Details

sample190.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.668457%

Results

5.0ms	240×	body	80	valid
1.0ms	5×	body	2560	valid
0.0ms	5×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

8.0ms

(+ x (/ (- x y) 2.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ x (/ (- x y) 2.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	91	81
1	242	74
2	704	74
3	3412	74
4	5001	74

prune36.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

20.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
45.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))
44.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	263	1109
1	751	1044
2	2594	956
3	5001	938

prune192.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`*-un-lft-identity`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 59

Calls

4 calls:

8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
9.0ms	(cbrt (+ x (/ (- x y) 2.0)))
9.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series174.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(cbrt (+ x (/ (- x y) 2.0)))
44.0ms	(cbrt (+ x (/ (- x y) 2.0)))
44.0ms	(cbrt (+ x (/ (- x y) 2.0)))
42.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify81.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 4 (73.0ms)

Iter	Nodes	Cost
0	200	630
1	436	592
2	1062	584
3	3502	572
4	5002	564

prune229.0ms

Filtered

63 candidates to 71 candidates (-12.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (- x y) 2.0))
0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
14.0b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
31.0b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
106×	`times-frac`
56×	`add-cube-cbrt`
32×	`difference-of-squares`
25×	`swap-sqr`
24×	`distribute-lft-out--`
19×	`associate-r` `associate-l`
18×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`add-log-exp`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate--r-`

Counts

4 → 171

Calls

4 calls:

9.0ms	(- x (/ (- x y) 2.0))
17.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
3.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
16.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- x (/ (- x y) 2.0))
5.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
8.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
16.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify118.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	767	1986
1	4021	1797
2	5002	1766

prune215.0ms

Filtered

123 candidates to 183 candidates (-48.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	183	5	188

Merged error: 0.0b

Counts

188 → 5

regimes165.0ms

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	7	3
1	7	3

end0.0ms

sample599.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.668457%

Results

167.0ms	7387×	body	80	valid
24.0ms	224×	body	1280	valid
14.0ms	145×	body	640	valid
10.0ms	89×	body	2560	valid
6.0ms	101×	body	320	valid
2.0ms	54×	body	160	valid
0.0ms	3×	body	80	invalid

Details

sample190.0ms

simplify16.0ms

prune3.0ms

localize4.0ms

rewrite9.0ms

series5.0ms

simplify78.0ms

prune36.0ms

localize9.0ms

rewrite47.0ms

series180.0ms

simplify64.0ms

prune192.0ms

localize15.0ms

rewrite35.0ms

series174.0ms

simplify81.0ms

prune229.0ms

localize9.0ms

rewrite54.0ms

series34.0ms

simplify118.0ms

prune215.0ms

regimes165.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample599.0ms

Profiling