Details

sample57.0ms

Algorithm

intervals

Results

32.0ms	80×	body	10240	exit
10.0ms	275×	body	80	valid
2.0ms	6×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	4×	body	320	valid
0.0ms	2×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
3	23	9
done	23	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(log (+ 1.0 (exp x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
6×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `fma-neg` `prod-diff` `associate--l+`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--`

Counts

3 → 62

Calls

3 calls:

3.0ms	(+ 1.0 (exp x))
6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ 1.0 (exp x))
61.0ms	(- (log (+ 1.0 (exp x))) (* x y))
63.0ms	(log (+ 1.0 (exp x)))

simplify1.7s

Counts

71 → 71

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	105	724
1	235	686
2	584	635
3	1767	618
done	5000	593

prune182.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
0.8b	(log (sqrt (+ 1.0 (exp x))))
0.8b	(log (sqrt (+ 1.0 (exp x))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

50×	`log-pow`
40×	`pow1`
37×	`*-un-lft-identity`
26×	`fma-neg` `prod-diff`
20×	`distribute-rgt-out`
19×	`add-sqr-sqrt` `add-cube-cbrt` `distribute-lft-out`
14×	`log-prod` `sqrt-pow1` `pow1/2`
9×	`add-log-exp`
8×	`log-div` `sqrt-div` `sqrt-prod`
6×	`add-exp-log`
5×	`flip3-+` `flip-+`
4×	`associate--l-` `expm1-log1p-u` `distribute-lft1-in` `distribute-rgt1-in` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def`
2×	`associate-+l-` `associate-+r-` `count-2` `diff-log` `rem-log-exp` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 133

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
69.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
3.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1.0 (exp x))
142.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
108.0ms	(log (sqrt (+ 1.0 (exp x))))
102.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify1.4s

Counts

145 → 145

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	160	2031
1	355	1730
2	943	1462
3	3367	1381
done	5000	1355

prune340.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2504×	body	10240	exit
313.0ms	8445×	body	80	valid
75.0ms	283×	body	640	valid
54.0ms	108×	body	1280	valid
29.0ms	185×	body	320	valid
10.0ms	102×	body	160	valid