Details

analyze68.0ms

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

sample15.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	642	11
1	642	11

prune10.0ms

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))

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))

simplify35.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5508	375

prune57.0ms

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

localize194.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
0.0b	(- (* y y) (* 1.0 1.0))
3.8b	(* x (- (* y y) (* 1.0 1.0)))
8.9b	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

10.0ms	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
4.0ms	(- (* y y) (* 1.0 1.0))
6.0ms	(* x (- (* y y) (* 1.0 1.0)))
9.0ms	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

series40.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
4.0ms	(- (* y y) (* 1.0 1.0))
10.0ms	(* x (- (* y y) (* 1.0 1.0)))
14.0ms	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

simplify28.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5126	912

prune120.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0))) (* y 0.5))
0.0b	(* x (sqrt (- y 1.0)))
0.1b	(* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `associate-r`
14×	`sqrt-div`
12×	`*-un-lft-identity`
11×	`sqrt-prod`
10×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
8×	`add-cube-cbrt` `flip3--` `flip--`
5×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `diff-log`

Counts

3 → 68

Calls

3 calls:

12.0ms	(- (* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0))) (* y 0.5))
7.0ms	(* x (sqrt (- y 1.0)))
12.0ms	(* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0))) (* y 0.5))
9.0ms	(* x (sqrt (- y 1.0)))
9.0ms	(* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4944	909
1	4944	909

prune112.0ms

Filtered

49 candidates to 77 candidates (-57.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	77	3	80

Merged error: 0b

Counts

80 → 3

regimes154.0ms

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	86	11
1	86	11

end0.0ms

sample382.0ms

Algorithm

intervals

Results

245.0ms	7999×	body	80	valid
2.0ms	75×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze68.0ms

sample15.0ms

simplify37.0ms

prune10.0ms

localize7.0ms

rewrite13.0ms

series9.0ms

simplify35.0ms

prune57.0ms

localize194.0ms

rewrite31.0ms

series40.0ms

simplify28.0ms

prune120.0ms

localize9.0ms

rewrite33.0ms

series25.0ms

simplify57.0ms

prune112.0ms

regimes154.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample382.0ms

Profiling