Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

438×

body

valid

simplify273.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

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

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 2

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-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))

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* 3 (* y y)) (* x x))
3.0ms	(* 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

prune58.0ms

Filtered

23 candidates to 36 candidates (-56.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

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-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))
6.0ms	(* (* 3 y) y)

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* (* 3 y) y) (* x x))
3.0ms	(* (* 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

prune44.0ms

Filtered

22 candidates to 35 candidates (-59.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Merged error: 0b

Counts

40 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.0b	(+ (* x x) (* y y))
0.1b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

5.0ms	(+ (+ (* x x) (* y y)) (* y y))
3.0ms	(+ (* x x) (* y y))
8.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series18.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (+ (* x x) (* y y)) (* y y))
5.0ms	(+ (* x x) (* y y))
7.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify121.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	218	352
1	1048	312
2	4094	291
3	5002	280

prune58.0ms

Filtered

35 candidates to 47 candidates (-34.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	47	6	53

Merged error: 0b

Counts

53 → 6

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))

rewrite30.0ms

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))

series25.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
9.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
7.0ms	(* (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

prune85.0ms

Filtered

39 candidates to 71 candidates (-82.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	71	6	77

Merged error: 0b

Counts

77 → 6

regimes248.0ms

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

sample713.0ms

Algorithm

intervals

Results

381.0ms

14130×

body

valid

Details

sample24.0ms

simplify273.0ms

prune7.0ms

localize5.0ms

rewrite10.0ms

series9.0ms

simplify79.0ms

prune58.0ms

localize5.0ms

rewrite11.0ms

series9.0ms

simplify122.0ms

prune44.0ms

localize8.0ms

rewrite17.0ms

series18.0ms

simplify121.0ms

prune58.0ms

localize8.0ms

rewrite30.0ms

series25.0ms

simplify40.0ms

prune85.0ms

regimes248.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample713.0ms

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