Details

analyze481.0ms

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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample26.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify165.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	5015	16

prune6.0ms

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: 0.3b

Counts

2 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
7.7b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1843` `flip--_binary64_1884` `flip3--_binary64_1857`
10×	`*-un-lft-identity_binary64_1858`
9×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
8×	`associate-/r/_binary64_1923` `frac-times_binary64_1850`
6×	`add-cube-cbrt_binary64_1829`
5×	`associate-l_binary64_1918` `associate-r_binary64_1917`
4×	`pow1_binary64_1804` `associate-l/_binary64_1920` `associate-r/_binary64_1919`
3×	`times-frac_binary64_1853` `associate-/l*_binary64_1922`
2×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `sub-neg_binary64_1862` `distribute-lft-out--_binary64_1903` `difference-of-squares_binary64_1887` `add-log-exp_binary64_1823`
1×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `associate-/r_binary64_1921` `-commutative_binary64_1926` `div-inv_binary64_1859` `distribute-rgt-in_binary64_1901` `unswap-sqr_binary64_1886` `distribute-lft-in_binary64_1900` `pow-prod-down_binary64_1785`

Counts

2 → 61

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
9.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
76.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5063	1080

prune184.0ms

Filtered

53 candidates to 67 candidates (-26.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	3	68

Merged error: 0b

Counts

68 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y t) (-.f64 y z))
0.8b	(/.f64 1 (*.f64 (-.f64 y t) (-.f64 y z)))
7.2b	(.f64 x (/.f64 1 (.f64 (-.f64 y t) (-.f64 y z))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log_binary64_1822`
20×	`associate-r_binary64_1917`
19×	`add-cbrt-cube_binary64_1830`
18×	`add-sqr-sqrt_binary64_1843` `flip--_binary64_1884` `flip3--_binary64_1857`
16×	`associate-/r/_binary64_1923`
14×	`*-un-lft-identity_binary64_1858`
12×	`frac-times_binary64_1850`
10×	`add-cube-cbrt_binary64_1829` `prod-exp_binary64_1809` `pow1_binary64_1804`
8×	`associate-l_binary64_1918`
7×	`associate-*r/_binary64_1919`
6×	`cbrt-unprod_binary64_1827` `associate-*l/_binary64_1920` `times-frac_binary64_1853`
4×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `rec-exp_binary64_1810`
3×	`pow-prod-down_binary64_1785` `associate-/l*_binary64_1922` `add-log-exp_binary64_1823`
2×	`pow-flip_binary64_1788` `*-commutative_binary64_1926` `div-inv_binary64_1859` `unswap-sqr_binary64_1886` `sub-neg_binary64_1862` `distribute-lft-out--_binary64_1903` `difference-of-squares_binary64_1887`
1×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `associate-/r*_binary64_1921` `distribute-rgt-in_binary64_1901` `inv-pow_binary64_1780` `distribute-lft-in_binary64_1900` `un-div-inv_binary64_1860`

Counts

3 → 104

Calls

3 calls:

9.0ms	(*.f64 (-.f64 y t) (-.f64 y z))
10.0ms	(/.f64 1 (*.f64 (-.f64 y t) (-.f64 y z)))
20.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y t) (-.f64 y z))))

series167.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(*.f64 (-.f64 y t) (-.f64 y z))
66.0ms	(/.f64 1 (*.f64 (-.f64 y t) (-.f64 y z)))
78.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y t) (-.f64 y z))))

simplify70.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4984	1698
1	4984	1698

prune249.0ms

Filtered

77 candidates to 113 candidates (-46.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
2.2b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac_binary64_1853`
176×	`*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843`
88×	`add-cube-cbrt_binary64_1829`
44×	`distribute-lft-out--_binary64_1903` `difference-of-squares_binary64_1887`
24×	`associate-/l*_binary64_1922`
16×	`associate-/r/_binary64_1923`
10×	`associate-/r*_binary64_1921`
9×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
8×	`div-inv_binary64_1859` `flip--_binary64_1884` `flip3--_binary64_1857`
4×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828`
2×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `pow1_binary64_1804` `add-log-exp_binary64_1823`
1×	`associate-/l/_binary64_1924`

Counts

2 → 185

Calls

2 calls:

11.0ms	(/.f64 x (-.f64 y z))
12.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

series106.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/.f64 x (-.f64 y z))
76.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

simplify95.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5026	4779

prune362.0ms

Filtered

129 candidates to 191 candidates (-48.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	191	3	194

Merged error: 0b

Counts

194 → 3

regimes501.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	16
1	45	16

end0.0ms

sample596.0ms

Algorithm

intervals

Results

298.0ms	8000×	body	80	valid
20.0ms	412×	body	80	invalid

Details

analyze481.0ms

sample26.0ms

simplify165.0ms

prune6.0ms

localize15.0ms

rewrite21.0ms

series97.0ms

simplify40.0ms

prune184.0ms

localize14.0ms

rewrite43.0ms

series167.0ms

simplify70.0ms

prune249.0ms

localize12.0ms

rewrite35.0ms

series106.0ms

simplify95.0ms

prune362.0ms

regimes501.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample596.0ms

Profiling