Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

421×

body

valid

simplify285.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	15	7
1	25	6
2	37	4
3	47	4
4	56	4
5	89	4
6	158	4
7	208	4
8	221	4
9	316	4
10	646	4
11	3199	4
12	5003	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

5.0ms	(+ (+ (* x y) (* z z)) (* z z))
4.0ms	(+ (* x y) (* z z))
8.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series132.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (+ (* x y) (* z z)) (* z z))
38.0ms	(+ (* x y) (* z z))
48.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify127.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	215	352
1	978	316
2	3975	293
3	5001	282

prune85.0ms

Filtered

47 candidates to 34 candidates (72.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
3.4b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.4b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.4b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

13.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
5.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
5.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
5.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series551.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
134.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
130.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
134.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify101.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	300	1437
1	974	1342
2	3797	1237
3	5001	1226

prune280.0ms

Filtered

99 candidates to 78 candidates (78.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	97	8	105

Merged error: 0.0b

Counts

105 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
3.4b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
3.4b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
3.4b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

16.0ms	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

series641.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
162.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
131.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
172.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

simplify115.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	304	1819
1	1014	1696
2	4348	1559
3	5001	1549

prune255.0ms

Filtered

99 candidates to 78 candidates (78.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

3.4b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.4b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.4b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.4b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
5.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
5.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
5.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
138.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
133.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
141.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	166	744
1	435	692
2	1365	664
3	5002	660

prune237.0ms

Filtered

64 candidates to 64 candidates (100.0%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

regimes206.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample600.0ms

Algorithm

intervals

Results

357.0ms

12097×

body

valid