Details

sample105.0ms

Algorithm

intervals

Results

72.0ms	230×	body	10240	exit
7.0ms	196×	body	80	valid
4.0ms	21×	body	640	valid
2.0ms	21×	body	320	valid
2.0ms	20×	body	160	valid

simplify785.0ms

Counts: 1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))
5.2b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
118×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
24×	`associate-/l*`
21×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log` `associate-/r*`
9×	`add-log-exp`
7×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
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 → 176

Calls

4 calls:

11.0ms	(/ wj (+ wj 1))
25.0ms	(/ (/ x (+ wj 1)) (exp wj))
19.0ms	(/ x (+ wj 1))
1.4s	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ wj (+ wj 1))
59.0ms	(/ (/ x (+ wj 1)) (exp wj))
27.0ms	(/ x (+ wj 1))
102.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify1.3s

Counts: 188 → 188

prune761.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2 (* wj x))

rewrite42.0ms

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×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

42.0ms

(* 2 (* wj x))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(* 2 (* wj x))

simplify1.5s

Counts: 21 → 21

prune66.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))
5.5b	(- wj (/ wj (+ wj 1)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
115×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
24×	`associate-/l*`
20×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log` `associate-/r*`
7×	`div-inv`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 171

Calls

4 calls:

19.0ms	(/ wj (+ wj 1))
31.0ms	(/ (/ x (+ wj 1)) (exp wj))
21.0ms	(/ x (+ wj 1))
31.0ms	(- wj (/ wj (+ wj 1)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ wj (+ wj 1))
55.0ms	(/ (/ x (+ wj 1)) (exp wj))
29.0ms	(/ x (+ wj 1))
32.0ms	(- wj (/ wj (+ wj 1)))

simplify976.0ms

Counts: 183 → 183

prune650.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow wj 4) (pow wj 2))
0.0b	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
103×	`*-un-lft-identity`
71×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
21×	`associate-/l*`
18×	`distribute-lft-out`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-/r/`
9×	`add-exp-log`
7×	`associate-/r*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp` `difference-of-squares`
2×	`frac-2neg` `diff-log` `clear-num` `sum-log` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `unpow-prod-down` `flip3--` `cube-prod` `associate--l+` `flip--` `associate-/l/` `sqr-pow`

Counts

4 → 155

Calls

4 calls:

28.0ms	(+ (pow wj 4) (pow wj 2))
169.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
26.0ms	(/ (/ x (+ wj 1)) (exp wj))
12.0ms	(/ x (+ wj 1))

series256.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ (pow wj 4) (pow wj 2))
42.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
73.0ms	(/ (/ x (+ wj 1)) (exp wj))
35.0ms	(/ x (+ wj 1))

simplify1.1s

Counts: 167 → 167

prune871.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

regimes96.0ms

Accuracy

-0.3% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.5s

end0.0ms

sample6.5s

Algorithm

intervals

Results

4.7s	7724×	body	10240	exit
559.0ms	771×	body	320	valid
457.0ms	6322×	body	80	valid
164.0ms	459×	body	640	valid
63.0ms	537×	body	160	valid