Details

sample59.0ms

Algorithm

intervals

Results

45.0ms	107×	body	10240	exit
6.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
done	7	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

4.0ms	(+ (exp a) (exp b))
8.0ms	(/ (exp a) (+ (exp a) (exp b)))

series50.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (exp a) (exp b))
33.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify3.0s

Counts

58 → 58

Iterations

Useful iterations: 4 (856.0ms)

Iter	Nodes	Cost
0	82	646
1	183	616
2	501	576
3	1222	575
4	3805	574
done	5000	574

prune128.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
0.5b	(/ (+ (exp a) (exp b)) (exp a))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
96×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
17×	`distribute-lft-out`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `associate-/r/` `inv-pow`

Counts

3 → 142

Calls

3 calls:

4.0ms	(+ (exp a) (exp b))
12.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
13.0ms	(/ (+ (exp a) (exp b)) (exp a))

series83.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (exp a) (exp b))
31.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
33.0ms	(/ (+ (exp a) (exp b)) (exp a))

simplify3.1s

Counts

151 → 151

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	183	2369
1	432	2125
2	1395	1864
3	3271	1831
done	5000	1831

prune239.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (+ (exp a) (exp b)))
0.4b	(/ 1 (sqrt (+ (exp a) (exp b))))
0.5b	(/ (/ 1 (sqrt (+ (exp a) (exp b)))) (/ (sqrt (+ (exp a) (exp b))) (exp a)))
0.5b	(/ (sqrt (+ (exp a) (exp b))) (exp a))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

1851×	`times-frac`
1135×	`*-un-lft-identity`
796×	`add-sqr-sqrt`
793×	`add-cube-cbrt`
684×	`sqrt-prod`
171×	`distribute-lft-out`
58×	`sqrt-div`
57×	`div-inv`
55×	`associate-/r/`
37×	`associate-/l*`
35×	`associate-/r*`
29×	`flip3-+` `flip-+`
27×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
7×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
2×	`sqrt-pow1` `pow1/2`
1×	`rem-sqrt-square` `hypot-def` `inv-pow`

Counts

4 → 872

Calls

4 calls:

7.0ms	(sqrt (+ (exp a) (exp b)))
9.0ms	(/ 1 (sqrt (+ (exp a) (exp b))))
42.0ms	(/ (/ 1 (sqrt (+ (exp a) (exp b)))) (/ (sqrt (+ (exp a) (exp b))) (exp a)))
12.0ms	(/ (sqrt (+ (exp a) (exp b))) (exp a))

series177.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sqrt (+ (exp a) (exp b)))
47.0ms	(/ 1 (sqrt (+ (exp a) (exp b))))
31.0ms	(/ (/ 1 (sqrt (+ (exp a) (exp b)))) (/ (sqrt (+ (exp a) (exp b))) (exp a)))
62.0ms	(/ (sqrt (+ (exp a) (exp b))) (exp a))

simplify996.0ms

Counts

884 → 884

Iterations

Useful iterations: done (950.0ms)

Iter	Nodes	Cost
0	839	32347
1	2551	27851
done	5000	26547

prune927.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.4b

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
done	11	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s	3508×	body	10240	exit
175.0ms	8000×	body	80	valid