Details

sample283.0ms

Algorithm

intervals

Results

174.0ms	114×	body	1280	valid
62.0ms	76×	body	640	valid
14.0ms	31×	body	320	valid
10.0ms	256×	pre	80	true
7.0ms	26×	body	160	valid
1.0ms	9×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	11
2	11
1	10
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.3b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
7.1b	(log (+ 1 x))
7.1b	(log (- 1 x))

rewrite60.0ms

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:

24.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
26.0ms	(log (+ 1 x))
8.0ms	(log (- 1 x))

series142.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
34.0ms	(log (+ 1 x))
25.0ms	(log (- 1 x))

simplify1.5s

Counts

82 → 82

Iterations

Iter	Nodes
3	3507
2	1069
1	388
0	178

prune762.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`add-sqr-sqrt` `*-un-lft-identity` `diff-log`
2×	`sub-neg` `associate--l+`
1×	`associate--l-` `pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 19

Calls

1 calls:

23.0ms

(- (- -1 (* x (* x 1/2))) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- (- -1 (* x (* x 1/2))) x)

simplify1.7s

Counts

22 → 22

Iterations

Iter	Nodes
4	3885
3	806
2	249
1	99
0	48

prune145.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (log (- 1 x)) (+ (* (* x x) (- (* x 1/3) 1/2)) x))
0.0b	(* (* x x) (- (* x 1/3) 1/2))
0.3b	(* x 1/3)
7.1b	(log (- 1 x))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`pow1`
14×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`times-frac`
6×	`log-prod` `associate-r`
5×	`log-pow`
4×	`log-div` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`associate-/r*` `flip3--` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-sub` `associate-r/` `associate-/r/` `-commutative` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `distribute-lft-out--`

Counts

4 → 99

Calls

4 calls:

58.0ms	(/ (log (- 1 x)) (+ (* (* x x) (- (* x 1/3) 1/2)) x))
55.0ms	(* (* x x) (- (* x 1/3) 1/2))
5.0ms	(* x 1/3)
4.0ms	(log (- 1 x))

series264.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (log (- 1 x)) (+ (* (* x x) (- (* x 1/3) 1/2)) x))
128.0ms	(* (* x x) (- (* x 1/3) 1/2))
17.0ms	(* x 1/3)
24.0ms	(log (- 1 x))

simplify2.9s

Counts

111 → 111

Iterations

Iter	Nodes
3	5404
2	1523
1	551
0	230

prune658.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	10
1	10
0	7

end0.0ms

sample9.2s

Algorithm

intervals

Results

5.8s	3417×	body	1280	valid
2.1s	2498×	body	640	valid
570.0ms	1260×	body	320	valid
313.0ms	8000×	pre	80	true
161.0ms	619×	body	160	valid
47.0ms	206×	body	80	valid