Details

sample292.0ms

Algorithm

intervals

Results

177.0ms	107×	body	1280	valid
66.0ms	77×	body	640	valid
22.0ms	45×	body	320	valid
10.0ms	256×	pre	80	true
6.0ms	20×	body	160	valid
1.0ms	7×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.8b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
5.9b	(log (+ 1 x))
6.2b	(log (- 1 x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
10×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`insert-posit16` `add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 73

Calls

3 calls:

28.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
6.0ms	(log (+ 1 x))
7.0ms	(log (- 1 x))

series176.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
25.0ms	(log (+ 1 x))
41.0ms	(log (- 1 x))

simplify1.4s

Counts

82 → 82

Iterations

Iter	Nodes
done	2000
3	2000
2	1126
1	404
0	178

prune322.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x 1) (* (* x x) 1/2))
0.0b	(* (* x x) 1/2)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`add-sqr-sqrt`
3×	`sum-log` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`+-commutative` `associate-+l+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

41.0ms	(+ (+ x 1) (* (* x x) 1/2))
15.0ms	(* (* x x) 1/2)

series65.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (+ x 1) (* (* x x) 1/2))
45.0ms	(* (* x x) 1/2)

simplify1.2s

Counts

40 → 40

Iterations

Iter	Nodes
done	2002
3	2002
2	692
1	190
0	67

prune126.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ (log (+ 1 x)) (log (- 1 x))))
0.0b	(/ (log (+ 1 x)) (log (- 1 x)))
5.9b	(log (+ 1 x))
6.2b	(log (- 1 x))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
78×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
49×	`pow1`
44×	`log-pow`
24×	`associate-/r*`
19×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`log-prod`
8×	`div-exp`
7×	`associate-/l*`
6×	`log-div` `div-inv`
4×	`cbrt-undiv` `insert-posit16` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `div-sub` `rem-log-exp` `flip-+` `difference-of-squares`
1×	`flip3--` `associate-/r/` `pow-flip` `flip--` `distribute-lft-out` `distribute-lft-out--` `inv-pow`

Counts

4 → 178

Calls

4 calls:

14.0ms	(/ 1 (/ (log (+ 1 x)) (log (- 1 x))))
22.0ms	(/ (log (+ 1 x)) (log (- 1 x)))
6.0ms	(log (+ 1 x))
7.0ms	(log (- 1 x))

series268.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(/ 1 (/ (log (+ 1 x)) (log (- 1 x))))
93.0ms	(/ (log (+ 1 x)) (log (- 1 x)))
26.0ms	(log (+ 1 x))
42.0ms	(log (- 1 x))

simplify1.2s

Counts

190 → 190

Iterations

Iter	Nodes
done	2000
2	2000
1	805
0	319

prune580.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	33
3	33
2	29
1	16
0	8

end0.0ms

sample9.4s

Algorithm

intervals

Results

6.0s	3430×	body	1280	valid
2.1s	2533×	body	640	valid
610.0ms	1221×	body	320	valid
290.0ms	8000×	pre	80	true
169.0ms	622×	body	160	valid
24.0ms	194×	body	80	valid