Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

468×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	9
1	38	9

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ (+ (* x x) (* y y)) (* y y))
12.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series14.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4834	382
1	4834	382

prune47.0ms

Filtered

22 candidates to 33 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	29	6	35

Merged error: 0.0b

Counts

35 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

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-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

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

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4932	279
1	4932	279

prune49.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	2	2	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 4 expressions with local error:

0.2b	(* y (* y 3))
0.2b	(* (sqrt (+ (* x x) (* y (* y 3)))) (sqrt (+ (* x x) (* y (* y 3)))))
5.5b	(sqrt (+ (* x x) (* y (* y 3))))
5.5b	(sqrt (+ (* x x) (* y (* y 3))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`pow1`
24×	`sqrt-prod`
16×	`sqrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-l`
8×	`flip3-+` `swap-sqr` `flip-+`
7×	`associate-r`
6×	`pow-prod-down`
5×	`pow-prod-up`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 105

Calls

4 calls:

5.0ms	(* y (* y 3))
12.0ms	(* (sqrt (+ (* x x) (* y (* y 3)))) (sqrt (+ (* x x) (* y (* y 3)))))
4.0ms	(sqrt (+ (* x x) (* y (* y 3))))
4.0ms	(sqrt (+ (* x x) (* y (* y 3))))

series25.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* y (* y 3))
7.0ms	(* (sqrt (+ (* x x) (* y (* y 3)))) (sqrt (+ (* x x) (* y (* y 3)))))
8.0ms	(sqrt (+ (* x x) (* y (* y 3))))
8.0ms	(sqrt (+ (* x x) (* y (* y 3))))

simplify86.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4891	1290
1	4891	1290

prune139.0ms

Filtered

63 candidates to 117 candidates (-85.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	116	7	123

Merged error: 0b

Counts

123 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (+ (* x x) (* y (* y 3)))))
0.9b	(pow (cbrt (sqrt (+ (* x x) (* y (* y 3))))) 4)
5.5b	(sqrt (+ (* x x) (* y (* y 3))))
6.1b	(cbrt (+ (* x x) (* y (* y 3))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down` `sqrt-prod`
6×	`pow1`
5×	`add-exp-log`
4×	`cbrt-div` `sqrt-div` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `pow1/3` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

4.0ms	(cbrt (sqrt (+ (* x x) (* y (* y 3)))))
6.0ms	(pow (cbrt (sqrt (+ (* x x) (* y (* y 3))))) 4)
4.0ms	(sqrt (+ (* x x) (* y (* y 3))))
4.0ms	(cbrt (+ (* x x) (* y (* y 3))))

series87.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (sqrt (+ (* x x) (* y (* y 3)))))
33.0ms	(pow (cbrt (sqrt (+ (* x x) (* y (* y 3))))) 4)
7.0ms	(sqrt (+ (* x x) (* y (* y 3))))
24.0ms	(cbrt (+ (* x x) (* y (* y 3))))

simplify44.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4860	1095
1	4860	1095

prune178.0ms

Filtered

57 candidates to 80 candidates (-40.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	80	7	87

Merged error: 0b

Counts

87 → 7

regimes245.0ms

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	15
1	10	15

end0.0ms

sample753.0ms

Algorithm

intervals

Results

386.0ms

14358×

body

valid

Details

sample27.0ms

simplify3.0ms

prune7.0ms

localize6.0ms

rewrite19.0ms

series14.0ms

simplify47.0ms

prune47.0ms

localize6.0ms

rewrite9.0ms

series10.0ms

simplify58.0ms

prune49.0ms

localize8.0ms

rewrite28.0ms

series25.0ms

simplify86.0ms

prune139.0ms

localize13.0ms

rewrite20.0ms

series87.0ms

simplify44.0ms

prune178.0ms

regimes245.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample753.0ms

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