Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	55×	body	1280	valid
7.0ms	47×	body	640	valid
3.0ms	126×	body	80	valid
2.0ms	20×	body	320	valid
0.0ms	8×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	30	10
4	53	10
5	111	10
6	256	10
7	719	10
8	2453	10
done	5001	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

3 → 60

Calls

3 calls:

3.0ms	(+ 1.0 (exp (* -2.0 x)))
6.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
32.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series132.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ 1.0 (exp (* -2.0 x)))
39.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
77.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify1.9s

Counts

69 → 69

Iterations

Useful iterations: 4 (960.0ms)

Iter	Nodes	Cost
0	116	947
1	252	903
2	538	847
3	1287	838
4	3800	836
done	5000	836

prune146.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-l`
6×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `unswap-sqr`
3×	`associate-r` `prod-exp` `add-cbrt-cube`
2×	`associate-*r/` `sqr-pow`
1×	`pow1` `distribute-rgt-in` `cube-mult` `pow-to-exp` `distribute-lft-in` `flip3-+` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

14.0ms

(* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337))

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337))

simplify1.6s

Counts

38 → 38

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	69	483
1	223	455
2	861	417
done	5000	417

prune76.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ 1.0 (exp (* -2.0 x))))
0.5b	(cbrt (+ 1.0 (exp (* -2.0 x))))
0.5b	(cbrt (+ 1.0 (exp (* -2.0 x))))
2.6b	(- (* (/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) (/ 2.0 (cbrt (+ 1.0 (exp (* -2.0 x)))))) 1.0)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 54

Calls

4 calls:

2.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
2.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
2.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
59.0ms	(- (* (/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) (/ 2.0 (cbrt (+ 1.0 (exp (* -2.0 x)))))) 1.0)

series473.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
133.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
127.0ms	(cbrt (+ 1.0 (exp (* -2.0 x))))
79.0ms	(- (* (/ 1 (* (cbrt (+ 1.0 (exp (* -2.0 x)))) (cbrt (+ 1.0 (exp (* -2.0 x)))))) (/ 2.0 (cbrt (+ 1.0 (exp (* -2.0 x)))))) 1.0)

simplify1.4s

Counts

66 → 66

Iterations

Useful iterations: 3 (347.0ms)

Iter	Nodes	Cost
0	93	1310
1	221	1265
2	655	987
3	2527	802
done	5000	802

prune169.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes149.0ms

Accuracy

99.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 32.2b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	29	83
1	41	55
done	41	55

end0.0ms

sample857.0ms

Algorithm

intervals

Results

350.0ms	1646×	body	1280	valid
171.0ms	1260×	body	640	valid
108.0ms	4136×	body	80	valid
58.0ms	620×	body	320	valid
20.0ms	338×	body	160	valid