Details

sample79.0ms

Algorithm

intervals

Results

29.0ms	56×	body	1280	valid
14.0ms	38×	body	640	valid
9.0ms	133×	body	80	valid
5.0ms	20×	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	30	10
4	53	10
5	115	10
6	270	10
7	776	10
8	2948	10
done	5001	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize21.0ms

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)

rewrite162.0ms

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:

13.0ms	(+ 1.0 (exp (* -2.0 x)))
25.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
121.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series218.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ 1.0 (exp (* -2.0 x)))
59.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
125.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify3.4s

Counts

69 → 69

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	116	947
1	252	903
2	554	847
3	1216	838
4	3540	836
done	5001	836

prune187.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(+ 1.0 (exp (* -2.0 x)))
0.5b	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
2.6b	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite504.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
31×	`times-frac`
21×	`sqrt-prod`
20×	`add-cube-cbrt`
10×	`add-log-exp`
7×	`associate-/r*` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`pow1`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`+-commutative` `sqrt-div` `sum-log` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 89

Calls

4 calls:

15.0ms	(+ 1.0 (exp (* -2.0 x)))
14.0ms	(+ 1.0 (exp (* -2.0 x)))
34.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
434.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series313.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 1.0 (exp (* -2.0 x)))
30.0ms	(+ 1.0 (exp (* -2.0 x)))
128.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
123.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify1.6s

Counts

101 → 101

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	156	1841
1	321	1560
2	725	1399
3	1967	1388
done	5000	1384

prune266.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
0.1b	(* 0.33333333333333337 (pow x 3))
0.9b	(* 5.551115123125783e-17 (pow x 4))
8.6b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+` `associate--r+`

Counts

4 → 81

Calls

4 calls:

17.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
24.0ms	(* 0.33333333333333337 (pow x 3))
22.0ms	(* 5.551115123125783e-17 (pow x 4))
10.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
50.0ms	(* 0.33333333333333337 (pow x 3))
44.0ms	(* 5.551115123125783e-17 (pow x 4))
125.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify4.6s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	139	1119
1	342	995
2	1057	942
3	4965	938
done	5000	938

prune258.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes212.0ms

Accuracy

98.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 29.8b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	28	65
1	37	47
done	37	47

end0.0ms

sample2.3s

Algorithm

intervals

Results

760.0ms	1772×	body	1280	valid
713.0ms	1203×	body	640	valid
274.0ms	4111×	body	80	valid
141.0ms	597×	body	320	valid
36.0ms	317×	body	160	valid