Details

sample82.0ms

Algorithm

intervals

Results

42.0ms	66×	body	1280	valid
17.0ms	52×	body	640	valid
5.0ms	31×	body	320	valid
3.0ms	96×	body	80	valid
2.0ms	85×	body	80	nan
1.0ms	11×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize5.0ms

Local error

Found 1 expressions with local error:

3.9b	(log (+ 1.0 x))

rewrite4.0ms

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:

4.0ms

(log (+ 1.0 x))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(log (+ 1.0 x))

simplify896.0ms

Counts

18 → 18

Iterations

Iter	Nodes
done	5001
3	1263
2	369
1	123
0	58

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-+l+` `add-log-exp`
3×	`log-prod` `associate--l+`
2×	`add-sqr-sqrt` `sum-log` `*-un-lft-identity` `add-cube-cbrt`
1×	`pow1` `+-commutative` `sub-neg` `flip3-+` `add-cbrt-cube` `diff-log` `add-exp-log` `associate-+l-` `flip-+`

Counts

1 → 18

Calls

1 calls:

37.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify2.7s

Counts

21 → 21

Iterations

Iter	Nodes
done	5000
3	3513
2	545
1	146
0	51

prune119.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (- 1.0 (* x 0.5)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

16.0ms

(* x (- 1.0 (* x 0.5)))

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(* x (- 1.0 (* x 0.5)))

simplify2.6s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	4580
2	569
1	133
0	51

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

3.9b	(log (sqrt (+ 1.0 x)))
3.9b	(log (sqrt (+ 1.0 x)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

4.0ms	(log (sqrt (+ 1.0 x)))
5.0ms	(log (sqrt (+ 1.0 x)))

series260.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(log (sqrt (+ 1.0 x)))
135.0ms	(log (sqrt (+ 1.0 x)))

simplify1.3s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
3	2041
2	424
1	137
0	72

prune238.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes110.0ms

Accuracy

97.9% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.7b

bsearch3.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.5s	2329×	body	1280	valid
531.0ms	1573×	body	640	valid
131.0ms	863×	body	320	valid
89.0ms	2809×	body	80	valid
56.0ms	2645×	body	80	nan
38.0ms	426×	body	160	valid