Details

sample187.0ms

Algorithm

intervals

Results

100.0ms	118×	body	1280	valid
37.0ms	77×	body	640	valid
15.0ms	245×	body	80	nan
12.0ms	38×	body	320	valid
3.0ms	16×	body	160	valid
0.0ms	7×	body	80	valid

simplify206.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	201
8	201
7	198
6	165
5	150
4	100
3	59
2	27
1	21
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
4.6b	(log (/ (+ x 1) (- 1 x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 93

Calls

2 calls:

19.0ms	(/ (+ x 1) (- 1 x))
9.0ms	(log (/ (+ x 1) (- 1 x)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (+ x 1) (- 1 x))
104.0ms	(log (/ (+ x 1) (- 1 x)))

simplify2.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	2928
2	921
1	366
0	162

prune440.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2/5 (pow x 5)) (* x (+ (* (* 2/3 x) x) 2)))
0.1b	(* 2/5 (pow x 5))
0.1b	(* (* 2/3 x) x)
0.4b	(* 2/3 x)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

11.0ms	(+ (* 2/5 (pow x 5)) (* x (+ (* (* 2/3 x) x) 2)))
10.0ms	(* 2/5 (pow x 5))
31.0ms	(* (* 2/3 x) x)
5.0ms	(* 2/3 x)

series214.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (* 2/5 (pow x 5)) (* x (+ (* (* 2/3 x) x) 2)))
75.0ms	(* 2/5 (pow x 5))
52.0ms	(* (* 2/3 x) x)
18.0ms	(* 2/3 x)

simplify1.6s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1014
1	323
0	126

prune352.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 2/5 (pow x 5))
0.1b	(* (* 2/3 x) x)
0.1b	(* (* (* 2/3 x) x) x)
0.4b	(* 2/3 x)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
16×	`associate-r`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`pow-prod-down`
8×	`associate-l`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 86

Calls

4 calls:

16.0ms	(* 2/5 (pow x 5))
20.0ms	(* (* 2/3 x) x)
64.0ms	(* (* (* 2/3 x) x) x)
5.0ms	(* 2/3 x)

series164.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 2/5 (pow x 5))
31.0ms	(* (* 2/3 x) x)
55.0ms	(* (* (* 2/3 x) x) x)
16.0ms	(* 2/3 x)

simplify2.8s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
3	3375
2	814
1	287
0	115

prune463.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ x 1)) (log (- 1 x)))
4.7b	(log (+ x 1))
4.7b	(log (- 1 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`log-prod`
15×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `associate--r+` `distribute-lft-out--`
5×	`add-exp-log` `difference-of-squares`
4×	`associate--l+`
3×	`flip3--` `add-cbrt-cube` `insert-posit16` `flip--` `add-log-exp`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 66

Calls

3 calls:

11.0ms	(- (log (+ x 1)) (log (- 1 x)))
3.0ms	(log (+ x 1))
4.0ms	(log (- 1 x))

series245.0ms

Counts

3 → 9

Calls

3 calls:

174.0ms	(- (log (+ x 1)) (log (- 1 x)))
41.0ms	(log (+ x 1))
29.0ms	(log (- 1 x))

simplify1.9s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	1830
2	679
1	307
0	147

prune369.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	23
1	23
0	15

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.8s	3377×	body	1280	valid
1.3s	2493×	body	640	valid
608.0ms	8098×	body	80	nan
540.0ms	637×	body	160	valid
416.0ms	1271×	body	320	valid
17.0ms	222×	body	80	valid