Details

sample92.0ms

Algorithm

intervals

Results

33.0ms	56×	body	1280	valid
24.0ms	40×	body	640	valid
11.0ms	119×	body	80	valid
9.0ms	33×	body	320	valid
2.0ms	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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize26.0ms

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)

rewrite241.0ms

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:

13.0ms	(+ 1 (exp (* -2 x)))
27.0ms	(/ 2 (+ 1 (exp (* -2 x))))
198.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series114.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ 1 (exp (* -2 x)))
41.0ms	(/ 2 (+ 1 (exp (* -2 x))))
60.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify2.1s

Counts

76 → 76

Iterations

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

prune298.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

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))))

rewrite688.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

42.0ms	(* x (* x x))
27.0ms	(* (pow x 5) 2/15)
146.0ms	(* -1/3 (* x (* x x)))
468.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* x (* x x))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* x (* x x))
61.0ms	(* (pow x 5) 2/15)
56.0ms	(* -1/3 (* x (* x x)))
92.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* x (* x x))))

simplify1.6s

Counts

159 → 159

Iterations

Iter	Nodes
done	5008
2	1962
1	497
0	178

prune627.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)

rewrite797.0ms

Algorithm

rewrite-expression-head

Rules

408×	`times-frac`
316×	`*-un-lft-identity`
249×	`add-sqr-sqrt`
243×	`sqrt-prod`
191×	`add-cube-cbrt`
58×	`distribute-lft-out`
33×	`associate-/l*`
21×	`associate-/r*`
20×	`sqrt-div` `associate-/r/`
14×	`difference-of-squares`
13×	`associate-/l/`
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`
3×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 347

Calls

4 calls:

24.0ms	(+ 1 (exp (* -2 x)))
98.0ms	(/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x)))))
43.0ms	(/ 2 (sqrt (+ 1 (exp (* -2 x)))))
600.0ms	(- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)

series219.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ 1 (exp (* -2 x)))
36.0ms	(/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x)))))
100.0ms	(/ 2 (sqrt (+ 1 (exp (* -2 x)))))
63.0ms	(- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)

simplify2.0s

Counts

359 → 359

Iterations

Iter	Nodes
done	5000
2	2036
1	840
0	364

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes224.0ms

Accuracy

99.7% (0.1b remaining)

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

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	39
1	39
0	27

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	1776×	body	1280	valid
969.0ms	1256×	body	640	valid
444.0ms	3972×	body	80	valid
246.0ms	650×	body	320	valid
65.0ms	346×	body	160	valid