Details

sample84.0ms

Algorithm

intervals

Results

57.0ms	88×	body	10240	exit
14.0ms	256×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(/ (exp a) (+ (exp a) (exp b)))

rewrite50.0ms

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-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

19.0ms	(+ (exp a) (exp b))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (exp a) (exp b))
57.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify870.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	2002
4	2002
3	1039
2	503
1	186
0	84

prune214.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.3b	(- a (log (+ (exp a) (exp b))))
2.2b	(log (+ (exp a) (exp b)))

rewrite53.0ms

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-+` `insert-posit16` `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 → 110

Calls

4 calls:

13.0ms	(exp (- a (log (+ (exp a) (exp b)))))
14.0ms	(+ (exp a) (exp b))
18.0ms	(- a (log (+ (exp a) (exp b))))
7.0ms	(log (+ (exp a) (exp b)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(exp (- a (log (+ (exp a) (exp b)))))
20.0ms	(+ (exp a) (exp b))
40.0ms	(- a (log (+ (exp a) (exp b))))
46.0ms	(log (+ (exp a) (exp b)))

simplify666.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	2000
3	2000
2	820
1	332
0	153

prune474.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(pow E (- a (log (+ (exp a) (exp b)))))
0.3b	(- a (log (+ (exp a) (exp b))))
2.2b	(log (+ (exp a) (exp b)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
24×	`prod-diff` `add-cube-cbrt`
16×	`unpow-prod-up`
14×	`pow1`
9×	`log-pow`
8×	`log-prod`
7×	`add-log-exp`
6×	`log-div` `pow-unpow` `add-exp-log`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`unpow-prod-down` `fma-def` `fma-neg` `distribute-lft-out`
2×	`sub-neg` `pow-exp` `difference-of-squares`
1×	`pow-to-exp` `+-commutative` `e-exp-1` `sum-log` `pow-pow` `flip3--` `diff-log` `rem-log-exp` `flip--` `pow-sub` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

17.0ms	(+ (exp a) (exp b))
12.0ms	(pow E (- a (log (+ (exp a) (exp b)))))
27.0ms	(- a (log (+ (exp a) (exp b))))
13.0ms	(log (+ (exp a) (exp b)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (exp a) (exp b))
51.0ms	(pow E (- a (log (+ (exp a) (exp b)))))
55.0ms	(- a (log (+ (exp a) (exp b))))
58.0ms	(log (+ (exp a) (exp b)))

simplify1.1s

Counts

128 → 128

Iterations

Iter	Nodes
done	2016
3	2016
2	1098
1	442
0	170

prune453.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.8s	3426×	body	10240	exit
942.0ms	8000×	body	80	valid