Details

analyze81.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
50%	50%	0.1%	5
62.4%	37.5%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample43.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify181.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (167.0ms)

Iter	Nodes	Cost
0	5398	16

prune7.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (/.f64 (*.f64 x y) 2))
0.0b	(/.f64 (*.f64 x y) 2)
7.9b	(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_1858`
15×	`times-frac_binary64_1853`
14×	`add-cube-cbrt_binary64_1829` `add-sqr-sqrt_binary64_1843`
10×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
7×	`associate-/r*_binary64_1921`
5×	`distribute-lft-out_binary64_1902` `add-log-exp_binary64_1823`
4×	`associate-/l*_binary64_1922`
3×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `pow1_binary64_1804`
2×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `div-inv_binary64_1859` `associate-/r/_binary64_1923` `flip3-+_binary64_1856` `flip-+_binary64_1883`
1×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809`

Counts

3 → 66

Calls

3 calls:

5.0ms	(+.f64 1 (/.f64 (*.f64 x y) 2))
4.0ms	(/.f64 (*.f64 x y) 2)
7.0ms	(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

series92.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+.f64 1 (/.f64 (*.f64 x y) 2))
14.0ms	(/.f64 (*.f64 x y) 2)
56.0ms	(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

simplify83.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5258	1187

prune309.0ms

Filtered

55 candidates to 75 candidates (-36.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	3	76

Merged error: 0b

Counts

76 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (/.f64 (*.f64 y x) 2))
0.0b	(/.f64 (*.f64 y x) 2)
0.2b	(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))
7.7b	(.f64 y (/.f64 1 (+.f64 1 (/.f64 (.f64 y x) 2))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity_binary64_1858`
31×	`add-sqr-sqrt_binary64_1843`
29×	`times-frac_binary64_1853`
24×	`add-cube-cbrt_binary64_1829`
19×	`add-exp-log_binary64_1822`
18×	`associate-r_binary64_1917`
16×	`add-cbrt-cube_binary64_1830`
8×	`distribute-lft-out_binary64_1902`
7×	`associate-/r*_binary64_1921` `pow1_binary64_1804`
6×	`add-log-exp_binary64_1823`
4×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `prod-exp_binary64_1809` `associate-/r/_binary64_1923` `associate-/l*_binary64_1922`
3×	`cbrt-unprod_binary64_1827` `associate-l_binary64_1918` `div-inv_binary64_1859` `unswap-sqr_binary64_1886` `flip3-+_binary64_1856` `flip-+_binary64_1883`
2×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `rec-exp_binary64_1810`
1×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `pow-flip_binary64_1788` `-commutative_binary64_1926` `inv-pow_binary64_1780` `associate-r/_binary64_1919` `pow-prod-down_binary64_1785` `un-div-inv_binary64_1860`

Counts

4 → 109

Calls

4 calls:

5.0ms	(+.f64 1 (/.f64 (*.f64 y x) 2))
5.0ms	(/.f64 (*.f64 y x) 2)
7.0ms	(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))
11.0ms	(.f64 y (/.f64 1 (+.f64 1 (/.f64 (.f64 y x) 2))))

series137.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+.f64 1 (/.f64 (*.f64 y x) 2))
17.0ms	(/.f64 (*.f64 y x) 2)
41.0ms	(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))
55.0ms	(.f64 y (/.f64 1 (+.f64 1 (/.f64 (.f64 y x) 2))))

simplify93.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5231	1885

prune413.0ms

Filtered

76 candidates to 121 candidates (-59.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	121	3	124

Merged error: 0b

Counts

124 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (/.f64 x (/.f64 2 y)))
0.2b	(/.f64 x (/.f64 2 y))
7.9b	(/.f64 y (+.f64 1 (/.f64 x (/.f64 2 y))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac_binary64_1853`
64×	`*-un-lft-identity_binary64_1858`
54×	`add-cube-cbrt_binary64_1829` `add-sqr-sqrt_binary64_1843`
17×	`associate-/r*_binary64_1921`
10×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
6×	`div-inv_binary64_1859` `associate-/l*_binary64_1922`
5×	`distribute-lft-out_binary64_1902` `add-log-exp_binary64_1823`
4×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828`
3×	`pow1_binary64_1804` `associate-/r/_binary64_1923`
2×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `flip3-+_binary64_1856` `flip-+_binary64_1883`
1×	`+-commutative_binary64_1925` `sum-log_binary64_1773`

