Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	116×	body	80	overflowed

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 1.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

5.0ms	(+ (exp a) (exp b))
8.0ms	(/ (exp a) (+ (exp a) (exp b)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (exp a) (exp b))
13.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify808.0ms

Counts

51 → 51

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	78	616
1	175	590
2	439	550
3	901	546
4	2297	546
done	5000	546

prune50.0ms

Filtered

37 candidates to 51 candidates (-37.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 0.7b

Counts

52 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.3b	(- a (log (+ (exp a) (exp b))))
4.3b	(log (+ (exp a) (exp b)))

rewrite29.0ms

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:

5.0ms	(+ (exp a) (exp b))
6.0ms	(exp (- a (log (+ (exp a) (exp b)))))
11.0ms	(- a (log (+ (exp a) (exp b))))
5.0ms	(log (+ (exp a) (exp b)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (exp a) (exp b))
13.0ms	(exp (- a (log (+ (exp a) (exp b)))))
10.0ms	(- a (log (+ (exp a) (exp b))))
11.0ms	(log (+ (exp a) (exp b)))

simplify1.2s

Counts

80 → 80

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	107	890
1	237	821
2	503	748
3	1123	742
4	2917	742
done	5000	742

prune82.0ms

Filtered

55 candidates to 80 candidates (-45.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	80	4	84

Merged error: 0.7b

Counts

84 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (exp a) (+ a (+ b 2)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 37

Calls

1 calls:

8.0ms

(/ (exp a) (+ a (+ b 2)))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(/ (exp a) (+ a (+ b 2)))

simplify1.5s

Counts

40 → 40

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	68	520
1	151	495
2	431	465
3	1237	460
4	4884	460
done	5000	460

prune46.0ms

Filtered

26 candidates to 40 candidates (-53.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	40	4	44

Merged error: 0.7b

Counts

44 → 4

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0.7b

Counts

4 → 4

regimes199.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample661.0ms

Algorithm

intervals

Results

222.0ms	8000×	body	80	valid
95.0ms	3556×	body	80	overflowed

Details

sample28.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series19.0ms

simplify808.0ms

prune50.0ms

localize9.0ms

rewrite29.0ms

series40.0ms

simplify1.2s

prune82.0ms

localize6.0ms

rewrite10.0ms

series15.0ms

simplify1.5s

prune46.0ms

localize5.0ms

rewrite0.0ms

series0.0ms

simplify1.0ms

prune0.0ms

regimes199.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample661.0ms

Profiling