Details

sample123.0ms

Algorithm

intervals

Results

89.0ms	278×	body	10240	exit
8.0ms	204×	body	80	valid
3.0ms	17×	body	640	valid
3.0ms	26×	body	320	valid
1.0ms	11×	body	160	valid

simplify39.0ms

Counts: 1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
3.4b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite572.0ms

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	(/ x (+ wj 1))
11.0ms	(/ wj (+ wj 1))
24.0ms	(/ (/ x (+ wj 1)) (exp wj))
517.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ x (+ wj 1))
28.0ms	(/ wj (+ wj 1))
45.0ms	(/ (/ x (+ wj 1)) (exp wj))
68.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify74.0ms

Counts: 188 → 188

prune474.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `associate--l+` `*-commutative` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 44

Calls

3 calls:

81.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
9.0ms	(+ x (pow wj 2))
17.0ms	(* 2 (* wj x))

series92.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
32.0ms	(+ x (pow wj 2))
22.0ms	(* 2 (* wj x))

simplify126.0ms

Counts: 53 → 53

prune104.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
2.6b	(- wj (/ wj (+ wj 1)))

rewrite79.0ms

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:

11.0ms	(/ x (+ wj 1))
15.0ms	(/ wj (+ wj 1))
24.0ms	(/ (/ x (+ wj 1)) (exp wj))
21.0ms	(- wj (/ wj (+ wj 1)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ x (+ wj 1))
22.0ms	(/ wj (+ wj 1))
51.0ms	(/ (/ x (+ wj 1)) (exp wj))
28.0ms	(- wj (/ wj (+ wj 1)))

simplify64.0ms

Counts: 183 → 183

prune468.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 165

Calls

4 calls:

11.0ms	(/ x (+ wj 1))
283.0ms	(+ (/ (/ x (+ wj 1)) (exp wj)) (- (+ (pow wj 4) (pow wj 2)) (pow wj 3)))
25.0ms	(/ (/ x (+ wj 1)) (exp wj))
127.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))

series200.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ x (+ wj 1))
94.0ms	(+ (/ (/ x (+ wj 1)) (exp wj)) (- (+ (pow wj 4) (pow wj 2)) (pow wj 3)))
51.0ms	(/ (/ x (+ wj 1)) (exp wj))
29.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))

simplify75.0ms

Counts: 177 → 177

prune589.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.6s

Algorithm

intervals

Results

3.2s	7818×	body	10240	exit
388.0ms	447×	body	640	valid
372.0ms	6361×	body	80	valid
119.0ms	747×	body	320	valid
48.0ms	533×	body	160	valid