Details

sample123.0ms

Algorithm

intervals

Results

55.0ms	103×	body	1280	valid
27.0ms	80×	body	640	valid
15.0ms	245×	body	80	valid
10.0ms	42×	body	320	valid
4.0ms	24×	body	160	valid

simplify46.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize19.0ms

Local error

Found 1 expressions with local error:

7.8b	(- (exp x) (exp (- x)))

rewrite16.0ms

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:

16.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify1.5s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
4	1932
3	723
2	277
1	111
0	47

prune70.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ (* 1/3 (* x x)) 2))
0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (* x x))

rewrite101.0ms

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:

61.0ms	(* x (+ (* 1/3 (* x x)) 2))
17.0ms	(* 1/60 (pow x 5))
21.0ms	(* 1/3 (* x x))

series207.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(* x (+ (* 1/3 (* x x)) 2))
68.0ms	(* 1/60 (pow x 5))
32.0ms	(* 1/3 (* x x))

simplify1.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5003
2	1248
1	359
0	122

prune282.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
14×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
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))
40.0ms	(* (* 1/3 (* x x)) x)
13.0ms	(* 1/3 (* x x))

series147.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* 1/60 (pow x 5))
47.0ms	(* (* 1/3 (* x x)) x)
28.0ms	(* 1/3 (* x x))

simplify2.7s

Counts

77 → 77

Iterations

Iter	Nodes
done	5002
3	3456
2	738
1	269
0	104

prune259.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.7s	3362×	body	1280	valid
1.5s	2453×	body	640	valid
578.0ms	8238×	body	80	valid
310.0ms	1262×	body	320	valid
101.0ms	623×	body	160	valid