Details

analyze338.0ms

Algorithm: search

sample18.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

simplify282.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

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	3185	4
12	5003	4

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

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))

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* 3 (* z z)) (* x y))
5.0ms	(* 3 (* z z))

simplify75.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (18.0ms)

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

prune56.0ms

Filtered

23 candidates to 36 candidates (-56.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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

series10.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* (* 3 z) z) (* x y))
3.0ms	(* (* 3 z) z)

simplify128.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (124.0ms)

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

prune43.0ms

Filtered

20 candidates to 35 candidates (-75.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	35	6	41

Merged error: 0.0b

Counts

41 → 6

localize10.0ms

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))

rewrite30.0ms

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))
11.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
6.0ms	(* (cbrt 3) (* z z))

series27.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
8.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
4.0ms	(* (cbrt 3) (* z z))

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	265	553
1	1032	424
2	5002	368

prune112.0ms

Filtered

37 candidates to 71 candidates (-91.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	71	6	77

Merged error: 0b

Counts

77 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

10.0ms	(+ (* (cbrt 3) (* (cbrt 3) (* (cbrt 3) (* z z)))) (* x y))
6.0ms	(* (cbrt 3) (* z z))
11.0ms	(* (cbrt 3) (* (cbrt 3) (* (cbrt 3) (* z z))))
10.0ms	(* (cbrt 3) (* (cbrt 3) (* z z)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* (cbrt 3) (* (cbrt 3) (* (cbrt 3) (* z z)))) (* x y))
4.0ms	(* (cbrt 3) (* z z))
9.0ms	(* (cbrt 3) (* (cbrt 3) (* (cbrt 3) (* z z))))
7.0ms	(* (cbrt 3) (* (cbrt 3) (* z z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	276	658
1	1040	537
2	5002	464

prune141.0ms

Filtered

59 candidates to 97 candidates (-64.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	97	6	103

Merged error: 0b

Counts

103 → 6

regimes285.0ms

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

analyze327.0ms

Algorithm: search

sample479.0ms

Algorithm

intervals

Results

287.0ms	8000×	body	80	valid
19.0ms	460×	body	80	invalid

Details

analyze338.0ms

sample18.0ms

simplify282.0ms

prune7.0ms

localize6.0ms

rewrite11.0ms

series12.0ms

simplify75.0ms

prune56.0ms

localize7.0ms

rewrite9.0ms

series10.0ms

simplify128.0ms

prune43.0ms

localize10.0ms

rewrite30.0ms

series27.0ms

simplify40.0ms

prune112.0ms

localize10.0ms

rewrite39.0ms

series32.0ms

simplify54.0ms

prune141.0ms

regimes285.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze327.0ms

sample479.0ms

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