Details

sample3.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 32.421875%

Guaranteed chance to sample good point: 83.851156%

Results

7.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify276.0ms

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

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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))

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

prune52.0ms

Filtered

23 candidates to 36 candidates (-56.5%)

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))
0.1b	(* (* 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:

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

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify130.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (126.0ms)

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

prune43.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

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)))
0.2b	(* (cbrt 3) (* z z))

rewrite33.0ms

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:

13.0ms	(+ (* (* (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))

series25.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
9.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
5.0ms	(* (cbrt 3) (* z z))

simplify43.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (36.0ms)

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

prune91.0ms

Filtered

38 candidates to 71 candidates (-86.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	72	4	76

Merged error: 0.0b

Counts

76 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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))
5.0ms	(* (* (cbrt 3) z) z)
11.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) z) z))
4.0ms	(* (cbrt 3) z)

series30.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) z) z)) (* x y))
5.0ms	(* (* (cbrt 3) z) z)
9.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) z) z))
4.0ms	(* (cbrt 3) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	306	636
1	1537	539
2	5002	436

prune115.0ms

Filtered

49 candidates to 91 candidates (-85.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	91	4	95

Merged error: 0b

Counts

95 → 4

regimes281.0ms

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	12	4
1	12	4

end0.0ms

sample3.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 32.421875%

Guaranteed chance to sample good point: 83.851156%

Results

242.0ms	8000×	body	80	valid
7.0ms	239×	body	80	invalid

Details

sample3.1s

simplify276.0ms

prune9.0ms

localize6.0ms

rewrite11.0ms

series10.0ms

simplify77.0ms

prune52.0ms

localize6.0ms

rewrite10.0ms

series10.0ms

simplify130.0ms

prune43.0ms

localize10.0ms

rewrite33.0ms

series25.0ms

simplify43.0ms

prune91.0ms

localize10.0ms

rewrite33.0ms

series30.0ms

simplify58.0ms

prune115.0ms

regimes281.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.7s

Profiling