Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

439×

body

valid

simplify278.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

8.0ms	(+ (* 3 (* y y)) (* x x))
5.0ms	(* 3 (* y y))

series57.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* 3 (* y y)) (* x x))
25.0ms	(* 3 (* y y))

simplify96.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (18.0ms)

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

prune103.0ms

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

rewrite10.0ms

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:

4.0ms	(+ (* (* 3 y) y) (* x x))
5.0ms	(* (* 3 y) y)

series57.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify128.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (121.0ms)

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

prune61.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b	(* (cbrt 3) (* y y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

11.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
12.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
6.0ms	(* (cbrt 3) (* y y))

series217.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
89.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
48.0ms	(* (cbrt 3) (* y y))

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	263	553
1	1076	421
2	5001	366

prune114.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (cbrt 3)) y)
0.1b	(* (sqrt (cbrt 3)) y)
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y)))
0.3b	(* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

156×	`pow1`
81×	`pow-prod-down`
61×	`add-exp-log`
51×	`add-cbrt-cube`
41×	`prod-exp` `cbrt-unprod`
24×	`add-sqr-sqrt`
20×	`associate-l`
18×	`pow-prod-up`
16×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-plus` `pow-sqr`
8×	`cbrt-prod` `associate-r`
7×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`pow2`
1×	`swap-sqr`

Counts

4 → 144

Calls

4 calls:

6.0ms	(* (sqrt (cbrt 3)) y)
5.0ms	(* (sqrt (cbrt 3)) y)
24.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y)))
9.0ms	(* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y))

series294.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (sqrt (cbrt 3)) y)
75.0ms	(* (sqrt (cbrt 3)) y)
90.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y)))
53.0ms	(* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	292	1039
1	1470	753
2	5001	623

prune208.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes85.0ms

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

sample563.0ms

Algorithm

intervals

Results

334.0ms

14297×

body

valid