterations

Useful iterations: done (599.0ms)

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

prune131.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

Accuracy

99.6% (0.1b remaining)

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

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

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

end0.0ms

sample1.9s

Algorithm

intervals

Results

923.0ms	1676×	body	1280	valid
338.0ms	1278×	body	640	valid
239.0ms	4056×	body	80	valid
123.0ms	663×	body	320	valid
31.0ms	327×	body	160	valid