Details

sample22.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.683594%

Guaranteed chance to sample good point: 37.168142%

Results

29.0ms	250×	body	80	valid
1.0ms	2×	body	1280	valid
1.0ms	2×	body	640	valid
1.0ms	2×	body	640	invalid
1.0ms	2×	body	320	valid
1.0ms	2×	body	320	invalid
1.0ms	5×	body	80	invalid
0.0ms	2×	body	160	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	50	16
1	93	16
2	200	16
3	517	15
4	1893	15
5	5001	15

prune12.0ms

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: 17.5b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* K (+ m n)) 2.0) M)
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
0.2b	(/ (* K (+ m n)) 2.0)
36.6b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`unpow-prod-down` `add-log-exp`
5×	`pow1`
4×	`times-frac`
3×	`pow-unpow` `associate-/r*` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `cos-sum` `associate-*r/` `div-exp` `associate-/l/` `distribute-lft-out--`
1×	`cos-diff` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `flip3-+` `diff-log` `pow-exp` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

7.0ms	(- (/ (* K (+ m n)) 2.0) M)
9.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
6.0ms	(/ (* K (+ m n)) 2.0)
8.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

series82.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (/ (* K (+ m n)) 2.0) M)
38.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
8.0ms	(/ (* K (+ m n)) 2.0)
23.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify43.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	413	527
1	1574	482
2	5003	482

prune177.0ms

Filtered

59 candidates to 79 candidates (-33.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	4	80

Merged error: 1.1b

Counts

80 → 4

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`unpow-prod-down`
5×	`*-un-lft-identity`
3×	`add-cube-cbrt` `pow-unpow`
2×	`pow1` `add-exp-log` `difference-of-squares`
1×	`pow-to-exp` `pow-pow` `times-frac` `pow-exp` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `sqr-pow`

Counts

1 → 20

Calls

1 calls:

10.0ms

(pow (- (/ (+ m n) 2.0) M) 2.0)

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify46.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	170	174
1	470	169
2	1593	165
3	5002	157

prune59.0ms

Filtered

17 candidates to 23 candidates (-35.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	23	4	27

Merged error: 1.1b

Counts

27 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
36.7b	(cos (- (* (/ K (* (cbrt 2.0) (cbrt 2.0))) (/ (+ m n) (cbrt 2.0))) M))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`cos-sum`
1×	`cos-diff` `sub-neg`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
12.0ms	(cos (- (* (/ K (* (cbrt 2.0) (cbrt 2.0))) (/ (+ m n) (cbrt 2.0))) M))

series33.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
33.0ms	(cos (- (* (/ K (* (cbrt 2.0) (cbrt 2.0))) (/ (+ m n) (cbrt 2.0))) M))

simplify77.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	82	309
1	139	279
2	219	273
3	308	273
4	458	273
5	812	273
6	2301	273
7	5001	273

prune155.0ms

Filtered

40 candidates to 49 candidates (-22.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	48	5	53

Merged error: 1.1b

Counts

53 → 5

localize33.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
36.7b	(cos (- (* (/ K (* (cbrt 2.0) (cbrt 2.0))) (/ (+ m n) (cbrt 2.0))) M))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`cos-sum`
1×	`cos-diff` `sub-neg`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
12.0ms	(cos (- (* (/ K (* (cbrt 2.0) (cbrt 2.0))) (/ (+ m n) (cbrt 2.0))) M))

series34.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
33.0ms	(cos (- (* (/ K (* (cbrt 2.0) (cbrt 2.0))) (/ (+ m n) (cbrt 2.0))) M))

simplify74.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	82	321
1	139	291
2	219	285
3	308	285
4	458	285
5	812	285
6	2301	285
7	5001	285

prune147.0ms

Filtered

41 candidates to 49 candidates (-19.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	50	4	54

Merged error: 1.1b

Counts

54 → 4

regimes375.0ms

Accuracy

0% (0.2b remaining)

Error of 1.4b against oracle of 1.2b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms

sample24.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.683594%

Guaranteed chance to sample good point: 37.168142%

Results

851.0ms	7814×	body	80	valid
41.0ms	64×	body	1280	valid
38.0ms	88×	body	640	invalid
30.0ms	51×	body	1280	invalid
29.0ms	58×	body	640	valid
23.0ms	222×	body	80	invalid
22.0ms	71×	body	320	invalid
15.0ms	47×	body	320	valid
7.0ms	32×	body	160	invalid
4.0ms	17×	body	160	valid
2.0ms	2×	body	2560	invalid

Details

sample22.4s

simplify49.0ms

prune12.0ms

localize22.0ms

rewrite31.0ms

series82.0ms

simplify43.0ms

prune177.0ms

localize14.0ms

rewrite11.0ms

series40.0ms

simplify46.0ms

prune59.0ms

localize26.0ms

rewrite17.0ms

series33.0ms

simplify77.0ms

prune155.0ms

localize33.0ms

rewrite17.0ms

series34.0ms

simplify74.0ms

prune147.0ms

regimes375.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample24.5s

Profiling