Details

sample70.0ms

Algorithm

intervals

Results

45.0ms	250×	body	10240	exit
6.0ms	207×	body	80	valid
2.0ms	27×	body	320	valid
2.0ms	12×	body	640	valid
1.0ms	12×	body	160	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.8b

localize9.0ms

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))
4.2b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite512.0ms

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:

10.0ms	(/ wj (+ wj 1))
10.0ms	(/ x (+ wj 1))
22.0ms	(/ (/ x (+ wj 1)) (exp wj))
461.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ wj (+ wj 1))
20.0ms	(/ x (+ wj 1))
36.0ms	(/ (/ x (+ wj 1)) (exp wj))
53.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify80.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5001	1469

prune410.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2 (* wj x))

rewrite16.0ms

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:

15.0ms

(* 2 (* wj x))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(* 2 (* wj x))

simplify79.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	86	66
1	318	56
2	1235	56
3	3444	56
4	5001	56

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

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	(- wj (/ wj (+ wj 1)))

rewrite71.0ms

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:

10.0ms	(/ wj (+ wj 1))
10.0ms	(/ x (+ wj 1))
24.0ms	(/ (/ x (+ wj 1)) (exp wj))
20.0ms	(- wj (/ wj (+ wj 1)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ wj (+ wj 1))
20.0ms	(/ x (+ wj 1))
37.0ms	(/ (/ x (+ wj 1)) (exp wj))
26.0ms	(- wj (/ wj (+ wj 1)))

simplify72.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	634	1321
1	2844	1269
2	5001	1267

prune394.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite165.0ms

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:

16.0ms	(+ (pow wj 4) (pow wj 2))
10.0ms	(/ x (+ wj 1))
22.0ms	(/ (/ x (+ wj 1)) (exp wj))
111.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))

series146.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (pow wj 4) (pow wj 2))
24.0ms	(/ x (+ wj 1))
37.0ms	(/ (/ x (+ wj 1)) (exp wj))
24.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))

simplify74.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	637	1315
1	2874	1259
2	5001	1257

prune489.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

81.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.1b

bsearch38.0ms

Steps

Iters	Range		Point
9	2.0513987020488157e-07	108.91027781997802	9.293516541346028e-05

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	21
1	35	21

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s	7529×	body	10240	exit
182.0ms	6275×	body	80	valid
68.0ms	787×	body	320	valid
62.0ms	450×	body	640	valid
35.0ms	554×	body	160	valid