Details

sample158.0ms

Algorithm

intervals

Results

99.0ms	85×	body	10240	exit
32.0ms	270×	body	80	valid
4.0ms	5×	body	640	valid
2.0ms	8×	body	160	valid
2.0ms	1×	body	1280	valid
1.0ms	3×	body	320	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	14
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1 (exp x))) (* x y))
0.0b	(+ 1 (exp x))
1.0b	(log (+ 1 (exp x)))

rewrite49.0ms

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-+` `insert-posit16` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 48

Calls

3 calls:

31.0ms	(- (log (+ 1 (exp x))) (* x y))
10.0ms	(+ 1 (exp x))
8.0ms	(log (+ 1 (exp x)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(- (log (+ 1 (exp x))) (* x y))
9.0ms	(+ 1 (exp x))
78.0ms	(log (+ 1 (exp x)))

simplify789.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	2000
3	1509
2	472
1	194
0	84

prune269.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(+ 1 (exp x))
1.7b	(log (sqrt (+ 1 (exp x))))
1.7b	(log (sqrt (+ 1 (exp x))))

rewrite32.0ms

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-+` `insert-posit16` `distribute-lft-out`
2×	`+-commutative` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp`

Counts

4 → 68

Calls

4 calls:

5.0ms	(+ 1 (exp x))
8.0ms	(+ 1 (exp x))
9.0ms	(log (sqrt (+ 1 (exp x))))
9.0ms	(log (sqrt (+ 1 (exp x))))

series289.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ 1 (exp x))
14.0ms	(+ 1 (exp x))
114.0ms	(log (sqrt (+ 1 (exp x))))
148.0ms	(log (sqrt (+ 1 (exp x))))

simplify693.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	2000
3	968
2	421
1	160
0	80

prune370.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
1.7b	(log (sqrt (+ 1 (exp x))))
1.7b	(log (sqrt (sqrt (+ 1 (exp x)))))
1.7b	(log (sqrt (sqrt (+ 1 (exp x)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
26×	`sqrt-prod`
20×	`*-un-lft-identity`
13×	`log-pow`
12×	`add-sqr-sqrt` `pow1` `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-+` `insert-posit16` `distribute-lft-out`
3×	`rem-log-exp`
1×	`+-commutative` `sum-log`

Counts

4 → 86

Calls

4 calls:

4.0ms	(+ 1 (exp x))
4.0ms	(log (sqrt (+ 1 (exp x))))
12.0ms	(log (sqrt (sqrt (+ 1 (exp x)))))
9.0ms	(log (sqrt (sqrt (+ 1 (exp x)))))

series437.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1 (exp x))
101.0ms	(log (sqrt (+ 1 (exp x))))
176.0ms	(log (sqrt (sqrt (+ 1 (exp x)))))
152.0ms	(log (sqrt (sqrt (+ 1 (exp x)))))

simplify809.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	2000
3	1526
2	594
1	237
0	128

prune460.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* x 1/2) x) (+ x 2))
0.0b	(- (log (+ (* (* x 1/2) x) (+ x 2))) (* x y))
6.6b	(log (+ (* (* x 1/2) x) (+ x 2)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
6×	`log-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-div` `add-exp-log`
3×	`sum-log` `flip3-+` `add-cbrt-cube` `associate--l+` `flip-+` `insert-posit16`
2×	`associate--l-`
1×	`+-commutative` `associate-+r+` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 47

Calls

3 calls:

31.0ms	(+ (* (* x 1/2) x) (+ x 2))
38.0ms	(- (log (+ (* (* x 1/2) x) (+ x 2))) (* x y))
31.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (* (* x 1/2) x) (+ x 2))
80.0ms	(- (log (+ (* (* x 1/2) x) (+ x 2))) (* x y))
50.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))

simplify498.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	2002
2	958
1	285
0	108

prune184.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

regimes129.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.5s	2380×	body	10240	exit
710.0ms	8332×	body	80	valid
134.0ms	263×	body	640	valid
120.0ms	119×	body	1280	valid
67.0ms	210×	body	320	valid
23.0ms	122×	body	160	valid