Details

analyze266.0ms

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
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	35×	body	128	invalid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	357	10
1	357	10

prune1.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 51

Calls

2 calls:

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

series99.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
52.0ms	(/.f64 (-.f64 y x) z)

simplify87.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4929	779
1	4929	779

prune31.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
10×	`times-frac_binary64`
9×	`add-log-exp_binary64`
5×	`distribute-lft-out--_binary64`
4×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
2×	`sub-neg_binary64` `pow1_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-rgt-out--_binary64` `+-commutative_binary64` `sub-div_binary64` `flip--_binary64` `flip-+_binary64` `associate-+r+_binary64` `frac-sub_binary64`

Counts

2 → 38

Calls

2 calls:

19.0ms	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
16.0ms	(-.f64 (/.f64 y z) (/.f64 x z))

series95.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
48.0ms	(-.f64 (/.f64 y z) (/.f64 x z))

simplify67.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5266	738

prune23.0ms

Filtered

31 candidates to 44 candidates (-41.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64`
106×	`*-un-lft-identity_binary64`
103×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
7×	`div-inv_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `div-exp_binary64` `flip--_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3-+_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 156

Calls

3 calls:

24.0ms	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
6.0ms	(/.f64 z (-.f64 y x))
12.0ms	(/.f64 1 (/.f64 z (-.f64 y x)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
66.0ms	(/.f64 z (-.f64 y x))
76.0ms	(/.f64 1 (/.f64 z (-.f64 y x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5440	2778

prune83.0ms

Filtered

101 candidates to 165 candidates (-63.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	166	3	169

Merged error: 0b

Counts

169 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (*.f64 z (/.f64 1 (-.f64 y x)))))
0.0b	(/.f64 1 (-.f64 y x))
0.3b	(*.f64 z (/.f64 1 (-.f64 y x)))
0.4b	(/.f64 1 (*.f64 z (/.f64 1 (-.f64 y x))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64`
35×	`times-frac_binary64`
34×	`add-exp-log_binary64`
26×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
20×	`add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`prod-exp_binary64`
8×	`rec-exp_binary64` `div-exp_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `associate-/l_binary64`
4×	`cbrt-unprod_binary64` `div-inv_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `pow-flip_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 129

Calls

4 calls:

7.0ms	(+.f64 x (/.f64 1 (*.f64 z (/.f64 1 (-.f64 y x)))))
6.0ms	(/.f64 1 (-.f64 y x))
13.0ms	(*.f64 z (/.f64 1 (-.f64 y x)))
11.0ms	(/.f64 1 (*.f64 z (/.f64 1 (-.f64 y x))))

series218.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+.f64 x (/.f64 1 (*.f64 z (/.f64 1 (-.f64 y x)))))
43.0ms	(/.f64 1 (-.f64 y x))
70.0ms	(*.f64 z (/.f64 1 (-.f64 y x)))
65.0ms	(/.f64 1 (*.f64 z (/.f64 1 (-.f64 y x))))

simplify96.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4985	1483
1	4985	1483

prune62.0ms

Filtered

80 candidates to 141 candidates (-76.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	141	3	144

Merged error: 0b

Counts

144 → 3

regimes39.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample408.0ms

Algorithm

intervals

Results

186.0ms	8000×	body	128	valid
32.0ms	1350×	body	128	invalid

Details

analyze266.0ms

sample14.0ms

simplify27.0ms

prune1.0ms

localize5.0ms

rewrite21.0ms

series99.0ms

simplify87.0ms

prune31.0ms

localize6.0ms

rewrite38.0ms

series95.0ms

simplify67.0ms

prune23.0ms

localize6.0ms

rewrite60.0ms

series182.0ms

simplify85.0ms

prune83.0ms

localize8.0ms

rewrite48.0ms

series218.0ms

simplify96.0ms

prune62.0ms

regimes39.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample408.0ms

Profiling