Details

sample102.0ms

Algorithm

intervals

Results

57.0ms	75×	body	1280	valid
19.0ms	47×	body	640	valid
8.0ms	35×	body	320	valid
4.0ms	86×	body	80	valid
2.0ms	13×	body	160	valid
2.0ms	47×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.2b

localize13.0ms

Local error

Found 1 expressions with local error:

4.5b	(log (+ 1 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

8.0ms

(log (+ 1 x))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(log (+ 1 x))

simplify3.3s

Counts

19 → 19

Iterations

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

prune86.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x x) (- (* 1/3 x) 1/2))
0.4b	(* 1/3 x)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

2 → 45

Calls

2 calls:

44.0ms	(* (* x x) (- (* 1/3 x) 1/2))
7.0ms	(* 1/3 x)

series127.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* (* x x) (- (* 1/3 x) 1/2))
16.0ms	(* 1/3 x)

simplify2.6s

Counts

51 → 51

Iterations

Iter	Nodes
done	5006
3	3248
2	698
1	228
0	81

prune173.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1 x))
0.0b	(sqrt (+ 1 x))
4.5b	(log (sqrt (+ 1 x)))
4.5b	(log (sqrt (+ 1 x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 76

Calls

4 calls:

6.0ms	(sqrt (+ 1 x))
10.0ms	(sqrt (+ 1 x))
7.0ms	(log (sqrt (+ 1 x)))
8.0ms	(log (sqrt (+ 1 x)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(sqrt (+ 1 x))
35.0ms	(sqrt (+ 1 x))
79.0ms	(log (sqrt (+ 1 x)))
75.0ms	(log (sqrt (+ 1 x)))

simplify3.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5021
5	3864
4	1525
3	679
2	323
1	155
0	81

prune448.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (sqrt (- 1 (* x x)))) (log (sqrt (- 1 x))))
2.3b	(log (sqrt (- 1 (* x x))))
4.3b	(log (sqrt (- 1 x)))
4.5b	(log (sqrt (+ 1 x)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

41×	`log-prod`
28×	`*-un-lft-identity`
26×	`sqrt-prod`
24×	`add-sqr-sqrt`
17×	`log-pow`
16×	`pow1`
14×	`add-cube-cbrt`
10×	`log-div` `sqrt-div`
9×	`associate--r+` `difference-of-squares`
8×	`associate--l+` `distribute-lft-out--`
7×	`add-exp-log`
5×	`sqrt-pow1` `flip3--` `pow1/2` `flip--`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`rem-log-exp`
2×	`associate--l-` `associate--r-`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out`

Counts

4 → 107

Calls

4 calls:

21.0ms	(- (log (sqrt (- 1 (* x x)))) (log (sqrt (- 1 x))))
9.0ms	(log (sqrt (- 1 (* x x))))
6.0ms	(log (sqrt (- 1 x)))
5.0ms	(log (sqrt (+ 1 x)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(- (log (sqrt (- 1 (* x x)))) (log (sqrt (- 1 x))))
138.0ms	(log (sqrt (- 1 (* x x))))
59.0ms	(log (sqrt (- 1 x)))
74.0ms	(log (sqrt (+ 1 x)))

simplify2.4s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
3	3222
2	1044
1	447
0	223

prune629.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.1b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	16

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.5s	2270×	body	1280	valid
609.0ms	1642×	body	640	valid
188.0ms	830×	body	320	valid
110.0ms	2858×	body	80	valid
70.0ms	2672×	body	80	nan
43.0ms	400×	body	160	valid