Details

analyze600.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample27.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	57×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

prune8.0ms

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

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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` `*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5007	208

prune55.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
1.2b	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
3.3b	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
34.6b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64_1858`
15×	`add-cube-cbrt_binary64_1829` `add-sqr-sqrt_binary64_1843` `times-frac_binary64_1853`
11×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
9×	`pow1_binary64_1804`
8×	`distribute-rgt-in_binary64_1901` `distribute-lft-in_binary64_1900` `sub-neg_binary64_1862` `add-log-exp_binary64_1823`
5×	`distribute-lft-out_binary64_1902` `associate-/l*_binary64_1922` `sum-cubes_binary64_1854`
4×	`associate-*r/_binary64_1919` `flip3-+_binary64_1856` `associate-+r+_binary64_1909` `flip-+_binary64_1883`
3×	`cbrt-unprod_binary64_1827` `associate-l_binary64_1918` `associate-/r*_binary64_1921` `prod-exp_binary64_1809` `pow-prod-down_binary64_1785`
2×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `associate-/r/_binary64_1923` `associate-/l/_binary64_1924`
1×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `clear-num_binary64_1861` `frac-2neg_binary64_1851` `-commutative_binary64_1926` `div-inv_binary64_1859` `associate-r*_binary64_1917` `flip--_binary64_1884` `flip3--_binary64_1857`

Counts

4 → 91

Calls

4 calls:

9.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
8.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
8.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
16.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

series520.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
181.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
66.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
175.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

simplify72.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5769	4052

prune267.0ms

Filtered

73 candidates to 103 candidates (-41.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	103	2	105

Merged error: 0.0b

Counts

105 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
1.2b	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
3.3b	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
34.6b	(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y)))))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1843`
18×	`*-un-lft-identity_binary64_1858`
16×	`add-exp-log_binary64_1822` `associate-r_binary64_1917`
14×	`add-cbrt-cube_binary64_1830`
13×	`add-cube-cbrt_binary64_1829`
11×	`pow1_binary64_1804` `times-frac_binary64_1853`
8×	`associate-l_binary64_1918` `distribute-rgt-in_binary64_1901` `distribute-lft-in_binary64_1900` `sub-neg_binary64_1862` `add-log-exp_binary64_1823`
6×	`prod-exp_binary64_1809`
5×	`cbrt-unprod_binary64_1827` `associate-*r/_binary64_1919` `flip3-+_binary64_1856` `flip-+_binary64_1883`
4×	`pow-prod-down_binary64_1785` `associate-+r+_binary64_1909`
3×	`unswap-sqr_binary64_1886`
2×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `distribute-lft-out_binary64_1902` `-commutative_binary64_1926` `associate-l/_binary64_1920` `associate-/r/_binary64_1923` `frac-times_binary64_1850` `sum-cubes_binary64_1854`
1×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `rec-exp_binary64_1810` `div-inv_binary64_1859` `flip--_binary64_1884` `un-div-inv_binary64_1860` `flip3--_binary64_1857`

Counts

4 → 95

Calls

4 calls:

9.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
7.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
8.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
26.0ms	(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y)))))))

series510.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
179.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
63.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
168.0ms	(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y)))))))

simplify126.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5948	3621

prune261.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Merged error: 0.0b

Counts

109 → 2

regimes497.0ms

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	11	10
1	11	10

end0.0ms

sample588.0ms

Algorithm

intervals

Results

237.0ms	8000×	body	80	valid
38.0ms	1381×	body	80	invalid

Details

analyze600.0ms

sample27.0ms

simplify12.0ms

prune8.0ms

localize14.0ms

rewrite5.0ms

series40.0ms

simplify83.0ms

prune55.0ms

localize25.0ms

rewrite44.0ms

series520.0ms

simplify72.0ms

prune267.0ms

localize28.0ms

rewrite54.0ms

series510.0ms

simplify126.0ms

prune261.0ms

regimes497.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample588.0ms

Profiling