Details

analyze666.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	1196	13
1	1196	13

prune26.0ms

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: 5.0b

Counts

2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
5.1b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac_binary64_1853`
180×	`add-sqr-sqrt_binary64_1843`
171×	`*-un-lft-identity_binary64_1858`
121×	`add-cube-cbrt_binary64_1829`
67×	`associate-r_binary64_1917`
25×	`distribute-lft-out--_binary64_1903` `difference-of-squares_binary64_1887`
24×	`associate-/l*_binary64_1922`
19×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
16×	`associate-/r/_binary64_1923`
10×	`div-inv_binary64_1859`
8×	`associate-/r*_binary64_1921` `flip--_binary64_1884` `flip3--_binary64_1857`
7×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828`
5×	`pow1_binary64_1804`
3×	`cbrt-unprod_binary64_1827` `associate-l_binary64_1918` `prod-exp_binary64_1809` `unswap-sqr_binary64_1886` `add-log-exp_binary64_1823`
2×	`clear-num_binary64_1861` `frac-2neg_binary64_1851`
1×	`-commutative_binary64_1926` `associate-/l/_binary64_1924` `associate-r/_binary64_1919` `pow-prod-down_binary64_1785`

Counts

3 → 228

Calls

3 calls:

6.0ms	(/.f64 2 (-.f64 y t))
10.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
22.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

series155.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/.f64 2 (-.f64 y t))
55.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
75.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

simplify99.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5414	4394

prune721.0ms

Filtered

177 candidates to 237 candidates (-33.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	230	7	237
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	230	9	239

Merged error: 0.0b

Counts

239 → 9

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(*.f64 x (/.f64 2 (-.f64 y t)))
4.3b	(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_1843`
39×	`*-un-lft-identity_binary64_1858`
34×	`times-frac_binary64_1853`
25×	`add-cube-cbrt_binary64_1829`
21×	`associate-r_binary64_1917`
19×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
8×	`associate-/r*_binary64_1921`
7×	`distribute-lft-out--_binary64_1903` `difference-of-squares_binary64_1887`
6×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828`
5×	`pow1_binary64_1804`
4×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `associate-/r/_binary64_1923` `associate-/l*_binary64_1922`
3×	`associate-l_binary64_1918` `div-inv_binary64_1859` `add-log-exp_binary64_1823`
2×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `unswap-sqr_binary64_1886` `associate-*r/_binary64_1919` `flip--_binary64_1884` `flip3--_binary64_1857`
1×	`*-commutative_binary64_1926` `associate-/l/_binary64_1924` `pow-prod-down_binary64_1785`

Counts

3 → 101

Calls

3 calls:

5.0ms	(/.f64 2 (-.f64 y t))
11.0ms	(*.f64 x (/.f64 2 (-.f64 y t)))
16.0ms	(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)

series139.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/.f64 2 (-.f64 y t))
35.0ms	(*.f64 x (/.f64 2 (-.f64 y t)))
77.0ms	(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)

simplify84.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5187	1406

prune348.0ms

Filtered

77 candidates to 110 candidates (-42.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	112	7	119

Merged error: 0b

Counts

119 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 2 x) (-.f64 y t))
4.3b	(/.f64 (/.f64 (*.f64 2 x) (-.f64 y t)) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac_binary64_1853`
36×	`*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843`
24×	`add-cube-cbrt_binary64_1829`
16×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
12×	`associate-/l*_binary64_1922`
10×	`associate-/r/_binary64_1923`
8×	`associate-/r*_binary64_1921`
7×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828`
6×	`div-inv_binary64_1859` `distribute-lft-out--_binary64_1903` `difference-of-squares_binary64_1887`
5×	`flip--_binary64_1884` `flip3--_binary64_1857`
2×	`cbrt-unprod_binary64_1827` `clear-num_binary64_1861` `frac-2neg_binary64_1851` `prod-exp_binary64_1809` `pow1_binary64_1804` `add-log-exp_binary64_1823`
1×	`associate-/l/_binary64_1924`

Counts

2 → 91

Calls

2 calls:

