Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

sample35.0ms

Algorithm

intervals

Results

12.0ms	65×	body	1280	valid
8.0ms	64×	body	640	valid
2.0ms	28×	body	320	valid
2.0ms	85×	body	80	valid
1.0ms	14×	body	160	valid

simplify145.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	168	9
1	168	9

prune5.0ms

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: 40.9b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
3.9b	(-.f64 (exp.f64 x) 1)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64_1843`
29×	`*-un-lft-identity_binary64_1858`
21×	`times-frac_binary64_1853`
14×	`add-cube-cbrt_binary64_1829`
10×	`difference-of-squares_binary64_1887`
7×	`associate-/l*_binary64_1922`
5×	`difference-of-sqr-1_binary64_1888` `distribute-lft-out--_binary64_1903`
4×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `add-log-exp_binary64_1823`
3×	`associate-/r*_binary64_1921`
2×	`pow1_binary64_1804` `associate-/l/_binary64_1924` `flip--_binary64_1884` `flip3--_binary64_1857`
1×	`div-exp_binary64_1811` `div-sub_binary64_1852` `cbrt-undiv_binary64_1828` `clear-num_binary64_1861` `frac-2neg_binary64_1851` `div-inv_binary64_1859` `diff-log_binary64_1774` `sub-neg_binary64_1862`

Counts

2 → 61

Calls

2 calls:

6.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
4.0ms	(-.f64 (exp.f64 x) 1)

series33.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
10.0ms	(-.f64 (exp.f64 x) 1)

simplify68.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5038	1013

prune186.0ms

Filtered

43 candidates to 67 candidates (-55.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	3	68

Merged error: 0.1b

Counts

68 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1843`
6×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `add-cube-cbrt_binary64_1829` `associate-l_binary64_1918` `pow1_binary64_1804` `-un-lft-identity_binary64_1858` `associate-r*_binary64_1917`
2×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `-commutative_binary64_1926` `unswap-sqr_binary64_1886` `associate-r/_binary64_1919` `pow-prod-down_binary64_1785` `add-log-exp_binary64_1823`
1×	`distribute-rgt-in_binary64_1901` `distribute-lft-in_binary64_1900` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

2 → 40

Calls

2 calls:

6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series56.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
13.0ms	(*.f64 x 1/6)

simplify97.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5028	440

prune122.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Merged error: 0.1b

Counts

49 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
0.3b	(*.f64 x 1/6)
4.0b	(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1843`
8×	`add-cube-cbrt_binary64_1829` `pow1_binary64_1804` `*-un-lft-identity_binary64_1858`
7×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
6×	`associate-l_binary64_1918` `associate-r_binary64_1917`
5×	`log-prod_binary64_1776`
4×	`add-log-exp_binary64_1823`
3×	`log-pow_binary64_1779`
2×	`exp-sum_binary64_1817` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `-commutative_binary64_1926` `distribute-rgt-in_binary64_1901` `unswap-sqr_binary64_1886` `distribute-lft-in_binary64_1900` `associate-r/_binary64_1919` `pow-prod-down_binary64_1785`
1×	`rem-log-exp_binary64_1821` `exp-prod_binary64_1812` `exp-to-pow_binary64_1798` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

3 → 56

Calls

3 calls:

7.0ms	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
4.0ms	(*.f64 x 1/6)
2.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2))))

series91.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
11.0ms	(*.f64 x 1/6)
44.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2))))

simplify92.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5161	683

prune152.0ms

Filtered

42 candidates to 65 candidates (-54.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	63	5	68

Merged error: 0.1b

Counts

68 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x 1/6)
0.3b	(*.f64 x 1/6)
3.8b	(log.f64 (sqrt.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))))
3.8b	(log.f64 (sqrt.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod_binary64_1776` `add-sqr-sqrt_binary64_1843`
12×	`add-cube-cbrt_binary64_1829` `pow1_binary64_1804` `*-un-lft-identity_binary64_1858`
10×	`add-exp-log_binary64_1822` `sqrt-prod_binary64_1837` `log-pow_binary64_1779`
8×	`add-cbrt-cube_binary64_1830`
6×	`associate-l_binary64_1918` `sqrt-pow1_binary64_1839` `associate-r_binary64_1917` `add-log-exp_binary64_1823`
4×	`exp-sum_binary64_1817`
2×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `distribute-rgt-in_binary64_1901` `rem-log-exp_binary64_1821` `unswap-sqr_binary64_1886` `exp-prod_binary64_1812` `distribute-lft-in_binary64_1900` `exp-to-pow_binary64_1798` `pow-prod-down_binary64_1785` `pow1/2_binary64_1794`

Counts

4 → 78

Calls

4 calls:

4.0ms	(*.f64 x 1/6)
4.0ms	(*.f64 x 1/6)
3.0ms	(log.f64 (sqrt.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))))
3.0ms	(log.f64 (sqrt.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))))

series265.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(*.f64 x 1/6)
11.0ms	(*.f64 x 1/6)
118.0ms	(log.f64 (sqrt.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))))
125.0ms	(log.f64 (sqrt.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))))

simplify112.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4960	1164
1	4960	1164

prune199.0ms

Filtered

56 candidates to 90 candidates (-60.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	90	5	95

Merged error: 0.1b

Counts

95 → 5

regimes65.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.3b

bsearch21.0ms

Steps

Iters	Range		Point
5	-3387200964479903/18446744073709551616	-5021657937777619/73786976294838206464	-0.0001756715384553179

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	54
1	36	54

end0.0ms

sample942.0ms

Algorithm

intervals

Results

435.0ms	2271×	body	1280	valid
212.0ms	1714×	body	640	valid
71.0ms	2779×	body	80	valid
70.0ms	842×	body	320	valid
21.0ms	394×	body	160	valid

Details

analyze6.0ms

sample35.0ms

simplify145.0ms

prune5.0ms

localize11.0ms

rewrite13.0ms

series33.0ms

simplify68.0ms

prune186.0ms

localize10.0ms

rewrite11.0ms

series56.0ms

simplify97.0ms

prune122.0ms

localize12.0ms

rewrite14.0ms

series91.0ms

simplify92.0ms

prune152.0ms

localize17.0ms

rewrite17.0ms

series265.0ms

simplify112.0ms

prune199.0ms

regimes65.0ms

bsearch21.0ms

simplify3.0ms

end0.0ms

sample942.0ms

Profiling