Details

sample3.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 17.504883%

Guaranteed chance to sample good point: 83.722995%

Results

7.0ms	242×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	10×	body	80	invalid
0.0ms	5×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

prune3.0ms

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 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

5.0ms	(* x (+ y z))
6.0ms	(+ (* x (+ y z)) (* z 5.0))

series14.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (+ y z))
8.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify115.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune49.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Merged error: 0.0b

Counts

43 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (+ x 5.0)))
0.0b	(* z (+ x 5.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

4.0ms	(+ (* x y) (* z (+ x 5.0)))
6.0ms	(* z (+ x 5.0))

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify127.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	209	182
1	941	168
2	4791	168
3	5002	168

prune61.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	39	6	45

Merged error: 0.0b

Counts

45 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series95.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt z) (cbrt z))
22.0ms	(cbrt z)
22.0ms	(cbrt z)
23.0ms	(cbrt z)

simplify78.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune85.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0b

Counts

91 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.9b	(pow (cbrt (cbrt z)) 4)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

2.0ms	(cbrt (cbrt z))
2.0ms	(cbrt (cbrt z))
2.0ms	(cbrt (cbrt z))
4.0ms	(pow (cbrt (cbrt z)) 4)

series133.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (cbrt z))
31.0ms	(cbrt (cbrt z))
32.0ms	(cbrt (cbrt z))
40.0ms	(pow (cbrt (cbrt z)) 4)

simplify71.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	162	409
1	464	379
2	1659	329
3	5002	323

prune89.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0b

Counts

85 → 7

regimes178.0ms

Accuracy

0% (0.0b 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

sample4.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 17.504883%

Guaranteed chance to sample good point: 83.722995%

Results

225.0ms	7674×	body	80	valid
15.0ms	122×	body	1280	valid
10.0ms	373×	body	80	invalid
10.0ms	106×	body	640	valid
4.0ms	54×	body	320	valid
2.0ms	44×	body	160	valid

Details

sample3.5s

simplify7.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series14.0ms

simplify115.0ms

prune49.0ms

localize6.0ms

rewrite10.0ms

series13.0ms

simplify127.0ms

prune61.0ms

localize13.0ms

rewrite11.0ms

series95.0ms

simplify78.0ms

prune85.0ms

localize18.0ms

rewrite10.0ms

series133.0ms

simplify71.0ms

prune89.0ms

regimes178.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.2s

Profiling