Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

460×

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	3197	4
12	5001	4

prune6.0ms

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: 0.2b

Counts

2 → 1

localize6.0ms

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))

series55.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* 3 (* y y)) (* x x))
23.0ms	(* 3 (* y y))

simplify75.0ms

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

prune53.0ms

Filtered

36 candidates to 23 candidates (63.9%)

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

localize8.0ms

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))
5.0ms	(* (* 3 y) y)

series55.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (* 3 y) y) (* x x))
23.0ms	(* (* 3 y) y)

simplify139.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (136.0ms)

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

prune52.0ms

Filtered

35 candidates to 22 candidates (62.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	33	8	41

Merged error: 0.0b

Counts

41 → 8

localize9.0ms

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))

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:

11.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
14.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
6.0ms	(* (cbrt 3) (* y y))

series204.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
84.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
43.0ms	(* (cbrt 3) (* y y))

simplify38.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	263	553
1	1076	421
2	5001	366

prune98.0ms

Filtered

71 candidates to 38 candidates (53.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	2	3	5
Picked	0	1	1
Done	1	1	2
Total	73	6	79

Merged error: 0.0b

Counts

79 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (sqrt 3)) y)
0.1b	(* (cbrt (sqrt 3)) y)
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
0.4b	(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

156×	`pow1`
81×	`pow-prod-down`
61×	`add-exp-log`
41×	`prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
20×	`associate-l`
18×	`pow-prod-up`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-plus` `pow-sqr`
8×	`associate-r` `sqrt-prod`
7×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`pow2`
1×	`swap-sqr`

Counts

4 → 144

Calls

4 calls:

8.0ms	(* (cbrt (sqrt 3)) y)
5.0ms	(* (cbrt (sqrt 3)) y)
19.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
8.0ms	(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (cbrt (sqrt 3)) y)
278.0ms	(* (cbrt (sqrt 3)) y)
353.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
282.0ms	(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	310	1140
1	1569	844
2	5001	761

prune244.0ms

Filtered

156 candidates to 79 candidates (50.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	156	6	162

Merged error: 0.0b

Counts

162 → 6

regimes95.0ms

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

sample561.0ms

Algorithm

intervals

Results

336.0ms

14310×

body

valid

Details

sample20.0ms

simplify268.0ms

prune6.0ms

localize6.0ms

rewrite11.0ms

series55.0ms

simplify75.0ms

prune53.0ms

localize8.0ms

rewrite10.0ms

series55.0ms

simplify139.0ms

prune52.0ms

localize9.0ms

rewrite33.0ms

series204.0ms

simplify38.0ms

prune98.0ms

localize11.0ms

rewrite46.0ms

series1.2s

simplify60.0ms

prune244.0ms

regimes95.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample561.0ms

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