Details

sample71.0ms

Algorithm

intervals

Results

43.0ms	248×	body	10240	exit
6.0ms	204×	body	80	valid
3.0ms	21×	body	640	valid
2.0ms	21×	body	320	valid
1.0ms	15×	body	160	valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5001	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
4.1b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite576.0ms

Algorithm

rewrite-expression-head

Rules

115×	`times-frac`
100×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
21×	`associate-/l*`
17×	`distribute-lft-out`
10×	`associate-/r/` `add-cbrt-cube`
8×	`add-exp-log` `add-log-exp`
7×	`associate-/r*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate-/l/`

Counts

3 → 143

Calls

3 calls:

12.0ms	(/ x (+ wj 1))
25.0ms	(/ (/ x (+ wj 1)) (exp wj))
532.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ x (+ wj 1))
50.0ms	(/ (/ x (+ wj 1)) (exp wj))
61.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify69.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	656	1364
1	2971	1315
2	5001	1313

prune370.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

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:

9.0ms	(+ x (pow wj 2))
80.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
16.0ms	(* 2 (* wj x))

series87.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ x (pow wj 2))
32.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
24.0ms	(* 2 (* wj x))

simplify128.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	202	247
1	793	231
2	4232	228
3	5001	228

prune105.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
6.2b	(- wj (/ wj (+ wj 1)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

115×	`times-frac`
97×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
21×	`associate-/l*`
16×	`distribute-lft-out`
10×	`associate-/r/` `add-cbrt-cube`
8×	`add-exp-log`
7×	`associate-/r*`
6×	`div-inv`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

3 → 138

Calls

3 calls:

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

series101.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ x (+ wj 1))
45.0ms	(/ (/ x (+ wj 1)) (exp wj))
31.0ms	(- wj (/ wj (+ wj 1)))

simplify60.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	570	1161
1	2526	1113
2	5002	1111

prune362.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite190.0ms

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:

126.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
17.0ms	(+ (pow wj 4) (pow wj 2))
14.0ms	(/ x (+ wj 1))
24.0ms	(/ (/ x (+ wj 1)) (exp wj))

series179.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
76.0ms	(+ (pow wj 4) (pow wj 2))
30.0ms	(/ x (+ wj 1))
45.0ms	(/ (/ x (+ wj 1)) (exp wj))

simplify69.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	637	1315
1	2872	1259
2	5001	1257

prune518.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes60.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	21
1	25	21

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s	7609×	body	10240	exit
204.0ms	6316×	body	80	valid
76.0ms	791×	body	320	valid
67.0ms	450×	body	640	valid
35.0ms	525×	body	160	valid