Details

sample68.0ms

Algorithm

intervals

Results

41.0ms	248×	body	10240	exit
5.0ms	194×	body	80	valid
2.0ms	30×	body	320	valid
2.0ms	13×	body	640	valid
1.0ms	23×	body	160	valid

simplify48.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	21	9
1	52	9
2	113	9
3	240	8
4	1625	8
5	5001	8
done	5001	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ x (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
6.3b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite651.0ms

Algorithm

rewrite-expression-head

Rules

231×	`*-un-lft-identity`
175×	`times-frac`
129×	`add-sqr-sqrt`
124×	`add-cube-cbrt`
72×	`prod-diff`
52×	`distribute-lft-out`
24×	`associate-/l*`
20×	`associate-/r/`
13×	`add-cbrt-cube`
11×	`add-exp-log` `flip3-+` `associate-/r*` `flip-+` `div-inv`
9×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`frac-2neg` `clear-num`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate-/l/`

Counts

4 → 260

Calls

4 calls:

11.0ms	(/ wj (+ wj 1))
11.0ms	(/ x (+ wj 1))
24.0ms	(/ (/ x (+ wj 1)) (exp wj))
589.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series153.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ wj (+ wj 1))
24.0ms	(/ x (+ wj 1))
47.0ms	(/ (/ x (+ wj 1)) (exp wj))
59.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify121.0ms

Counts

272 → 272

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	1015	4090
1	4555	3249
2	5001	3243
done	5001	3243

prune528.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* wj x))
0.0b	(+ x (pow wj 2))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`fma-def` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 37

Calls

2 calls:

16.0ms	(* 2 (* wj x))
9.0ms	(+ x (pow wj 2))

series54.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* 2 (* wj x))
34.0ms	(+ x (pow wj 2))

simplify67.0ms

Counts

43 → 43

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	156	135
1	574	114
2	2444	114
3	5001	112
done	5001	112

prune98.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2 (* wj x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

16.0ms

(* 2 (* wj x))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 2 (* wj x))

simplify80.0ms

Counts

23 → 23

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	88	72
1	320	62
2	1237	62
3	3448	62
4	5001	62
done	5001	62

prune51.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
0.6b	(cbrt (+ x (pow wj 2)))
0.6b	(cbrt (+ x (pow wj 2)))
0.6b	(cbrt (+ x (pow wj 2)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

64.0ms	(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
7.0ms	(cbrt (+ x (pow wj 2)))
7.0ms	(cbrt (+ x (pow wj 2)))
10.0ms	(cbrt (+ x (pow wj 2)))

series1.3s

Counts

4 → 12

Calls

4 calls:

284.0ms	(* (cbrt (+ x (pow wj 2))) (cbrt (+ x (pow wj 2))))
331.0ms	(cbrt (+ x (pow wj 2)))
327.0ms	(cbrt (+ x (pow wj 2)))
327.0ms	(cbrt (+ x (pow wj 2)))

simplify173.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	259	918
1	988	867
2	4915	790
3	5001	790
done	5001	790

prune293.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes66.0ms

Accuracy

62.1% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 2.2b

bsearch30.0ms

Steps

Iters	Range		Point
8	2.925089333066609e-14	7.704108445868586e-11	7.575706194898737e-11

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	13
1	28	13
2	28	13
done	28	13

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.4s	7758×	body	10240	exit
191.0ms	6302×	body	80	valid
77.0ms	796×	body	320	valid
65.0ms	471×	body	640	valid
31.0ms	525×	body	160	valid