Details

sample33.0ms

Algorithm

intervals

Results

12.0ms	57×	body	1280	valid
5.0ms	35×	body	640	valid
4.0ms	131×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	13×	body	160	valid

simplify2.0s

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	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: 29.1b

localize7.0ms

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))))
3.6b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite91.0ms

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:

6.0ms	(+ 1.0 (exp (* -2.0 x)))
13.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
69.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series131.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ 1.0 (exp (* -2.0 x)))
36.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
79.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.0s

Counts

69 → 69

Iterations

Useful iterations: 4 (848.0ms)

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

prune149.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3)
0.1b	(cbrt (pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3))
3.6b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`cbrt-prod`
17×	`times-frac`
12×	`unpow-prod-down` `cube-prod`
10×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `distribute-lft-out--`
4×	`cube-div` `associate-/r*` `distribute-lft-out`
3×	`pow-unpow` `flip3--` `flip--` `associate-/l*`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-/r/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `diff-log` `div-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `flip-+` `div-inv` `rem-cube-cbrt`

Counts

4 → 108

Calls

4 calls:

14.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
72.0ms	(pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3)
60.0ms	(cbrt (pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3))
68.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series309.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
117.0ms	(pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3)
77.0ms	(cbrt (pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3))
76.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify580.0ms

Counts

120 → 120

Iterations

Useful iterations: done (576.0ms)

Iter	Nodes	Cost
0	168	2272
1	384	2004
2	1013	1855
done	5000	1832

prune238.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

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))))
3.6b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite88.0ms

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:

7.0ms	(+ 1.0 (exp (* -2.0 x)))
13.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
66.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series128.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ 1.0 (exp (* -2.0 x)))
35.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
76.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.0s

Counts

69 → 69

Iterations

Useful iterations: 4 (820.0ms)

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

prune132.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
3.6b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
3.6b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
3.6b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`difference-of-squares`
6×	`cbrt-prod`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 61

Calls

4 calls:

29.0ms	(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
63.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
65.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
66.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series420.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
76.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
75.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
75.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.0s

Counts

73 → 73

Iterations

Useful iterations: 4 (804.0ms)

Iter	Nodes	Cost
0	89	1313
1	184	1298
2	386	1191
3	1027	1112
4	3983	1099
done	5000	1099

prune201.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes323.0ms

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	28	53
1	37	41
done	37	41

end0.0ms

sample933.0ms

Algorithm

intervals

Results

361.0ms	1725×	body	1280	valid
180.0ms	1265×	body	640	valid
108.0ms	4067×	body	80	valid
62.0ms	621×	body	320	valid
19.0ms	322×	body	160	valid