Details

analyze60.0ms

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843` `times-frac_binary64_1853`
3×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `associate-/r_binary64_1921` `associate-/l_binary64_1922`
1×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `clear-num_binary64_1861` `frac-2neg_binary64_1851` `pow1_binary64_1804` `div-inv_binary64_1859` `add-log-exp_binary64_1823`

Counts

1 → 27

Calls

1 calls:

4.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify144.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4838	540
1	4838	540

prune115.0ms

Filtered

22 candidates to 30 candidates (-36.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.2b	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (fabs.f64 y) (sqrt.f64 (fabs.f64 (-.f64 x y)))))
0.4b	(/.f64 (fabs.f64 y) (sqrt.f64 (fabs.f64 (-.f64 x y))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac_binary64_1853`
160×	`add-sqr-sqrt_binary64_1843`
158×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
150×	`sqrt-prod_binary64_1837`
28×	`associate-/r*_binary64_1921`
11×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
9×	`div-inv_binary64_1859` `associate-/l*_binary64_1922`
6×	`pow1_binary64_1804`
4×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `add-log-exp_binary64_1823`
2×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `sqrt-pow1_binary64_1839` `pow1/2_binary64_1794` `rem-sqrt-square_binary64_1846`
1×	`associate-/r/_binary64_1923`

Counts

4 → 240

Calls

4 calls:

1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
9.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (fabs.f64 y) (sqrt.f64 (fabs.f64 (-.f64 x y)))))
4.0ms	(/.f64 (fabs.f64 y) (sqrt.f64 (fabs.f64 (-.f64 x y))))

series122.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
19.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
28.0ms	(/.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) (/.f64 (fabs.f64 y) (sqrt.f64 (fabs.f64 (-.f64 x y)))))
57.0ms	(/.f64 (fabs.f64 y) (sqrt.f64 (fabs.f64 (-.f64 x y))))

simplify156.0ms

Algorithm

egg-herbie

Counts

252 → 252

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5249	7885

prune757.0ms

Filtered

116 candidates to 252 candidates (-117.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	252	0	252
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	252	4	256

Merged error: 0b

Counts

256 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (fabs.f64 y)) (cbrt.f64 (fabs.f64 y)))
0.6b	(cbrt.f64 (fabs.f64 y))
0.6b	(cbrt.f64 (fabs.f64 y))
0.6b	(cbrt.f64 (fabs.f64 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1825`
23×	`add-sqr-sqrt_binary64_1843`
15×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
11×	`pow1_binary64_1804`
9×	`pow1/3_binary64_1796`
6×	`add-exp-log_binary64_1822` `associate-l_binary64_1918` `associate-r_binary64_1917` `swap-sqr_binary64_1885`
4×	`add-cbrt-cube_binary64_1830` `unswap-sqr_binary64_1886` `add-log-exp_binary64_1823`
2×	`pow-sqr_binary64_1891` `pow-prod-up_binary64_1784` `pow-prod-down_binary64_1785`
1×	`pow2_binary64_1795` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `pow-plus_binary64_1799`

Counts

4 → 73

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (fabs.f64 y)) (cbrt.f64 (fabs.f64 y)))
1.0ms	(cbrt.f64 (fabs.f64 y))
1.0ms	(cbrt.f64 (fabs.f64 y))
1.0ms	(cbrt.f64 (fabs.f64 y))

series378.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(*.f64 (cbrt.f64 (fabs.f64 y)) (cbrt.f64 (fabs.f64 y)))
92.0ms	(cbrt.f64 (fabs.f64 y))
85.0ms	(cbrt.f64 (fabs.f64 y))
86.0ms	(cbrt.f64 (fabs.f64 y))

simplify73.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5116	748

prune280.0ms

Filtered

57 candidates to 85 candidates (-49.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.2b	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
14.3b	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac_binary64_1853`
41×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843`
32×	`cbrt-prod_binary64_1825`
26×	`cube-prod_binary64_1831` `unpow-prod-down_binary64_1793`
8×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
5×	`div-inv_binary64_1859`
4×	`pow1_binary64_1804`
3×	`pow-unpow_binary64_1791` `associate-/r_binary64_1921` `associate-/l_binary64_1922` `add-log-exp_binary64_1823`
2×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `cube-mult_binary64_1833` `rem-cube-cbrt_binary64_1834` `cube-div_binary64_1832` `pow-exp_binary64_1782` `unpow3_binary64_1802` `sqr-pow_binary64_1890`
1×	`pow1/3_binary64_1796` `clear-num_binary64_1861` `rem-cbrt-cube_binary64_1835` `frac-2neg_binary64_1851` `pow-to-exp_binary64_1783` `cbrt-div_binary64_1826` `pow-pow_binary64_1786`

Counts

3 → 115

Calls

3 calls:

5.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
14.0ms	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
5.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))

series144.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
87.0ms	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
30.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))

simplify98.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5059	2448

prune199.0ms

Filtered

63 candidates to 124 candidates (-96.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	124	4	128

Merged error: 0b

Counts

128 → 4

regimes202.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	11
1	17	11

end0.0ms

sample365.0ms

Algorithm

intervals

Results

188.0ms	8000×	body	80	valid
5.0ms	197×	body	80	invalid

Details

analyze60.0ms

sample17.0ms

simplify149.0ms

prune6.0ms

localize9.0ms

rewrite4.0ms

series36.0ms

simplify144.0ms

prune115.0ms

localize12.0ms

rewrite34.0ms

series122.0ms

simplify156.0ms

prune757.0ms

localize15.0ms

rewrite17.0ms

series378.0ms

simplify73.0ms

prune280.0ms

localize14.0ms

rewrite28.0ms

series144.0ms

simplify98.0ms

prune199.0ms

regimes202.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample365.0ms

Profiling