Details

sample96.0ms

Algorithm

intervals

Results

64.0ms	99×	body	10240	exit
12.0ms	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: 0.5b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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

series94.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (exp a) (exp b))
58.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.7s

Counts

58 → 58

Iterations

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

prune314.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp b) (exp a))
0.0b	(exp (- a (log (+ (exp b) (exp a)))))
1.5b	(- a (log (+ (exp b) (exp a))))
2.9b	(log (+ (exp b) (exp a)))

rewrite59.0ms

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:

8.0ms	(+ (exp b) (exp a))
15.0ms	(exp (- a (log (+ (exp b) (exp a)))))
14.0ms	(- a (log (+ (exp b) (exp a))))
11.0ms	(log (+ (exp b) (exp a)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (exp b) (exp a))
90.0ms	(exp (- a (log (+ (exp b) (exp a)))))
44.0ms	(- a (log (+ (exp b) (exp a))))
64.0ms	(log (+ (exp b) (exp a)))

simplify929.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	1199
1	322
0	145

prune515.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp b) (exp a))
0.3b	(/ 1 (sqrt (+ (exp b) (exp a))))
0.7b	(/ (exp a) (sqrt (+ (exp b) (exp a))))
0.8b	(* (/ 1 (sqrt (+ (exp b) (exp a)))) (/ (exp a) (sqrt (+ (exp b) (exp a)))))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

111×	`add-sqr-sqrt`
106×	`times-frac`
101×	`*-un-lft-identity`
67×	`sqrt-prod`
65×	`add-cube-cbrt`
27×	`associate-r` `associate-l` `add-exp-log`
20×	`add-cbrt-cube`
15×	`distribute-lft-out` `unswap-sqr`
14×	`associate-/r*`
11×	`div-exp`
8×	`pow1` `sqrt-div` `prod-exp` `associate-/r/`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv`
3×	`rec-exp` `fma-def` `1-exp` `pow-flip`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `+-commutative` `sum-log` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `inv-pow`

Counts

4 → 212

Calls

4 calls:

16.0ms	(+ (exp b) (exp a))
34.0ms	(/ 1 (sqrt (+ (exp b) (exp a))))
34.0ms	(/ (exp a) (sqrt (+ (exp b) (exp a))))
113.0ms	(* (/ 1 (sqrt (+ (exp b) (exp a)))) (/ (exp a) (sqrt (+ (exp b) (exp a)))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp b) (exp a))
81.0ms	(/ 1 (sqrt (+ (exp b) (exp a))))
96.0ms	(/ (exp a) (sqrt (+ (exp b) (exp a))))
60.0ms	(* (/ 1 (sqrt (+ (exp b) (exp a)))) (/ (exp a) (sqrt (+ (exp b) (exp a)))))

simplify2.5s

Counts

224 → 224

Iterations

Iter	Nodes
done	5001
2	4285
1	668
0	239

prune977.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize16.0ms

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

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.4b

regimes208.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.6s	3438×	body	10240	exit
410.0ms	8000×	body	80	valid