Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	25%	13
75%	0%	25%	14

sample9.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

prune1.0ms

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 2 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 3)
0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
12×	`times-frac_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 46

Calls

2 calls:

4.0ms	(-.f64 (*.f64 x x) 3)
7.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(-.f64 (*.f64 x x) 3)
6.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)

simplify34.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5343	506

prune38.0ms

Filtered

40 candidates to 52 candidates (-30.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	5	53

Merged error: 0b

Counts

53 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (*.f64 x x) 6)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`-un-lft-identity_binary64` `associate-/r_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

1 → 21

Calls

1 calls:

6.0ms

(/.f64 (*.f64 x x) 6)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/.f64 (*.f64 x x) 6)

simplify58.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5171	140

prune17.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(*.f64 x (/.f64 x 6))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-l_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 x (/.f64 x 6))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(*.f64 x (/.f64 x 6))

simplify54.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4895	212
1	4895	212

prune16.0ms

Filtered

22 candidates to 35 candidates (-59.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	35	4	39

Merged error: 0b

Counts

39 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(/.f64 x (/.f64 6 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`associate-/r*_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`div-inv_binary64`
3×	`cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/.f64 x (/.f64 6 x))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/.f64 x (/.f64 6 x))

simplify68.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5262	677

prune30.0ms

Filtered

48 candidates to 73 candidates (-52.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	73	4	77

Merged error: 0b

Counts

77 → 4

regimes48.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample258.0ms

Algorithm

intervals

Results

173.0ms

8000×

body

valid

Details

analyze3.0ms

sample9.0ms

simplify5.0ms

prune1.0ms

localize4.0ms

rewrite12.0ms

series10.0ms

simplify34.0ms

prune38.0ms

localize4.0ms

rewrite6.0ms

series3.0ms

simplify58.0ms

prune17.0ms

localize4.0ms

rewrite8.0ms

series3.0ms

simplify54.0ms

prune16.0ms

localize4.0ms

rewrite9.0ms

series6.0ms

simplify68.0ms

prune30.0ms

regimes48.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample258.0ms

Profiling