Details

sample26.0ms

Algorithm

intervals

Results

15.0ms

464×

body

valid

simplify268.0ms

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	3183	4
12	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

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

series56.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* 3 (* y y)) (* x x))
25.0ms	(* 3 (* y y))

simplify73.0ms

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

prune52.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize5.0ms

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:

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

series57.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* (* 3 y) y) (* x x))
25.0ms	(* (* 3 y) y)

simplify122.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (119.0ms)

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

prune43.0ms

Filtered

35 candidates to 22 candidates (62.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	35	4	39

Merged error: 0.0b

Counts

39 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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:

12.0ms	(+ (* (* (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))

series203.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
82.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
46.0ms	(* (cbrt 3) (* y y))

simplify39.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	263	553
1	1076	421
2	5001	365

prune83.0ms

Filtered

71 candidates to 38 candidates (53.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	71	4	75

Merged error: 0.0b

Counts

75 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))
0.3b	(* (sqrt 3) y)
0.3b	(* (sqrt 3) y)
0.3b	(* (* (sqrt 3) y) (* (sqrt 3) y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-r`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`+-commutative` `pow2` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

11.0ms	(+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))
5.0ms	(* (sqrt 3) y)
5.0ms	(* (sqrt 3) y)
9.0ms	(* (* (sqrt 3) y) (* (sqrt 3) y))

series224.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))
38.0ms	(* (sqrt 3) y)
41.0ms	(* (sqrt 3) y)
65.0ms	(* (* (sqrt 3) y) (* (sqrt 3) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	215	450
1	1084	352
2	5002	351

prune116.0ms

Filtered

101 candidates to 53 candidates (52.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	101	4	105

Merged error: 0.0b

Counts

105 → 4

regimes60.0ms

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	9	4
1	9	4

end0.0ms

sample583.0ms

Algorithm

intervals

Results

375.0ms

14046×

body

valid

Details

sample26.0ms

simplify268.0ms

prune4.0ms

localize5.0ms

rewrite11.0ms

series56.0ms

simplify73.0ms

prune52.0ms

localize5.0ms

rewrite10.0ms

series57.0ms

simplify122.0ms

prune43.0ms

localize9.0ms

rewrite33.0ms

series203.0ms

simplify39.0ms

prune83.0ms

localize7.0ms

rewrite32.0ms

series224.0ms

simplify43.0ms

prune116.0ms

regimes60.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample583.0ms

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