Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	6
1	25	6
2	31	6
3	32	6
4	32	6

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 37.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
0.0b	(+ (* x x) (* y y))
34.4b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `fma-def` `sum-log`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `hypot-def`

Counts

3 → 50

Calls

3 calls:

6.0ms	(+ (+ (* x x) (* y y)) (* z z))
4.0ms	(+ (* x x) (* y y))
5.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (+ (* x x) (* y y)) (* z z))
31.0ms	(+ (* x x) (* y y))
120.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify105.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	225	355
1	1043	323
2	3749	312
3	5001	309

prune170.0ms

Filtered

59 candidates to 49 candidates (83.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	5	60

Merged error: 12.2b

Counts

60 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
28.3b	(sqrt (+ (* x x) (* y y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `rem-sqrt-square` `fma-def` `sqrt-pow1` `pow1/2` `sum-log` `hypot-def`

Counts

2 → 32

Calls

2 calls:

4.0ms	(+ (* x x) (* y y))
4.0ms	(sqrt (+ (* x x) (* y y)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x x) (* y y))
40.0ms	(sqrt (+ (* x x) (* y y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	136	177
1	589	162
2	1761	158
3	5002	156

prune100.0ms

Filtered

38 candidates to 32 candidates (84.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	4	0	4
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot x y)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `hypot-udef` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(hypot x y)

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(hypot x y)

simplify111.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	22	27
1	25	24
2	29	24
3	34	24
4	51	24
5	114	24
6	459	24
7	1603	24
8	5001	24

prune33.0ms

Filtered

13 candidates to 13 candidates (100.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (hypot x y))
0.0b	(hypot x y)
0.0b	(hypot x y)
0.5b	(* (sqrt (hypot x y)) (sqrt (hypot x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`hypot-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

2.0ms	(sqrt (hypot x y))
1.0ms	(hypot x y)
1.0ms	(hypot x y)
7.0ms	(* (sqrt (hypot x y)) (sqrt (hypot x y)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(sqrt (hypot x y))
62.0ms	(hypot x y)
57.0ms	(hypot x y)
61.0ms	(* (sqrt (hypot x y)) (sqrt (hypot x y)))

simplify177.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	164	296
1	607	256
2	3753	243
3	5001	243

prune199.0ms

Filtered

98 candidates to 65 candidates (66.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	98	3	101

Merged error: 0b

Counts

101 → 3

regimes108.0ms

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	5	2

end0.0ms

sample506.0ms

Algorithm

intervals

Results

337.0ms

8000×

body

valid