Details

sample83.0ms

Algorithm

intervals

Results

27.0ms	56×	body	1280	valid
23.0ms	40×	body	640	valid
9.0ms	119×	body	80	valid
9.0ms	33×	body	320	valid
1.0ms	8×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	3027
7	794
6	244
5	100
4	50
3	29
2	22
1	18
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (exp (* -2 x)))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
3.1b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
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 → 67

Calls

3 calls:

5.0ms	(+ 1 (exp (* -2 x)))
11.0ms	(/ 2 (+ 1 (exp (* -2 x))))
57.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series129.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ 1 (exp (* -2 x)))
38.0ms	(/ 2 (+ 1 (exp (* -2 x))))
73.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify2.1s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	1850
2	676
1	282
0	120

prune291.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* (pow x 5) 2/15)
0.1b	(* -1/3 (* x (* x x)))
18.0b	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* x (* x x))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`associate-l`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
5×	`associate-r` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow2` `pow-to-exp` `+-commutative` `associate-+l+` `flip3-+` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `flip-+`

Counts

4 → 87

Calls

4 calls:

27.0ms	(* x (* x x))
16.0ms	(* (pow x 5) 2/15)
73.0ms	(* -1/3 (* x (* x x)))
74.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* x (* x x))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* x (* x x))
76.0ms	(* (pow x 5) 2/15)
56.0ms	(* -1/3 (* x (* x x)))
113.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* x (* x x))))

simplify1.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1215
1	336
0	133

prune356.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp (* -2 x)))
0.0b	(/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x)))))
0.5b	(/ 2 (sqrt (+ 1 (exp (* -2 x)))))
3.1b	(- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

408×	`times-frac`
311×	`*-un-lft-identity`
246×	`add-sqr-sqrt`
239×	`sqrt-prod`
188×	`add-cube-cbrt`
57×	`distribute-lft-out`
30×	`associate-/l*`
20×	`sqrt-div` `associate-/r/`
14×	`associate-/r*` `difference-of-squares`
11×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
10×	`div-inv`
8×	`add-log-exp`
7×	`difference-of-sqr-1`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 335

Calls

4 calls:

12.0ms	(+ 1 (exp (* -2 x)))
31.0ms	(/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x)))))
12.0ms	(/ 2 (sqrt (+ 1 (exp (* -2 x)))))
146.0ms	(- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)

series200.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ 1 (exp (* -2 x)))
31.0ms	(/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x)))))
66.0ms	(/ 2 (sqrt (+ 1 (exp (* -2 x)))))
86.0ms	(- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)

simplify2.2s

Counts

347 → 347

Iterations

Iter	Nodes
done	5002
2	1986
1	829
0	357

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes260.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 30.2b

bsearch2.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	39
1	39
0	27

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	1776×	body	1280	valid
621.0ms	1256×	body	640	valid
344.0ms	3972×	body	80	valid
226.0ms	650×	body	320	valid
60.0ms	346×	body	160	valid