Details

sample86.0ms

Algorithm

intervals

Results

47.0ms	85×	body	10240	exit
14.0ms	272×	body	80	valid
2.0ms	6×	body	640	valid
2.0ms	2×	body	1280	valid
1.0ms	6×	body	320	valid
1.0ms	6×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

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)))

rewrite27.0ms

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:

7.0ms	(+ 1.0 (exp x))
12.0ms	(- (log (+ 1.0 (exp x))) (* x y))
6.0ms	(log (+ 1.0 (exp x)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ 1.0 (exp x))
74.0ms	(- (log (+ 1.0 (exp x))) (* x y))
101.0ms	(log (+ 1.0 (exp x)))

simplify2.5s

Counts

54 → 54

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	92	575
1	208	544
2	499	514
3	1195	508
4	2600	506
done	5000	506

prune186.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize13.0ms

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))))

rewrite45.0ms

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:

7.0ms	(+ 1.0 (exp x))
22.0ms	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
7.0ms	(log (sqrt (+ 1.0 (exp x))))
7.0ms	(log (sqrt (+ 1.0 (exp x))))

series506.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
199.0ms	(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
157.0ms	(log (sqrt (+ 1.0 (exp x))))
142.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify2.8s

Counts

85 → 85

Iterations

Useful iterations: 3 (382.0ms)

Iter	Nodes	Cost
0	108	1015
1	228	944
2	524	885
3	1306	864
4	3635	864
done	5001	864

prune346.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize24.0ms

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)))))

rewrite40.0ms

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))
13.0ms	(log (sqrt (+ 1.0 (exp x))))
8.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
10.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

series738.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ 1.0 (exp x))
159.0ms	(log (sqrt (+ 1.0 (exp x))))
261.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))
297.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

simplify2.9s

Counts

94 → 94

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	133	1110
1	247	1032
2	520	960
3	1292	946
4	4514	942
done	5000	942

prune469.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize34.0ms

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)))))

rewrite52.0ms

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:

10.0ms	(+ 1.0 (exp x))
17.0ms	(log (+ 1.0 (exp x)))
10.0ms	(log (sqrt (+ 1.0 (exp x))))
12.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

series414.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
69.0ms	(log (+ 1.0 (exp x)))
109.0ms	(log (sqrt (+ 1.0 (exp x))))
227.0ms	(log (sqrt (sqrt (+ 1.0 (exp x)))))

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	155	926
1	281	868
2	601	802
3	1549	790
done	5000	786

prune734.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes111.0ms

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

sample3.0s

Algorithm

intervals

Results

1.8s	2437×	body	10240	exit
559.0ms	8408×	body	80	valid
105.0ms	125×	body	1280	valid
101.0ms	279×	body	640	valid
34.0ms	161×	body	320	valid
17.0ms	119×	body	160	valid