Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

433×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:

3.0ms

(+ (* x x) (* y y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ (* x x) (* y y))

simplify36.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4958	131
1	4958	131

prune20.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
7.6b	(cbrt (+ (* x x) (* y y)))
7.6b	(cbrt (+ (* x x) (* y y)))
7.6b	(cbrt (+ (* x x) (* y y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

10.0ms	(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
3.0ms	(cbrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))

series86.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
21.0ms	(cbrt (+ (* x x) (* y y)))
20.0ms	(cbrt (+ (* x x) (* y y)))
23.0ms	(cbrt (+ (* x x) (* y y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5042	1301

prune107.0ms

Filtered

71 candidates to 99 candidates (-39.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

7.1b	(sqrt (+ (* x x) (* y y)))
7.1b	(sqrt (+ (* x x) (* y y)))
7.6b	(cbrt (+ (* x x) (* y y)))
7.6b	(cbrt (+ (* x x) (* y y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `cbrt-div` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

5.0ms	(sqrt (+ (* x x) (* y y)))
3.0ms	(sqrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ (* x x) (* y y)))
6.0ms	(sqrt (+ (* x x) (* y y)))
21.0ms	(cbrt (+ (* x x) (* y y)))
21.0ms	(cbrt (+ (* x x) (* y y)))

simplify32.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5188	696

prune81.0ms

Filtered

56 candidates to 68 candidates (-21.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	68	4	72

Merged error: 0b

Counts

72 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

7.6b	(cbrt (+ (* x x) (* y y)))
7.6b	(cbrt (+ (* x x) (* y y)))
7.6b	(cbrt (+ (* x x) (* y y)))
7.6b	(cbrt (+ (* x x) (* y y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt (+ (* x x) (* y y)))
23.0ms	(cbrt (+ (* x x) (* y y)))
21.0ms	(cbrt (+ (* x x) (* y y)))
20.0ms	(cbrt (+ (* x x) (* y y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4883	736
1	4883	736

prune83.0ms

Filtered

52 candidates to 64 candidates (-23.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0b

Counts

68 → 4

regimes214.0ms

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	7
1	6	7

end0.0ms

sample727.0ms

Algorithm

intervals

Results

341.0ms

14249×

body

valid

Details

sample24.0ms

simplify3.0ms

prune2.0ms

localize8.0ms

rewrite4.0ms

series6.0ms

simplify36.0ms

prune20.0ms

localize8.0ms

rewrite22.0ms

series86.0ms

simplify40.0ms

prune107.0ms

localize13.0ms

rewrite16.0ms

series53.0ms

simplify32.0ms

prune81.0ms

localize14.0ms

rewrite15.0ms

series85.0ms

simplify44.0ms

prune83.0ms

regimes214.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample727.0ms

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