Details

sample75.0ms

Algorithm

intervals

Results

33.0ms	61×	body	1280	valid
13.0ms	39×	body	640	valid
9.0ms	122×	body	80	valid
6.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1221
6	304
5	131
4	57
3	32
2	23
1	18
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`times-frac`
11×	`add-cube-cbrt`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `distribute-lft-out` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `difference-of-sqr-1` `associate-/r/` `insert-posit16`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `div-exp` `flip-+` `div-inv` `flip--` `distribute-lft-out--`

Counts

2 → 54

Calls

2 calls:

22.0ms	(/ 2 (+ 1 (exp (* -2 x))))
97.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series127.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ 2 (+ 1 (exp (* -2 x))))
100.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.6s

Counts

60 → 60

Iterations

Iter	Nodes
done	5167
3	2081
2	615
1	243
0	107

prune255.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 5) 2/15)
0.1b	(* x (* x x))
0.1b	(* -1/3 (* x (* x x)))
16.9b	(+ (* -1/3 (* x (* x x))) (* (pow x 5) 2/15))

rewrite141.0ms

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`
6×	`add-log-exp`
5×	`associate-r` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow2` `pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `flip-+`

Counts

4 → 85

Calls

4 calls:

8.0ms	(* (pow x 5) 2/15)
20.0ms	(* x (* x x))
43.0ms	(* -1/3 (* x (* x x)))
68.0ms	(+ (* -1/3 (* x (* x x))) (* (pow x 5) 2/15))

series474.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (pow x 5) 2/15)
67.0ms	(* x (* x x))
78.0ms	(* -1/3 (* x (* x x)))
247.0ms	(+ (* -1/3 (* x (* x x))) (* (pow x 5) 2/15))

simplify1.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1232
1	321
0	125

prune319.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`times-frac`
11×	`add-cube-cbrt`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `distribute-lft-out` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `difference-of-sqr-1` `associate-/r/` `insert-posit16`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `div-exp` `flip-+` `div-inv` `flip--` `distribute-lft-out--`

Counts

2 → 54

Calls

2 calls:

12.0ms	(/ 2 (+ (exp (* -2 x)) 1))
77.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

series83.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ 2 (+ (exp (* -2 x)) 1))
61.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

simplify1.4s

Counts

60 → 60

Iterations

Iter	Nodes
done	5136
3	1696
2	595
1	238
0	104

prune260.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes232.0ms

Accuracy

98.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 31.3b

bsearch1.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	37
1	37
0	25

end0.0ms

sample2.8s

Algorithm

intervals

Results

953.0ms	1233×	body	640	valid
910.0ms	1708×	body	1280	valid
412.0ms	4112×	body	80	valid
226.0ms	625×	body	320	valid
79.0ms	322×	body	160	valid