Details

sample93.0ms

Algorithm

intervals

Results

68.0ms	113×	body	10240	exit
11.0ms	256×	body	80	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.7b	(/ (exp a) (+ (exp a) (exp b)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

13.0ms	(+ (exp a) (exp b))
23.0ms	(/ (exp a) (+ (exp a) (exp b)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp a) (exp b))
69.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.8s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	3653
2	626
1	184
0	82

prune375.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.5b	(- a (log (+ (exp a) (exp b))))
2.5b	(log (+ (exp a) (exp b)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
24×	`prod-diff`
23×	`add-cube-cbrt`
16×	`exp-sum`
13×	`pow1`
9×	`log-pow` `add-log-exp`
8×	`log-prod`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`fma-def` `fma-neg` `distribute-lft-out`
2×	`sub-neg` `diff-log` `difference-of-squares` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3--` `exp-diff` `rem-log-exp` `flip--`

Counts

4 → 106

Calls

4 calls:

16.0ms	(exp (- a (log (+ (exp a) (exp b)))))
8.0ms	(+ (exp a) (exp b))
15.0ms	(- a (log (+ (exp a) (exp b))))
9.0ms	(log (+ (exp a) (exp b)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(exp (- a (log (+ (exp a) (exp b)))))
36.0ms	(+ (exp a) (exp b))
64.0ms	(- a (log (+ (exp a) (exp b))))
44.0ms	(log (+ (exp a) (exp b)))

simplify1.5s

Counts

118 → 118

Iterations

Iter	Nodes
done	5002
2	1235
1	328
0	149

prune535.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.7b	(/ (exp a) (+ (exp a) (exp b)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

8.0ms	(+ (exp a) (exp b))
25.0ms	(/ (exp a) (+ (exp a) (exp b)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (exp a) (exp b))
37.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.9s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	3653
2	626
1	184
0	82

prune243.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.4b

regimes180.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.4s	3459×	body	10240	exit
404.0ms	8000×	body	80	valid