Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

402×

body

valid

simplify275.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ (* 3 (* z z)) (* x y))
5.0ms	(* 3 (* z z))

series60.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* 3 (* z z)) (* x y))
26.0ms	(* 3 (* z z))

simplify77.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	166	163
1	617	147
2	2424	143
3	5003	143

prune58.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:

5.0ms	(+ (* (* 3 z) z) (* x y))
5.0ms	(* (* 3 z) z)

series59.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (* 3 z) z) (* x y))
26.0ms	(* (* 3 z) z)

simplify124.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	175	161
1	815	145
2	4087	142
3	5001	141

prune46.0ms

Filtered

35 candidates to 20 candidates (57.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Merged error: 0b

Counts

40 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.3b	(* (cbrt 3) (* z z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

11.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
12.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
6.0ms	(* (cbrt 3) (* z z))

series212.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
84.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
46.0ms	(* (cbrt 3) (* z z))

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	265	553
1	1032	424
2	5002	369

prune95.0ms

Filtered

71 candidates to 37 candidates (52.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	71	6	77

Merged error: 0b

Counts

77 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) z) z)) (* x y))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) z) z))
0.2b	(* (* (cbrt 3) z) z)
0.4b	(* (cbrt 3) z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
7×	`associate-r`
6×	`add-log-exp`
4×	`cbrt-prod`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 79

Calls

4 calls:

11.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) z) z)) (* x y))
11.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) z) z))
5.0ms	(* (* (cbrt 3) z) z)
4.0ms	(* (cbrt 3) z)

series250.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) z) z)) (* x y))
84.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) z) z))
43.0ms	(* (* (cbrt 3) z) z)
43.0ms	(* (cbrt 3) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	306	633
1	1537	537
2	5001	436

prune115.0ms

Filtered

91 candidates to 48 candidates (52.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	91	6	97

Merged error: 0b

Counts

97 → 6

regimes108.0ms

Accuracy

0% (0.1b 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	11	4
1	11	4

end0.0ms

sample536.0ms

Algorithm

intervals

Results

290.0ms

12121×

body

valid