Details

analyze328.0ms

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

sample23.0ms

Algorithm

intervals

Results

7.0ms	235×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	80	invalid

simplify147.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	148	13
1	148	13

prune16.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp_binary64_1823`
3×	`sum-log_binary64_1773` `*-un-lft-identity_binary64_1858`
1×	`+-commutative_binary64_1925` `add-cbrt-cube_binary64_1830` `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` `associate-+r+_binary64_1909` `flip-+_binary64_1883`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

simplify48.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5234	306

prune70.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

rewrite43.0ms

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:

18.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series804.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
192.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
181.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
181.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5283	2964

prune421.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	105	6	111

Merged error: 0.0b

Counts

111 → 6

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z)))) (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod_binary64_1825`
42×	`*-un-lft-identity_binary64_1858`
40×	`add-sqr-sqrt_binary64_1843`
36×	`cbrt-div_binary64_1826`
22×	`add-cube-cbrt_binary64_1829`
12×	`swap-sqr_binary64_1885`
11×	`pow1_binary64_1804`
10×	`associate-l_binary64_1918` `associate-r_binary64_1917`
9×	`pow1/3_binary64_1796` `distribute-lft-out_binary64_1902` `unswap-sqr_binary64_1886` `flip3-+_binary64_1856` `flip-+_binary64_1883`
6×	`add-exp-log_binary64_1822`
4×	`add-cbrt-cube_binary64_1830` `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 → 118

Calls

4 calls:

21.0ms	(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z)))) (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))))
8.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
7.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
8.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

series932.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z)))) (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))))
211.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
218.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
222.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

simplify77.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5056	4476

prune666.0ms

Filtered

100 candidates to 130 candidates (-30.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	129	7	136

Merged error: 0.0b

Counts

136 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))) 4)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod_binary64_1825`
22×	`*-un-lft-identity_binary64_1858`
14×	`add-cube-cbrt_binary64_1829` `add-sqr-sqrt_binary64_1843`
12×	`cbrt-div_binary64_1826`
10×	`unpow-prod-down_binary64_1793`
5×	`add-exp-log_binary64_1822` `pow1_binary64_1804`
4×	`add-cbrt-cube_binary64_1830` `pow1/3_binary64_1796` `distribute-lft-out_binary64_1902` `add-log-exp_binary64_1823`
3×	`pow-unpow_binary64_1791` `flip3-+_binary64_1856` `flip-+_binary64_1883`
2×	`pow-pow_binary64_1786`
1×	`pow-to-exp_binary64_1783` `pow-exp_binary64_1782` `sqr-pow_binary64_1890`

Counts

4 → 76

Calls

4 calls:

12.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
7.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
7.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
10.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))) 4)

series1.2s

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
211.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
213.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
611.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))) 4)

simplify88.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4944	2366
1	4944	2366

prune456.0ms

Filtered

74 candidates to 88 candidates (-18.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	88	7	95

Merged error: 0.0b

Counts

95 → 7

regimes334.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample502.0ms

Algorithm

intervals

Results

213.0ms	7401×	body	80	valid
30.0ms	177×	body	1280	valid
18.0ms	179×	body	640	valid
9.0ms	122×	body	320	valid
5.0ms	36×	body	2560	valid
5.0ms	85×	body	160	valid
0.0ms	11×	body	80	invalid

Details

analyze328.0ms

sample23.0ms

simplify147.0ms

prune16.0ms

localize9.0ms

rewrite9.0ms

series24.0ms

simplify48.0ms

prune70.0ms

localize16.0ms

rewrite43.0ms

series804.0ms

simplify84.0ms

prune421.0ms

localize30.0ms

rewrite49.0ms

series932.0ms

simplify77.0ms

prune666.0ms

localize24.0ms

rewrite39.0ms

series1.2s

simplify88.0ms

prune456.0ms

regimes334.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample502.0ms

Profiling