Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify10.0ms

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: 38.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (+ (* x x) (* y y)) (* z z))
35.6b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite16.0ms

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:

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

series183.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* x x) (* y y))
44.0ms	(+ (+ (* x x) (* y y)) (* z z))
109.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify106.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (100.0ms)

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

prune157.0ms

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: 15.6b

Counts

60 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(hypot (sqrt (+ (* x x) (* y y))) z)
32.4b	(sqrt (+ (* x x) (* y y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

4.0ms	(+ (* x x) (* y y))
1.0ms	(hypot (sqrt (+ (* x x) (* y y))) z)
4.0ms	(sqrt (+ (* x x) (* y y)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (* x x) (* y y))
167.0ms	(hypot (sqrt (+ (* x x) (* y y))) z)
37.0ms	(sqrt (+ (* x x) (* y y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	152	254
1	617	227
2	1802	223
3	5002	221

prune123.0ms

Filtered

51 candidates to 42 candidates (82.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	54	2	56

Merged error: 0.0b

Counts

56 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(hypot (hypot x y) z)
0.0b	(hypot x y)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

1.0ms	(hypot (hypot x y) z)
1.0ms	(hypot x y)

series238.0ms

Counts

2 → 6

Calls

2 calls:

187.0ms	(hypot (hypot x y) z)
51.0ms	(hypot x y)

simplify114.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	38	68
1	43	60
2	49	60
3	57	60
4	85	60
5	159	60
6	660	60
7	2200	60
8	5001	60

prune63.0ms

Filtered

26 candidates to 26 candidates (100.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `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×	`hypot-udef` `pow-prod-down` `pow-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

1.0ms	(hypot (* (sqrt (hypot x y)) (sqrt (hypot x y))) z)
1.0ms	(hypot x y)
1.0ms	(hypot x y)
6.0ms	(* (sqrt (hypot x y)) (sqrt (hypot x y)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(hypot (* (sqrt (hypot x y)) (sqrt (hypot x y))) z)
51.0ms	(hypot x y)
51.0ms	(hypot x y)
46.0ms	(* (sqrt (hypot x y)) (sqrt (hypot x y)))

simplify114.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	118	313
1	393	266
2	2232	258
3	5001	250

prune176.0ms

Filtered

93 candidates to 64 candidates (68.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

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	5	2

end0.0ms

sample404.0ms

Algorithm

intervals

Results

235.0ms

8000×

body

valid