Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

484×

body

valid

simplify284.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 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))

rewrite35.0ms

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:

16.0ms	(+ (* 3 (* y y)) (* x x))
18.0ms	(* 3 (* y y))

series62.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* 3 (* y y)) (* x x))
25.0ms	(* 3 (* y y))

simplify74.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (17.0ms)

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

prune56.0ms

Pruning

4 alts after pruning (3 fresh and 1 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)

rewrite36.0ms

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:

16.0ms	(+ (* (* 3 y) y) (* x x))
17.0ms	(* (* 3 y) y)

series59.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (* 3 y) y) (* x x))
25.0ms	(* (* 3 y) y)

simplify123.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (120.0ms)

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

prune55.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite142.0ms

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:

58.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
63.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
18.0ms	(* (cbrt 3) (* y y))

series217.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
90.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
46.0ms	(* (cbrt 3) (* y y))

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	263	558
1	1076	425
2	5001	366

prune112.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))) (* x x))
0.1b	(* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
0.2b	(* (cbrt (cbrt 3)) (* y y))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))

rewrite494.0ms

Algorithm

rewrite-expression-head

Rules

95×	`pow1` `add-exp-log`
69×	`pow-prod-down` `prod-exp` `cbrt-unprod`
49×	`add-cbrt-cube`
12×	`cbrt-prod`
11×	`associate-l`
10×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 118

Calls

4 calls:

191.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))) (* x x))
70.0ms	(* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
21.0ms	(* (cbrt (cbrt 3)) (* y y))
206.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))

series481.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))) (* x x))
55.0ms	(* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y)))
248.0ms	(* (cbrt (cbrt 3)) (* y y))
95.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (cbrt 3)) (cbrt (cbrt 3))) (* (cbrt (cbrt 3)) (* y y))))

simplify70.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	459	1790
1	2024	1190
2	5002	818

prune185.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

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

sample604.0ms

Algorithm

intervals

Results

313.0ms

14287×

body

valid