Details

sample140.0ms

Algorithm

intervals

Results

106.0ms	118×	body	10240	exit
20.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:

29.0ms	(+ (exp a) (exp b))
16.0ms	(/ (exp a) (+ (exp a) (exp b)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (exp a) (exp b))
54.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.2s

Counts

60 → 60

Iterations

Iter	Nodes
4	2640
3	1109
2	494
1	184
0	84

prune269.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

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))))
3.3b	(log (+ (exp a) (exp b)))

rewrite55.0ms

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:

24.0ms	(exp (- a (log (+ (exp a) (exp b)))))
9.0ms	(+ (exp a) (exp b))
11.0ms	(- a (log (+ (exp a) (exp b))))
8.0ms	(log (+ (exp a) (exp b)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(exp (- a (log (+ (exp a) (exp b)))))
35.0ms	(+ (exp a) (exp b))
59.0ms	(- a (log (+ (exp a) (exp b))))
63.0ms	(log (+ (exp a) (exp b)))

simplify1.1s

Counts

122 → 122

Iterations

Iter	Nodes
3	2373
2	795
1	331
0	153

prune512.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(exp (- (* 1/2 (- a b)) (log 2)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

28×	`exp-sum`
22×	`prod-diff` `associate--l+`
15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
3×	`exp-prod` `sub-neg` `add-log-exp`
2×	`pow1` `rem-exp-log`
1×	`expm1-log1p-u` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `log-pow` `insert-posit16` `log1p-expm1-u`

Counts

1 → 44

Calls

1 calls:

63.0ms

(exp (- (* 1/2 (- a b)) (log 2)))

series84.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(exp (- (* 1/2 (- a b)) (log 2)))

simplify2.0s

Counts

47 → 47

Iterations

Iter	Nodes
4	3119
3	1327
2	637
1	322
0	157

prune100.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize19.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes156.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.9s	3455×	body	10240	exit
1.1s	8000×	body	80	valid