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%	98.1%	1.9%	13
0%	98.1%	1.9%	14

sample196.0ms

Algorithm

intervals

Results

41.0ms	67×	body	5120	valid
30.0ms	381×	body	80	nan
27.0ms	54×	body	2560	valid
14.0ms	23×	body	5120	exit
13.0ms	136×	body	80	invalid
8.0ms	19×	body	1280	valid
8.0ms	91×	body	80	valid
5.0ms	17×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	4×	body	640	invalid
1.0ms	1×	body	5120	invalid
0.0ms	1×	body	2560	invalid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	invalid
0.0ms	1×	body	160	invalid

simplify240.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5067	69

prune18.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 58.7b

Counts

2 → 2

localize30.0ms

Local error

Found 4 expressions with local error:

19.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
24.1b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
117×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809`
45×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828`
6×	`*-un-lft-identity_binary64_1858` `add-log-exp_binary64_1823`
4×	`add-cube-cbrt_binary64_1829` `pow1_binary64_1804` `add-sqr-sqrt_binary64_1843`
3×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `associate-/r_binary64_1921` `div-inv_binary64_1859` `times-frac_binary64_1853` `associate-/l_binary64_1922`
2×	`frac-add_binary64_1848` `sqrt-div_binary64_1838`
1×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `distribute-lft-out_binary64_1902` `flip3-+_binary64_1856` `flip--_binary64_1884` `flip-+_binary64_1883` `flip3--_binary64_1857`

Counts

4 → 143

Calls

4 calls:

13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
51.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

series672.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
113.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
114.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
336.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

simplify106.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5015	4172

prune199.0ms

Filtered

54 candidates to 155 candidates (-187.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	151	6	157

Merged error: 35.5b

Counts

157 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

6.4b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
7×	`associate-l_binary64_1918`
6×	`add-sqr-sqrt_binary64_1843`
4×	`cbrt-unprod_binary64_1827` `add-cube-cbrt_binary64_1829` `prod-exp_binary64_1809` `*-un-lft-identity_binary64_1858`
3×	`pow1_binary64_1804` `associate-r_binary64_1917` `times-frac_binary64_1853`
2×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828`
1×	`-commutative_binary64_1926` `div-inv_binary64_1859` `associate-l/_binary64_1920` `unswap-sqr_binary64_1886` `mul0-rgt_binary64_1879` `pow-prod-down_binary64_1785` `add-log-exp_binary64_1823`

Counts

1 → 28

Calls

1 calls:

10.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

simplify55.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5661	110

prune94.0ms

Filtered

21 candidates to 31 candidates (-47.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	31	6	37

Merged error: 33.8b

Counts

37 → 6

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify11.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune27.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Merged error: 33.8b

Counts

6 → 6

localize40.0ms

Local error

Found 4 expressions with local error:

19.0b	(/.f64 (.f64 D D) (/.f64 (.f64 c0 (.f64 d d)) (.f64 w h)))
19.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.8b	(+.f64 (/.f64 1 (/.f64 (.f64 D D) (/.f64 (.f64 c0 (.f64 d d)) (.f64 w h)))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

207×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
103×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809`
56×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828`
9×	`*-un-lft-identity_binary64_1858` `times-frac_binary64_1853`
7×	`associate-/r*_binary64_1921`
6×	`add-cube-cbrt_binary64_1829` `div-inv_binary64_1859` `add-sqr-sqrt_binary64_1843` `add-log-exp_binary64_1823`
4×	`pow1_binary64_1804`
3×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `associate-/l*_binary64_1922`
2×	`distribute-lft-out_binary64_1902` `frac-add_binary64_1848` `sqrt-div_binary64_1838`
1×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `associate-/r/_binary64_1923` `flip3-+_binary64_1856` `flip--_binary64_1884` `flip-+_binary64_1883` `flip3--_binary64_1857`

Counts

4 → 151

Calls

4 calls:

12.0ms	(/.f64 (.f64 D D) (/.f64 (.f64 c0 (.f64 d d)) (.f64 w h)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
65.0ms	(+.f64 (/.f64 1 (/.f64 (.f64 D D) (/.f64 (.f64 c0 (.f64 d d)) (.f64 w h)))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))))

series614.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/.f64 (.f64 D D) (/.f64 (.f64 c0 (.f64 d d)) (.f64 w h)))
109.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
108.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
304.0ms	(+.f64 (/.f64 1 (/.f64 (.f64 D D) (/.f64 (.f64 c0 (.f64 d d)) (.f64 w h)))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))))

simplify112.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5153	4518

prune177.0ms

Filtered

65 candidates to 163 candidates (-150.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	162	7	169

Merged error: 33.2b

Counts

169 → 7

regimes974.0ms

Accuracy

0% (3.0b remaining)

Error of 33.2b against oracle of 30.2b and baseline of 33.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms

sample5.9s

Algorithm

intervals

Results

1.4s	2340×	body	5120	valid
1.0s	12636×	body	80	nan
826.0ms	1691×	body	2560	valid
408.0ms	626×	body	5120	exit
365.0ms	4319×	body	80	invalid
339.0ms	839×	body	1280	valid
205.0ms	2444×	body	80	valid
137.0ms	410×	body	640	valid
45.0ms	191×	body	320	valid
26.0ms	65×	body	1280	invalid
22.0ms	45×	body	2560	invalid
14.0ms	85×	body	160	valid
13.0ms	42×	body	640	invalid
6.0ms	24×	body	320	invalid
4.0ms	7×	body	5120	invalid
2.0ms	14×	body	160	invalid

Details

analyze2.0s

sample196.0ms

simplify240.0ms

prune18.0ms

localize30.0ms

rewrite102.0ms

series672.0ms

simplify106.0ms

prune199.0ms

localize7.0ms

rewrite11.0ms

series2.0ms

simplify55.0ms

prune94.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify11.0ms

prune27.0ms

localize40.0ms

rewrite116.0ms

series614.0ms

simplify112.0ms

prune177.0ms

regimes974.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.9s

Profiling