Details

sample39.0ms

Algorithm

intervals

Results

14.0ms	55×	body	1280	valid
5.0ms	31×	body	640	valid
5.0ms	143×	body	80	valid
2.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	234
1	15	234
2	20	234
3	27	234
4	48	234
5	97	234
6	223	234
7	880	234
8	3495	234
done	5002	234

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(+ 1.0 (exp (* -2.0 x)))
1.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite109.0ms

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-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 60

Calls

3 calls:

24.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
13.0ms	(+ 1.0 (exp (* -2.0 x)))
70.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series198.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
18.0ms	(+ 1.0 (exp (* -2.0 x)))
123.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.5s

Counts

69 → 69

Iterations

Useful iterations: 3 (993.0ms)

Iter	Nodes	Cost
0	116	22761
1	261	20878
2	722	20556
3	2207	20358
done	5000	20358

prune412.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(+ 1.0 (exp (* -2.0 x)))
1.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
1.8b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
14×	`times-frac`
8×	`add-log-exp`
7×	`log-pow`
6×	`exp-prod` `add-cbrt-cube` `add-exp-log`
5×	`pow1` `log-prod` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`associate-/l*`
2×	`sub-neg` `flip3-+` `exp-sum` `associate-/r/` `flip-+` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `log-div` `clear-num` `sum-log` `frac-2neg` `flip3--` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `div-inv` `flip--`

Counts

4 → 81

Calls

4 calls:

24.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
11.0ms	(+ 1.0 (exp (* -2.0 x)))
92.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
230.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
18.0ms	(+ 1.0 (exp (* -2.0 x)))
111.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
104.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

simplify2.8s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	145	33293
1	319	28078
2	810	27694
3	2270	27456
done	5003	27456

prune589.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
1.8b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
1.8b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
1.8b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

rewrite628.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
21×	`log-pow`
18×	`exp-prod` `*-un-lft-identity`
15×	`log-prod`
10×	`add-cube-cbrt`
8×	`difference-of-squares`
7×	`pow1`
6×	`exp-sum` `add-log-exp`
4×	`sub-neg` `times-frac` `add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
3×	`log-div` `exp-diff` `rem-log-exp`
1×	`flip3--` `diff-log` `flip--`

Counts

4 → 78

Calls

4 calls:

77.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
196.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
193.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
159.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
101.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
108.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
128.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

simplify3.2s

Counts

90 → 90

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	84	38533
1	174	29028
2	362	27596
3	908	27596
4	2777	27436
done	5000	27436

prune736.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
1.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
1.8b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
1.8b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

rewrite572.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`log-pow`
12×	`exp-prod`
10×	`log-prod`
8×	`add-cube-cbrt` `add-log-exp` `difference-of-squares`
6×	`pow1`
4×	`sub-neg` `times-frac` `add-cbrt-cube` `exp-sum` `add-exp-log` `distribute-lft-out--`
2×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 72

Calls

4 calls:

73.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
114.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
181.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
201.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
102.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
95.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
97.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

simplify3.1s

Counts

84 → 84

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	84	34938
1	174	27932
2	362	26640
3	908	26640
4	2777	26480
done	5000	26480

prune721.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes835.0ms

Accuracy

99.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.2b

bsearch2.0ms

simplify21.0ms

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	44	1779
1	56	1779
done	56	1779

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	1752×	body	1280	valid
395.0ms	1232×	body	640	valid
226.0ms	4110×	body	80	valid
157.0ms	585×	body	320	valid
38.0ms	321×	body	160	valid