Details

analyze2.0s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

sample50.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
2.0ms	25×	body	80	invalid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	5330	55

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 30.7b

Counts

2 → 1

localize190.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
0.1b	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
2.4b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
29.0b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_1843`
15×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
12×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
10×	`pow1_binary64_1804`
9×	`associate-l_binary64_1918` `associate-r_binary64_1917`
5×	`flip3-+_binary64_1856` `flip-+_binary64_1883`
4×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `associate-l/_binary64_1920` `associate-r/_binary64_1919` `add-log-exp_binary64_1823`
3×	`associate-/r_binary64_1921` `-commutative_binary64_1926` `unswap-sqr_binary64_1886` `times-frac_binary64_1853` `pow-prod-down_binary64_1785`
2×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `associate-/r/_binary64_1923` `associate-/l/_binary64_1924`
1×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `div-inv_binary64_1859` `distribute-rgt-in_binary64_1901` `distribute-lft-in_binary64_1900` `associate-/l*_binary64_1922`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
7.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
18.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
32.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))

series709.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
37.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
172.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
478.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))

simplify89.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5038	3096

prune439.0ms

Filtered

78 candidates to 99 candidates (-26.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	8	100

Merged error: 1.5b

Counts

100 → 8

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b	(.f64 (.f64 b y) 4503599627370496/2737158995491925)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `pow1_binary64_1804`
3×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `associate-r_binary64_1917` `pow-prod-down_binary64_1785`
2×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843`
1×	`associate-l_binary64_1918` `*-commutative_binary64_1926` `add-log-exp_binary64_1823`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 b y) 4503599627370496/2737158995491925)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(*.f64 (*.f64 b y) 4503599627370496/2737158995491925)

simplify78.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4960	179
1	4960	179

prune136.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	21	8	29

Merged error: 1.5b

Counts

29 → 8

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b

(*.f64 (*.f64 (*.f64 y b) (*.f64 (cbrt.f64 4503599627370496/2737158995491925) (cbrt.f64 4503599627370496/2737158995491925))) (cbrt.f64 4503599627370496/2737158995491925))

0.4b

(*.f64 (*.f64 y b) (*.f64 (cbrt.f64 4503599627370496/2737158995491925) (cbrt.f64 4503599627370496/2737158995491925)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log_binary64_1822` `pow1_binary64_1804`
21×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `pow-prod-down_binary64_1785`
19×	`add-cbrt-cube_binary64_1830`
7×	`associate-r_binary64_1917`
4×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843`
3×	`cbrt-prod_binary64_1825`
2×	`associate-l_binary64_1918` `*-commutative_binary64_1926` `add-log-exp_binary64_1823`

Counts

2 → 52

Calls

2 calls:

13.0ms

(*.f64 (*.f64 (*.f64 y b) (*.f64 (cbrt.f64 4503599627370496/2737158995491925) (cbrt.f64 4503599627370496/2737158995491925))) (cbrt.f64 4503599627370496/2737158995491925))

9.0ms

(*.f64 (*.f64 y b) (*.f64 (cbrt.f64 4503599627370496/2737158995491925) (cbrt.f64 4503599627370496/2737158995491925)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms

(*.f64 (*.f64 (*.f64 y b) (*.f64 (cbrt.f64 4503599627370496/2737158995491925) (cbrt.f64 4503599627370496/2737158995491925))) (cbrt.f64 4503599627370496/2737158995491925))

46.0ms

(*.f64 (*.f64 y b) (*.f64 (cbrt.f64 4503599627370496/2737158995491925) (cbrt.f64 4503599627370496/2737158995491925)))

simplify126.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4930	643
1	4930	643

prune225.0ms

Filtered

28 candidates to 58 candidates (-107.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	57	9	66

