Details

sample214.0ms

Algorithm

intervals

Results

130.0ms	106×	body	1280	valid
49.0ms	91×	body	640	valid
10.0ms	34×	body	320	valid
4.0ms	256×	pre	80	true
3.0ms	16×	body	160	valid
1.0ms	9×	body	80	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ x 1.0)))
5.3b	(log (- 1.0 x))
5.3b	(log (+ x 1.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
9×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 69

Calls

3 calls:

17.0ms	(/ (log (- 1.0 x)) (log (+ x 1.0)))
7.0ms	(log (- 1.0 x))
7.0ms	(log (+ x 1.0))

series350.0ms

Counts

3 → 9

Calls

3 calls:

231.0ms	(/ (log (- 1.0 x)) (log (+ x 1.0)))
60.0ms	(log (- 1.0 x))
60.0ms	(log (+ x 1.0))

simplify866.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1758
1	441
0	192

prune347.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (/ (* x x) 1.0) 1.0) -1/2)
0.0b	(/ (log (- 1.0 x)) (+ (* (/ (/ (* x x) 1.0) 1.0) -1/2) (+ (log 1.0) (* x 1.0))))
5.3b	(log (- 1.0 x))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
38×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`add-cube-cbrt`
25×	`associate-l`
20×	`add-exp-log`
19×	`add-cbrt-cube`
10×	`pow1`
6×	`cbrt-undiv` `div-exp`
5×	`log-prod` `prod-exp` `log-pow` `cbrt-unprod` `div-inv`
4×	`log-div` `associate-/r/` `associate-/l*`
3×	`associate-/r` `associate-r` `associate-l/` `add-log-exp` `unswap-sqr`
2×	`flip3-+` `flip3--` `div-sub` `frac-add` `flip-+` `flip--`
1×	`clear-num` `frac-2neg` `rem-log-exp` `pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 102

Calls

3 calls:

54.0ms	(* (/ (/ (* x x) 1.0) 1.0) -1/2)
74.0ms	(/ (log (- 1.0 x)) (+ (* (/ (/ (* x x) 1.0) 1.0) -1/2) (+ (log 1.0) (* x 1.0))))
4.0ms	(log (- 1.0 x))

series237.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* (/ (/ (* x x) 1.0) 1.0) -1/2)
153.0ms	(/ (log (- 1.0 x)) (+ (* (/ (/ (* x x) 1.0) 1.0) -1/2) (+ (log 1.0) (* x 1.0))))
53.0ms	(log (- 1.0 x))

simplify2.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	4751
1	830
0	311

prune774.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (/ x 1.0) (/ x 1.0)) 1/2)
0.0b	(* (/ (/ (* x x) 1.0) 1.0) -1/2)
0.0b	(/ (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2)) (+ (* (/ (/ (* x x) 1.0) 1.0) -1/2) (+ (log 1.0) (* x 1.0))))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
37×	`add-cbrt-cube` `add-exp-log`
36×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
26×	`associate-l`
15×	`associate-*l/`
14×	`prod-exp` `cbrt-unprod`
10×	`pow1` `cbrt-undiv` `div-exp`
8×	`associate-/l/`
6×	`associate-r` `frac-sub`
5×	`div-inv`
4×	`flip3--` `pow-prod-down` `associate-/r/` `flip--` `unswap-sqr`
3×	`frac-times` `associate-/r` `associate-r/` `associate-/l*` `add-log-exp`
2×	`flip3-+` `frac-add` `*-commutative` `flip-+`
1×	`clear-num` `frac-2neg` `div-sub`

Counts

3 → 117

Calls

3 calls:

32.0ms	(* (* (/ x 1.0) (/ x 1.0)) 1/2)
38.0ms	(* (/ (/ (* x x) 1.0) 1.0) -1/2)
159.0ms	(/ (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2)) (+ (* (/ (/ (* x x) 1.0) 1.0) -1/2) (+ (log 1.0) (* x 1.0))))

series200.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (* (/ x 1.0) (/ x 1.0)) 1/2)
29.0ms	(* (/ (/ (* x x) 1.0) 1.0) -1/2)
144.0ms	(/ (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2)) (+ (* (/ (/ (* x x) 1.0) 1.0) -1/2) (+ (log 1.0) (* x 1.0))))

simplify389.0ms

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
1	877
0	288

prune906.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ x (/ 1.0 x))
0.1b	(/ x (/ 1.0 x))
0.1b	(/ x (/ 1.0 x))
29.2b	(/ (/ (/ x (/ 1.0 x)) 1.0) (/ (+ (+ (/ (* -1/2 (/ x (/ 1.0 x))) 1.0) (* 1.0 x)) (log 1.0)) 1/2))

rewrite876.0ms

Algorithm

rewrite-expression-head

Rules

11464×	`times-frac`
5596×	`*-un-lft-identity`
4363×	`add-sqr-sqrt` `add-cube-cbrt`
822×	`distribute-lft-out`
415×	`pow1`
413×	`div-inv`
411×	`log-pow`
145×	`associate-/l*`
64×	`associate-/r/`
58×	`associate-/r*`
51×	`add-cbrt-cube` `add-exp-log`
33×	`cbrt-undiv` `div-exp`
4×	`clear-num` `frac-2neg` `add-log-exp`
1×	`associate-/l/`

Counts

4 → 2977

Calls

4 calls:

15.0ms	(/ x (/ 1.0 x))
18.0ms	(/ x (/ 1.0 x))
8.0ms	(/ x (/ 1.0 x))
281.0ms	(/ (/ (/ x (/ 1.0 x)) 1.0) (/ (+ (+ (/ (* -1/2 (/ x (/ 1.0 x))) 1.0) (* 1.0 x)) (log 1.0)) 1/2))

series236.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ x (/ 1.0 x))
30.0ms	(/ x (/ 1.0 x))
27.0ms	(/ x (/ 1.0 x))
151.0ms	(/ (/ (/ x (/ 1.0 x)) 1.0) (/ (+ (+ (/ (* -1/2 (/ x (/ 1.0 x))) 1.0) (* 1.0 x)) (log 1.0)) 1/2))

simplify2.0s

Counts

2989 → 2989

Iterations

Iter	Nodes
done	5001
0	3867

prune17.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes72.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample7.7s

Algorithm

intervals

Results

4.7s	3402×	body	1280	valid
1.6s	2446×	body	640	valid
873.0ms	1285×	body	320	valid
146.0ms	8000×	pre	80	true
111.0ms	635×	body	160	valid
18.0ms	232×	body	80	valid