Details

analyze39.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	689	7
1	689	7

prune2.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
19×	`difference-of-squares_binary64`
14×	`add-cube-cbrt_binary64`
13×	`distribute-lft-out--_binary64`
6×	`associate-/r*_binary64`
5×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 58

Calls

1 calls:

10.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

simplify71.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4879	755
1	4879	755

prune31.0ms

Filtered

39 candidates to 61 candidates (-56.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	3	62

Merged error: 0b

Counts

62 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 1 y))
0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
0.0b	(/.f64 y (-.f64 1 y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity_binary64`
69×	`add-sqr-sqrt_binary64`
56×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
24×	`difference-of-squares_binary64`
21×	`distribute-lft-out--_binary64`
12×	`associate-/r*_binary64`
8×	`associate-/r/_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`div-inv_binary64`
3×	`pow1_binary64` `distribute-rgt-out--_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `sub-div_binary64` `frac-sub_binary64`

Counts

3 → 111

Calls

3 calls:

6.0ms	(/.f64 x (-.f64 1 y))
37.0ms	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
7.0ms	(/.f64 y (-.f64 1 y))

series19.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 x (-.f64 1 y))
9.0ms	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
3.0ms	(/.f64 y (-.f64 1 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5033	1307

prune63.0ms

Filtered

88 candidates to 120 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	120	3	123

Merged error: 0b

Counts

123 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.0b	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
0.2b	(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

405×	`*-un-lft-identity_binary64`
349×	`add-sqr-sqrt_binary64`
282×	`sqrt-prod_binary64`
270×	`times-frac_binary64`
127×	`difference-of-squares_binary64`
117×	`distribute-lft-out--_binary64`
101×	`add-cube-cbrt_binary64`
67×	`swap-sqr_binary64`
39×	`associate-r_binary64` `associate-l_binary64`
21×	`pow1_binary64`
14×	`associate-/r/_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`unswap-sqr_binary64`
8×	`flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
7×	`div-inv_binary64`
6×	`associate-/r*_binary64` `sqrt-div_binary64`
5×	`pow-prod-up_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `rem-sqrt-square_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-/l/_binary64`
1×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `rem-square-sqrt_binary64` `associate-r/_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 336

Calls

4 calls:

9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
10.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
10.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
48.0ms	(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))

series73.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
27.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
33.0ms	(sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))
7.0ms	(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))

simplify79.0ms

Algorithm

egg-herbie

Counts

348 → 348

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5092	4856

prune158.0ms

Filtered

190 candidates to 348 candidates (-83.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	348	0	348
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	348	3	351

Merged error: 0b

Counts

351 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (-.f64 x y) (*.f64 x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
2×	`sum-log_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+l-_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

1 → 14

Calls

1 calls:

7.0ms

(+.f64 (-.f64 x y) (*.f64 x y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(+.f64 (-.f64 x y) (*.f64 x y))

simplify57.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5261	165

prune7.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	17	3	20

Merged error: 0b

Counts

20 → 3

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	11
1	26	11

end0.0ms

sample303.0ms

Algorithm

intervals

Results

174.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid

Details

analyze39.0ms

sample12.0ms

simplify42.0ms

prune2.0ms

localize5.0ms

rewrite12.0ms

series7.0ms

simplify71.0ms

prune31.0ms

localize6.0ms

rewrite55.0ms

series19.0ms

simplify57.0ms

prune63.0ms

localize7.0ms

rewrite102.0ms

series73.0ms

simplify79.0ms

prune158.0ms

localize4.0ms

rewrite8.0ms

series5.0ms

simplify57.0ms

prune7.0ms

regimes71.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample303.0ms

Profiling