Details

sample101.0ms

Algorithm

intervals

Results

70.0ms	131×	body	10240	exit
11.0ms	256×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

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:

19.0ms	(+ (exp a) (exp b))
63.0ms	(/ (exp a) (+ (exp a) (exp b)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp a) (exp b))
42.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.1s

Counts

51 → 51

Iterations

Useful iterations: 3 (218.0ms)

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

prune135.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize12.0ms

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))))
4.0b	(log (+ (exp a) (exp b)))

rewrite89.0ms

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:

27.0ms	(exp (- a (log (+ (exp a) (exp b)))))
20.0ms	(+ (exp a) (exp b))
27.0ms	(- a (log (+ (exp a) (exp b))))
11.0ms	(log (+ (exp a) (exp b)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(exp (- a (log (+ (exp a) (exp b)))))
24.0ms	(+ (exp a) (exp b))
57.0ms	(- a (log (+ (exp a) (exp b))))
59.0ms	(log (+ (exp a) (exp b)))

simplify2.0s

Counts

80 → 80

Iterations

Useful iterations: 3 (345.0ms)

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

prune354.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp b) (exp a))
0.0b	(/ 1 (/ (+ (exp b) (exp a)) (exp a)))
0.9b	(/ (+ (exp b) (exp a)) (exp a))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
95×	`*-un-lft-identity`
61×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
17×	`distribute-lft-out`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `associate-/r/` `inv-pow`

Counts

3 → 133

Calls

3 calls:

17.0ms	(+ (exp b) (exp a))
44.0ms	(/ 1 (/ (+ (exp b) (exp a)) (exp a)))
40.0ms	(/ (+ (exp b) (exp a)) (exp a))

series137.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (exp b) (exp a))
47.0ms	(/ 1 (/ (+ (exp b) (exp a)) (exp a)))
66.0ms	(/ (+ (exp b) (exp a)) (exp a))

simplify6.3s

Counts

142 → 142

Iterations

Useful iterations: 4 (4.8s)

Iter	Nodes	Cost
0	174	2317
1	390	2016
2	858	1819
3	2009	1786
4	4883	1713
done	5001	1713

prune396.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1 (exp (- b a)))
0.0b	(/ 1 (+ 1 (exp (- b a))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

28.0ms	(+ 1 (exp (- b a)))
50.0ms	(/ 1 (+ 1 (exp (- b a))))

series71.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ 1 (exp (- b a)))
43.0ms	(/ 1 (+ 1 (exp (- b a))))

simplify3.7s

Counts

55 → 55

Iterations

Useful iterations: 3 (262.0ms)

Iter	Nodes	Cost
0	76	656
1	160	574
2	321	529
3	757	527
4	2075	527
done	5000	527

prune85.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
done	10	8

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.6s	3442×	body	10240	exit
463.0ms	8000×	body	80	valid