Details

sample242.0ms

Algorithm

intervals

Results

108.0ms	108×	body	1280	valid
54.0ms	84×	body	640	valid
43.0ms	279×	body	80	nan
14.0ms	37×	body	320	valid
6.0ms	25×	body	160	valid
0.0ms	2×	body	80	valid

simplify144.0ms

Counts

1 → 1

Iterations

Iter	Nodes
10	191
9	191
8	189
7	182
6	155
5	128
4	85
3	57
2	25
1	19
0	9

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
6.5b	(log (/ (+ x 1) (- 1 x)))

rewrite31.0ms

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)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (+ x 1) (- 1 x))
84.0ms	(log (/ (+ x 1) (- 1 x)))

simplify1.0s

Counts

99 → 99

Iterations

Iter	Nodes
3	2218
2	864
1	354
0	162

prune342.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

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:

63.0ms	(* x (+ (* (* x 2/3) x) 2))
15.0ms	(* 2/5 (pow x 5))
28.0ms	(* (* x 2/3) x)
5.0ms	(* x 2/3)

series294.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* x (+ (* (* x 2/3) x) 2))
88.0ms	(* 2/5 (pow x 5))
31.0ms	(* (* x 2/3) x)
23.0ms	(* x 2/3)

simplify1.5s

Counts

99 → 99

Iterations

Iter	Nodes
3	3607
2	966
1	331
0	134

prune324.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

6.6b	(log (- 1 x))
6.6b	(log (+ x 1))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`log-prod`
9×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
4×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt`
2×	`add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `add-log-exp` `difference-of-squares`
1×	`flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

2 → 34

Calls

2 calls:

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

series80.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(log (- 1 x))
38.0ms	(log (+ x 1))

simplify722.0ms

Counts

40 → 40

Iterations

Iter	Nodes
4	2125
3	804
2	362
1	182
0	99

prune118.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

6.6b	(log (- 1 x))
6.6b	(log (+ x 1))
6.6b	(log (+ x 1))
6.6b	(log (+ x 1))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
17×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
8×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt`
4×	`add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out`
2×	`difference-of-squares`
1×	`flip3--` `flip--` `distribute-lft-out--`

Counts

4 → 66

Calls

4 calls:

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

series109.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(log (- 1 x))
28.0ms	(log (+ x 1))
32.0ms	(log (+ x 1))
23.0ms	(log (+ x 1))

simplify773.0ms

Counts

78 → 78

Iterations

Iter	Nodes
4	2125
3	804
2	362
1	182
0	99

prune376.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	21
1	21
0	14

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.6s	3298×	body	1280	valid
2.2s	2583×	body	640	valid
1.0s	8199×	body	80	nan
622.0ms	1252×	body	320	valid
238.0ms	674×	body	160	valid
25.0ms	193×	body	80	valid