Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

467×

body

valid

simplify281.0ms

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

prune11.0ms

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

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))

series57.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* 3 (* y y)) (* x x))
24.0ms	(* 3 (* y y))

simplify81.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (20.0ms)

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

prune105.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Merged error: 0.0b

Counts

37 → 7

localize6.0ms

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:

5.0ms	(+ (* (* 3 y) y) (* x x))
5.0ms	(* (* 3 y) y)

series59.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (* 3 y) y) (* x x))
26.0ms	(* (* 3 y) y)

simplify127.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (123.0ms)

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

prune89.0ms

Filtered

35 candidates to 21 candidates (60.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	35	7	42

Merged error: 0.0b

Counts

42 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3 (* y y))
0.3b	(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
18.4b	(sqrt (* 3 (* y y)))
18.4b	(sqrt (* 3 (* y y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 109

Calls

4 calls:

5.0ms	(* 3 (* y y))
13.0ms	(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
4.0ms	(sqrt (* 3 (* y y)))
5.0ms	(sqrt (* 3 (* y y)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 3 (* y y))
68.0ms	(* (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))))
33.0ms	(sqrt (* 3 (* y y)))
33.0ms	(sqrt (* 3 (* y y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	169	344
1	783	285
2	5001	269

prune221.0ms

Filtered

121 candidates to 54 candidates (44.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	3	1	4
Picked	1	0	1
Done	0	2	2
Total	122	6	128

Merged error: 0b

Counts

128 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
0.3b	(* (sqrt 3) (* y y))
0.3b	(* (sqrt 3) (* (sqrt 3) (* y y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-l`
9×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
5×	`add-log-exp`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 58

Calls

3 calls:

9.0ms	(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
6.0ms	(* (sqrt 3) (* y y))
10.0ms	(* (sqrt 3) (* (sqrt 3) (* y y)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
43.0ms	(* (sqrt 3) (* y y))
70.0ms	(* (sqrt 3) (* (sqrt 3) (* y y)))

simplify157.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (152.0ms)

Iter	Nodes	Cost
0	233	391
1	994	310
2	4280	302
3	5001	298

prune153.0ms

Filtered

67 candidates to 40 candidates (59.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	67	6	73

Merged error: 0b

Counts

73 → 6

regimes229.0ms

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

sample727.0ms

Algorithm

intervals

Results

378.0ms

14149×

body

valid

Details

sample28.0ms

simplify281.0ms

prune11.0ms

localize5.0ms

rewrite11.0ms

series57.0ms

simplify81.0ms

prune105.0ms

localize6.0ms

rewrite10.0ms

series59.0ms

simplify127.0ms

prune89.0ms

localize9.0ms

rewrite35.0ms

series162.0ms

simplify39.0ms

prune221.0ms

localize8.0ms

rewrite27.0ms

series188.0ms

simplify157.0ms

prune153.0ms

regimes229.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample727.0ms

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