Details

sample122.0ms

Algorithm

intervals

Results

58.0ms	62×	body	10240	exit
28.0ms	259×	body	80	valid
14.0ms	8×	body	640	valid
4.0ms	3×	body	1280	valid
1.0ms	2×	body	320	valid
1.0ms	3×	body	160	valid

simplify14.0ms

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: 0.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1 (exp x))) (* x y))
0.0b	(+ 1 (exp x))
0.5b	(log (+ 1 (exp x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`log-prod` `add-log-exp`
6×	`pow1`
5×	`add-cube-cbrt`
4×	`log-div` `associate--l+` `add-exp-log` `distribute-lft-out--`
3×	`flip3-+` `add-cbrt-cube` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`associate--l-` `diff-log` `associate-l` `difference-of-squares`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `rem-log-exp` `flip--` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

32.0ms	(- (log (+ 1 (exp x))) (* x y))
12.0ms	(+ 1 (exp x))
10.0ms	(log (+ 1 (exp x)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(- (log (+ 1 (exp x))) (* x y))
14.0ms	(+ 1 (exp x))
80.0ms	(log (+ 1 (exp x)))

simplify3.0s

Counts

64 → 64

Iterations

Iter	Nodes
done	5005
4	4302
3	1490
2	501
1	209
0	93

prune258.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(+ 1 (exp x))
1.2b	(log (sqrt (+ 1 (exp x))))
1.2b	(log (sqrt (+ 1 (exp x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`log-prod`
8×	`add-sqr-sqrt` `pow1` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3-+` `add-cbrt-cube` `sqrt-div` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`+-commutative` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp`

Counts

4 → 68

Calls

4 calls:

10.0ms	(+ 1 (exp x))
7.0ms	(+ 1 (exp x))
12.0ms	(log (sqrt (+ 1 (exp x))))
12.0ms	(log (sqrt (+ 1 (exp x))))

series267.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1 (exp x))
9.0ms	(+ 1 (exp x))
121.0ms	(log (sqrt (+ 1 (exp x))))
128.0ms	(log (sqrt (+ 1 (exp x))))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
4	2103
3	968
2	421
1	160
0	80

prune356.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ (+ 2 x) (* (/ x 2) x))) (* x y))
0.0b	(+ (+ 2 x) (* (/ x 2) x))
7.1b	(log (+ (+ 2 x) (* (/ x 2) x)))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

54×	`associate-*l/` `frac-add`
53×	`*-un-lft-identity`
40×	`log-div`
30×	`flip3-+` `flip-+`
22×	`add-sqr-sqrt`
20×	`associate--l-`
18×	`associate-/r` `distribute-lft-out` `associate-/l`
17×	`add-cube-cbrt`
14×	`log-prod`
11×	`add-log-exp`
8×	`associate-l`
7×	`associate--l+`
6×	`pow1` `clear-num` `frac-2neg`
4×	`add-exp-log` `distribute-lft-out--`
3×	`sum-log` `add-cbrt-cube` `log-pow` `insert-posit16`
2×	`+-commutative` `associate-+l+` `diff-log` `difference-of-squares`
1×	`sub-neg` `flip3--` `rem-log-exp` `flip--` `unswap-sqr`

Counts

3 → 121

Calls

3 calls:

80.0ms	(- (log (+ (+ 2 x) (* (/ x 2) x))) (* x y))
98.0ms	(+ (+ 2 x) (* (/ x 2) x))
78.0ms	(log (+ (+ 2 x) (* (/ x 2) x)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (log (+ (+ 2 x) (* (/ x 2) x))) (* x y))
20.0ms	(+ (+ 2 x) (* (/ x 2) x))
43.0ms	(log (+ (+ 2 x) (* (/ x 2) x)))

simplify1.6s

Counts

130 → 130

Iterations

Iter	Nodes
done	5005
2	2168
1	627
0	252

prune560.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (log (+ (+ 2 x) (* (/ x 2) x))) (log (+ (+ 2 x) (* (/ x 2) x))))
7.1b	(log (+ (+ 2 x) (* (/ x 2) x)))
7.1b	(log (+ (+ 2 x) (* (/ x 2) x)))
7.1b	(log (+ (+ 2 x) (* (/ x 2) x)))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

77×	`*-un-lft-identity`
60×	`log-div`
54×	`associate-*l/` `frac-add`
35×	`log-prod`
30×	`flip3-+` `flip-+` `distribute-lft-out`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
20×	`pow1`
18×	`associate-/r` `associate-/l`
14×	`associate-l`
9×	`add-exp-log` `log-pow`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`clear-num` `frac-2neg` `add-cbrt-cube` `swap-sqr`
4×	`associate-r` `insert-posit16` `add-log-exp`
3×	`rem-log-exp`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

123.0ms	(* (log (+ (+ 2 x) (* (/ x 2) x))) (log (+ (+ 2 x) (* (/ x 2) x))))
83.0ms	(log (+ (+ 2 x) (* (/ x 2) x)))
71.0ms	(log (+ (+ 2 x) (* (/ x 2) x)))
66.0ms	(log (+ (+ 2 x) (* (/ x 2) x)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (log (+ (+ 2 x) (* (/ x 2) x))) (log (+ (+ 2 x) (* (/ x 2) x))))
51.0ms	(log (+ (+ 2 x) (* (/ x 2) x)))
49.0ms	(log (+ (+ 2 x) (* (/ x 2) x)))
44.0ms	(log (+ (+ 2 x) (* (/ x 2) x)))

simplify2.1s

Counts

168 → 168

Iterations

Iter	Nodes
done	5003
2	2439
1	703
0	260

prune927.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

regimes50.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.7s	2288×	body	10240	exit
854.0ms	8318×	body	80	valid
162.0ms	147×	body	1280	valid
154.0ms	262×	body	640	valid
99.0ms	186×	body	320	valid
24.0ms	108×	body	160	valid