Details

analyze64.0ms

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

sample17.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

7.0ms	(- (* x (- y 1.0)) (* y 0.5))
6.0ms	(* x (- y 1.0))

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify46.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4944	375
1	4944	375

prune51.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

6.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5251	212

prune25.0ms

Filtered

13 candidates to 17 candidates (-30.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0b

Counts

19 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
5.0b	(* x (- (* y y) (* 1.0 1.0)))
12.4b	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

11.0ms	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
7.0ms	(* x (- (* y y) (* 1.0 1.0)))
10.0ms	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

series40.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
10.0ms	(* x (- (* y y) (* 1.0 1.0)))
14.0ms	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4990	785
1	4990	785

prune80.0ms

Filtered

50 candidates to 70 candidates (-40.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	70	2	72

Merged error: 0b

Counts

72 → 2

regimes65.0ms

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	65	13
1	65	13

end0.0ms

sample362.0ms

Algorithm

intervals

Results

236.0ms	7998×	body	80	valid
2.0ms	67×	body	80	invalid
0.0ms	2×	body	1280	valid

Details

analyze64.0ms

sample17.0ms

simplify21.0ms

prune5.0ms

localize7.0ms

rewrite14.0ms

series10.0ms

simplify46.0ms

prune51.0ms

localize9.0ms

rewrite7.0ms

series5.0ms

simplify34.0ms

prune25.0ms

localize11.0ms

rewrite29.0ms

series40.0ms

simplify40.0ms

prune80.0ms

regimes65.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample362.0ms

Profiling