Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune2.0ms

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 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ y 500.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

5.0ms

(+ x (/ y 500.0))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ x (/ y 500.0))

simplify108.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	79	58
1	203	53
2	477	53
3	1284	53
4	3895	53
5	5002	53

prune28.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (* 0.002 y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+ x (* 0.002 y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ x (* 0.002 y))

simplify147.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	80	56
1	248	51
2	671	51
3	1735	51
4	4805	51
5	5001	51

prune34.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ y 500.0))) (cbrt (+ x (/ y 500.0))))
0.5b	(cbrt (+ x (/ y 500.0)))
0.5b	(cbrt (+ x (/ y 500.0)))
0.5b	(cbrt (+ x (/ y 500.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

15.0ms	(* (cbrt (+ x (/ y 500.0))) (cbrt (+ x (/ y 500.0))))
5.0ms	(cbrt (+ x (/ y 500.0)))
5.0ms	(cbrt (+ x (/ y 500.0)))
6.0ms	(cbrt (+ x (/ y 500.0)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (+ x (/ y 500.0))) (cbrt (+ x (/ y 500.0))))
46.0ms	(cbrt (+ x (/ y 500.0)))
45.0ms	(cbrt (+ x (/ y 500.0)))
54.0ms	(cbrt (+ x (/ y 500.0)))

simplify98.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	257	909
1	731	858
2	3195	779
3	5002	765

prune206.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	106	5	111

Merged error: 0b

Counts

111 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ y 500.0)))
0.5b	(cbrt (- x (/ y 500.0)))
3.1b	(- (* x x) (* (/ y 500.0) (/ y 500.0)))
29.7b	(cbrt (- (* x x) (* (/ y 500.0) (/ y 500.0))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `difference-of-squares`
3×	`flip3--` `pow1/3` `flip--`
1×	`sub-neg` `flip3-+` `times-frac` `diff-log` `flip-+` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 57

Calls

4 calls:

5.0ms	(cbrt (+ x (/ y 500.0)))
6.0ms	(cbrt (- x (/ y 500.0)))
3.0ms	(- (* x x) (* (/ y 500.0) (/ y 500.0)))
3.0ms	(cbrt (- (* x x) (* (/ y 500.0) (/ y 500.0))))

series106.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (+ x (/ y 500.0)))
38.0ms	(cbrt (- x (/ y 500.0)))
7.0ms	(- (* x x) (* (/ y 500.0) (/ y 500.0)))
23.0ms	(cbrt (- (* x x) (* (/ y 500.0) (/ y 500.0))))

simplify89.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	351	577
1	969	534
2	3670	513
3	5001	496

prune169.0ms

Filtered

56 candidates to 69 candidates (-23.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	69	5	74

Merged error: 0b

Counts

74 → 5

regimes175.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample329.0ms

Algorithm

intervals

Results

143.0ms

8000×

body

valid

Details

sample13.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite6.0ms

series4.0ms

simplify108.0ms

prune28.0ms

localize6.0ms

rewrite5.0ms

series7.0ms

simplify147.0ms

prune34.0ms

localize10.0ms

rewrite34.0ms

series194.0ms

simplify98.0ms

prune206.0ms

localize16.0ms

rewrite19.0ms

series106.0ms

simplify89.0ms

prune169.0ms

regimes175.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample329.0ms

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