Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

468×

body

valid

simplify298.0ms

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))

series60.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* 3 (* y y)) (* x x))
27.0ms	(* 3 (* y y))

simplify79.0ms

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

prune94.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:

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

series77.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (* 3 y) y) (* x x))
45.0ms	(* (* 3 y) y)

simplify131.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (127.0ms)

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

prune49.0ms

Filtered

35 candidates to 22 candidates (62.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize8.0ms

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)))
0.2b	(* (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))
11.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
6.0ms	(* (cbrt 3) (* y y))

series217.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (* (* (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))

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

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

prune269.0ms

Filtered

71 candidates to 38 candidates (53.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	70	6	76

Merged error: 0.0b

Counts

76 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
25×	`add-cbrt-cube`
19×	`associate-l`
14×	`cbrt-prod`
13×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 99

Calls

4 calls:

15.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* y y)))) (* x x))
16.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* y y))))
10.0ms	(* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* y y)))
7.0ms	(* (cbrt (sqrt 3)) (* y y))

series1.2s

Counts

4 → 12

Calls

4 calls:

290.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* y y)))) (* x x))
360.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* y y))))
279.0ms	(* (cbrt (sqrt 3)) (* (cbrt (sqrt 3)) (* y y)))
243.0ms	(* (cbrt (sqrt 3)) (* y y))

simplify75.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	372	1148
1	1733	894
2	5001	745

prune185.0ms

Filtered

111 candidates to 60 candidates (54.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	111	6	117

Merged error: 0.0b

Counts

117 → 6

regimes107.0ms

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

sample594.0ms

Algorithm

intervals

Results

379.0ms

14336×

body

valid

Details

sample22.0ms

simplify298.0ms

prune4.0ms

localize5.0ms

rewrite11.0ms

series60.0ms

simplify79.0ms

prune94.0ms

localize10.0ms

rewrite17.0ms

series77.0ms

simplify131.0ms

prune49.0ms

localize8.0ms

rewrite31.0ms

series217.0ms

simplify40.0ms

prune269.0ms

localize12.0ms

rewrite52.0ms

series1.2s

simplify75.0ms

prune185.0ms

regimes107.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample594.0ms

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