Details

sample563.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 32.520818%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

7.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify268.0ms

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))

simplify79.0ms

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

prune57.0ms

Filtered

23 candidates to 36 candidates (-56.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	1	1
Picked	1	0	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:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* (* 3 z) z) (* x y))
3.0ms	(* (* 3 z) z)

simplify137.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (133.0ms)

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

prune48.0ms

Filtered

20 candidates to 35 candidates (-75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

3.0ms	(+ (* x y) (* z z))
5.0ms	(+ (+ (* x y) (* z z)) (* z z))
8.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series32.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (* x y) (* z z))
11.0ms	(+ (+ (* x y) (* z z)) (* z z))
12.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify123.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (118.0ms)

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

prune61.0ms

Filtered

34 candidates to 47 candidates (-38.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

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))

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:

12.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))) (* x y))
14.0ms	(* (* (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)))
4.0ms	(* (cbrt 3) (* z z))

simplify39.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (33.0ms)

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

prune88.0ms

Filtered

38 candidates to 71 candidates (-86.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	3	1	4
Picked	0	1	1
Done	0	2	2
Total	72	6	78

Merged error: 0.0b

Counts

78 → 6

regimes400.0ms

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

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 32.520818%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

239.0ms	8000×	body	80	valid
11.0ms	273×	body	80	invalid

Details

sample563.0ms

simplify268.0ms

prune9.0ms

localize6.0ms

rewrite11.0ms

series10.0ms

simplify79.0ms

prune57.0ms

localize6.0ms

rewrite10.0ms

series11.0ms

simplify137.0ms

prune48.0ms

localize8.0ms

rewrite18.0ms

series32.0ms

simplify123.0ms

prune61.0ms

localize9.0ms

rewrite33.0ms

series25.0ms

simplify39.0ms

prune88.0ms

regimes400.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling