Details

sample107.0ms

Algorithm

intervals

Results

63.0ms	94×	body	10240	exit
17.0ms	274×	body	80	valid
3.0ms	9×	body	640	valid
1.0ms	1×	body	1280	valid
1.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* y x))
0.0b	(+ 1.0 (exp x))
0.3b	(log (+ 1.0 (exp x)))

rewrite64.0ms

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` `log-div` `associate--l+` `add-exp-log`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 45

Calls

3 calls:

44.0ms	(- (log (+ 1.0 (exp x))) (* y x))
10.0ms	(+ 1.0 (exp x))
9.0ms	(log (+ 1.0 (exp x)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- (log (+ 1.0 (exp x))) (* y x))
16.0ms	(+ 1.0 (exp x))
113.0ms	(log (+ 1.0 (exp x)))

simplify1.8s

Counts

54 → 54

Iterations

Iter	Nodes
done	5001
3	3863
2	752
1	215
0	93

prune235.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

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

series332.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ 1.0 (exp x))
9.0ms	(+ 1.0 (exp x))
139.0ms	(log (sqrt (+ 1.0 (exp x))))
166.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify833.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	1885
2	435
1	156
0	80

prune389.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (log (sqrt (+ 1.0 (exp x)))))
0.7b	(exp (log (log (sqrt (+ 1.0 (exp x))))))
1.0b	(log (sqrt (+ 1.0 (exp x))))
1.0b	(log (sqrt (+ 1.0 (exp x))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

26×	`log-prod`
15×	`*-un-lft-identity`
14×	`pow1` `log-pow`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`add-exp-log`
6×	`exp-sum`
4×	`log-div` `exp-prod` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `sqrt-div` `add-log-exp`
3×	`rem-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`rem-exp-log`

Counts

4 → 73

Calls

4 calls:

3.0ms	(log (log (sqrt (+ 1.0 (exp x)))))
6.0ms	(exp (log (log (sqrt (+ 1.0 (exp x))))))
11.0ms	(log (sqrt (+ 1.0 (exp x))))
5.0ms	(log (sqrt (+ 1.0 (exp x))))

series744.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(log (log (sqrt (+ 1.0 (exp x)))))
158.0ms	(exp (log (log (sqrt (+ 1.0 (exp x))))))
167.0ms	(log (sqrt (+ 1.0 (exp x))))
134.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify2.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	4395
2	672
1	226
0	121

prune461.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize80.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

5.0ms	(log (sqrt (+ 1.0 (exp x))))
5.0ms	(log (sqrt (+ 1.0 (exp x))))
5.0ms	(log (sqrt (+ 1.0 (exp x))))
9.0ms	(log (sqrt (+ 1.0 (exp x))))

series630.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(log (sqrt (+ 1.0 (exp x))))
170.0ms	(log (sqrt (+ 1.0 (exp x))))
145.0ms	(log (sqrt (+ 1.0 (exp x))))
161.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify695.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	1442
2	329
1	128
0	71

prune650.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes87.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.1s	2333×	body	10240	exit
714.0ms	8373×	body	80	valid
189.0ms	285×	body	640	valid
113.0ms	142×	body	1280	valid
54.0ms	207×	body	320	valid
19.0ms	110×	body	160	valid