Details

analyze424.0ms

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
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	40×	body	80	invalid

simplify260.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (257.0ms)

Iter	Nodes	Cost
0	4940	9
1	4940	9

prune3.0ms

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: 8.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
7.6b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
4×	`sub-neg_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 66

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
6.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

series26.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 y (-.f64 z x))
7.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
11.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4893	763
1	4893	763

prune75.0ms

Filtered

53 candidates to 75 candidates (-41.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	6	76

Merged error: 8.0b

Counts

76 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
7.8b	(.f64 (+.f64 x (.f64 y (-.f64 z x))) (/.f64 1 z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-exp-log_binary64`
13×	`add-cube-cbrt_binary64`
11×	`times-frac_binary64`
10×	`add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64` `prod-exp_binary64`
4×	`sub-neg_binary64` `unswap-sqr_binary64`
3×	`flip3-+_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `flip-+_binary64`
2×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-exp_binary64` `associate-+r+_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `rec-exp_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 77

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
10.0ms	(.f64 (+.f64 x (.f64 y (-.f64 z x))) (/.f64 1 z))

series26.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 y (-.f64 z x))
7.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
11.0ms	(.f64 (+.f64 x (.f64 y (-.f64 z x))) (/.f64 1 z))

simplify56.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5897	848

prune71.0ms

Filtered

57 candidates to 86 candidates (-50.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	87	5	92

Merged error: 2.8b

Counts

92 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 y (/.f64 (-.f64 (*.f64 x y) x) z))
0.0b	(-.f64 (*.f64 x y) x)
2.7b	(/.f64 (-.f64 (*.f64 x y) x) z)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `pow1_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `div-sub_binary64` `difference-of-squares_binary64`
1×	`cbrt-undiv_binary64` `associate--r-_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 56

Calls

3 calls:

16.0ms	(-.f64 y (/.f64 (-.f64 (*.f64 x y) x) z))
8.0ms	(-.f64 (*.f64 x y) x)
12.0ms	(/.f64 (-.f64 (*.f64 x y) x) z)

series22.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(-.f64 y (/.f64 (-.f64 (*.f64 x y) x) z))
5.0ms	(-.f64 (*.f64 x y) x)
9.0ms	(/.f64 (-.f64 (*.f64 x y) x) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	6036	715

prune54.0ms

Filtered

48 candidates to 65 candidates (-35.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	65	5	70

Merged error: 2.8b

Counts

70 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.3b	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
7.6b	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64`
62×	`add-sqr-sqrt_binary64`
60×	`*-un-lft-identity_binary64`
58×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64`
18×	`associate-/r*_binary64`
13×	`add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
8×	`div-exp_binary64`
7×	`pow1_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`
5×	`associate-r_binary64`
4×	`sub-neg_binary64` `cbrt-undiv_binary64`
3×	`associate-l_binary64`
2×	`1-exp_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 150

Calls

4 calls:

7.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
10.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
5.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

series48.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 y (-.f64 z x))
7.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
11.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
22.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

simplify53.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5074	2294

prune100.0ms

Filtered

105 candidates to 162 candidates (-54.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	162	5	167

Merged error: 2.8b

Counts

167 → 5

regimes153.0ms

Accuracy

0% (0.0b remaining)

Error of 3.5b against oracle of 3.5b and baseline of 3.5b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	160	9
1	160	9

end0.0ms

sample453.0ms

Algorithm

intervals

Results

234.0ms	8000×	body	80	valid
28.0ms	1021×	body	80	invalid

Details

analyze424.0ms

sample20.0ms

simplify260.0ms

prune3.0ms

localize6.0ms

rewrite18.0ms

series26.0ms

simplify65.0ms

prune75.0ms

localize8.0ms

rewrite23.0ms

series26.0ms

simplify56.0ms

prune71.0ms

localize10.0ms

rewrite37.0ms

series22.0ms

simplify49.0ms

prune54.0ms

localize8.0ms

rewrite32.0ms

series48.0ms

simplify53.0ms

prune100.0ms

regimes153.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample453.0ms

Profiling