Details

sample131.0ms

Algorithm

intervals

Results

67.0ms	114×	body	1280	valid
27.0ms	78×	body	640	valid
11.0ms	262×	body	80	nan
8.0ms	42×	body	320	valid
2.0ms	16×	body	160	valid
0.0ms	6×	body	80	valid

simplify118.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite65.0ms

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:

42.0ms	(/ (+ 1.0 x) (- 1.0 x))
17.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series240.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (+ 1.0 x) (- 1.0 x))
191.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.7s

Counts

88 → 88

Iterations

Useful iterations: done (1.7s)

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

prune286.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

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

prune5.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
5.5b	(log (sqrt (+ 1.0 x)))
5.6b	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
70×	`times-frac`
52×	`sqrt-prod`
48×	`log-prod`
45×	`add-cube-cbrt`
15×	`distribute-lft-out--` `difference-of-squares`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`pow1`
7×	`associate-/l*`
6×	`sqrt-div` `add-cbrt-cube`
5×	`associate-/r*`
4×	`associate-/r/` `log-pow` `add-log-exp`
3×	`log-div` `flip3-+` `rem-log-exp` `flip-+`
2×	`flip3--` `sqrt-pow1` `pow1/2` `div-exp` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `clear-num`

Counts

4 → 151

Calls

4 calls:

8.0ms	(sqrt (+ 1.0 x))
30.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))
12.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

series589.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(sqrt (+ 1.0 x))
129.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
102.0ms	(log (sqrt (+ 1.0 x)))
309.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

simplify2.8s

Counts

163 → 163

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	261	2622
1	562	2416
2	1420	2270
3	4565	2225
done	5001	2225

prune499.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))) 3)
0.1b	(cbrt (pow (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))) 3))
5.5b	(log (sqrt (+ 1.0 x)))
5.6b	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
48×	`log-prod`
44×	`add-sqr-sqrt`
35×	`times-frac`
30×	`add-cube-cbrt`
24×	`sqrt-prod`
14×	`cbrt-prod`
12×	`pow1`
9×	`add-exp-log`
8×	`unpow-prod-down` `cube-prod` `log-pow`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`distribute-lft-out`
5×	`add-cbrt-cube`
4×	`add-log-exp`
3×	`log-div` `pow-unpow` `rem-log-exp`
2×	`cube-mult` `sqrt-div` `unpow3` `associate-/r/` `sqr-pow`
1×	`pow-to-exp` `flip3--` `pow-pow` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `div-exp` `pow-exp` `flip--` `rem-cbrt-cube` `flip-+` `div-inv` `rem-cube-cbrt`

Counts

4 → 120

Calls

4 calls:

4.0ms	(pow (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))) 3)
4.0ms	(cbrt (pow (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))) 3))
6.0ms	(log (sqrt (+ 1.0 x)))
12.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

720.0ms	(pow (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))) 3)
263.0ms	(cbrt (pow (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))) 3))
101.0ms	(log (sqrt (+ 1.0 x)))
255.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

simplify1.5s

Counts

132 → 132

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	361	2885
1	872	2567
2	2539	2331
done	5001	2321

prune579.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes61.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	20
1	18	20
done	18	20

end0.0ms

sample6.7s

Algorithm

intervals

Results

3.2s	3498×	body	1280	valid
1.1s	2438×	body	640	valid
1.0s	7984×	body	80	nan
867.0ms	1245×	body	320	valid
177.0ms	619×	body	160	valid
16.0ms	200×	body	80	valid