Details

sample128.0ms

Algorithm

intervals

Results

99.0ms	108×	body	10240	exit
14.0ms	256×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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:

22.0ms	(+ (exp a) (exp b))
41.0ms	(/ (exp a) (+ (exp a) (exp b)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp a) (exp b))
74.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify3.5s

Counts

60 → 60

Iterations

Iter	Nodes
done	5030
4	2517
3	1039
2	503
1	186
0	84

prune278.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.5b	(- a (log (+ (exp a) (exp b))))
2.2b	(log (+ (exp a) (exp b)))

rewrite80.0ms

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:

16.0ms	(+ (exp a) (exp b))
29.0ms	(exp (- a (log (+ (exp a) (exp b)))))
17.0ms	(- a (log (+ (exp a) (exp b))))
16.0ms	(log (+ (exp a) (exp b)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp a) (exp b))
66.0ms	(exp (- a (log (+ (exp a) (exp b)))))
65.0ms	(- a (log (+ (exp a) (exp b))))
46.0ms	(log (+ (exp a) (exp b)))

simplify1.9s

Counts

122 → 122

Iterations

Iter	Nodes
done	5031
3	2546
2	818
1	332
0	153

prune534.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp a) (exp b)))
0.0b	(sqrt (+ (exp a) (exp b)))
0.7b	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
1.1b	(/ (exp a) (sqrt (+ (exp a) (exp b))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
306×	`*-un-lft-identity`
232×	`sqrt-prod`
196×	`add-sqr-sqrt`
190×	`add-cube-cbrt`
58×	`distribute-lft-out`
30×	`associate-/l*`
24×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-cbrt-cube`
10×	`div-inv`
9×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `hypot-def`
1×	`associate-/l/`

Counts

4 → 331

Calls

4 calls:

28.0ms	(sqrt (+ (exp a) (exp b)))
20.0ms	(sqrt (+ (exp a) (exp b)))
71.0ms	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
24.0ms	(/ (exp a) (sqrt (+ (exp a) (exp b))))

series257.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sqrt (+ (exp a) (exp b)))
40.0ms	(sqrt (+ (exp a) (exp b)))
55.0ms	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
111.0ms	(/ (exp a) (sqrt (+ (exp a) (exp b))))

simplify1.6s

Counts

343 → 343

Iterations

Iter	Nodes
done	5001
2	1543
1	722
0	322

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

44×	`prod-diff` `associate--l+`
30×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
28×	`exp-sum`
22×	`distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg`
5×	`add-log-exp`
4×	`pow1`
3×	`log-prod` `exp-prod` `associate--r+`
2×	`expm1-log1p-u` `add-cbrt-cube` `diff-log` `add-exp-log` `log-pow` `insert-posit16` `log1p-expm1-u` `rem-exp-log`
1×	`flip3--` `exp-diff` `fma-neg` `flip--`

Counts

2 → 89

Calls

2 calls:

19.0ms	(- (* 1/2 (- a b)) (log 2))
59.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (* 1/2 (- a b)) (log 2))
63.0ms	(exp (- (* 1/2 (- a b)) (log 2)))

simplify2.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	5013
3	2357
2	954
1	416
0	184

prune338.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes162.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.9s	3508×	body	10240	exit
417.0ms	8000×	body	80	valid