Details

analyze21.0ms

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

sample11.0ms

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	5
1	6	5

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

localize4.0ms

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:

6.0ms

(+ x (/ y 500.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ x (/ y 500.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4907	114
1	4907	114

prune18.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ y 500.0) 3)
1.8b	(+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0)))
2.8b	(+ (pow x 3) (pow (/ y 500.0) 3))
41.7b	(/ (+ (pow x 3) (pow (/ y 500.0) 3)) (+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
45×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod`
25×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`add-log-exp`
5×	`pow1` `sum-cubes`
4×	`flip3-+` `flip-+`
3×	`pow-unpow` `associate-/r*` `div-inv`
2×	`cbrt-undiv` `+-commutative` `div-exp` `pow-exp` `sum-log` `associate-/r/` `associate-/l/` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `clear-num` `sqr-pow`

Counts

4 → 129

Calls

4 calls:

4.0ms	(pow (/ y 500.0) 3)
5.0ms	(+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0)))
20.0ms	(+ (pow x 3) (pow (/ y 500.0) 3))
26.0ms	(/ (+ (pow x 3) (pow (/ y 500.0) 3)) (+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (/ y 500.0) 3)
7.0ms	(+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0)))
9.0ms	(+ (pow x 3) (pow (/ y 500.0) 3))
18.0ms	(/ (+ (pow x 3) (pow (/ y 500.0) 3)) (+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0))))

simplify58.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5431	2753

prune177.0ms

Filtered

79 candidates to 141 candidates (-78.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	140	3	143

Merged error: 0b

Counts

143 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0)))
1.8b	(+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0)))
31.6b	(/ (+ x (/ y 500.0)) (+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0))))
31.7b	(* (+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0))) (/ (+ x (/ y 500.0)) (+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`flip3-+` `flip-+` `distribute-lft-out`
6×	`pow1`
4×	`associate-/r/` `associate-/l*`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `+-commutative` `frac-times` `div-exp` `associate-*l/` `prod-exp` `sum-log` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 98

Calls

4 calls:

5.0ms	(+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0)))
5.0ms	(+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0)))
10.0ms	(/ (+ x (/ y 500.0)) (+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0))))
16.0ms	(* (+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0))) (/ (+ x (/ y 500.0)) (+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0)))))

series33.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0)))
7.0ms	(+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0)))
14.0ms	(/ (+ x (/ y 500.0)) (+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0))))
5.0ms	(* (+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0))) (/ (+ x (/ y 500.0)) (+ (* x x) (* y (/ (- (/ y 500.0) x) 500.0)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5712	2541

prune161.0ms

Filtered

82 candidates to 110 candidates (-34.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0b

Counts

113 → 3

regimes136.0ms

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	5
1	6	5

end0.0ms

sample287.0ms

Algorithm

intervals

Results

158.0ms

8000×

body

valid

Details

analyze21.0ms

sample11.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite6.0ms

series5.0ms

simplify52.0ms

prune18.0ms

localize17.0ms

rewrite62.0ms

series37.0ms

simplify58.0ms

prune177.0ms

localize12.0ms

rewrite39.0ms

series33.0ms

simplify48.0ms

prune161.0ms

regimes136.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample287.0ms

Profiling