Details

sample59.0ms

Algorithm

intervals

Results

39.0ms	98×	body	10240	exit
8.0ms	256×	body	80	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
done	7	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.0b	(/ (exp a) (+ (exp a) (exp b)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

9.0ms	(+ (exp a) (exp b))
19.0ms	(/ (exp a) (+ (exp a) (exp b)))

series57.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (exp a) (exp b))
37.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.6s

Counts

51 → 51

Iterations

Useful iterations: 3 (145.0ms)

Iter	Nodes	Cost
0	78	616
1	164	587
2	382	548
3	730	546
4	1872	546
done	5000	546

prune108.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
1.3b	(- a (log (+ (exp a) (exp b))))
4.4b	(log (+ (exp a) (exp b)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

18.0ms	(exp (- a (log (+ (exp a) (exp b)))))
11.0ms	(+ (exp a) (exp b))
12.0ms	(- a (log (+ (exp a) (exp b))))
8.0ms	(log (+ (exp a) (exp b)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(exp (- a (log (+ (exp a) (exp b)))))
19.0ms	(+ (exp a) (exp b))
38.0ms	(- a (log (+ (exp a) (exp b))))
34.0ms	(log (+ (exp a) (exp b)))

simplify1.5s

Counts

80 → 80

Iterations

Useful iterations: 3 (211.0ms)

Iter	Nodes	Cost
0	107	890
1	234	819
2	480	746
3	934	742
4	2098	742
done	5000	742

prune193.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(+ (exp a) (exp b))
0.5b	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
1.2b	(/ (exp a) (sqrt (+ (exp a) (exp b))))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
304×	`*-un-lft-identity`
224×	`sqrt-prod`
188×	`add-sqr-sqrt` `add-cube-cbrt`
58×	`distribute-lft-out`
30×	`associate-/l*`
20×	`sqrt-div` `associate-/r/`
14×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-cbrt-cube`
10×	`div-inv`
9×	`add-exp-log`
8×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`+-commutative` `frac-2neg` `clear-num` `sum-log`
1×	`associate-/l/`

Counts

4 → 309

Calls

4 calls:

9.0ms	(+ (exp a) (exp b))
11.0ms	(+ (exp a) (exp b))
51.0ms	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
22.0ms	(/ (exp a) (sqrt (+ (exp a) (exp b))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp a) (exp b))
19.0ms	(+ (exp a) (exp b))
34.0ms	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
70.0ms	(/ (exp a) (sqrt (+ (exp a) (exp b))))

simplify1.7s

Counts

321 → 321

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	312	9034
1	692	7765
2	1380	7302
3	3351	7017
done	5000	6873

prune479.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s	3347×	body	10240	exit
190.0ms	8000×	body	80	valid