Details

analyze383.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
26.5%	73.3%	0.1%	8
33.5%	66.3%	0.1%	9
49.1%	50.7%	0.1%	10
56.9%	42.9%	0.1%	11
60.8%	39%	0.1%	12
69%	30.9%	0.1%	13
72.5%	27.3%	0.1%	14

sample38.0ms

Algorithm

intervals

Results

11.0ms	73×	body	1280	valid
7.0ms	58×	body	640	valid
5.0ms	30×	body	2560	valid
2.0ms	58×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	17×	body	160	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	522	12
1	522	12

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 47.7b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
14.5b	(-.f64 (fma.f64 x y z) (+.f64 1.0 (+.f64 (*.f64 x y) z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64` `sum-log_binary64`
3×	`diff-log_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 28

Calls

2 calls:

5.0ms	(+.f64 (*.f64 x y) z)
9.0ms	(-.f64 (fma.f64 x y z) (+.f64 1.0 (+.f64 (*.f64 x y) z)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 (*.f64 x y) z)
14.0ms	(-.f64 (fma.f64 x y z) (+.f64 1.0 (+.f64 (*.f64 x y) z)))

simplify36.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4788	439
1	4788	439

prune61.0ms

Filtered

23 candidates to 34 candidates (-47.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	26	8	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	8	35

Merged error: 47.0b

Counts

35 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
14.5b	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (+.f64 (*.f64 x y) z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64`
6×	`diff-log_binary64`
4×	`add-sqr-sqrt_binary64` `frac-sub_binary64`
3×	`flip3-+_binary64` `flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`
2×	`sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
1×	`associate--r+_binary64` `associate--l-_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `associate--l+_binary64`

Counts

2 → 35

Calls

2 calls:

4.0ms	(+.f64 (*.f64 x y) z)
11.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (+.f64 (*.f64 x y) z))

series18.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (*.f64 x y) z)
11.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (+.f64 (*.f64 x y) z))

simplify40.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5015	708

prune64.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	39	10	49

Merged error: 46.9b

Counts

49 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

1.7b	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y)) z)
14.1b	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp_binary64`
9×	`diff-log_binary64`
5×	`sub-neg_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64` `associate--l+_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate--l-_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 32

Calls

2 calls:

10.0ms	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y)) z)
7.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y))

series20.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y)) z)
9.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y))

simplify51.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4956	549
1	4956	549

prune87.0ms

Filtered

26 candidates to 38 candidates (-46.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	29	9	38
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	31	17	48

Merged error: 46.8b

Counts

48 → 17

localize12.0ms

Local error

Found 4 expressions with local error:

1.7b	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y)) z)
14.1b	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y))
14.1b	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y))
14.1b	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-log-exp_binary64`
15×	`diff-log_binary64`
9×	`sub-neg_binary64`
6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64` `associate--l+_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate--l-_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 60

Calls

4 calls:

10.0ms	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y)) z)
7.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y))
7.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y))
7.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y))

series40.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y)) z)
11.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y))
9.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y))
9.0ms	(-.f64 (-.f64 (fma.f64 x y z) 1.0) (*.f64 x y))

simplify57.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4956	1003
1	4956	1003

prune76.0ms

Filtered

50 candidates to 72 candidates (-44.0%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	15	15
Picked	1	0	1
Done	0	1	1
Total	72	17	89

Merged error: 46.8b

Counts

89 → 17

regimes285.0ms

Accuracy

0% (0.7b remaining)

Error of 45.4b against oracle of 44.7b and baseline of 45.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	70
1	59	70

end0.0ms

sample1.1s

Algorithm

intervals

Results

398.0ms	2632×	body	1280	valid
196.0ms	1595×	body	640	valid
122.0ms	669×	body	2560	valid
74.0ms	2063×	body	80	valid
64.0ms	704×	body	320	valid
21.0ms	337×	body	160	valid

Details

analyze383.0ms

sample38.0ms

simplify23.0ms

prune6.0ms

localize11.0ms

rewrite15.0ms

series20.0ms

simplify36.0ms

prune61.0ms

localize8.0ms

rewrite16.0ms

series18.0ms

simplify40.0ms

prune64.0ms

localize8.0ms

rewrite18.0ms

series20.0ms

simplify51.0ms

prune87.0ms

localize12.0ms

rewrite34.0ms

series40.0ms

simplify57.0ms

prune76.0ms

regimes285.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling