Details

sample88.0ms

Algorithm

intervals

Results

44.0ms	60×	body	1280	valid
19.0ms	58×	body	640	valid
6.0ms	31×	body	320	valid
4.0ms	96×	body	80	valid
2.0ms	70×	body	80	nan
1.0ms	11×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4
done	5	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.7b

localize5.0ms

Local error

Found 1 expressions with local error:

3.5b	(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×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

4.0ms

(log (+ 1.0 x))

series58.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(log (+ 1.0 x))

simplify1.2s

Counts

20 → 20

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	60	188
1	131	179
2	419	159
3	1662	158
done	5000	153

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

6.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify625.0ms

Counts

13 → 13

Iterations

Useful iterations: done (623.0ms)

Iter	Nodes	Cost
0	25	225
1	46	222
2	160	194
3	707	191
done	5001	188

prune99.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x (- 1.0 (* 0.5 x)) (log 1.0))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(fma x (- 1.0 (* 0.5 x)) (log 1.0))

simplify2.3s

Counts

13 → 13

Iterations

Useful iterations: 4 (473.0ms)

Iter	Nodes	Cost
0	23	163
1	41	163
2	117	142
3	476	139
4	3591	136
done	5000	136

prune71.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
3.5b	(log (sqrt (+ 1.0 x)))
3.5b	(log (sqrt (+ 1.0 x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`log-prod`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `log-div` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp` `hypot-def`

Counts

4 → 82

Calls

4 calls:

8.0ms	(sqrt (+ 1.0 x))
6.0ms	(sqrt (+ 1.0 x))
5.0ms	(log (sqrt (+ 1.0 x)))
5.0ms	(log (sqrt (+ 1.0 x)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sqrt (+ 1.0 x))
52.0ms	(sqrt (+ 1.0 x))
138.0ms	(log (sqrt (+ 1.0 x)))
120.0ms	(log (sqrt (+ 1.0 x)))

simplify1.8s

Counts

94 → 94

Iterations

Useful iterations: 3 (892.0ms)

Iter	Nodes	Cost
0	93	896
1	192	816
2	657	738
3	3455	730
done	5001	730

prune369.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes70.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	34
1	27	32
2	29	32
3	31	32
done	31	32

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.6s	2332×	body	1280	valid
985.0ms	1637×	body	640	valid
160.0ms	2798×	body	80	valid
144.0ms	843×	body	320	valid
64.0ms	2683×	body	80	nan
39.0ms	390×	body	160	valid