Details

sample151.0ms

Algorithm

intervals

Results

78.0ms	109×	body	1280	valid
29.0ms	78×	body	640	valid
10.0ms	218×	body	80	nan
10.0ms	38×	body	320	valid
3.0ms	23×	body	160	valid
1.0ms	8×	body	80	valid

simplify117.0ms

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: 58.2b

localize9.0ms

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×	`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:

33.0ms	(/ (+ 1.0 x) (- 1.0 x))
13.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series192.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (+ 1.0 x) (- 1.0 x))
152.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.3s

Counts

88 → 88

Iterations

Useful iterations: done (2.3s)

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

prune249.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

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

prune10.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ 1 (- 1.0 x)) (+ 1.0 x))
0.0b	(/ 1 (- 1.0 x))
7.1b	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-exp-log`
23×	`add-cube-cbrt`
21×	`associate-l`
10×	`add-cbrt-cube`
9×	`pow1`
8×	`prod-exp`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`div-exp`
5×	`log-div` `rem-log-exp` `associate-/r*`
4×	`frac-times` `flip3-+` `associate-r/` `associate-r*` `associate-/r/` `flip-+`
3×	`rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `pow-prod-down` `associate-*l/` `log-pow` `flip--` `cbrt-unprod` `div-inv`
1×	`distribute-rgt-in` `log-prod` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `*-commutative` `distribute-lft-out` `inv-pow`

Counts

3 → 111

Calls

3 calls:

64.0ms	(* (/ 1 (- 1.0 x)) (+ 1.0 x))
25.0ms	(/ 1 (- 1.0 x))
38.0ms	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (/ 1 (- 1.0 x)) (+ 1.0 x))
32.0ms	(/ 1 (- 1.0 x))
184.0ms	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

simplify2.9s

Counts

120 → 120

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	176	1410
1	513	1192
2	1356	1062
3	3699	1041
done	5000	1041

prune275.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

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:

50.0ms	(/ (+ 1.0 x) (- 1.0 x))
37.0ms	(/ (+ 1.0 x) (- 1.0 x))
14.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
12.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

series668.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (+ 1.0 x) (- 1.0 x))
40.0ms	(/ (+ 1.0 x) (- 1.0 x))
247.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))
325.0ms	(log (sqrt (/ (+ 1.0 x) (- 1.0 x))))

simplify2.0s

Counts

184 → 184

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	196	2956
1	366	2822
2	874	2568
3	2086	2498
done	5001	2466

prune636.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes31.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.7s	3379×	body	1280	valid
1.1s	2446×	body	640	valid
984.0ms	8039×	body	80	nan
367.0ms	1277×	body	320	valid
155.0ms	682×	body	160	valid
16.0ms	216×	body	80	valid