Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

497×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	25	4
2	27	4
3	27	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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	(+ (* y y) (* x (+ 2.0 x)))
0.0b	(* x (+ 2.0 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

4.0ms	(+ (* y y) (* x (+ 2.0 x)))
6.0ms	(* x (+ 2.0 x))

series88.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* y y) (* x (+ 2.0 x)))
49.0ms	(* x (+ 2.0 x))

simplify52.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	206	183
1	1038	169
2	5002	169

prune56.0ms

Filtered

42 candidates to 27 candidates (64.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (* x 2.0) (* x x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

6.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
4.0ms	(+ (* x 2.0) (* x x))

series85.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
56.0ms	(+ (* x 2.0) (* x x))

simplify99.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	182	191
1	887	164
2	3634	160
3	5002	160

prune47.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	31	3	34

Merged error: 0b

Counts

34 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.0b	(sqrt (+ (* y y) (* x (+ 2.0 x))))
0.0b	(sqrt (+ (* y y) (* x (+ 2.0 x))))
0.1b	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt` `sqrt-div`
10×	`sqrt-pow1` `pow1/2` `associate-r`
9×	`flip3-+` `associate-l` `flip-+`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-prod-down` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 110

Calls

4 calls:

6.0ms	(* x (+ 2.0 x))
3.0ms	(sqrt (+ (* y y) (* x (+ 2.0 x))))
3.0ms	(sqrt (+ (* y y) (* x (+ 2.0 x))))
11.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

series292.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* x (+ 2.0 x))
106.0ms	(sqrt (+ (* y y) (* x (+ 2.0 x))))
107.0ms	(sqrt (+ (* y y) (* x (+ 2.0 x))))
33.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	315	924
1	1516	830
2	5001	804

prune175.0ms

Filtered

122 candidates to 71 candidates (58.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	122	3	125

Merged error: 0b

Counts

125 → 3

regimes65.0ms

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	10	4
1	10	4

end0.0ms

sample816.0ms

Algorithm

intervals

Results

593.0ms

14159×

body

valid