Details

sample106.0ms

Algorithm

intervals

Results

61.0ms	94×	body	10240	exit
18.0ms	274×	body	80	valid
4.0ms	9×	body	640	valid
2.0ms	1×	body	1280	valid
1.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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:

10.0ms	(- (log (+ 1.0 (exp x))) (* x y))
5.0ms	(+ 1.0 (exp x))
5.0ms	(log (+ 1.0 (exp x)))

series259.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(- (log (+ 1.0 (exp x))) (* x y))
15.0ms	(+ 1.0 (exp x))
129.0ms	(log (+ 1.0 (exp x)))

simplify1.4s

Counts

54 → 54

Iterations

Useful iterations: 3 (616.0ms)

Iter	Nodes	Cost
0	92	575
1	211	544
2	648	514
3	3010	508
done	5000	508

prune252.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

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))))

rewrite24.0ms

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))))
6.0ms	(log (sqrt (+ 1.0 (exp x))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ 1.0 (exp x))
17.0ms	(+ 1.0 (exp x))
134.0ms	(log (sqrt (+ 1.0 (exp x))))
122.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify795.0ms

Counts

76 → 76

Iterations

Useful iterations: done (792.0ms)

Iter	Nodes	Cost
0	80	764
1	156	720
2	435	656
3	1885	652
done	5000	648

prune499.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

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))))

rewrite23.0ms

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:

5.0ms	(log (log (sqrt (+ 1.0 (exp x)))))
3.0ms	(exp (log (log (sqrt (+ 1.0 (exp x))))))
5.0ms	(log (sqrt (+ 1.0 (exp x))))
7.0ms	(log (sqrt (+ 1.0 (exp x))))

series761.0ms

Counts

4 → 12

Calls

4 calls:

312.0ms	(log (log (sqrt (+ 1.0 (exp x)))))
145.0ms	(exp (log (log (sqrt (+ 1.0 (exp x))))))
132.0ms	(log (sqrt (+ 1.0 (exp x))))
171.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify2.3s

Counts

85 → 85

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	121	1036
1	226	946
2	672	835
3	4395	821
done	5000	813

prune479.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize58.0ms

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))))

rewrite48.0ms

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:

11.0ms	(log (sqrt (+ 1.0 (exp x))))
10.0ms	(log (sqrt (+ 1.0 (exp x))))
10.0ms	(log (sqrt (+ 1.0 (exp x))))
11.0ms	(log (sqrt (+ 1.0 (exp x))))

series610.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(log (sqrt (+ 1.0 (exp x))))
124.0ms	(log (sqrt (+ 1.0 (exp x))))
167.0ms	(log (sqrt (+ 1.0 (exp x))))
197.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify742.0ms

Counts

92 → 92

Iterations

Useful iterations: done (738.0ms)

Iter	Nodes	Cost
0	71	1080
1	128	1012
2	329	916
3	1442	908
done	5000	900

prune624.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes104.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	19
1	15	19
done	15	19

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.3s	2333×	body	10240	exit
837.0ms	8373×	body	80	valid
163.0ms	285×	body	640	valid
121.0ms	142×	body	1280	valid
88.0ms	207×	body	320	valid
19.0ms	110×	body	160	valid