Details

analyze233.0ms

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

sample20.0ms

Algorithm

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	110	16
1	110	16

prune2.0ms

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: 7.5b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (*.f64 z z))
4.0b	(.f64 y (+.f64 1 (.f64 z z)))
4.4b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac_binary64`
22×	`add-exp-log_binary64`
21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
17×	`add-cbrt-cube_binary64`
13×	`associate-/l*_binary64`
8×	`div-exp_binary64`
6×	`cbrt-undiv_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`associate-*r/_binary64` `prod-exp_binary64`
3×	`flip3-+_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `associate-l_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`associate-/r/_binary64` `rec-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 83

Calls

3 calls:

3.0ms	(+.f64 1 (*.f64 z z))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))
10.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))

series208.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+.f64 1 (*.f64 z z))
66.0ms	(.f64 y (+.f64 1 (.f64 z z)))
97.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))

simplify85.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5519	1422

prune84.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 5.9b

Counts

93 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (*.f64 z z))
0.2b	(/.f64 (/.f64 1 x) y)
6.7b	(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac_binary64`
229×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
56×	`associate-/l*_binary64`
22×	`add-exp-log_binary64` `div-inv_binary64`
17×	`add-cbrt-cube_binary64`
12×	`div-exp_binary64`
9×	`cbrt-undiv_binary64`
6×	`associate-/r*_binary64`
5×	`add-log-exp_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip-+_binary64`
1×	`+-commutative_binary64` `sum-log_binary64`

Counts

3 → 277

Calls

3 calls:

3.0ms	(+.f64 1 (*.f64 z z))
7.0ms	(/.f64 (/.f64 1 x) y)
16.0ms	(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+.f64 1 (*.f64 z z))
19.0ms	(/.f64 (/.f64 1 x) y)
95.0ms	(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))

simplify148.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5184	8040

prune249.0ms

Filtered

191 candidates to 286 candidates (-49.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	283	3	286
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	285	9	294

Merged error: 5.9b

Counts

294 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (*.f64 z z))
0.4b	(/.f64 -1 (*.f64 x y))
6.7b	(/.f64 (/.f64 -1 (.f64 x y)) (-.f64 -1 (.f64 z z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac_binary64`
32×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-/l*_binary64`
9×	`difference-of-squares_binary64`
7×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64`
3×	`pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64`

Counts

3 → 91

Calls

3 calls:

3.0ms	(-.f64 -1 (*.f64 z z))
4.0ms	(/.f64 -1 (*.f64 x y))
9.0ms	(/.f64 (/.f64 -1 (.f64 x y)) (-.f64 -1 (.f64 z z)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(-.f64 -1 (*.f64 z z))
25.0ms	(/.f64 -1 (*.f64 x y))
101.0ms	(/.f64 (/.f64 -1 (.f64 x y)) (-.f64 -1 (.f64 z z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5572	1892

prune84.0ms

Filtered

76 candidates to 100 candidates (-31.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	102	7	109

Merged error: 5.9b

Counts

109 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (*.f64 z z))
0.2b	(/.f64 (/.f64 1 x) y)
0.8b	(/.f64 1 (+.f64 1 (*.f64 z z)))
6.1b	(.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 (+.f64 1 (.f64 z z))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

182×	`times-frac_binary64`
136×	`add-sqr-sqrt_binary64`
103×	`*-un-lft-identity_binary64`
96×	`add-cube-cbrt_binary64`
54×	`add-exp-log_binary64`
43×	`associate-l_binary64`
32×	`add-cbrt-cube_binary64`
21×	`div-exp_binary64`
16×	`associate-/l*_binary64`
15×	`associate-r_binary64`
13×	`cbrt-undiv_binary64`
12×	`unswap-sqr_binary64` `prod-exp_binary64`
11×	`div-inv_binary64`
9×	`rec-exp_binary64`
7×	`pow1_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64`
4×	`associate-/r/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `+-commutative_binary64` `pow-flip_binary64` `frac-times_binary64` `associate-l/_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 215

Calls

4 calls:

3.0ms	(+.f64 1 (*.f64 z z))
7.0ms	(/.f64 (/.f64 1 x) y)
5.0ms	(/.f64 1 (+.f64 1 (*.f64 z z)))
25.0ms	(.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 (+.f64 1 (.f64 z z))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+.f64 1 (*.f64 z z))
19.0ms	(/.f64 (/.f64 1 x) y)
36.0ms	(/.f64 1 (+.f64 1 (*.f64 z z)))
93.0ms	(.f64 (/.f64 (/.f64 1 x) y) (/.f64 1 (+.f64 1 (.f64 z z))))

simplify108.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5003	4001

prune163.0ms

Filtered

148 candidates to 227 candidates (-53.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	227	0	227
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	227	7	234

Merged error: 5.9b

Counts

234 → 7

regimes154.0ms

Accuracy

0% (1.8b remaining)

Error of 6.7b against oracle of 4.9b and baseline of 6.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	19
1	13	19

end0.0ms

sample493.0ms

Algorithm

intervals

Results

286.0ms	8000×	body	128	valid
14.0ms	417×	body	128	invalid

Details

analyze233.0ms

sample20.0ms

simplify11.0ms

prune2.0ms

localize7.0ms

rewrite26.0ms

series208.0ms

simplify85.0ms

prune84.0ms

localize7.0ms

rewrite67.0ms

series160.0ms

simplify148.0ms

prune249.0ms

localize7.0ms

rewrite23.0ms

series186.0ms

simplify66.0ms

prune84.0ms

localize8.0ms

rewrite67.0ms

series196.0ms

simplify108.0ms

prune163.0ms

regimes154.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample493.0ms

Profiling