Details

sample153.0ms

Algorithm

intervals

Results

70.0ms	120×	body	1280	valid
31.0ms	77×	body	640	valid
16.0ms	235×	body	80	valid
14.0ms	12×	body	160	valid
10.0ms	39×	body	320	valid

simplify44.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize22.0ms

Local error

Found 1 expressions with local error:

3.8b	(- (exp x) (exp (- x)))

rewrite30.0ms

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:

30.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify1.0s

Counts

18 → 18

Iterations

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

prune63.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

21.0ms	(+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5)))
21.0ms	(* x (+ 2 (* 1/3 (* x x))))
17.0ms	(* 1/60 (pow x 5))
25.0ms	(* 1/3 (* x x))

series265.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (* x (+ 2 (* 1/3 (* x x)))) (* 1/60 (pow x 5)))
94.0ms	(* x (+ 2 (* 1/3 (* x x))))
65.0ms	(* 1/60 (pow x 5))
30.0ms	(* 1/3 (* x x))

simplify779.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	2001
2	1529
1	427
0	144

prune340.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

9.0ms	(+ (* 2 x) (* (* 1/3 (* x x)) x))
9.0ms	(* 1/60 (pow x 5))
59.0ms	(* (* 1/3 (* x x)) x)
16.0ms	(* 1/3 (* x x))

series246.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ (* 2 x) (* (* 1/3 (* x x)) x))
57.0ms	(* 1/60 (pow x 5))
49.0ms	(* (* 1/3 (* x x)) x)
29.0ms	(* 1/3 (* x x))

simplify606.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	2001
2	1111
1	351
0	127

prune248.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.9s	3423×	body	1280	valid
994.0ms	2458×	body	640	valid
610.0ms	7881×	body	80	valid
387.0ms	1233×	body	320	valid
100.0ms	627×	body	160	valid