Details

analyze261.0ms

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

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4901	11
1	4901	11

prune8.0ms

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: 0.6b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 v (+.f64 t1 u))
1.9b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite44.0ms

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:

11.0ms	(-.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)))

series28.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(-.f64 -1 (/.f64 u t1))
7.0ms	(/.f64 v (+.f64 t1 u))
18.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

simplify57.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5013	3730

prune135.0ms

Filtered

137 candidates to 205 candidates (-49.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	195	10	205
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	196	11	207

Merged error: 0.2b

Counts

207 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 u t1) -1)
0.0b	(/.f64 v (+.f64 t1 u))
0.4b	(/.f64 -1 (-.f64 (/.f64 u t1) -1))
1.9b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 -1 (-.f64 (/.f64 u t1) -1)))

rewrite54.0ms

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))
25.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 -1 (-.f64 (/.f64 u t1) -1)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(-.f64 (/.f64 u t1) -1)
7.0ms	(/.f64 v (+.f64 t1 u))
5.0ms	(/.f64 -1 (-.f64 (/.f64 u t1) -1))
18.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 -1 (-.f64 (/.f64 u t1) -1)))

simplify50.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5035	1889

prune101.0ms

Filtered

121 candidates to 166 candidates (-37.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	166	11	177

Merged error: 0.2b

Counts

177 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 u t1) -1)
0.6b	(/.f64 (/.f64 (neg.f64 v) (-.f64 (/.f64 u t1) -1)) (+.f64 t1 u))
3.2b	(/.f64 (neg.f64 v) (-.f64 (/.f64 u t1) -1))

rewrite82.0ms

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:

8.0ms	(-.f64 (/.f64 u t1) -1)
25.0ms	(/.f64 (/.f64 (neg.f64 v) (-.f64 (/.f64 u t1) -1)) (+.f64 t1 u))
10.0ms	(/.f64 (neg.f64 v) (-.f64 (/.f64 u t1) -1))

series28.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(-.f64 (/.f64 u t1) -1)
17.0ms	(/.f64 (/.f64 (neg.f64 v) (-.f64 (/.f64 u t1) -1)) (+.f64 t1 u))
8.0ms	(/.f64 (neg.f64 v) (-.f64 (/.f64 u t1) -1))

simplify103.0ms

Algorithm

egg-herbie

Counts

468 → 468

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4931	9808
1	4931	9808

prune218.0ms

Filtered

280 candidates to 468 candidates (-67.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	467	1	468
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	468	11	479

Merged error: 0.2b

Counts

479 → 11

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 u t1) -1)
0.5b	(/.f64 -1 (/.f64 (-.f64 (/.f64 u t1) -1) v))
0.6b	(/.f64 (/.f64 -1 (/.f64 (-.f64 (/.f64 u t1) -1) v)) (+.f64 t1 u))
3.2b	(/.f64 (-.f64 (/.f64 u t1) -1) v)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

1102×	`times-frac_binary64`
725×	`add-sqr-sqrt_binary64`
683×	`*-un-lft-identity_binary64`
415×	`add-cube-cbrt_binary64`
124×	`difference-of-squares_binary64`
80×	`associate-/l*_binary64`
72×	`distribute-lft-out_binary64`
62×	`distribute-lft-out--_binary64`
29×	`associate-/r*_binary64`
27×	`div-inv_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
8×	`associate-/r/_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64`
3×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `div-sub_binary64` `flip-+_binary64`

Counts

4 → 540

Calls

4 calls:

8.0ms	(-.f64 (/.f64 u t1) -1)
12.0ms	(/.f64 -1 (/.f64 (-.f64 (/.f64 u t1) -1) v))
29.0ms	(/.f64 (/.f64 -1 (/.f64 (-.f64 (/.f64 u t1) -1) v)) (+.f64 t1 u))
10.0ms	(/.f64 (-.f64 (/.f64 u t1) -1) v)

series47.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(-.f64 (/.f64 u t1) -1)
14.0ms	(/.f64 -1 (/.f64 (-.f64 (/.f64 u t1) -1) v))
24.0ms	(/.f64 (/.f64 -1 (/.f64 (-.f64 (/.f64 u t1) -1) v)) (+.f64 t1 u))
6.0ms	(/.f64 (-.f64 (/.f64 u t1) -1) v)

simplify105.0ms

Algorithm

egg-herbie

Counts

552 → 552

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5073	12316

prune393.0ms

Filtered

381 candidates to 552 candidates (-44.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	551	1	552
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	553	10	563

Merged error: 0.2b

Counts

563 → 10

regimes200.0ms

Accuracy

0% (1.0b remaining)

Error of 1.2b against oracle of 0.2b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	12
1	38	12

end0.0ms

sample421.0ms

Algorithm

intervals

Results

249.0ms	8000×	body	80	valid
8.0ms	249×	body	80	invalid

Details

analyze261.0ms

sample17.0ms

simplify117.0ms

prune8.0ms

localize7.0ms

rewrite44.0ms

series28.0ms

simplify57.0ms

prune135.0ms

localize9.0ms

rewrite54.0ms

series34.0ms

simplify50.0ms

prune101.0ms

localize10.0ms

rewrite82.0ms

series28.0ms

simplify103.0ms

prune218.0ms

localize8.0ms

rewrite111.0ms

series47.0ms

simplify105.0ms

prune393.0ms

regimes200.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample421.0ms

Profiling