Details

sample122.0ms

Algorithm

intervals

Results

86.0ms	123×	body	10240	exit
14.0ms	256×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

20.0ms	(+ (exp a) (exp b))
39.0ms	(/ (exp a) (+ (exp a) (exp b)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (exp a) (exp b))
66.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.9s

Counts

51 → 51

Iterations

Useful iterations: 3 (597.0ms)

Iter	Nodes	Cost
0	78	616
1	176	587
2	595	550
3	3568	546
done	5000	546

prune183.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

10.0ms	(+ (exp b) (exp a))
24.0ms	(/ (exp a) (+ (exp b) (exp a)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (exp b) (exp a))
49.0ms	(/ (exp a) (+ (exp b) (exp a)))

simplify1.4s

Counts

51 → 51

Iterations

Useful iterations: 3 (487.0ms)

Iter	Nodes	Cost
0	76	616
1	175	587
2	588	548
3	2890	546
done	5000	546

prune203.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
95×	`*-un-lft-identity`
61×	`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`
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 → 133

Calls

3 calls:

18.0ms	(+ (exp b) (exp a))
68.0ms	(/ (+ (exp b) (exp a)) (exp a))
50.0ms	(/ 1 (/ (+ (exp b) (exp a)) (exp a)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (exp b) (exp a))
58.0ms	(/ (+ (exp b) (exp a)) (exp a))
40.0ms	(/ 1 (/ (+ (exp b) (exp a)) (exp a)))

simplify1.5s

Counts

142 → 142

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	174	2317
1	457	2016
2	2810	1869
done	5000	1861

prune343.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (exp b) (exp a)) (exp a))
0.3b	(/ 1 (sqrt (/ (+ (exp b) (exp a)) (exp a))))
0.3b	(/ 1 (sqrt (/ (+ (exp b) (exp a)) (exp a))))
0.4b	(* (/ 1 (sqrt (/ (+ (exp b) (exp a)) (exp a)))) (/ 1 (sqrt (/ (+ (exp b) (exp a)) (exp a)))))

rewrite551.0ms

Algorithm

rewrite-expression-head

Rules

790×	`times-frac`
567×	`*-un-lft-identity`
521×	`add-sqr-sqrt`
418×	`sqrt-prod`
341×	`add-cube-cbrt`
88×	`swap-sqr`
82×	`distribute-lft-out`
62×	`associate-r` `associate-l`
53×	`add-exp-log`
49×	`unswap-sqr`
41×	`associate-/r*`
31×	`pow1`
30×	`pow-flip`
29×	`div-inv`
22×	`add-cbrt-cube`
21×	`div-exp`
16×	`prod-exp`
10×	`rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `associate-/l*` `inv-pow`
9×	`pow-prod-up`
7×	`cbrt-undiv`
6×	`sqrt-div` `associate-/r/`
5×	`pow-prod-down` `pow-sqr`
4×	`cbrt-unprod` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`pow2` `frac-times` `flip3-+` `pow-plus` `associate-r/` `associate-l/` `un-div-inv` `*-commutative` `flip-+`

Counts

4 → 543

Calls

4 calls:

62.0ms	(/ (+ (exp b) (exp a)) (exp a))
31.0ms	(/ 1 (sqrt (/ (+ (exp b) (exp a)) (exp a))))
50.0ms	(/ 1 (sqrt (/ (+ (exp b) (exp a)) (exp a))))
339.0ms	(* (/ 1 (sqrt (/ (+ (exp b) (exp a)) (exp a)))) (/ 1 (sqrt (/ (+ (exp b) (exp a)) (exp a)))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (+ (exp b) (exp a)) (exp a))
122.0ms	(/ 1 (sqrt (/ (+ (exp b) (exp a)) (exp a))))
84.0ms	(/ 1 (sqrt (/ (+ (exp b) (exp a)) (exp a))))
55.0ms	(* (/ 1 (sqrt (/ (+ (exp b) (exp a)) (exp a)))) (/ 1 (sqrt (/ (+ (exp b) (exp a)) (exp a)))))

simplify972.0ms

Counts

555 → 555

Iterations

Useful iterations: done (951.0ms)

Iter	Nodes	Cost
0	440	16063
1	1555	13896
done	5000	12706

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (4.0ms)

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

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.6s	3364×	body	10240	exit
365.0ms	8000×	body	80	valid