Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

439×

body

valid

simplify282.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	13	7
1	23	6
2	35	4
3	45	4
4	54	4
5	87	4
6	156	4
7	206	4
8	219	4
9	314	4
10	644	4
11	3197	4
12	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* y y)) (* x x))
0.2b	(* 3 (* y y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

6.0ms	(+ (* 3 (* y y)) (* x x))
6.0ms	(* 3 (* y y))

series59.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* 3 (* y y)) (* x x))
24.0ms	(* 3 (* y y))

simplify77.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	164	163
1	658	146
2	2429	139
3	5003	139

prune63.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 y) y) (* x x))
0.2b	(* (* 3 y) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

6.0ms	(+ (* (* 3 y) y) (* x x))
6.0ms	(* (* 3 y) y)

series58.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (* 3 y) y) (* x x))
26.0ms	(* (* 3 y) y)

simplify125.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	173	161
1	854	144
2	4082	139
3	5001	138

prune59.0ms

Filtered

35 candidates to 21 candidates (60.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow x 2) (* 3 (pow y 2)))
0.2b	(* 3 (pow y 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

6.0ms	(+ (pow x 2) (* 3 (pow y 2)))
8.0ms	(* 3 (pow y 2))

series58.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (pow x 2) (* 3 (pow y 2)))
24.0ms	(* 3 (pow y 2))

simplify149.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	173	188
1	692	169
2	3498	167
3	5002	166

prune86.0ms

Filtered

44 candidates to 28 candidates (63.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (pow y 2))
0.2b	(* (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))))
8.1b	(sqrt (+ (pow x 2) (* 3 (pow y 2))))
8.1b	(sqrt (+ (pow x 2) (* 3 (pow y 2))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`sqrt-div`
14×	`associate-r`
11×	`add-exp-log`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-l`
8×	`flip3-+` `swap-sqr` `add-cbrt-cube` `flip-+` `unswap-sqr`
5×	`pow-prod-up`
4×	`frac-times` `unpow-prod-down` `prod-exp` `add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `sqrt-unprod` `pow-exp` `rem-square-sqrt`

Counts

4 → 114

Calls

4 calls:

6.0ms	(* 3 (pow y 2))
37.0ms	(* (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))))
10.0ms	(sqrt (+ (pow x 2) (* 3 (pow y 2))))
8.0ms	(sqrt (+ (pow x 2) (* 3 (pow y 2))))

series168.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 3 (pow y 2))
40.0ms	(* (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))))
49.0ms	(sqrt (+ (pow x 2) (* 3 (pow y 2))))
54.0ms	(sqrt (+ (pow x 2) (* 3 (pow y 2))))

simplify50.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	254	907
1	1088	814
2	5001	786

prune254.0ms

Filtered

126 candidates to 73 candidates (57.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes64.0ms

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	10	4
1	10	4

end0.0ms

sample536.0ms

Algorithm

intervals

Results

324.0ms

14084×

body

valid