Details

sample491.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 90.914917%

Results

6.0ms	242×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid

simplify310.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3907	4
13	5001	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

8.0ms

(+ (* 2 (+ x y)) (+ x z))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify36.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune32.0ms

Filtered

17 candidates to 22 candidates (-29.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Merged error: 0.0b

Counts

23 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
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` `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 → 139

Calls

4 calls:

20.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
10.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
41.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
44.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
41.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify80.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	523	3313
1	1956	3234
2	5002	3164

prune321.0ms

Filtered

109 candidates to 151 candidates (-38.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	150	4	154

Merged error: 0.0b

Counts

154 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.5b	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
0.6b	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.9b	(pow (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) 4)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-div`
80×	`flip3-+` `flip-+`
70×	`associate-*r/`
64×	`frac-add`
36×	`frac-times`
22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`associate-*l/`
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 → 118

Calls

4 calls:

7.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
23.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
8.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
11.0ms	(pow (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) 4)

series271.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
68.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
54.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
106.0ms	(pow (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) 4)

simplify78.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	771	3265
1	2106	3193
2	5001	3154

prune455.0ms

Filtered

100 candidates to 130 candidates (-30.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	129	5	134

Merged error: 0.0b

Counts

134 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
0.5b	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
0.6b	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.9b	(pow (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) 4)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

276×	`cbrt-div`
145×	`flip3-+` `flip-+`
128×	`associate-*r/`
116×	`frac-add`
72×	`frac-times`
20×	`cbrt-prod`
12×	`associate-*l/`
10×	`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 → 158

Calls

4 calls:

24.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
20.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
8.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
11.0ms	(pow (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) 4)

series296.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
66.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
53.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
108.0ms	(pow (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) 4)

simplify99.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	726	5330
1	2159	5216
2	5001	5195

prune829.0ms

Filtered

116 candidates to 170 candidates (-46.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	170	5	175

Merged error: 0.0b

Counts

175 → 5

regimes174.0ms

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

sample971.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 90.914917%

Results

202.0ms	7418×	body	80	valid
20.0ms	188×	body	640	valid
19.0ms	168×	body	1280	valid
8.0ms	118×	body	320	valid
5.0ms	36×	body	2560	valid
3.0ms	72×	body	160	valid
0.0ms	18×	body	80	invalid

Details

sample491.0ms

simplify310.0ms

prune7.0ms

localize6.0ms

rewrite9.0ms

series6.0ms

simplify36.0ms

prune32.0ms

localize10.0ms

rewrite54.0ms

series184.0ms

simplify80.0ms

prune321.0ms

localize17.0ms

rewrite59.0ms

series271.0ms

simplify78.0ms

prune455.0ms

localize24.0ms

rewrite79.0ms

series296.0ms

simplify99.0ms

prune829.0ms

regimes174.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample971.0ms

Profiling