Details

sample84.0ms

Algorithm

intervals

Results

43.0ms	71×	body	1280	valid
12.0ms	32×	body	640	valid
10.0ms	124×	body	80	valid
5.0ms	19×	body	320	valid
2.0ms	10×	body	160	valid

simplify747.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
7	794
6	244
5	100
4	50
3	29
2	22
1	18
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (exp (* -2 x)))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
2.7b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite116.0ms

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:

6.0ms	(+ 1 (exp (* -2 x)))
11.0ms	(/ 2 (+ 1 (exp (* -2 x))))
99.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series97.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ 1 (exp (* -2 x)))
25.0ms	(/ 2 (+ 1 (exp (* -2 x))))
59.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.2s

Counts

76 → 76

Iterations

Iter	Nodes
done	2007
3	1850
2	676
1	282
0	120

prune315.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow x 5) 2/15)
0.1b	(* x (* x x))
0.1b	(* -1/3 (* x (* x x)))
18.1b	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* x (* x x))))

rewrite136.0ms

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:

9.0ms	(* (pow x 5) 2/15)
22.0ms	(* x (* x x))
50.0ms	(* -1/3 (* x (* x x)))
54.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* x (* x x))))

series300.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (pow x 5) 2/15)
61.0ms	(* x (* x x))
59.0ms	(* -1/3 (* x (* x x)))
75.0ms	(+ (+ (* (pow x 5) 2/15) x) (* -1/3 (* x (* x x))))

simplify786.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	2000
2	1212
1	335
0	133

prune374.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (exp (* x -2)))
0.0b	(/ 2 (+ 1 (exp (* x -2))))
2.7b	(- (/ 2 (+ 1 (exp (* x -2)))) 1)

rewrite125.0ms

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 (* x -2)))
21.0ms	(/ 2 (+ 1 (exp (* x -2))))
89.0ms	(- (/ 2 (+ 1 (exp (* x -2)))) 1)

series123.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ 1 (exp (* x -2)))
35.0ms	(/ 2 (+ 1 (exp (* x -2))))
62.0ms	(- (/ 2 (+ 1 (exp (* x -2)))) 1)

simplify881.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	2001
2	873
1	288
0	122

prune306.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes144.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 30.8b

bsearch144.0ms

Steps

Iters	Range		Point
10	3.002651438712696e-12	0.5242927222148749	0.00711599847374152
8	-47.38996029558802	-0.0015977726548224043	-0.00729937700901299

simplify12.0ms

Iterations

Iter	Nodes
done	37
1	37
0	25

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.0s	1757×	body	1280	valid
760.0ms	4031×	body	80	valid
549.0ms	1239×	body	640	valid
199.0ms	645×	body	320	valid
56.0ms	328×	body	160	valid