Details

sample91.0ms

Algorithm

intervals

Results

44.0ms	60×	body	1280	valid
22.0ms	60×	body	640	valid
6.0ms	31×	body	320	valid
4.0ms	92×	body	80	valid
3.0ms	87×	body	80	nan
2.0ms	13×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	5
1	5
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.5b

localize11.0ms

Local error

Found 1 expressions with local error:

4.1b	(log (+ 1 x))

rewrite6.0ms

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-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

5.0ms

(log (+ 1 x))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(log (+ 1 x))

simplify1.2s

Counts

18 → 18

Iterations

Iter	Nodes
5	2782
4	1059
3	432
2	207
1	104
0	54

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ -1/2 (* x 1/3))
0.0b	(* (* x x) (+ -1/2 (* x 1/3)))
0.3b	(* x 1/3)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

8.0ms	(+ -1/2 (* x 1/3))
40.0ms	(* (* x x) (+ -1/2 (* x 1/3)))
6.0ms	(* x 1/3)

series200.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ -1/2 (* x 1/3))
117.0ms	(* (* x x) (+ -1/2 (* x 1/3)))
17.0ms	(* x 1/3)

simplify2.0s

Counts

61 → 61

Iterations

Iter	Nodes
3	3910
2	907
1	249
0	88

prune363.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (* x x))
0.0b	(- (log (- 1 (* x x))) (log (- 1 x)))
1.8b	(log (- 1 (* x x)))
4.1b	(log (- 1 x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
21×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
11×	`difference-of-squares`
10×	`pow1`
8×	`log-div` `add-cube-cbrt`
6×	`flip3--` `add-exp-log` `log-pow` `flip--` `associate--r+` `distribute-lft-out--` `add-log-exp`
5×	`associate--l+`
4×	`add-cbrt-cube`
2×	`associate--l-` `sub-neg` `diff-log` `rem-log-exp` `associate--r-`

Counts

4 → 79

Calls

4 calls:

4.0ms	(- 1 (* x x))
11.0ms	(- (log (- 1 (* x x))) (log (- 1 x)))
6.0ms	(log (- 1 (* x x)))
7.0ms	(log (- 1 x))

series261.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- 1 (* x x))
71.0ms	(- (log (- 1 (* x x))) (log (- 1 x)))
106.0ms	(log (- 1 (* x x)))
25.0ms	(log (- 1 x))

simplify984.0ms

Counts

91 → 91

Iterations

Iter	Nodes
3	2068
2	794
1	349
0	162

prune607.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes100.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.3b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	19
1	19
0	14

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.8s	2215×	body	1280	valid
571.0ms	1657×	body	640	valid
177.0ms	2888×	body	80	valid
153.0ms	834×	body	320	valid
108.0ms	2793×	body	80	nan
45.0ms	406×	body	160	valid