Details

sample214.0ms

Algorithm

intervals

Results

124.0ms	106×	body	1280	valid
54.0ms	91×	body	640	valid
9.0ms	34×	body	320	valid
5.0ms	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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 75

Calls

3 calls:

22.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
10.0ms	(log (- 1.0 x))
8.0ms	(log (+ 1.0 x))

series313.0ms

Counts

3 → 9

Calls

3 calls:

179.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
65.0ms	(log (- 1.0 x))
69.0ms	(log (+ 1.0 x))

simplify1.6s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1839
1	457
0	191

prune462.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`times-frac` `add-cube-cbrt`
7×	`pow1`
5×	`log-prod` `add-exp-log` `log-pow`
4×	`log-div` `add-cbrt-cube` `associate-/l*`
3×	`associate-/r*`
2×	`expm1-log1p-u` `flip3--` `div-sub` `log1p-expm1-u` `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 → 53

Calls

2 calls:

16.0ms	(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
9.0ms	(log (- 1.0 x))

series266.0ms

Counts

2 → 6

Calls

2 calls:

196.0ms	(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
70.0ms	(log (- 1.0 x))

simplify1.3s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	1659
1	433
0	182

prune441.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`times-frac`
12×	`add-cube-cbrt`
8×	`distribute-lft-out--`
6×	`associate-/l*`
5×	`pow1`
4×	`log-pow` `difference-of-squares`
3×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`associate-/l/`
1×	`expm1-log1p-u` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 44

Calls

1 calls:

29.0ms

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

series137.0ms

Counts

1 → 3

Calls

1 calls:

137.0ms

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

simplify1.4s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	823
1	229
0	100

prune283.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

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

rewrite38.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u` `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 → 181

Calls

4 calls:

12.0ms	(/ (log (+ 1.0 x)) (log (- 1.0 x)))
10.0ms	(/ 1 (/ (log (+ 1.0 x)) (log (- 1.0 x))))
5.0ms	(log (- 1.0 x))
4.0ms	(log (+ 1.0 x))

series494.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(/ (log (+ 1.0 x)) (log (- 1.0 x)))
160.0ms	(/ 1 (/ (log (+ 1.0 x)) (log (- 1.0 x))))
78.0ms	(log (- 1.0 x))
83.0ms	(log (+ 1.0 x))

simplify2.6s

Counts

193 → 193

Iterations

Iter	Nodes
done	5000
2	4750
1	890
0	342

prune699.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes70.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample7.9s

Algorithm

intervals

Results

5.3s	3402×	body	1280	valid
1.6s	2446×	body	640	valid
417.0ms	1285×	body	320	valid
157.0ms	8000×	pre	80	true
121.0ms	635×	body	160	valid
19.0ms	232×	body	80	valid