Details

sample214.0ms

Algorithm

intervals

Results

104.0ms	108×	body	1280	valid
45.0ms	75×	body	640	valid
26.0ms	264×	body	80	nan
20.0ms	49×	body	320	valid
4.0ms	18×	body	160	valid
1.0ms	6×	body	80	valid

simplify244.0ms

Counts

1 → 1

Iterations

Iter	Nodes
10	190
9	190
8	189
7	182
6	155
5	130
4	87
3	59
2	27
1	21
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
5.7b	(log (/ (+ x 1) (- 1 x)))

rewrite49.0ms

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:

34.0ms	(/ (+ x 1) (- 1 x))
13.0ms	(log (/ (+ x 1) (- 1 x)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (+ x 1) (- 1 x))
76.0ms	(log (/ (+ x 1) (- 1 x)))

simplify733.0ms

Counts

99 → 99

Iterations

Iter	Nodes
3	2267
2	866
1	355
0	162

prune877.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2 (* (* x 2/3) x)))
0.1b	(* 2/5 (pow x 5))
0.1b	(* (* x 2/3) x)
0.3b	(* x 2/3)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-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

4 → 87

Calls

4 calls:

10.0ms	(* x (+ 2 (* (* x 2/3) x)))
8.0ms	(* 2/5 (pow x 5))
13.0ms	(* (* x 2/3) x)
6.0ms	(* x 2/3)

series267.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* x (+ 2 (* (* x 2/3) x)))
73.0ms	(* 2/5 (pow x 5))
36.0ms	(* (* x 2/3) x)
22.0ms	(* x 2/3)

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
3	3758
2	976
1	332
0	134

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 2/5 (pow x 5))
0.1b	(* (* x 2/3) x)
0.1b	(* (* (* x 2/3) x) x)
0.3b	(* x 2/3)

rewrite111.0ms

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))
26.0ms	(* (* x 2/3) x)
63.0ms	(* (* (* x 2/3) x) x)
5.0ms	(* x 2/3)

series161.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* 2/5 (pow x 5))
35.0ms	(* (* x 2/3) x)
48.0ms	(* (* (* x 2/3) x) x)
20.0ms	(* x 2/3)

simplify1.2s

Counts

98 → 98

Iterations

Iter	Nodes
3	2521
2	779
1	284
0	117

prune985.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ x 1)) (log (- 1 x)))
5.7b	(log (+ x 1))
5.7b	(log (- 1 x))

rewrite34.0ms

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:

19.0ms	(- (log (+ x 1)) (log (- 1 x)))
6.0ms	(log (+ x 1))
7.0ms	(log (- 1 x))

series236.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(- (log (+ x 1)) (log (- 1 x)))
42.0ms	(log (+ x 1))
43.0ms	(log (- 1 x))

simplify1.4s

Counts

75 → 75

Iterations

Iter	Nodes
4	3684
3	1421
2	624
1	297
0	147

prune536.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	23
1	23
0	15

end0.0ms

sample7.6s

Algorithm

intervals

Results

4.2s	3472×	body	1280	valid
1.5s	2444×	body	640	valid
865.0ms	8108×	body	80	nan
606.0ms	1262×	body	320	valid
171.0ms	620×	body	160	valid
23.0ms	202×	body	80	valid