Details

analyze16.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	5
1	43	5

prune3.0ms

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))

simplify63.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5042	114

prune30.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize7.0ms

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)))

rewrite36.0ms

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:

17.0ms	(* (cbrt (+ x (/ y 500.0))) (cbrt (+ x (/ y 500.0))))
6.0ms	(cbrt (+ x (/ y 500.0)))
5.0ms	(cbrt (+ x (/ y 500.0)))
5.0ms	(cbrt (+ x (/ y 500.0)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (cbrt (+ x (/ y 500.0))) (cbrt (+ x (/ y 500.0))))
40.0ms	(cbrt (+ x (/ y 500.0)))
37.0ms	(cbrt (+ x (/ y 500.0)))
38.0ms	(cbrt (+ x (/ y 500.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5048	1220

prune222.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y 500.0))
0.2b	(* y (/ y (* 500.0 500.0)))
4.0b	(- (* x x) (* y (/ y (* 500.0 500.0))))
29.9b	(/ (- (* x x) (* y (/ y (* 500.0 500.0)))) (- x (/ y 500.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
18×	`add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
10×	`difference-of-squares`
8×	`add-log-exp`
7×	`associate-r`
6×	`pow1` `associate-/r*`
5×	`distribute-lft-out--`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
3×	`cbrt-undiv` `div-exp` `associate-l` `associate-/l*`
2×	`sub-neg` `diff-log` `associate-/r/` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 97

Calls

4 calls:

6.0ms	(- x (/ y 500.0))
6.0ms	(* y (/ y (* 500.0 500.0)))
4.0ms	(- (* x x) (* y (/ y (* 500.0 500.0))))
13.0ms	(/ (- (* x x) (* y (/ y (* 500.0 500.0)))) (- x (/ y 500.0)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- x (/ y 500.0))
3.0ms	(* y (/ y (* 500.0 500.0)))
7.0ms	(- (* x x) (* y (/ y (* 500.0 500.0))))
12.0ms	(/ (- (* x x) (* y (/ y (* 500.0 500.0)))) (- x (/ y 500.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5412	1719

prune154.0ms

Filtered

79 candidates to 109 candidates (-38.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	3	112

Merged error: 0b

Counts

112 → 3

regimes155.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	22	5
1	22	5

end0.0ms

sample291.0ms

Algorithm

intervals

Results

159.0ms

8000×

body

valid

Details

analyze16.0ms

sample12.0ms

simplify3.0ms

prune3.0ms

localize3.0ms

rewrite6.0ms

series4.0ms

simplify63.0ms

prune30.0ms

localize7.0ms

rewrite36.0ms

series165.0ms

simplify57.0ms

prune222.0ms

localize10.0ms

rewrite32.0ms

series25.0ms

simplify54.0ms

prune154.0ms

regimes155.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample291.0ms

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