Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify14.0ms

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: 38.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
0.0b	(+ (* x x) (* y y))
36.2b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite22.0ms

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:

7.0ms	(+ (+ (* x x) (* y y)) (* z z))
4.0ms	(+ (* x x) (* y y))
10.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (+ (* x x) (* y y)) (* z z))
31.0ms	(+ (* x x) (* y y))
116.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify116.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (106.0ms)

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

prune167.0ms

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: 15.0b

Counts

60 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot (sqrt (+ (* x x) (* y y))) z)
0.0b	(+ (* x x) (* y y))
30.8b	(sqrt (+ (* x x) (* y y)))

rewrite10.0ms

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:

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

series255.0ms

Counts

3 → 9

Calls

3 calls:

179.0ms	(hypot (sqrt (+ (* x x) (* y y))) z)
35.0ms	(+ (* x x) (* y y))
41.0ms	(sqrt (+ (* x x) (* y y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	152	255
1	617	227
2	1802	223
3	5002	221

prune136.0ms

Filtered

51 candidates to 42 candidates (82.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	4	0	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)

series267.0ms

Counts

2 → 6

Calls

2 calls:

212.0ms	(hypot (hypot x y) z)
55.0ms	(hypot x y)

simplify130.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

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

prune72.0ms

Filtered

26 candidates to 26 candidates (100.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0b

Counts

28 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (hypot x y)) (cbrt (hypot x y)))
0.5b	(cbrt (hypot x y))
0.5b	(cbrt (hypot x y))
0.5b	(cbrt (hypot x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (hypot x y)) (cbrt (hypot x y)))
1.0ms	(cbrt (hypot x y))
1.0ms	(cbrt (hypot x y))
1.0ms	(cbrt (hypot x y))

series527.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (hypot x y)) (cbrt (hypot x y)))
125.0ms	(cbrt (hypot x y))
129.0ms	(cbrt (hypot x y))
134.0ms	(cbrt (hypot x y))

simplify128.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	148	476
1	573	438
2	2836	406
3	5001	402

prune247.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes56.0ms

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

sample405.0ms

Algorithm

intervals

Results

243.0ms

8000×

body

valid

Details

sample17.0ms

simplify14.0ms

prune3.0ms

localize9.0ms

rewrite22.0ms

series191.0ms

simplify116.0ms

prune167.0ms

localize8.0ms

rewrite10.0ms

series255.0ms

simplify72.0ms

prune136.0ms

localize5.0ms

rewrite2.0ms

series267.0ms

simplify130.0ms

prune72.0ms

localize9.0ms

rewrite12.0ms

series527.0ms

simplify128.0ms

prune247.0ms

regimes56.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample405.0ms

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