Details

sample130.0ms

Algorithm

intervals

Results

57.0ms	103×	body	1280	valid
30.0ms	82×	body	640	valid
17.0ms	258×	body	80	valid
9.0ms	39×	body	320	valid
3.0ms	21×	body	160	valid

simplify40.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	38
6	38
5	37
4	35
3	31
2	24
1	14
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize20.0ms

Local error

Found 1 expressions with local error:

6.3b	(- (exp x) (exp (- x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 15

Calls

1 calls:

17.0ms

(- (exp x) (exp (- x)))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(- (exp x) (exp (- x)))

simplify1.2s

Counts

18 → 18

Iterations

Iter	Nodes
done	2001
5	2001
4	1932
3	723
2	277
1	111
0	47

prune114.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ 2 (* 1/3 (* x x))))
0.0b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (* x x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`associate-r`
10×	`pow1`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`prod-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

3 → 69

Calls

3 calls:

11.0ms	(* x (+ 2 (* 1/3 (* x x))))
12.0ms	(* 1/60 (pow x 5))
13.0ms	(* 1/3 (* x x))

series219.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(* x (+ 2 (* 1/3 (* x x))))
77.0ms	(* 1/60 (pow x 5))
42.0ms	(* 1/3 (* x x))

simplify908.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	2015
3	2015
2	1256
1	358
0	122

prune527.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* x (* 1/3 (* x x)))
0.2b	(* 1/3 (* x x))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
14×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`associate-r` `associate-l` `pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 68

Calls

3 calls:

8.0ms	(* 1/60 (pow x 5))
32.0ms	(* x (* 1/3 (* x x)))
17.0ms	(* 1/3 (* x x))

series158.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* 1/60 (pow x 5))
58.0ms	(* x (* 1/3 (* x x)))
33.0ms	(* 1/3 (* x x))

simplify882.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	2147
3	2147
2	803
1	259
0	104

prune674.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.3s	3440×	body	1280	valid
803.0ms	2402×	body	640	valid
598.0ms	8110×	body	80	valid
297.0ms	1246×	body	320	valid
87.0ms	627×	body	160	valid