Details

sample107.0ms

Algorithm

intervals

Results

55.0ms	66×	body	1280	valid
21.0ms	52×	body	640	valid
6.0ms	31×	body	320	valid
4.0ms	96×	body	80	valid
3.0ms	85×	body	80	nan
1.0ms	11×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize10.0ms

Local error

Found 1 expressions with local error:

3.9b	(log (+ 1.0 x))

rewrite7.0ms

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:

7.0ms

(log (+ 1.0 x))

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(log (+ 1.0 x))

simplify1.4s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
3	1662
2	419
1	131
0	60

prune116.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune7.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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×	`expm1-log1p-u` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `rem-log-exp` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

2 → 44

Calls

2 calls:

8.0ms	(log (sqrt (+ 1.0 x)))
10.0ms	(log (sqrt (+ 1.0 x)))

series261.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(log (sqrt (+ 1.0 x)))
122.0ms	(log (sqrt (+ 1.0 x)))

simplify1.9s

Counts

50 → 50

Iterations

Iter	Nodes
done	5002
3	2183
2	446
1	145
0	74

prune187.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (* (+ x 1.0) (- 1.0 x))) (log (- 1.0 x)))
0.0b	(* (+ x 1.0) (- 1.0 x))
1.3b	(log (* (+ x 1.0) (- 1.0 x)))
3.9b	(log (- 1.0 x))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
39×	`pow1`
38×	`prod-diff`
30×	`add-cube-cbrt`
25×	`log-pow`
20×	`log-div`
12×	`frac-times` `log-prod` `flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log`
9×	`flip3-+` `pow-prod-down` `flip-+` `distribute-lft-out--`
8×	`associate--l-`
6×	`add-cbrt-cube` `associate-l/` `associate-r/`
5×	`fma-neg` `associate-r` `associate--r+`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`sub-neg` `rem-log-exp`
2×	`prod-exp` `associate--r-`
1×	`diff-log` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 155

Calls

4 calls:

114.0ms	(- (log (* (+ x 1.0) (- 1.0 x))) (log (- 1.0 x)))
37.0ms	(* (+ x 1.0) (- 1.0 x))
15.0ms	(log (* (+ x 1.0) (- 1.0 x)))
5.0ms	(log (- 1.0 x))

series456.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(- (log (* (+ x 1.0) (- 1.0 x))) (log (- 1.0 x)))
72.0ms	(* (+ x 1.0) (- 1.0 x))
148.0ms	(log (* (+ x 1.0) (- 1.0 x)))
49.0ms	(log (- 1.0 x))

simplify2.3s

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
2	4478
1	768
0	273

prune537.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

98% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 21.3b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.3s	2329×	body	1280	valid
725.0ms	1573×	body	640	valid
151.0ms	863×	body	320	valid
97.0ms	2809×	body	80	valid
91.0ms	2645×	body	80	nan
33.0ms	426×	body	160	valid