Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	53×	body	1280	valid
7.0ms	48×	body	640	valid
3.0ms	129×	body	80	valid
2.0ms	18×	body	320	valid
0.0ms	8×	body	160	valid

simplify61.0ms

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: 30.1b

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))))
3.1b	(- (/ 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)))
15.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
67.0ms	(- (/ 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))))
77.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify90.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	251	494
1	731	465
2	2785	460
3	5001	460
done	5001	460

prune147.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
0.0b	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
0.0b	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
3.0b	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
56×	`times-frac`
39×	`add-cube-cbrt`
36×	`unpow-prod-down` `cube-prod`
24×	`difference-of-squares`
14×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube` `sqr-pow`
8×	`associate-/r*` `associate-/r/`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `distribute-lft-out--`
4×	`flip3-+` `flip-+` `div-inv`
3×	`cbrt-undiv` `pow-unpow` `div-exp`
2×	`frac-2neg` `pow-exp` `clear-num` `rem-cube-cbrt`
1×	`difference-cubes` `cube-div` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `unpow3` `flip--`

Counts

4 → 164

Calls

4 calls:

16.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
16.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
18.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
168.0ms	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

series245.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
38.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
47.0ms	(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
125.0ms	(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

simplify74.0ms

Counts

176 → 176

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	591	1674
1	2410	1577
2	5003	1543
done	5003	1543

prune413.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
0.0b	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
0.0b	(pow (+ (exp (* -2.0 x)) 1.0) 3)
3.0b	(- (* (* 2.0 2.0) (/ 2.0 (pow (+ (exp (* -2.0 x)) 1.0) 3))) (pow 1.0 3))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`times-frac`
10×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`unpow-prod-down` `cube-prod` `associate-/r/`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cbrt-undiv` `cube-div` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `unpow3` `pow-exp` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 105

Calls

4 calls:

16.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
16.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
15.0ms	(pow (+ (exp (* -2.0 x)) 1.0) 3)
40.0ms	(- (* (* 2.0 2.0) (/ 2.0 (pow (+ (exp (* -2.0 x)) 1.0) 3))) (pow 1.0 3))

series244.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
39.0ms	(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
42.0ms	(pow (+ (exp (* -2.0 x)) 1.0) 3)
127.0ms	(- (* (* 2.0 2.0) (/ 2.0 (pow (+ (exp (* -2.0 x)) 1.0) 3))) (pow 1.0 3))

simplify59.0ms

Counts

117 → 117

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	355	893
1	1779	829
2	5001	823
done	5001	823

prune336.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ (exp (* -2.0 x)) 1.0) 3)
0.0b	(pow (+ (exp (* -2.0 x)) 1.0) 3)
0.0b	(pow (+ (exp (* -2.0 x)) 1.0) 3)
3.0b	(+ (- (pow 1.0 6)) (/ (* (/ (* 2.0 2.0) (/ (pow (+ (exp (* -2.0 x)) 1.0) 3) 2.0)) (pow 2.0 3)) (pow (+ (exp (* -2.0 x)) 1.0) 3)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod`
9×	`pow-unpow`
8×	`distribute-lft-out` `add-log-exp`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`cube-div`
4×	`flip3-+` `flip-+`
3×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
2×	`sum-log`
1×	`+-commutative` `neg-sub0` `associate-+l-` `distribute-rgt-neg-in` `neg-log`

Counts

4 → 96

Calls

4 calls:

15.0ms	(pow (+ (exp (* -2.0 x)) 1.0) 3)
17.0ms	(pow (+ (exp (* -2.0 x)) 1.0) 3)
15.0ms	(pow (+ (exp (* -2.0 x)) 1.0) 3)
80.0ms	(+ (- (pow 1.0 6)) (/ (* (/ (* 2.0 2.0) (/ (pow (+ (exp (* -2.0 x)) 1.0) 3) 2.0)) (pow 2.0 3)) (pow (+ (exp (* -2.0 x)) 1.0) 3)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(pow (+ (exp (* -2.0 x)) 1.0) 3)
40.0ms	(pow (+ (exp (* -2.0 x)) 1.0) 3)
46.0ms	(pow (+ (exp (* -2.0 x)) 1.0) 3)
120.0ms	(+ (- (pow 1.0 6)) (/ (* (/ (* 2.0 2.0) (/ (pow (+ (exp (* -2.0 x)) 1.0) 3) 2.0)) (pow 2.0 3)) (pow (+ (exp (* -2.0 x)) 1.0) 3)))

simplify51.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	307	948
1	1313	841
2	5001	826
done	5001	826

prune380.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes230.0ms

Accuracy

99.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 28.8b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	40
1	47	40
done	47	40

end0.0ms

sample887.0ms

Algorithm

intervals

Results

344.0ms	1700×	body	1280	valid
166.0ms	1243×	body	640	valid
111.0ms	4170×	body	80	valid
53.0ms	599×	body	320	valid
17.0ms	288×	body	160	valid