Details

analyze263.0ms

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
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

sample18.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4901	11
1	4901	11

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 v (+.f64 t1 u))
1.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

224×	`times-frac_binary64`
187×	`add-sqr-sqrt_binary64`
177×	`*-un-lft-identity_binary64`
87×	`add-cube-cbrt_binary64`
40×	`difference-of-squares_binary64`
25×	`distribute-lft-out_binary64`
21×	`associate-/l*_binary64`
20×	`distribute-lft-out--_binary64`
18×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`div-inv_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64`

Counts

3 → 196

Calls

3 calls:

7.0ms	(-.f64 -1 (/.f64 u t1))
5.0ms	(/.f64 v (+.f64 t1 u))
15.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 -1 (/.f64 u t1))
8.0ms	(/.f64 v (+.f64 t1 u))
19.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

simplify62.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5013	3730

prune194.0ms

Filtered

137 candidates to 205 candidates (-49.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	199	6	205
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	200	7	207

Merged error: 0.0b

Counts

207 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 u t1) -1)
0.0b	(/.f64 v (+.f64 t1 u))
0.3b	(/.f64 -1 (-.f64 (/.f64 u t1) -1))
0.9b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 -1 (-.f64 (/.f64 u t1) -1)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-sqr-sqrt_binary64`
72×	`*-un-lft-identity_binary64` `times-frac_binary64`
42×	`add-cube-cbrt_binary64`
24×	`associate-r_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`associate-l_binary64`
16×	`difference-of-squares_binary64`
10×	`associate-/r*_binary64`
8×	`associate-/r/_binary64` `distribute-lft-out--_binary64`
7×	`distribute-lft-out_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 154

Calls

4 calls:

8.0ms	(-.f64 (/.f64 u t1) -1)
5.0ms	(/.f64 v (+.f64 t1 u))
9.0ms	(/.f64 -1 (-.f64 (/.f64 u t1) -1))
23.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 -1 (-.f64 (/.f64 u t1) -1)))

series39.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(-.f64 (/.f64 u t1) -1)
8.0ms	(/.f64 v (+.f64 t1 u))
9.0ms	(/.f64 -1 (-.f64 (/.f64 u t1) -1))
19.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 -1 (-.f64 (/.f64 u t1) -1)))

simplify49.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5035	1889

prune149.0ms

Filtered

121 candidates to 166 candidates (-37.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	167	6	173

Merged error: 0.0b

Counts

173 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 u t1) -1)
0.7b	(/.f64 (/.f64 (neg.f64 v) (-.f64 (/.f64 u t1) -1)) (+.f64 t1 u))
2.0b	(/.f64 (neg.f64 v) (-.f64 (/.f64 u t1) -1))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

686×	`times-frac_binary64`
557×	`add-sqr-sqrt_binary64`
505×	`*-un-lft-identity_binary64`
247×	`add-cube-cbrt_binary64`
124×	`difference-of-squares_binary64`
111×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
76×	`associate-/l*_binary64`
67×	`distribute-lft-out_binary64`
62×	`distribute-lft-out--_binary64`
37×	`neg-mul-1_binary64`
14×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64` `div-sub_binary64` `distribute-frac-neg_binary64`
2×	`neg-sub0_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `flip-+_binary64`

Counts

3 → 459

Calls

3 calls:

7.0ms	(-.f64 (/.f64 u t1) -1)
25.0ms	(/.f64 (/.f64 (neg.f64 v) (-.f64 (/.f64 u t1) -1)) (+.f64 t1 u))
11.0ms	(/.f64 (neg.f64 v) (-.f64 (/.f64 u t1) -1))

series32.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(-.f64 (/.f64 u t1) -1)
19.0ms	(/.f64 (/.f64 (neg.f64 v) (-.f64 (/.f64 u t1) -1)) (+.f64 t1 u))
9.0ms	(/.f64 (neg.f64 v) (-.f64 (/.f64 u t1) -1))

simplify105.0ms

Algorithm

egg-herbie

Counts

468 → 468

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4931	9808
1	4931	9808

prune343.0ms

Filtered

280 candidates to 468 candidates (-67.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	468	0	468
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	468	6	474

Merged error: 0.0b

Counts

474 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 1 (+.f64 t1 u))
0.1b	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
2.5b	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

427×	`times-frac_binary64`
358×	`add-sqr-sqrt_binary64`
319×	`*-un-lft-identity_binary64`
156×	`add-cube-cbrt_binary64`
114×	`associate-r_binary64`
76×	`difference-of-squares_binary64`
43×	`distribute-lft-out_binary64`
38×	`distribute-lft-out--_binary64`
32×	`add-exp-log_binary64` `associate-/r/_binary64`
21×	`associate-/l*_binary64`
20×	`add-cbrt-cube_binary64`
16×	`div-inv_binary64`
14×	`flip3-+_binary64` `div-exp_binary64` `flip-+_binary64`
10×	`associate-/r*_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64`
6×	`add-log-exp_binary64`
5×	`prod-exp_binary64`
4×	`unswap-sqr_binary64`
3×	`flip3--_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64` `flip--_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

4 → 341

Calls

4 calls:

7.0ms	(-.f64 -1 (/.f64 u t1))
6.0ms	(/.f64 1 (+.f64 t1 u))
16.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
38.0ms	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

series43.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(-.f64 -1 (/.f64 u t1))
5.0ms	(/.f64 1 (+.f64 t1 u))
11.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
24.0ms	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

simplify73.0ms

Algorithm

egg-herbie

Counts

353 → 353

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5407	5541

prune249.0ms

Filtered

196 candidates to 353 candidates (-80.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	353	0	353
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	353	6	359

Merged error: 0.0b

Counts

359 → 6

regimes214.0ms

Accuracy

0% (1.3b remaining)

Error of 1.5b against oracle of 0.2b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

end0.0ms

sample436.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	80	valid
8.0ms	266×	body	80	invalid

Details

analyze263.0ms

sample18.0ms

simplify120.0ms

prune13.0ms

localize8.0ms

rewrite39.0ms

series34.0ms

simplify62.0ms

prune194.0ms

localize11.0ms

rewrite50.0ms

series39.0ms

simplify49.0ms

prune149.0ms

localize10.0ms

rewrite80.0ms

series32.0ms

simplify105.0ms

prune343.0ms

localize9.0ms

rewrite88.0ms

series43.0ms

simplify73.0ms

prune249.0ms

regimes214.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample436.0ms

Profiling