Details

sample63.0ms

Algorithm

intervals

Results

28.0ms	59×	body	1280	valid
7.0ms	33×	body	640	valid
6.0ms	129×	body	80	valid
4.0ms	23×	body	320	valid
1.0ms	12×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	15	10
2	22	10
3	30	10
4	53	10
5	117	10
6	441	10
7	3433	10
done	5000	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize14.0ms

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))))
3.5b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite154.0ms

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:

15.0ms	(+ 1.0 (exp (* -2.0 x)))
33.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
102.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series189.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ 1.0 (exp (* -2.0 x)))
53.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
106.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.9s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	116	947
1	261	903
2	923	849
3	4729	838
done	5000	838

prune201.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.4b	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
36×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-/r*` `distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

30.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
31.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
22.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
39.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series318.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
47.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
58.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
150.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify4.0s

Counts

124 → 124

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	108	1935
1	253	1859
2	873	1626
3	4935	1606
done	5001	1606

prune491.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.5b	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
3.4b	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
45×	`times-frac`
38×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`sqrt-prod`
15×	`associate-/r*`
12×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
2×	`sqrt-div`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 124

Calls

4 calls:

15.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
27.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
22.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
28.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series331.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
44.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
90.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
136.0ms	(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify739.0ms

Counts

136 → 136

Iterations

Useful iterations: done (730.0ms)

Iter	Nodes	Cost
0	171	2238
1	371	2110
2	1349	1938
done	5001	1923

prune879.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0) (+ 1.0 (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))))
0.0b	(pow (+ (exp (* -2.0 x)) 1.0) 2)
0.5b	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
3.4b	(- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0)

rewrite978.0ms

Algorithm

rewrite-expression-head

Rules

109×	`add-sqr-sqrt`
81×	`times-frac`
79×	`*-un-lft-identity`
37×	`add-cube-cbrt`
30×	`difference-of-squares`
16×	`sqrt-prod`
15×	`distribute-lft-out`
12×	`associate-/l*`
11×	`associate-/r*`
10×	`unpow-prod-down`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`unpow2` `sqr-pow`
6×	`distribute-lft-out--` `add-log-exp`
5×	`pow1`
4×	`associate-/r/`
3×	`pow-unpow`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `sqrt-div` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`pow-to-exp` `sub-neg` `pow-pow` `diff-log` `div-sub` `pow-exp`

Counts

4 → 148

Calls

4 calls:

700.0ms	(/ (- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0) (+ 1.0 (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))))
17.0ms	(pow (+ (exp (* -2.0 x)) 1.0) 2)
22.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
226.0ms	(- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0)

series501.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(/ (- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0) (+ 1.0 (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))))
37.0ms	(pow (+ (exp (* -2.0 x)) 1.0) 2)
88.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
127.0ms	(- (/ 4.0 (pow (+ (exp (* -2.0 x)) 1.0) 2)) 1.0)

simplify1.2s

Counts

160 → 160

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	278	5031
1	639	3905
2	2374	3717
done	5002	3713

prune575.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes306.0ms

Accuracy

99.9% (0.0b remaining)

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

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	129
1	49	129
done	49	129

end0.0ms

sample1.7s

Algorithm

intervals

Results

628.0ms	1739×	body	1280	valid
321.0ms	4061×	body	80	valid
272.0ms	1279×	body	640	valid
91.0ms	615×	body	320	valid
62.0ms	306×	body	160	valid