Details

analyze66.0ms

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

sample21.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	642	11
1	642	11

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (- y 1.0)) (* y 0.5))
0.0b	(* x (- y 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`sub-neg` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `associate--l+` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

6.0ms	(- (* x (- y 1.0)) (* y 0.5))
6.0ms	(* x (- y 1.0))

series9.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(- (* x (- y 1.0)) (* y 0.5))
4.0ms	(* x (- y 1.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4944	375
1	4944	375

prune51.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* x y) (* x (neg 1.0))) (* y 0.5))
0.0b	(+ (* x y) (* x (neg 1.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `diff-log` `unsub-neg` `sum-log` `distribute-rgt-neg-out` `add-cbrt-cube`
1×	`+-commutative` `associate--l-` `sub-neg` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

6.0ms	(- (+ (* x y) (* x (neg 1.0))) (* y 0.5))
4.0ms	(+ (* x y) (* x (neg 1.0)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(- (+ (* x y) (* x (neg 1.0))) (* y 0.5))
5.0ms	(+ (* x y) (* x (neg 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5411	328

prune38.0ms

Filtered

22 candidates to 33 candidates (-50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

36 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x (- y 1.0)) (* y 0.5))) (cbrt (- (* x (- y 1.0)) (* y 0.5))))
0.5b	(cbrt (- (* x (- y 1.0)) (* y 0.5)))
0.5b	(cbrt (- (* x (- y 1.0)) (* y 0.5)))
0.5b	(cbrt (- (* x (- y 1.0)) (* y 0.5)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

16.0ms	(* (cbrt (- (* x (- y 1.0)) (* y 0.5))) (cbrt (- (* x (- y 1.0)) (* y 0.5))))
6.0ms	(cbrt (- (* x (- y 1.0)) (* y 0.5)))
6.0ms	(cbrt (- (* x (- y 1.0)) (* y 0.5)))
6.0ms	(cbrt (- (* x (- y 1.0)) (* y 0.5)))

series87.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (- (* x (- y 1.0)) (* y 0.5))) (cbrt (- (* x (- y 1.0)) (* y 0.5))))
19.0ms	(cbrt (- (* x (- y 1.0)) (* y 0.5)))
19.0ms	(cbrt (- (* x (- y 1.0)) (* y 0.5)))
23.0ms	(cbrt (- (* x (- y 1.0)) (* y 0.5)))

simplify72.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5026	1971

prune236.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Merged error: 0b

Counts

102 → 3

regimes141.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	11
1	47	11

end0.0ms

sample388.0ms

Algorithm

intervals

Results

243.0ms	7997×	body	80	valid
2.0ms	75×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze66.0ms

sample21.0ms

simplify26.0ms

prune5.0ms

localize10.0ms

rewrite13.0ms

series9.0ms

simplify48.0ms

prune51.0ms

localize9.0ms

rewrite10.0ms

series10.0ms

simplify45.0ms

prune38.0ms

localize12.0ms

rewrite37.0ms

series87.0ms

simplify72.0ms

prune236.0ms

regimes141.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample388.0ms

Profiling