Details

sample184.0ms

Algorithm

intervals

Results

109.0ms	106×	body	1280	valid
40.0ms	75×	body	640	valid
12.0ms	45×	body	320	valid
4.0ms	256×	pre	80	true
3.0ms	17×	body	160	valid
1.0ms	13×	body	80	valid

simplify22.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.8b	(log (+ 1.0 x))
5.1b	(log (- 1.0 x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

46.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
7.0ms	(log (+ 1.0 x))
7.0ms	(log (- 1.0 x))

series293.0ms

Counts

3 → 9

Calls

3 calls:

189.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
51.0ms	(log (+ 1.0 x))
52.0ms	(log (- 1.0 x))

simplify581.0ms

Counts: 78 → 78

prune220.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 57.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x))))
3.5b	(log (- (* 1.0 1.0) (* x x)))
5.1b	(log (- 1.0 x))
5.1b	(log (- 1.0 x))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
36×	`pow1`
35×	`add-sqr-sqrt`
32×	`times-frac` `log-pow`
22×	`distribute-lft-out--`
21×	`add-cube-cbrt`
14×	`log-prod`
9×	`add-exp-log`
8×	`log-div` `associate-/r*` `difference-of-squares`
6×	`add-cbrt-cube`
5×	`flip3--` `flip--`
4×	`associate-/l*` `add-log-exp`
3×	`rem-log-exp`
2×	`div-sub` `associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 107

Calls

4 calls:

39.0ms	(/ (log (- 1.0 x)) (- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x))))
9.0ms	(log (- (* 1.0 1.0) (* x x)))
8.0ms	(log (- 1.0 x))
5.0ms	(log (- 1.0 x))

series642.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(/ (log (- 1.0 x)) (- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x))))
166.0ms	(log (- (* 1.0 1.0) (* x x)))
78.0ms	(log (- 1.0 x))
55.0ms	(log (- 1.0 x))

simplify959.0ms

Counts: 119 → 119

prune360.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify18.0ms

Counts: 0 → 0

prune44.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (- 1.0 x)))
5.1b	(log (- 1.0 x))
5.1b	(log (- 1.0 x))
29.2b	(/ (log (- 1.0 x)) (- (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (- 1.0 x))))

rewrite424.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
63×	`distribute-lft-out--`
47×	`pow1`
43×	`log-pow`
42×	`add-sqr-sqrt`
40×	`times-frac`
24×	`add-cube-cbrt`
18×	`log-prod`
10×	`associate-/r*`
9×	`difference-of-squares`
8×	`add-exp-log` `log-div` `associate--l+` `add-log-exp`
6×	`flip3--` `add-cbrt-cube` `flip--`
5×	`diff-log` `associate--r+`
4×	`associate-/l*`
2×	`sub-neg` `div-sub` `rem-log-exp` `associate-/r/` `associate--r-`
1×	`cbrt-undiv` `associate--l-` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 136

Calls

4 calls:

211.0ms	(- (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (- 1.0 x)))
8.0ms	(log (- 1.0 x))
8.0ms	(log (- 1.0 x))
190.0ms	(/ (log (- 1.0 x)) (- (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (- 1.0 x))))

series614.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(- (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (- 1.0 x)))
67.0ms	(log (- 1.0 x))
73.0ms	(log (- 1.0 x))
304.0ms	(/ (log (- 1.0 x)) (- (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (- 1.0 x))))

simplify836.0ms

Counts: 148 → 148

prune448.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

-3.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify921.0ms

end0.0ms

sample7.1s

Algorithm

intervals

Results

4.6s	3378×	body	1280	valid
1.6s	2473×	body	640	valid
360.0ms	1239×	body	320	valid
137.0ms	8000×	pre	80	true
110.0ms	653×	body	160	valid
18.0ms	257×	body	80	valid