Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

340×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	3
1	12	3
2	13	3
3	13	3

prune2.0ms

Filtered

1 candidates to 0 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 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

8.0ms	(+ (* x x) y)
11.0ms	(+ (+ (* x x) y) y)

series52.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (* x x) y)
32.0ms	(+ (+ (* x x) y) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	132	150
1	494	139
2	1581	133
3	5001	132

prune45.0ms

Filtered

36 candidates to 24 candidates (33.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Merged error: 0.0b

Counts

37 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

15.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify58.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	99	97
1	437	88
2	1645	88
3	5002	88

prune22.0ms

Filtered

21 candidates to 11 candidates (47.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	21	2	23

Merged error: 0.0b

Counts

23 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
62×	`distribute-lft-out`
54×	`sqrt-prod`
24×	`add-sqr-sqrt`
23×	`swap-sqr`
22×	`associate-l`
19×	`pow1`
16×	`add-log-exp`
12×	`add-cube-cbrt` `sqrt-div`
9×	`flip3-+` `associate-r` `flip-+`
8×	`sqrt-pow1` `pow1/2`
7×	`sum-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`+-commutative` `pow-prod-up`
4×	`frac-times` `associate-+l+` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 125

Calls

4 calls:

8.0ms	(+ (* x x) y)
11.0ms	(+ (+ (* x x) y) y)
11.0ms	(+ (+ (* x x) y) y)
33.0ms	(* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* x x) y)
27.0ms	(+ (+ (* x x) y) y)
28.0ms	(+ (+ (* x x) y) y)
34.0ms	(* (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	226	760
1	938	689
2	5001	651

prune135.0ms

Filtered

137 candidates to 62 candidates (54.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	137	2	139

Merged error: 0b

Counts

139 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ (+ (* x x) y) y)))
0.0b	(sqrt (sqrt (+ (+ (* x x) y) y)))
0.3b	(* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y))))
0.5b	(pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

101×	`sqrt-prod`
59×	`*-un-lft-identity`
50×	`add-sqr-sqrt`
33×	`unpow-prod-down`
29×	`sqrt-pow1`
26×	`pow1`
25×	`distribute-lft-out`
22×	`associate-l`
19×	`add-cube-cbrt`
15×	`pow-pow` `pow1/2` `unswap-sqr`
12×	`sqrt-div` `associate-r` `pow-prod-up`
10×	`add-exp-log`
7×	`add-cbrt-cube`
5×	`sqr-pow`
4×	`rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `flip3-+` `prod-exp` `sqrt-pow2` `flip-+`
2×	`pow-to-exp` `pow-plus` `unpow3` `associate-*r/` `pow-exp`
1×	`pow-prod-down` `*-commutative` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 154

Calls

4 calls:

12.0ms	(sqrt (sqrt (+ (+ (* x x) y) y)))
12.0ms	(sqrt (sqrt (+ (+ (* x x) y) y)))
33.0ms	(* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y))))
12.0ms	(pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)

series327.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(sqrt (sqrt (+ (+ (* x x) y) y)))
95.0ms	(sqrt (sqrt (+ (+ (* x x) y) y)))
29.0ms	(* (pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3) (sqrt (sqrt (+ (+ (* x x) y) y))))
110.0ms	(pow (sqrt (sqrt (+ (+ (* x x) y) y))) 3)

simplify76.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	374	1440
1	1570	1255
2	5003	1075

prune214.0ms

Filtered

166 candidates to 83 candidates (50.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	166	2	168

Merged error: 0b

Counts

168 → 2

regimes53.0ms

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	3
1	6	3

end0.0ms

sample349.0ms

Algorithm

intervals

Results

185.0ms

10592×

body

valid