Details

analyze389.0ms

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
55.6%	39.2%	5.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	34×	body	80	invalid

simplify222.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (220.0ms)

Iter	Nodes	Cost
0	4647	9
1	4647	9

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`-un-lft-identity_binary64` `associate-/r_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`

Counts

1 → 23

Calls

1 calls:

11.0ms

(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(/.f64 (*.f64 4 (-.f64 (-.f64 x y) (*.f64 z 1/2))) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5559	288

prune16.0ms

Filtered

19 candidates to 26 candidates (-36.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	1	27

Merged error: 0b

Counts

27 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 38

Calls

1 calls:

6.0ms

(/.f64 (-.f64 x y) z)

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(/.f64 (-.f64 x y) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5119	362

prune20.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	1	42

Merged error: 0b

Counts

42 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample462.0ms

Algorithm

intervals

Results

256.0ms	8000×	body	80	valid
28.0ms	930×	body	80	invalid

Details

analyze389.0ms

sample17.0ms

simplify222.0ms

prune5.0ms

localize7.0ms

rewrite11.0ms

series10.0ms

simplify46.0ms

prune16.0ms

localize6.0ms

rewrite8.0ms

series7.0ms

simplify44.0ms

prune20.0ms

simplify2.0ms

end0.0ms

sample462.0ms

Profiling