Details

sample138.0ms

Algorithm

intervals

Results

63.0ms	60×	body	10240	exit
30.0ms	261×	body	80	valid
15.0ms	9×	body	640	valid
10.0ms	8×	body	1280	valid
3.0ms	6×	body	320	valid
1.0ms	4×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	14
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log (+ 1 (exp x))) (* x y))
0.2b	(log (+ 1 (exp x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

8×	`log-prod` `*-un-lft-identity`
4×	`add-sqr-sqrt` `log-div` `associate--l+` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `add-log-exp`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

2 → 35

Calls

2 calls:

17.0ms	(- (log (+ 1 (exp x))) (* x y))
7.0ms	(log (+ 1 (exp x)))

series145.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(- (log (+ 1 (exp x))) (* x y))
78.0ms	(log (+ 1 (exp x)))

simplify1.1s

Counts

41 → 41

Iterations

Iter	Nodes
done	2002
4	2002
3	1246
2	389
1	157
0	74

prune179.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
1.0b	(log (sqrt (+ 1 (exp x))))
1.0b	(log (sqrt (+ 1 (exp x))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

14×	`log-prod`
11×	`*-un-lft-identity`
8×	`log-div` `sqrt-div` `sqrt-prod`
7×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
6×	`log-pow` `add-log-exp`
5×	`add-exp-log`
4×	`associate--l-` `flip3-+` `flip-+`
3×	`add-cbrt-cube` `insert-posit16`
2×	`associate-+r-` `sqrt-pow1` `pow1/2` `diff-log` `rem-log-exp` `associate-+l-` `distribute-lft-out`
1×	`sum-log` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

3 → 61

Calls

3 calls:

62.0ms	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
4.0ms	(log (sqrt (+ 1 (exp x))))
4.0ms	(log (sqrt (+ 1 (exp x))))

series473.0ms

Counts

3 → 9

Calls

3 calls:

199.0ms	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
134.0ms	(log (sqrt (+ 1 (exp x))))
139.0ms	(log (sqrt (+ 1 (exp x))))

simplify982.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	2006
3	2006
2	657
1	247
0	113

prune324.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log 2) (* x (+ (* 1/8 x) 1/2)))
0.0b	(* x (+ (* 1/8 x) 1/2))
0.0b	(- (+ (log 2) (* x (+ (* 1/8 x) 1/2))) (* x y))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-+l+` `log-prod` `associate-r` `associate-l` `insert-posit16`
2×	`distribute-rgt-in` `associate-+r+` `sum-log` `distribute-lft-in` `flip3-+` `diff-log` `associate-*r/` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

9.0ms	(+ (log 2) (* x (+ (* 1/8 x) 1/2)))
18.0ms	(* x (+ (* 1/8 x) 1/2))
41.0ms	(- (+ (log 2) (* x (+ (* 1/8 x) 1/2))) (* x y))

series159.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (log 2) (* x (+ (* 1/8 x) 1/2)))
76.0ms	(* x (+ (* 1/8 x) 1/2))
50.0ms	(- (+ (log 2) (* x (+ (* 1/8 x) 1/2))) (* x y))

simplify941.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	2003
3	2003
2	1170
1	315
0	106

prune295.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.3s	2465×	body	10240	exit
1.3s	8375×	body	80	valid
185.0ms	279×	body	640	valid
118.0ms	126×	body	1280	valid
58.0ms	173×	body	320	valid
25.0ms	112×	body	160	valid