Details

sample109.0ms

Algorithm

intervals

Results

47.0ms	96×	body	1280	valid
25.0ms	90×	body	640	valid
10.0ms	270×	body	80	nan
7.0ms	42×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	6×	body	80	valid

simplify131.0ms

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: 59.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.9b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite59.0ms

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:

37.0ms	(/ (+ 1.0 x) (- 1.0 x))
16.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series216.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ 1.0 x) (- 1.0 x))
183.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.0s

Counts

88 → 88

Iterations

Useful iterations: done (2.0s)

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

prune237.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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

prune14.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
6.9b	(log (- 1.0 x))
6.9b	(log (+ 1.0 x))

rewrite35.0ms

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:

23.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.0ms	(log (- 1.0 x))
5.0ms	(log (+ 1.0 x))

series465.0ms

Counts

3 → 9

Calls

3 calls:

346.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
58.0ms	(log (- 1.0 x))
61.0ms	(log (+ 1.0 x))

simplify1.6s

Counts

70 → 70

Iterations

Useful iterations: done (1.6s)

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

prune170.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite116.0ms

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:

26.0ms	(+ (* 2/3 (pow (/ x 1.0) 3)) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
37.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
44.0ms	(* 2/3 (pow (/ x 1.0) 3))

series352.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(+ (* 2/3 (pow (/ x 1.0) 3)) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
138.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
105.0ms	(* 2/3 (pow (/ x 1.0) 3))

simplify1.6s

Counts

167 → 167

Iterations

Useful iterations: done (1.6s)

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

prune576.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.7s	3362×	body	1280	valid
1.3s	2520×	body	640	valid
443.0ms	7844×	body	80	nan
390.0ms	1282×	body	320	valid
114.0ms	625×	body	160	valid
14.0ms	211×	body	80	valid