Details

sample33.0ms

Algorithm

intervals

Results

13.0ms	51×	body	1280	valid
5.0ms	43×	body	640	valid
3.0ms	136×	body	80	valid
1.0ms	13×	body	320	valid
1.0ms	13×	body	160	valid

simplify59.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	30	5
3	52	5
4	114	5
5	322	5
6	1627	5
7	5002	5
done	5002	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
3.2b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-log-exp`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `times-frac` `diff-log` `sum-log` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--`

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ 1.0 (exp (* -2.0 x)))
64.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series95.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ 1.0 (exp (* -2.0 x)))
78.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify50.0ms

Counts

33 → 33

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	183	242
1	457	222
2	1597	217
3	5001	217
done	5001	217

prune78.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp (* -2.0 x))))
0.0b	(sqrt (+ 1.0 (exp (* -2.0 x))))
0.5b	(* (sqrt (+ 1.0 (exp (* -2.0 x)))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
3.2b	(- (/ 2.0 (* (sqrt (+ 1.0 (exp (* -2.0 x)))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) 1.0)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
32×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
8×	`flip3-+` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `difference-of-squares`
1×	`pow2` `sub-neg` `flip3--` `times-frac` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 109

Calls

4 calls:

9.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
9.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
50.0ms	(* (sqrt (+ 1.0 (exp (* -2.0 x)))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
66.0ms	(- (/ 2.0 (* (sqrt (+ 1.0 (exp (* -2.0 x)))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) 1.0)

series183.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
45.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
16.0ms	(* (sqrt (+ 1.0 (exp (* -2.0 x)))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
81.0ms	(- (/ 2.0 (* (sqrt (+ 1.0 (exp (* -2.0 x)))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) 1.0)

simplify43.0ms

Counts

121 → 121

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	295	1011
1	1036	921
2	5002	850
done	5002	850

prune240.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (+ 1.0 (exp (* -2.0 x))) 3))
0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(pow (+ 1.0 (exp (* -2.0 x))) 3)
3.2b	(- (/ 2.0 (cbrt (pow (+ 1.0 (exp (* -2.0 x))) 3))) 1.0)

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`cbrt-prod`
10×	`add-cube-cbrt`
9×	`unpow-prod-down` `cube-prod`
8×	`add-log-exp`
6×	`difference-of-squares`
5×	`pow1` `add-exp-log` `times-frac` `add-cbrt-cube` `distribute-lft-out`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `flip-+` `sqr-pow`
2×	`cube-mult` `cbrt-div` `unpow3`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `pow1/3` `diff-log` `pow-exp` `sum-log` `flip--` `rem-cbrt-cube` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 83

Calls

4 calls:

11.0ms	(cbrt (pow (+ 1.0 (exp (* -2.0 x))) 3))
7.0ms	(+ 1.0 (exp (* -2.0 x)))
12.0ms	(pow (+ 1.0 (exp (* -2.0 x))) 3)
153.0ms	(- (/ 2.0 (cbrt (pow (+ 1.0 (exp (* -2.0 x))) 3))) 1.0)

series156.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt (pow (+ 1.0 (exp (* -2.0 x))) 3))
17.0ms	(+ 1.0 (exp (* -2.0 x)))
47.0ms	(pow (+ 1.0 (exp (* -2.0 x))) 3)
76.0ms	(- (/ 2.0 (cbrt (pow (+ 1.0 (exp (* -2.0 x))) 3))) 1.0)

simplify42.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	322	718
1	1228	678
2	5001	655
done	5001	655

prune180.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(+ (* 2.0 (/ 1 (+ (exp (* -2.0 x)) 1.0))) 1.0)
3.2b	(+ (- (* 1.0 1.0)) (/ (/ (* 2.0 2.0) (+ 1.0 (exp (* -2.0 x)))) (+ 1.0 (exp (* -2.0 x)))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
10×	`*-un-lft-identity`
5×	`sum-log`
4×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`distribute-lft-out`
1×	`neg-sub0` `associate-+l-` `neg-log`

Counts

4 → 49

Calls

4 calls:

6.0ms	(+ 1.0 (exp (* -2.0 x)))
6.0ms	(+ 1.0 (exp (* -2.0 x)))
16.0ms	(+ (* 2.0 (/ 1 (+ (exp (* -2.0 x)) 1.0))) 1.0)
57.0ms	(+ (- (* 1.0 1.0)) (/ (/ (* 2.0 2.0) (+ 1.0 (exp (* -2.0 x)))) (+ 1.0 (exp (* -2.0 x)))))

series181.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ 1.0 (exp (* -2.0 x)))
17.0ms	(+ 1.0 (exp (* -2.0 x)))
60.0ms	(+ (* 2.0 (/ 1 (+ (exp (* -2.0 x)) 1.0))) 1.0)
88.0ms	(+ (- (* 1.0 1.0)) (/ (/ (* 2.0 2.0) (+ 1.0 (exp (* -2.0 x)))) (+ 1.0 (exp (* -2.0 x)))))

simplify37.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	294	578
1	1015	502
2	5001	476
done	5001	476

prune176.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 28.9b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	47
1	59	47
done	59	47

end0.0ms

sample879.0ms

Algorithm

intervals

Results

346.0ms	1700×	body	1280	valid
160.0ms	1222×	body	640	valid
105.0ms	4153×	body	80	valid
58.0ms	635×	body	320	valid
16.0ms	290×	body	160	valid