Details

analyze20.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample25.0ms

Algorithm

intervals

Results

12.0ms	251×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	1×	body	640	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	159	12
1	159	12

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

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64_1858` `add-log-exp_binary64_1823`
1×	`+-commutative_binary64_1925` `add-cbrt-cube_binary64_1830` `sum-log_binary64_1773` `add-exp-log_binary64_1822` `add-cube-cbrt_binary64_1829` `pow1_binary64_1804` `distribute-lft-out_binary64_1902` `add-sqr-sqrt_binary64_1843` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

simplify92.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5434	259

prune60.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_1825`
35×	`*-un-lft-identity_binary64_1858`
23×	`add-sqr-sqrt_binary64_1843`
18×	`cbrt-div_binary64_1826`
15×	`add-cube-cbrt_binary64_1829`
11×	`pow1_binary64_1804`
9×	`pow1/3_binary64_1796` `distribute-lft-out_binary64_1902` `flip3-+_binary64_1856` `swap-sqr_binary64_1885` `flip-+_binary64_1883`
7×	`associate-l_binary64_1918` `associate-r_binary64_1917`
6×	`add-exp-log_binary64_1822`
4×	`add-cbrt-cube_binary64_1830` `unswap-sqr_binary64_1886` `frac-times_binary64_1850` `add-log-exp_binary64_1823`
2×	`pow-sqr_binary64_1891` `associate-l/_binary64_1920` `associate-r/_binary64_1919` `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 → 95

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
5.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
24.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

series439.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
102.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
101.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
132.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

simplify97.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4930	3256
1	4930	3256

prune423.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Merged error: 0b

Counts

110 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_1825`
35×	`*-un-lft-identity_binary64_1858`
23×	`add-sqr-sqrt_binary64_1843`
18×	`cbrt-div_binary64_1826`
15×	`add-cube-cbrt_binary64_1829`
11×	`pow1_binary64_1804`
9×	`pow1/3_binary64_1796` `distribute-lft-out_binary64_1902` `flip3-+_binary64_1856` `swap-sqr_binary64_1885` `flip-+_binary64_1883`
7×	`associate-l_binary64_1918` `associate-r_binary64_1917`
6×	`add-exp-log_binary64_1822`
4×	`add-cbrt-cube_binary64_1830` `unswap-sqr_binary64_1886` `frac-times_binary64_1850` `add-log-exp_binary64_1823`
2×	`pow-sqr_binary64_1891` `associate-l/_binary64_1920` `associate-r/_binary64_1919` `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 → 95

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
5.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
10.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
16.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

series453.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
105.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
108.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
131.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

simplify98.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4930	3256
1	4930	3256

prune425.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	107	5	112

Merged error: 0b

Counts

112 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.3b	(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod_binary64_1825`
18×	`*-un-lft-identity_binary64_1858`
10×	`add-cube-cbrt_binary64_1829` `add-sqr-sqrt_binary64_1843`
8×	`sqrt-prod_binary64_1837` `cbrt-div_binary64_1826`
4×	`add-cbrt-cube_binary64_1830` `pow1/3_binary64_1796` `add-exp-log_binary64_1822` `pow1_binary64_1804` `distribute-lft-out_binary64_1902` `sqrt-div_binary64_1838` `flip3-+_binary64_1856` `flip-+_binary64_1883` `add-log-exp_binary64_1823`

Counts

4 → 62

Calls

4 calls:

6.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
6.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
5.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
5.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
107.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
104.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
111.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify67.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5115	2270

prune317.0ms

Filtered

62 candidates to 74 candidates (-19.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	74	5	79

Merged error: 0b

Counts

79 → 5

regimes257.0ms

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	19	12
1	19	12

end0.0ms

sample398.0ms

Algorithm

intervals

Results

196.0ms	7682×	body	80	valid
13.0ms	112×	body	1280	valid
8.0ms	87×	body	640	valid
6.0ms	42×	body	2560	valid
4.0ms	56×	body	320	valid
1.0ms	21×	body	160	valid

Details

analyze20.0ms

sample25.0ms

simplify21.0ms

prune7.0ms

localize9.0ms

rewrite6.0ms

series19.0ms

simplify92.0ms

prune60.0ms

localize15.0ms

rewrite44.0ms

series439.0ms

simplify97.0ms

prune423.0ms

localize19.0ms

rewrite39.0ms

series453.0ms

simplify98.0ms

prune425.0ms

localize21.0ms

rewrite24.0ms

series433.0ms

simplify67.0ms

prune317.0ms

regimes257.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample398.0ms

Profiling