Details

sample180.0ms

Algorithm

intervals

Results

93.0ms	110×	body	1280	valid
31.0ms	70×	body	640	valid
14.0ms	50×	body	320	valid
13.0ms	250×	body	80	nan
3.0ms	16×	body	160	valid
1.0ms	10×	body	80	valid

simplify110.0ms

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	61	12
5	88	12
6	102	12
7	106	12
done	106	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
4.9b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite44.0ms

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×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

28.0ms	(/ (+ 1.0 x) (- 1.0 x))
11.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series212.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
179.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.9s

Counts

88 → 88

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	142	1276
1	319	1221
2	803	1150
3	1966	1108
done	5000	1104

prune258.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

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

prune15.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.0b	(log (- 1.0 x))
5.0b	(log (+ 1.0 x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`log-prod`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`add-exp-log` `associate--r+`
4×	`associate--l+`
3×	`flip3--` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 61

Calls

3 calls:

28.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
9.0ms	(log (- 1.0 x))
8.0ms	(log (+ 1.0 x))

series413.0ms

Counts

3 → 9

Calls

3 calls:

296.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
49.0ms	(log (- 1.0 x))
68.0ms	(log (+ 1.0 x))

simplify1.4s

Counts

70 → 70

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	140	809
1	304	764
2	691	704
3	1724	702
done	5000	688

prune185.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 2/3 (pow (/ x 1.0) 3)) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
0.1b	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
0.1b	(* 2/3 (pow (/ x 1.0) 3))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt` `associate-r`
78×	`times-frac`
63×	`unpow-prod-down`
49×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-exp-log`
22×	`sqr-pow`
16×	`unswap-sqr`
15×	`cube-prod`
14×	`prod-exp`
10×	`div-exp` `add-cbrt-cube`
8×	`pow-exp` `add-log-exp`
7×	`pow-to-exp`
6×	`associate-l`
5×	`pow1`
4×	`associate-*r/`
3×	`cube-div` `sum-log` `cbrt-unprod` `div-inv`
2×	`flip3-+` `frac-add` `*-commutative` `flip-+`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `associate-+r+` `unpow3` `pow-prod-down`

Counts

3 → 158

Calls

3 calls:

32.0ms	(+ (* 2/3 (pow (/ x 1.0) 3)) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
57.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
46.0ms	(* 2/3 (pow (/ x 1.0) 3))

series321.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ (* 2/3 (pow (/ x 1.0) 3)) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
118.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
111.0ms	(* 2/3 (pow (/ x 1.0) 3))

simplify1.7s

Counts

167 → 167

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	319	2484
1	830	2160
2	3021	2062
done	5000	2024

prune699.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	25
1	25	25
done	25	25

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.2s	3364×	body	1280	valid
937.0ms	2548×	body	640	valid
341.0ms	8070×	body	80	nan
271.0ms	1251×	body	320	valid
81.0ms	618×	body	160	valid
14.0ms	219×	body	80	valid