Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

470×

body

valid

simplify306.0ms

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

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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))

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))

simplify71.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (16.0ms)

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

prune50.0ms

Filtered

23 candidates to 36 candidates (-56.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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)

series10.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* (* 3 y) y) (* x x))
3.0ms	(* (* 3 y) y)

simplify118.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (115.0ms)

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

prune39.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	35	6	41

Merged error: 0.0b

Counts

41 → 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))

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)))
8.0ms	(* (cbrt 3) (* y y))

series23.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
8.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
4.0ms	(* (cbrt 3) (* y y))

simplify37.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (31.0ms)

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

prune89.0ms

Filtered

37 candidates to 71 candidates (-91.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))
0.1b	(* (* (cbrt 3) y) y)
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))
0.4b	(* (cbrt 3) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
7×	`associate-r`
6×	`add-log-exp`
4×	`cbrt-prod`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 79

Calls

4 calls:

10.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))
5.0ms	(* (* (cbrt 3) y) y)
10.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))
4.0ms	(* (cbrt 3) y)

series28.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))
6.0ms	(* (* (cbrt 3) y) y)
8.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))
4.0ms	(* (cbrt 3) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	304	633
1	1584	536
2	5002	433

prune170.0ms

Filtered

49 candidates to 91 candidates (-85.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	90	7	97

Merged error: 0b

Counts

97 → 7

regimes233.0ms

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

sample707.0ms

Algorithm

intervals

Results

374.0ms

14186×

body

valid

Details

sample26.0ms

simplify306.0ms

prune5.0ms

localize5.0ms

rewrite10.0ms

series9.0ms

simplify71.0ms

prune50.0ms

localize5.0ms

rewrite9.0ms

series10.0ms

simplify118.0ms

prune39.0ms

localize8.0ms

rewrite31.0ms

series23.0ms

simplify37.0ms

prune89.0ms

localize8.0ms

rewrite31.0ms

series28.0ms

simplify49.0ms

prune170.0ms

regimes233.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample707.0ms

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