Details

sample201.0ms

Algorithm

intervals

Results

117.0ms	99×	body	1280	valid
47.0ms	82×	body	640	valid
14.0ms	44×	body	320	valid
7.0ms	256×	pre	80	true
4.0ms	21×	body	160	valid
1.0ms	10×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.3b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
7.0b	(log (- 1 x))
7.2b	(log (+ 1 x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
10×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`insert-posit16` `add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 73

Calls

3 calls:

34.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
9.0ms	(log (- 1 x))
6.0ms	(log (+ 1 x))

series176.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
44.0ms	(log (- 1 x))
41.0ms	(log (+ 1 x))

simplify2.6s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	3941
2	1125
1	404
0	178

prune298.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`associate-l` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`diff-log` `insert-posit16`
1×	`sum-log` `sub-neg` `flip3--` `associate-r` `associate--l+` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

21.0ms	(* -1/2 (* x x))
176.0ms	(- (+ (* -1/2 (* x x)) -1) x)

series50.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* -1/2 (* x x))
21.0ms	(- (+ (* -1/2 (* x x)) -1) x)

simplify2.8s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
3	2834
2	581
1	182
0	74

prune157.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
3.9b	(log (- 1 (* x x)))
7.2b	(log (+ 1 x))
7.2b	(log (+ 1 x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
36×	`pow1`
32×	`add-sqr-sqrt` `times-frac` `log-pow`
21×	`add-cube-cbrt`
20×	`distribute-lft-out--`
13×	`log-prod`
9×	`add-exp-log`
8×	`associate-/l*`
7×	`difference-of-squares`
6×	`log-div` `add-cbrt-cube`
4×	`associate-/r*` `insert-posit16` `add-log-exp`
3×	`rem-log-exp`
2×	`flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

4 → 109

Calls

4 calls:

38.0ms	(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
7.0ms	(log (- 1 (* x x)))
6.0ms	(log (+ 1 x))
4.0ms	(log (+ 1 x))

series323.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log (+ 1 x)))
146.0ms	(log (- 1 (* x x)))
23.0ms	(log (+ 1 x))
22.0ms	(log (+ 1 x))

simplify1.6s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1483
1	527
0	212

prune410.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

7.2b	(log (+ 1 x))
7.2b	(log (+ 1 x))
7.2b	(log (+ 1 x))
7.2b	(log (+ 1 x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
4×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

4.0ms	(log (+ 1 x))
9.0ms	(log (+ 1 x))
8.0ms	(log (+ 1 x))
8.0ms	(log (+ 1 x))

series106.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(log (+ 1 x))
29.0ms	(log (+ 1 x))
24.0ms	(log (+ 1 x))
23.0ms	(log (+ 1 x))

simplify3.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
5	4335
4	1444
3	558
2	241
1	112
0	55

prune348.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes67.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample8.2s

Algorithm

intervals

Results

4.8s	3426×	body	1280	valid
1.8s	2506×	body	640	valid
1.0s	1223×	body	320	valid
265.0ms	8000×	pre	80	true
120.0ms	614×	body	160	valid
20.0ms	231×	body	80	valid