Details

analyze417.0ms

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

10.0ms	256×	body	80	valid
1.0ms	45×	body	80	invalid

simplify276.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (274.0ms)

Iter	Nodes	Cost
0	4940	9
1	4940	9

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: 10.1b

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)))
9.5b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite19.0ms

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)

series27.0ms

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)

simplify69.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4893	763
1	4893	763

prune54.0ms

Filtered

53 candidates to 75 candidates (-41.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	66	9	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	10	76

Merged error: 10.0b

Counts

76 → 10

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.2b	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
9.5b	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

rewrite29.0ms

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)))
8.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
5.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(*.f64 y (-.f64 z x))
8.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
11.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
23.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

simplify52.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5074	2294

prune68.0ms

Filtered

105 candidates to 162 candidates (-54.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	3	5	8
Picked	0	1	1
Done	1	0	1
Total	165	7	172

Merged error: 3.3b

Counts

172 → 7

localize6.0ms

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)
3.2b	(/.f64 (-.f64 (*.f64 x y) x) z)

rewrite20.0ms

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:

8.0ms	(-.f64 y (/.f64 (-.f64 (*.f64 x y) x) z))
4.0ms	(-.f64 (*.f64 x y) x)
6.0ms	(/.f64 (-.f64 (*.f64 x y) x) z)

series25.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(-.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)

simplify47.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	6036	715

prune33.0ms

Filtered

48 candidates to 65 candidates (-35.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	65	7	72

Merged error: 3.3b

Counts

72 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
9.7b	(.f64 (+.f64 x (.f64 y (-.f64 z x))) (/.f64 1 z))

rewrite24.0ms

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

series27.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z x))
7.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
12.0ms	(.f64 (+.f64 x (.f64 y (-.f64 z x))) (/.f64 1 z))

simplify53.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5897	848

prune32.0ms

Filtered

57 candidates to 86 candidates (-50.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	87	6	93

Merged error: 3.3b

Counts

93 → 6

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	160	9
1	160	9

end0.0ms

sample447.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
32.0ms	1063×	body	80	invalid

Details

analyze417.0ms

sample20.0ms

simplify276.0ms

prune2.0ms

localize6.0ms

rewrite19.0ms

series27.0ms

simplify69.0ms

prune54.0ms

localize7.0ms

rewrite29.0ms

series52.0ms

simplify52.0ms

prune68.0ms

localize6.0ms

rewrite20.0ms

series25.0ms

simplify47.0ms

prune33.0ms

localize7.0ms

rewrite24.0ms

series27.0ms

simplify53.0ms

prune32.0ms

regimes108.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample447.0ms

Profiling