Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify13.0ms

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: 38.9b

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))
36.1b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite18.0ms

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

series201.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (+ (* x x) (* y y)) (* z z))
38.0ms	(+ (* x x) (* y y))
120.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify110.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (104.0ms)

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

prune189.0ms

Filtered

59 candidates to 49 candidates (83.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	4	60

Merged error: 16.3b

Counts

60 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(hypot (sqrt (+ (* x x) (* y y))) z)
31.3b	(sqrt (+ (* x x) (* y y)))

rewrite15.0ms

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:

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

series264.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x x) (* y y))
191.0ms	(hypot (sqrt (+ (* x x) (* y y))) z)
41.0ms	(sqrt (+ (* x x) (* y y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (67.0ms)

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

prune154.0ms

Filtered

51 candidates to 42 candidates (82.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	54	1	55

Merged error: 0.0b

Counts

55 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot (hypot x y) z)

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 (hypot x y) z)

series214.0ms

Counts

1 → 3

Calls

1 calls:

214.0ms

(hypot (hypot x y) z)

simplify114.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	24	41
1	27	36
2	31	36
3	36	36
4	55	36
5	109	36
6	515	36
7	1689	36
8	5001	36

prune36.0ms

Filtered

13 candidates to 13 candidates (100.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	2	14

Merged error: 0.0b

Counts

14 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

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

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

series1.1s

Counts

4 → 12

Calls

4 calls:

230.0ms	(* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
451.0ms	(cbrt (hypot (hypot x y) z))
223.0ms	(cbrt (hypot (hypot x y) z))
219.0ms	(cbrt (hypot (hypot x y) z))

simplify148.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (140.0ms)

Iter	Nodes	Cost
0	176	642
1	718	590
2	3519	542
3	5001	524

prune257.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Merged error: 0.0b

Counts

95 → 2

regimes45.0ms

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

sample468.0ms

Algorithm

intervals

Results

274.0ms

8000×

body

valid