Details

sample279.0ms

Algorithm

intervals

Results

181.0ms	111×	body	1280	valid
59.0ms	84×	body	640	valid
13.0ms	36×	body	320	valid
5.0ms	256×	pre	80	true
4.0ms	21×	body	160	valid
0.0ms	4×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.8b	(log (- 1.0 x))
5.8b	(log (+ 1.0 x))

rewrite28.0ms

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 (+ 1.0 x)))
4.0ms	(log (- 1.0 x))
4.0ms	(log (+ 1.0 x))

series353.0ms

Counts

3 → 9

Calls

3 calls:

198.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
65.0ms	(log (- 1.0 x))
90.0ms	(log (+ 1.0 x))

simplify2.8s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
3	4796
2	1324
1	432
0	185

prune310.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.5b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (+ (* 1.0 x) (log 1.0))))
5.8b	(log (- 1.0 x))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

107.0ms	(/ (log (- 1.0 x)) (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (+ (* 1.0 x) (log 1.0))))
4.0ms	(log (- 1.0 x))

series238.0ms

Counts

2 → 6

Calls

2 calls:

159.0ms	(/ (log (- 1.0 x)) (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (+ (* 1.0 x) (log 1.0))))
78.0ms	(log (- 1.0 x))

simplify1.6s

Counts

63 → 63

Iterations

Iter	Nodes
done	5003
2	2260
1	594
0	224

prune363.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite382.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`times-frac`
12×	`add-cube-cbrt`
8×	`associate-*r/` `associate-/r/` `distribute-lft-out--`
6×	`frac-add` `associate-/l*`
5×	`pow1`
4×	`flip3-+` `log-pow` `flip-+` `difference-of-squares`
3×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`frac-times` `associate-*l/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `div-inv` `flip--` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

377.0ms

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

series143.0ms

Counts

1 → 3

Calls

1 calls:

143.0ms

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

simplify1.8s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	1735
1	461
0	148

prune263.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (log (+ 1.0 x)) (log (- 1.0 x)))
0.0b	(/ 1 (/ (log (+ 1.0 x)) (log (- 1.0 x))))
5.8b	(log (- 1.0 x))
5.8b	(log (+ 1.0 x))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
77×	`*-un-lft-identity`
75×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
49×	`pow1`
44×	`log-pow`
24×	`associate-/r*`
19×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`log-prod`
8×	`div-exp`
7×	`associate-/l*`
6×	`log-div` `div-inv`
4×	`cbrt-undiv` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `div-sub` `rem-log-exp` `flip-+`
1×	`flip3--` `associate-/r/` `pow-flip` `flip--` `distribute-lft-out` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 173

Calls

4 calls:

16.0ms	(/ (log (+ 1.0 x)) (log (- 1.0 x)))
20.0ms	(/ 1 (/ (log (+ 1.0 x)) (log (- 1.0 x))))
8.0ms	(log (- 1.0 x))
4.0ms	(log (+ 1.0 x))

series502.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(/ (log (+ 1.0 x)) (log (- 1.0 x)))
150.0ms	(/ 1 (/ (log (+ 1.0 x)) (log (- 1.0 x))))
80.0ms	(log (- 1.0 x))
67.0ms	(log (+ 1.0 x))

simplify2.3s

Counts

185 → 185

Iterations

Iter	Nodes
done	5000
2	2630
1	846
0	334

prune558.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	23
1	23
0	16

end0.0ms

sample6.9s

Algorithm

intervals

Results

4.1s	3436×	body	1280	valid
1.8s	2418×	body	640	valid
465.0ms	1296×	body	320	valid
202.0ms	8000×	pre	80	true
107.0ms	637×	body	160	valid
14.0ms	213×	body	80	valid