Details

sample150.0ms

Algorithm

intervals

Results

79.0ms	115×	body	1280	valid
27.0ms	67×	body	640	valid
12.0ms	243×	body	80	nan
9.0ms	38×	body	320	valid
4.0ms	27×	body	160	valid
1.0ms	9×	body	80	valid

simplify142.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	65	12
5	96	12
6	122	12
7	143	12
8	151	12
done	151	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.1b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

30.0ms	(/ (+ 1.0 x) (- 1.0 x))
17.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series205.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (+ 1.0 x) (- 1.0 x))
151.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify681.0ms

Counts

92 → 92

Iterations

Useful iterations: done (678.0ms)

Iter	Nodes	Cost
0	146	1310
1	345	1243
2	1355	1184
done	5001	1165

prune293.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune12.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
7.2b	(log (- 1.0 x))
7.2b	(log (+ 1.0 x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
18×	`log-prod`
12×	`add-sqr-sqrt`
11×	`pow1`
8×	`add-cube-cbrt` `log-pow` `distribute-lft-out`
6×	`log-div`
5×	`add-exp-log` `associate-+r+` `distribute-neg-in`
4×	`associate-+l+` `fma-def` `distribute-rgt-neg-in` `add-log-exp`
3×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate-+l-` `rem-log-exp` `sum-log` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3--` `unsub-neg` `neg-log` `flip--`

Counts

3 → 73

Calls

3 calls:

20.0ms	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
11.0ms	(log (- 1.0 x))
9.0ms	(log (+ 1.0 x))

series499.0ms

Counts

3 → 9

Calls

3 calls:

365.0ms	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
74.0ms	(log (- 1.0 x))
60.0ms	(log (+ 1.0 x))

simplify1000.0ms

Counts

82 → 82

Iterations

Useful iterations: done (996.0ms)

Iter	Nodes	Cost
0	152	863
1	370	783
2	1469	715
done	5002	712

prune246.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 2/5 (/ (pow x 5) (pow 1.0 5)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-sqr-sqrt`
53×	`associate-r`
48×	`unpow-prod-down`
31×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log`
20×	`sqr-pow`
10×	`prod-exp` `unswap-sqr`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 90

Calls

1 calls:

47.0ms

(* 2/5 (/ (pow x 5) (pow 1.0 5)))

series178.0ms

Counts

1 → 3

Calls

1 calls:

178.0ms

(* 2/5 (/ (pow x 5) (pow 1.0 5)))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: 2 (412.0ms)

Iter	Nodes	Cost
0	188	1251
1	500	1076
2	2028	1029
done	5001	1029

prune505.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	25
1	20	25
done	20	25

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.7s	3467×	body	1280	valid
1.7s	2499×	body	640	valid
565.0ms	7917×	body	80	nan
357.0ms	1233×	body	320	valid
164.0ms	617×	body	160	valid
13.0ms	184×	body	80	valid