Details

sample1.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 72.143555%

Results

13.0ms	85×	body	1280	valid
6.0ms	48×	body	640	valid
3.0ms	17×	body	2560	valid
2.0ms	72×	body	80	valid
2.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	43	5
2	91	5
3	194	5
4	321	5
5	579	5
6	1088	5
7	1305	5
8	1305	5

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: 43.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (+ (* x y) z))
9.4b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`*-un-lft-identity`
6×	`sum-log`
4×	`add-sqr-sqrt`
3×	`diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+` `difference-of-squares`

Counts

2 → 32

Calls

2 calls:

5.0ms	(+ 1.0 (+ (* x y) z))
7.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ 1.0 (+ (* x y) z))
9.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	169	241
1	611	230
2	2945	230
3	5002	230

prune63.0ms

Filtered

26 candidates to 38 candidates (-46.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	32	6	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	6	39

Merged error: 43.2b

Counts

39 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma x y z) 1.0)
9.4b	(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`*-un-lft-identity`
7×	`diff-log`
6×	`add-sqr-sqrt`
4×	`flip3--` `frac-sub` `flip--` `distribute-lft-out--`
3×	`sub-neg`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip-+` `difference-of-squares`
1×	`associate--l-` `associate--r+`

Counts

2 → 40

Calls

2 calls:

3.0ms	(- (fma x y z) 1.0)
9.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- (fma x y z) 1.0)
9.0ms	(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify35.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	282	373
1	1153	361
2	5001	349

prune280.0ms

Filtered

29 candidates to 46 candidates (-58.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	38	8	46
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	39	13	52

Merged error: 42.9b

Counts

52 → 13

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma x y z) 1.0)
1.2b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.1b	(- (- (fma x y z) 1.0) (* x y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`diff-log`
8×	`associate--l+`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`sub-neg`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
2×	`associate--l-` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

3.0ms	(- (fma x y z) 1.0)
8.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
6.0ms	(- (- (fma x y z) 1.0) (* x y))

series19.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(- (fma x y z) 1.0)
9.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
7.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify58.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	203	339
1	593	328
2	2349	322
3	5001	322

prune114.0ms

Filtered

38 candidates to 60 candidates (-57.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	57	16	73

Merged error: 42.9b

Counts

73 → 16

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (- (- (fma x y z) 1.0) (* x y)) z)
10.1b	(- (- (fma x y z) 1.0) (* x y))
10.1b	(- (- (fma x y z) 1.0) (* x y))
10.1b	(- (- (fma x y z) 1.0) (* x y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-log-exp`
15×	`diff-log`
12×	`associate--l+`
9×	`sub-neg`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `associate--l-` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

8.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
7.0ms	(- (- (fma x y z) 1.0) (* x y))
6.0ms	(- (- (fma x y z) 1.0) (* x y))
8.0ms	(- (- (fma x y z) 1.0) (* x y))

series30.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- (- (fma x y z) 1.0) (* x y)) z)
7.0ms	(- (- (fma x y z) 1.0) (* x y))
7.0ms	(- (- (fma x y z) 1.0) (* x y))
7.0ms	(- (- (fma x y z) 1.0) (* x y))

simplify60.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	162	487
1	515	476
2	2224	469
3	5001	469

prune122.0ms

Filtered

53 candidates to 81 candidates (-52.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	80	17	97

Merged error: 42.9b

Counts

97 → 17

regimes320.0ms

Accuracy

0% (0.8b remaining)

Error of 44.8b against oracle of 44.0b and baseline of 44.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	17	35

end0.0ms

sample2.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 72.143555%

Results

398.0ms	2628×	body	1280	valid
209.0ms	1593×	body	640	valid
109.0ms	582×	body	2560	valid
73.0ms	2115×	body	80	valid
73.0ms	738×	body	320	valid
24.0ms	344×	body	160	valid

Details

sample1.4s

simplify26.0ms

prune3.0ms

localize8.0ms

rewrite13.0ms

series15.0ms

simplify63.0ms

prune63.0ms

localize8.0ms

rewrite13.0ms

series12.0ms

simplify35.0ms

prune280.0ms

localize8.0ms

rewrite19.0ms

series19.0ms

simplify58.0ms

prune114.0ms

localize13.0ms

rewrite31.0ms

series30.0ms

simplify60.0ms

prune122.0ms

regimes320.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.5s

Profiling