Details

sample21.0ms

Algorithm

intervals

Results

14.0ms

327×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	16	3
2	20	3
3	21	3
4	21	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/l*` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

8.0ms

(/ (- (* x x) 3.0) 6.0)

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(/ (- (* x x) 3.0) 6.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	175	222
1	562	208
2	2219	208
3	5001	208

prune69.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 0.16666666666666666 (pow x 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

6.0ms

(* 0.16666666666666666 (pow x 2))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* 0.16666666666666666 (pow x 2))

simplify71.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	107	102
1	404	87
2	1988	87
3	5002	86

prune46.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (sqrt 3.0))
0.0b	(- x (sqrt 3.0))
0.1b	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.6b	(/ 6.0 (- x (sqrt 3.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
182×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
40×	`difference-of-squares`
30×	`associate-/r*`
26×	`distribute-lft-out`
20×	`sqrt-prod` `distribute-lft-out--`
13×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`flip3--` `flip--` `div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 209

Calls

4 calls:

3.0ms	(+ x (sqrt 3.0))
3.0ms	(- x (sqrt 3.0))
23.0ms	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
7.0ms	(/ 6.0 (- x (sqrt 3.0)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (sqrt 3.0))
42.0ms	(- x (sqrt 3.0))
170.0ms	(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
71.0ms	(/ 6.0 (- x (sqrt 3.0)))

simplify80.0ms

Algorithm

egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	579	2326
1	2898	2165
2	5002	2148

prune348.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 6.0 (- (pow x 2) 3.0))
0.1b	(/ 1 (/ 6.0 (- (pow x 2) 3.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
190×	`add-sqr-sqrt`
126×	`*-un-lft-identity`
94×	`add-cube-cbrt`
64×	`difference-of-squares`
38×	`associate-/r*`
16×	`unpow-prod-down` `distribute-lft-out--` `unpow2` `sqr-pow`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 193

Calls

2 calls:

14.0ms	(/ 6.0 (- (pow x 2) 3.0))
17.0ms	(/ 1 (/ 6.0 (- (pow x 2) 3.0)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ 6.0 (- (pow x 2) 3.0))
71.0ms	(/ 1 (/ 6.0 (- (pow x 2) 3.0)))

simplify76.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	671	1851
1	3409	1563
2	5002	1410

prune227.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3

end0.0ms

sample597.0ms

Algorithm

intervals

Results

475.0ms

10585×

body

valid