Details

sample150.0ms

Algorithm

intervals

Results

94.0ms	85×	body	10240	exit
22.0ms	272×	body	80	valid
3.0ms	6×	body	640	valid
3.0ms	2×	body	1280	valid
2.0ms	6×	body	320	valid
1.0ms	6×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
done	19	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.6b	(log (+ 1.0 (exp x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

12.0ms	(+ 1.0 (exp x))
23.0ms	(- (log (+ 1.0 (exp x))) (* x y))
11.0ms	(log (+ 1.0 (exp x)))

series212.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ 1.0 (exp x))
110.0ms	(- (log (+ 1.0 (exp x))) (* x y))
86.0ms	(log (+ 1.0 (exp x)))

simplify6.2s

Counts

54 → 54

Iterations

Useful iterations: 2 (1.6s)

Iter	Nodes	Cost
0	92	575
1	359	540
2	3827	508
done	5000	508

prune213.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
1.3b	(log (sqrt (+ 1.0 (exp x))))
1.3b	(log (sqrt (+ 1.0 (exp x))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
18×	`*-un-lft-identity`
12×	`sqrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`associate--l+` `add-log-exp`
6×	`add-exp-log` `log-div` `sqrt-div` `log-pow`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`associate--l-` `sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `flip--`

Counts

4 → 73

Calls

4 calls:

12.0ms	(+ 1.0 (exp x))
17.0ms	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
9.0ms	(log (sqrt (+ 1.0 (exp x))))
19.0ms	(log (sqrt (+ 1.0 (exp x))))

series503.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
213.0ms	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
137.0ms	(log (sqrt (+ 1.0 (exp x))))
143.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify6.8s

Counts

85 → 85

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	108	1015
1	387	916
2	3213	879
done	5000	879

prune438.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
1.3b	(log (sqrt (+ 1.0 (exp x))))
1.3b	(log (sqrt (sqrt (+ 1.0 (exp x)))))
1.3b	(log (sqrt (sqrt (+ 1.0 (exp x)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
26×	`sqrt-prod`
20×	`*-un-lft-identity`
13×	`log-pow`
12×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
10×	`sqrt-div`
9×	`sqrt-pow1`
7×	`add-exp-log`
6×	`log-div` `add-log-exp`
5×	`pow1/2`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
3×	`rem-log-exp`
1×	`+-commutative` `sum-log`

Counts

4 → 82

Calls

4 calls:

6.0ms	(+ 1.0 (exp x))
7.0ms	(log (sqrt (+ 1.0 (exp x))))
8.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
10.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

series803.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ 1.0 (exp x))
166.0ms	(log (sqrt (+ 1.0 (exp x))))
303.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
320.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

simplify1.4s

Counts

94 → 94

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	133	1110
1	497	1009
done	5001	961

prune600.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.6b	(log (+ 1.0 (exp x)))
1.3b	(log (sqrt (+ 1.0 (exp x))))
1.3b	(log (sqrt (sqrt (+ 1.0 (exp x)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
18×	`*-un-lft-identity`
15×	`sqrt-prod`
10×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
9×	`log-pow`
7×	`add-exp-log`
6×	`log-div` `sqrt-div` `add-log-exp`
5×	`sqrt-pow1`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
3×	`pow1/2` `rem-log-exp`
1×	`+-commutative` `sum-log`

Counts

4 → 72

Calls

4 calls:

7.0ms	(+ 1.0 (exp x))
6.0ms	(log (+ 1.0 (exp x)))
14.0ms	(log (sqrt (+ 1.0 (exp x))))
17.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

series565.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
68.0ms	(log (+ 1.0 (exp x)))
189.0ms	(log (sqrt (+ 1.0 (exp x))))
298.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

simplify1.2s

Counts

84 → 84

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	155	926
1	597	847
done	5001	799

prune467.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes89.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.4s	2437×	body	10240	exit
703.0ms	8408×	body	80	valid
168.0ms	279×	body	640	valid
104.0ms	125×	body	1280	valid
78.0ms	161×	body	320	valid
19.0ms	119×	body	160	valid