Details

sample212.0ms

Algorithm

intervals

Results

87.0ms	107×	body	1280	valid
46.0ms	283×	body	80	nan
34.0ms	74×	body	640	valid
15.0ms	50×	body	320	valid
3.0ms	18×	body	160	valid
1.0ms	7×	body	80	valid

simplify172.0ms

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	106	12
7	121	12
8	123	12
done	123	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

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:

58.0ms	(/ (+ 1.0 x) (- 1.0 x))
21.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series268.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (+ 1.0 x) (- 1.0 x))
211.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify929.0ms

Counts

88 → 88

Iterations

Useful iterations: done (924.0ms)

Iter	Nodes	Cost
0	142	1276
1	328	1221
2	1300	1152
done	5000	1139

prune466.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

72.0ms

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

series91.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

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

simplify2.0s

Counts

113 → 113

Iterations

Useful iterations: 2 (881.0ms)

Iter	Nodes	Cost
0	220	1482
1	609	1317
2	3145	1027
done	5000	1027

prune634.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
80×	`times-frac`
58×	`log-prod`
52×	`sqrt-prod`
48×	`add-cube-cbrt`
22×	`distribute-lft-out`
18×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `associate-/r*`
8×	`pow1` `associate-/r/` `add-cbrt-cube` `associate-/l*`
6×	`log-pow`
4×	`flip3--` `flip--` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `log-div` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `div-exp` `rem-log-exp` `clear-num` `flip-+`

Counts

4 → 172

Calls

4 calls:

42.0ms	(/ (+ 1.0 x) (- 1.0 x))
50.0ms	(/ (+ 1.0 x) (- 1.0 x))
19.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
19.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series1.0s

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (+ 1.0 x) (- 1.0 x))
55.0ms	(/ (+ 1.0 x) (- 1.0 x))
437.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
458.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify1.1s

Counts

184 → 184

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	188	2864
1	346	2738
2	1284	2540
done	5000	2504

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

5.1b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
5.1b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
5.1b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
5.1b	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

120×	`*-un-lft-identity`
116×	`log-prod`
104×	`sqrt-prod`
80×	`add-sqr-sqrt` `times-frac`
48×	`add-cube-cbrt`
20×	`distribute-lft-out`
16×	`distribute-lft-out--` `difference-of-squares`
12×	`pow1` `log-pow`
8×	`add-exp-log` `associate-/r/`
4×	`log-div` `flip3--` `sqrt-pow1` `pow1/2` `sqrt-div` `rem-log-exp` `add-cbrt-cube` `flip--` `div-inv` `add-log-exp`

Counts

4 → 164

Calls

4 calls:

32.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
24.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
22.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
24.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series2.2s

Counts

4 → 12

Calls

4 calls:

529.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
568.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
535.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
543.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify2.3s

Counts

176 → 176

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	155	3208
1	239	3048
2	645	2796
3	3056	2756
done	5001	2756

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes68.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	24
1	21	24
done	21	24

end0.0ms

sample7.4s

Algorithm

intervals

Results

4.0s	3403×	body	1280	valid
1.5s	2556×	body	640	valid
562.0ms	8118×	body	80	nan
525.0ms	1265×	body	320	valid
177.0ms	610×	body	160	valid
15.0ms	166×	body	80	valid