Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

452×

body

valid

simplify271.0ms

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))

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))

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

prune54.0ms

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

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))
4.0ms	(* (* 3 y) y)

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify126.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (122.0ms)

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

prune46.0ms

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: 0.0b

Counts

40 → 6

localize7.0ms

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))

rewrite18.0ms

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))

series19.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify126.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (121.0ms)

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

prune59.0ms

Filtered

35 candidates to 47 candidates (-34.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	47	6	53

Merged error: 0b

Counts

53 → 6

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) (* (sqrt 3) y))
0.4b	(* (sqrt 3) y)
0.4b	(* (sqrt 3) y)

rewrite26.0ms

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:

8.0ms	(+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))
7.0ms	(* (* (sqrt 3) y) (* (sqrt 3) y))
4.0ms	(* (sqrt 3) y)
4.0ms	(* (sqrt 3) y)

series26.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))
7.0ms	(* (* (sqrt 3) y) (* (sqrt 3) y))
4.0ms	(* (sqrt 3) y)
6.0ms	(* (sqrt 3) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (33.0ms)

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

prune96.0ms

Filtered

53 candidates to 101 candidates (-90.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	101	6	107

Merged error: 0b

Counts

107 → 6

regimes197.0ms

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

sample763.0ms

Algorithm

intervals

Results

396.0ms

14238×

body

valid

Details

sample27.0ms

simplify271.0ms

prune7.0ms

localize5.0ms

rewrite11.0ms

series9.0ms

simplify74.0ms

prune54.0ms

localize7.0ms

rewrite10.0ms

series9.0ms

simplify126.0ms

prune46.0ms

localize7.0ms

rewrite18.0ms

series19.0ms

simplify126.0ms

prune59.0ms

localize7.0ms

rewrite26.0ms

series26.0ms

simplify39.0ms

prune96.0ms

regimes197.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample763.0ms

Profiling