Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

390×

body

valid

simplify314.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune6.0ms

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

localize8.0ms

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))

rewrite20.0ms

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:

6.0ms	(+ (+ (* x y) (* z z)) (* z z))
4.0ms	(+ (* x y) (* z z))
9.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series166.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (+ (* x y) (* z z)) (* z z))
46.0ms	(+ (* x y) (* z z))
58.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify142.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (137.0ms)

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

prune105.0ms

Filtered

47 candidates to 34 candidates (72.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	42	7	49

Merged error: 0.0b

Counts

49 → 7

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

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

series123.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* x y) (* z (+ z z)))
58.0ms	(+ (+ (* x y) (* z (+ z z))) (* z z))

simplify155.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (151.0ms)

Iter	Nodes	Cost
0	187	237
1	821	220
2	3919	210
3	5002	206

prune79.0ms

Filtered

32 candidates to 23 candidates (71.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	6	0	6
Picked	0	1	1
Done	0	0	0
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (* 3 z) z))
0.2b	(* (* 3 z) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x y) (* (* 3 z) z))
6.0ms	(* (* 3 z) z)

series92.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* x y) (* (* 3 z) z))
30.0ms	(* (* 3 z) z)

simplify163.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (159.0ms)

Iter	Nodes	Cost
0	175	161
1	822	145
2	4320	140
3	5001	139

prune70.0ms

Filtered

35 candidates to 22 candidates (62.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3 z) z)
0.3b	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
20.9b	(sqrt (* (* 3 z) z))
20.9b	(sqrt (* (* 3 z) z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* (* 3 z) z)
13.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
4.0ms	(sqrt (* (* 3 z) z))
4.0ms	(sqrt (* (* 3 z) z))

series201.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* 3 z) z)
84.0ms	(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
41.0ms	(sqrt (* (* 3 z) z))
46.0ms	(sqrt (* (* 3 z) z))

simplify57.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	178	365
1	984	307
2	5002	269

prune170.0ms

Filtered

120 candidates to 52 candidates (43.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	119	7	126

Merged error: 0b

Counts

126 → 7

regimes124.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample566.0ms

Algorithm

intervals

Results

315.0ms

12142×

body

valid