Details

analyze79.0ms

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
12.5%	87.4%	0.1%	5
46.8%	53.1%	0.1%	6
70.2%	29.7%	0.1%	7
76.5%	23.4%	0.1%	8
83.5%	16.4%	0.1%	9
87%	12.9%	0.1%	10
91.1%	8.8%	0.1%	11
93.2%	6.7%	0.1%	12
95.4%	4.5%	0.1%	13
96.5%	3.4%	0.1%	14

sample15.0ms

Algorithm

intervals

Results

9.0ms

256×

body

128

valid

simplify129.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4952	25
1	4952	25

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: 19.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.1b	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
19.1b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

60×	`flip3-+_binary64` `flip-+_binary64` `frac-times_binary64`
31×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
30×	`associate-*l/_binary64`
27×	`*-un-lft-identity_binary64`
26×	`associate-/r/_binary64`
18×	`associate-*r/_binary64`
15×	`pow1_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`distribute-lft-out_binary64` `associate-r_binary64`
8×	`add-cube-cbrt_binary64`
6×	`swap-sqr_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`associate-l_binary64`
4×	`pow-prod-down_binary64`
3×	`add-log-exp_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

3 → 140

Calls

3 calls:

9.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
18.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
24.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

series300.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
64.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
210.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

simplify90.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4981	3756
1	4981	3756

prune144.0ms

Filtered

92 candidates to 149 candidates (-62.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	137	12	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	12	150

Merged error: 7.8b

Counts

150 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (+.f64 x y))
0.1b	(.f64 (+.f64 (.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 (+.f64 x y) 1))
3.4b	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
19.1b	(/.f64 (.f64 x y) (.f64 (+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y))) (+.f64 (+.f64 x y) 1)))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

62×	`associate-*r/_binary64`
50×	`flip3-+_binary64` `flip-+_binary64`
28×	`frac-add_binary64`
24×	`frac-times_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`associate-*l/_binary64`
9×	`associate-r_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-exp_binary64`
3×	`distribute-rgt-out_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 128

Calls

4 calls:

6.0ms	(*.f64 y (+.f64 x y))
17.0ms	(.f64 (+.f64 (.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 (+.f64 x y) 1))
186.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
18.0ms	(/.f64 (.f64 x y) (.f64 (+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y))) (+.f64 (+.f64 x y) 1)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(*.f64 y (+.f64 x y))
75.0ms	(.f64 (+.f64 (.f64 x (+.f64 x y)) (*.f64 y (+.f64 x y))) (+.f64 (+.f64 x y) 1))
38.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
237.0ms	(/.f64 (.f64 x y) (.f64 (+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y))) (+.f64 (+.f64 x y) 1)))

simplify92.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4974	4182
1	4974	4182

prune134.0ms

Filtered

107 candidates to 140 candidates (-30.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	6	5	11
Picked	0	1	1
Done	0	0	0
Total	143	9	152

Merged error: 6.9b

Counts

152 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 (+.f64 x y) 1))
0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.1b	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) 1)))
20.9b	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
31×	`add-cube-cbrt_binary64`
27×	`distribute-lft-out_binary64`
25×	`associate-r_binary64`
20×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
19×	`associate-l_binary64`
13×	`pow1_binary64` `frac-times_binary64`
10×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
7×	`associate-r/_binary64` `associate-l/_binary64`
6×	`associate-/r_binary64` `swap-sqr_binary64` `associate-/l_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`pow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

4 → 170

Calls

4 calls:

8.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
9.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
30.0ms	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) 1)))
10.0ms	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
28.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
205.0ms	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) 1)))
93.0ms	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))

simplify106.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4958	3154
1	4958	3154

prune134.0ms

Filtered

116 candidates to 182 candidates (-56.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	175	7	182
Fresh	6	1	7
Picked	1	0	1
Done	1	0	1
Total	183	8	191

Merged error: 0.0b

Counts

191 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 (+.f64 x y) 1))
0.0b	(/.f64 x (+.f64 x y))
0.1b	(/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y))
0.1b	(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) 1)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

313×	`*-un-lft-identity_binary64`
303×	`times-frac_binary64`
163×	`add-sqr-sqrt_binary64`
142×	`add-cube-cbrt_binary64`
89×	`distribute-lft-out_binary64`
78×	`associate-l_binary64`
34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
28×	`associate-/r/_binary64`
24×	`associate-/l*_binary64`
21×	`associate-r_binary64`
14×	`flip3-+_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
13×	`associate-/r*_binary64`
6×	`pow1_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 310

Calls

4 calls:

8.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
5.0ms	(/.f64 x (+.f64 x y))
12.0ms	(/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y))
49.0ms	(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) 1)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
49.0ms	(/.f64 x (+.f64 x y))
95.0ms	(/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y))
220.0ms	(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) 1)))

simplify128.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4973	7300
1	4973	7300

prune193.0ms

Filtered

192 candidates to 322 candidates (-67.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	318	4	322
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	323	7	330

Merged error: 0b

Counts

330 → 7

regimes35.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	13	25

end0.0ms

sample406.0ms

Algorithm

intervals

Results

277.0ms

8000×

body

128

valid

Details

analyze79.0ms

sample15.0ms

simplify129.0ms

prune1.0ms

localize8.0ms

rewrite70.0ms

series300.0ms

simplify90.0ms

prune144.0ms

localize11.0ms

rewrite248.0ms

series387.0ms

simplify92.0ms

prune134.0ms

localize9.0ms

rewrite76.0ms

series385.0ms

simplify106.0ms

prune134.0ms

localize8.0ms

rewrite120.0ms

series424.0ms

simplify128.0ms

prune193.0ms

regimes35.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample406.0ms

Profiling