Counts

3 → 115

Calls

3 calls:

19.0ms	(+.f64 1 (/.f64 x (/.f64 2 y)))
6.0ms	(/.f64 x (/.f64 2 y))
15.0ms	(/.f64 y (+.f64 1 (/.f64 x (/.f64 2 y))))

series97.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+.f64 1 (/.f64 x (/.f64 2 y)))
15.0ms	(/.f64 x (/.f64 2 y))
59.0ms	(/.f64 y (+.f64 1 (/.f64 x (/.f64 2 y))))

simplify118.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5059	2171

prune463.0ms

Filtered

95 candidates to 124 candidates (-30.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	124	3	127

Merged error: 0b

Counts

127 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 y x) 2)
0.2b	(pow.f64 (/.f64 (*.f64 y x) 2) 3)
7.9b	(/.f64 y (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 (*.f64 y x) 2) 3))))
26.1b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 y x) 2) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64_1858`
27×	`times-frac_binary64_1853`
25×	`add-cube-cbrt_binary64_1829` `add-sqr-sqrt_binary64_1843`
20×	`cbrt-prod_binary64_1825`
17×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
14×	`cube-prod_binary64_1831` `unpow-prod-down_binary64_1793`
7×	`associate-/r*_binary64_1921`
6×	`div-inv_binary64_1859`
5×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `pow1_binary64_1804`
4×	`distribute-lft-out_binary64_1902` `associate-/l*_binary64_1922` `add-log-exp_binary64_1823`
3×	`pow-unpow_binary64_1791` `rem-cube-cbrt_binary64_1834` `pow-exp_binary64_1782`
2×	`cbrt-unprod_binary64_1827` `clear-num_binary64_1861` `cube-mult_binary64_1833` `frac-2neg_binary64_1851` `prod-exp_binary64_1809` `cube-div_binary64_1832` `associate-/r/_binary64_1923` `unpow3_binary64_1802` `sqr-pow_binary64_1890`
1×	`pow1/3_binary64_1796` `rem-cbrt-cube_binary64_1835` `pow-to-exp_binary64_1783` `cbrt-div_binary64_1826` `flip3-+_binary64_1856` `flip-+_binary64_1883` `pow-pow_binary64_1786`

Counts

4 → 120

Calls

4 calls:

5.0ms	(/.f64 (*.f64 y x) 2)
5.0ms	(pow.f64 (/.f64 (*.f64 y x) 2) 3)
17.0ms	(/.f64 y (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 (*.f64 y x) 2) 3))))
3.0ms	(cbrt.f64 (pow.f64 (/.f64 (*.f64 y x) 2) 3))

series132.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/.f64 (*.f64 y x) 2)
41.0ms	(pow.f64 (/.f64 (*.f64 y x) 2) 3)
55.0ms	(/.f64 y (+.f64 1 (cbrt.f64 (pow.f64 (/.f64 (*.f64 y x) 2) 3))))
18.0ms	(cbrt.f64 (pow.f64 (/.f64 (*.f64 y x) 2) 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5099	1802

prune417.0ms

Filtered

80 candidates to 132 candidates (-65.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Merged error: 0b

Counts

135 → 3

regimes125.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	19
1	59	19

end0.0ms

sample454.0ms

Algorithm

intervals

Results

283.0ms	7995×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze81.0ms

sample43.0ms

simplify181.0ms

prune7.0ms

localize11.0ms

rewrite17.0ms

series92.0ms

simplify83.0ms

prune309.0ms

localize14.0ms

rewrite31.0ms

series137.0ms

simplify93.0ms

prune413.0ms

localize11.0ms

rewrite45.0ms

series97.0ms

simplify118.0ms

prune463.0ms

localize15.0ms

rewrite34.0ms

series132.0ms

simplify55.0ms

prune417.0ms

regimes125.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample454.0ms

Profiling