Details

analyze50.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
50%	50%	0.1%	5
62.4%	37.5%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample14.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify195.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (192.0ms)

Iter	Nodes	Cost
0	3111	11
1	3111	11

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

7.2b	(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-/r*_binary64` `distribute-lft-out_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

1 → 33

Calls

1 calls:

7.0ms

(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

simplify56.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5157	508

prune48.0ms

Filtered

27 candidates to 36 candidates (-33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0b

Counts

37 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
7.2b	(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
19×	`associate-/r*_binary64`
16×	`distribute-lft-out_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`associate-/l*_binary64`
6×	`div-inv_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3-+_binary64` `associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

2 → 121

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
8.0ms	(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

series20.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(/.f64 1 (/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y))
7.0ms	(/.f64 (+.f64 1 (/.f64 (*.f64 y x) 2)) y)

simplify75.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4903	1993
1	4903	1993

prune108.0ms

Filtered

72 candidates to 127 candidates (-76.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	129	2	131

Merged error: 0b

Counts

131 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 1 y) (*.f64 x 1/2))
0.1b	(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 x 1/2)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/r/_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-inv_binary64` `+-commutative_binary64` `pow-flip_binary64` `sum-log_binary64`

Counts

2 → 44

Calls

2 calls:

7.0ms	(+.f64 (/.f64 1 y) (*.f64 x 1/2))
8.0ms	(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 x 1/2)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+.f64 (/.f64 1 y) (*.f64 x 1/2))
10.0ms	(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 x 1/2)))

simplify59.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4983	612
1	4983	612

prune40.0ms

Filtered

32 candidates to 50 candidates (-56.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	50	2	52

Merged error: 0b

Counts

52 → 2

regimes92.0ms

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	28	11
1	28	11

end0.0ms

sample379.0ms

Algorithm

intervals

Results

252.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze50.0ms

sample14.0ms

simplify195.0ms

prune3.0ms

localize7.0ms

rewrite8.0ms

series14.0ms

simplify56.0ms

prune48.0ms

localize8.0ms

rewrite22.0ms

series20.0ms

simplify75.0ms

prune108.0ms

localize9.0ms

rewrite16.0ms

series15.0ms

simplify59.0ms

prune40.0ms

regimes92.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample379.0ms

Profiling