Merged error: 1.5b

Counts

66 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 b (.f64 y (pow.f64 (cbrt.f64 4503599627370496/2737158995491925) 5/2)))
0.3b	(*.f64 y (pow.f64 (cbrt.f64 4503599627370496/2737158995491925) 5/2))
0.4b	(.f64 (.f64 b (*.f64 y (pow.f64 (cbrt.f64 4503599627370496/2737158995491925) 5/2))) (sqrt.f64 (cbrt.f64 4503599627370496/2737158995491925)))
1.0b	(pow.f64 (cbrt.f64 4503599627370496/2737158995491925) 5/2)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log_binary64_1822`
22×	`prod-exp_binary64_1809` `add-sqr-sqrt_binary64_1843`
20×	`add-cbrt-cube_binary64_1830` `associate-r_binary64_1917`
15×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
14×	`unpow-prod-down_binary64_1793`
12×	`pow1_binary64_1804`
10×	`cbrt-unprod_binary64_1827` `cbrt-prod_binary64_1825`
7×	`associate-l_binary64_1918`
6×	`sqrt-prod_binary64_1837`
4×	`pow-to-exp_binary64_1783` `unswap-sqr_binary64_1886` `pow-prod-down_binary64_1785` `pow-exp_binary64_1782` `add-log-exp_binary64_1823`
3×	`pow-unpow_binary64_1791` `*-commutative_binary64_1926` `sqr-pow_binary64_1890`
2×	`pow-pow_binary64_1786`
1×	`pow1/3_binary64_1796`

Counts

4 → 97

Calls

4 calls:

6.0ms	(.f64 b (.f64 y (pow.f64 (cbrt.f64 4503599627370496/2737158995491925) 5/2)))
7.0ms	(*.f64 y (pow.f64 (cbrt.f64 4503599627370496/2737158995491925) 5/2))
12.0ms	(.f64 (.f64 b (*.f64 y (pow.f64 (cbrt.f64 4503599627370496/2737158995491925) 5/2))) (sqrt.f64 (cbrt.f64 4503599627370496/2737158995491925)))
3.0ms	(pow.f64 (cbrt.f64 4503599627370496/2737158995491925) 5/2)

series255.0ms

Counts

4 → 10

Calls

4 calls:

107.0ms	(.f64 b (.f64 y (pow.f64 (cbrt.f64 4503599627370496/2737158995491925) 5/2)))
105.0ms	(*.f64 y (pow.f64 (cbrt.f64 4503599627370496/2737158995491925) 5/2))
42.0ms	(.f64 (.f64 b (*.f64 y (pow.f64 (cbrt.f64 4503599627370496/2737158995491925) 5/2))) (sqrt.f64 (cbrt.f64 4503599627370496/2737158995491925)))
0.0ms	(pow.f64 (cbrt.f64 4503599627370496/2737158995491925) 5/2)

simplify91.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5940	1509

prune405.0ms

Filtered

72 candidates to 107 candidates (-48.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	108	8	116

Merged error: 1.5b

Counts

116 → 8

regimes1.4s

Accuracy

93.6% (1.5b remaining)

Error of 4.5b against oracle of 3.0b and baseline of 26.3b

bsearch96.0ms

Steps

Iters	Range	Point
8	169673248146347799179008951165483053219840	154702767333670348024655792352295437887078400	2.6584167826175276e+43
9	-107811554654019077167564789552039277730484128317440	-104004858796630541389393970328175116288000	-9.960192477645993e+49

Iters

Range

Point

169673248146347799179008951165483053219840

154702767333670348024655792352295437887078400

2.6584167826175276e+43

-107811554654019077167564789552039277730484128317440

-104004858796630541389393970328175116288000

-9.960192477645993e+49

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	106	97
1	106	97

end0.0ms

sample1.2s

Algorithm

intervals

Results

727.0ms	8000×	body	80	valid
82.0ms	902×	body	80	invalid

Details

analyze2.0s

sample50.0ms

simplify117.0ms

prune15.0ms

localize190.0ms

rewrite80.0ms

series709.0ms

simplify89.0ms

prune439.0ms

localize8.0ms

rewrite5.0ms

series18.0ms

simplify78.0ms

prune136.0ms

localize15.0ms

rewrite24.0ms

series82.0ms

simplify126.0ms

prune225.0ms

localize20.0ms

rewrite31.0ms

series255.0ms

simplify91.0ms

prune405.0ms

regimes1.4s

bsearch96.0ms

simplify4.0ms

end0.0ms

sample1.2s

Profiling