14.0ms	(/.f64 (*.f64 2 x) (-.f64 y t))
9.0ms	(/.f64 (/.f64 (*.f64 2 x) (-.f64 y t)) z)

series117.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/.f64 (*.f64 2 x) (-.f64 y t))
81.0ms	(/.f64 (/.f64 (*.f64 2 x) (-.f64 y t)) z)

simplify70.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5079	1739

prune304.0ms

Filtered

73 candidates to 97 candidates (-32.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0b

Counts

104 → 7

localize217.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(*.f64 x (/.f64 2 (-.f64 y t)))
4.4b	(.f64 (.f64 x (/.f64 2 (-.f64 y t))) (/.f64 1 z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64_1843`
44×	`*-un-lft-identity_binary64_1858`
40×	`add-exp-log_binary64_1822` `times-frac_binary64_1853`
34×	`associate-r_binary64_1917`
31×	`add-cbrt-cube_binary64_1830`
30×	`add-cube-cbrt_binary64_1829`
17×	`prod-exp_binary64_1809`
12×	`cbrt-unprod_binary64_1827`
10×	`pow1_binary64_1804`
8×	`div-exp_binary64_1811`
7×	`cbrt-undiv_binary64_1828` `distribute-lft-out--_binary64_1903` `difference-of-squares_binary64_1887`
5×	`associate-/r*_binary64_1921`
4×	`associate-l_binary64_1918` `associate-/r/_binary64_1923` `associate-*r/_binary64_1919` `pow-prod-down_binary64_1785`
3×	`rec-exp_binary64_1810` `div-inv_binary64_1859` `associate-/l*_binary64_1922` `add-log-exp_binary64_1823`
2×	`*-commutative_binary64_1926` `unswap-sqr_binary64_1886` `flip--_binary64_1884` `flip3--_binary64_1857`
1×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `associate-*l/_binary64_1920` `frac-times_binary64_1850` `un-div-inv_binary64_1860`

Counts

3 → 120

Calls

3 calls:

5.0ms	(/.f64 2 (-.f64 y t))
10.0ms	(*.f64 x (/.f64 2 (-.f64 y t)))
14.0ms	(.f64 (.f64 x (/.f64 2 (-.f64 y t))) (/.f64 1 z))

series142.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/.f64 2 (-.f64 y t))
42.0ms	(*.f64 x (/.f64 2 (-.f64 y t)))
75.0ms	(.f64 (.f64 x (/.f64 2 (-.f64 y t))) (/.f64 1 z))

simplify89.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5112	1691

prune325.0ms

Filtered

81 candidates to 129 candidates (-59.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	130	6	136

Merged error: 0b

Counts

136 → 6

regimes721.0ms

Accuracy

57.4% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 5.7b

bsearch72.0ms

Steps

Iters	Range	Point
11	2155890848638533/30354201441027016733116592294117482916287606860189680019559568902170379456331382784	3904331576790343/12259964326927110866866776217202473468949912977468817408	2.814061237892244e-40
10	-2941838654204233/43556142965880123323311949751266331066368	-8252201591128197/98079714615416886934934209737619787751599303819750539264	-7.066722543898828e-27

Iters

Range

Point

2155890848638533/30354201441027016733116592294117482916287606860189680019559568902170379456331382784

3904331576790343/12259964326927110866866776217202473468949912977468817408

2.814061237892244e-40

-2941838654204233/43556142965880123323311949751266331066368

-8252201591128197/98079714615416886934934209737619787751599303819750539264

-7.066722543898828e-27

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	40
1	34	40

end0.0ms

sample631.0ms

Algorithm

intervals

Results

312.0ms	8000×	body	80	valid
28.0ms	690×	body	80	invalid

Details

analyze666.0ms

sample27.0ms

simplify89.0ms

prune26.0ms

localize10.0ms

rewrite56.0ms

series155.0ms

simplify99.0ms

prune721.0ms

localize23.0ms

rewrite35.0ms

series139.0ms

simplify84.0ms

prune348.0ms

localize11.0ms

rewrite28.0ms

series117.0ms

simplify70.0ms

prune304.0ms

localize217.0ms

rewrite35.0ms

series142.0ms

simplify89.0ms

prune325.0ms

regimes721.0ms

bsearch72.0ms

simplify4.0ms

end0.0ms

sample631.0ms

Profiling