Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	234×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	3×	body	160	valid

simplify305.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3921	4
13	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

15.0ms

(+ (* 2 (+ x y)) (+ x z))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify35.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune60.0ms

Filtered

22 candidates to 17 candidates (77.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
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` `associate-*l/`
4×	`add-cbrt-cube` `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 → 139

Calls

4 calls:

94.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
14.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
248.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
243.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
252.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify83.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	506	3272
1	2014	3193
2	5001	3127

prune521.0ms

Filtered

151 candidates to 109 candidates (72.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-div`
20×	`flip3-+` `flip-+`
16×	`associate-*r/` `frac-add`
12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

14.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
11.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
12.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

235.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
382.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
254.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
251.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	312	1036
1	1182	992
2	5001	980

prune361.0ms

Filtered

80 candidates to 76 candidates (95.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))
0.0b	(sqrt (+ (* 2 (+ x y)) (+ x z)))
0.0b	(sqrt (+ (* 2 (+ x y)) (+ x z)))
0.2b	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `associate-*l/` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-+l+`
1×	`+-commutative` `pow2` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 154

Calls

4 calls:

12.0ms	(+ (* 2 (+ x y)) (+ x z))
21.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
21.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
96.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* 2 (+ x y)) (+ x z))
62.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
61.0ms	(sqrt (+ (* 2 (+ x y)) (+ x z)))
54.0ms	(* (sqrt (+ (* 2 (+ x y)) (+ x z))) (sqrt (+ (* 2 (+ x y)) (+ x z))))

simplify82.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	521	2872
1	2257	2777
2	5002	2756

prune412.0ms

Filtered

166 candidates to 103 candidates (62.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample418.0ms

Algorithm

intervals

Results

194.0ms	7405×	body	80	valid
27.0ms	185×	body	1280	valid
19.0ms	200×	body	640	valid
9.0ms	122×	body	320	valid
4.0ms	76×	body	160	valid
3.0ms	19×	body	2560	valid