Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample21.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	4	5
1	4	5

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) 1.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`add-sqr-sqrt`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--` `difference-of-squares`

Counts

1 → 12

Calls

1 calls:

3.0ms

(- (* x x) 1.0)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(- (* x x) 1.0)

simplify48.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4994	111
1	4994	111

prune21.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

9.0ms

(* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	6088	364

prune46.0ms

Filtered

25 candidates to 35 candidates (-40.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	35	3	38

Merged error: 0b

Counts

38 → 3

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow x 4) (* 1.0 (+ (* x x) 1.0)))
13.7b	(/ (- (pow x 6) (pow 1.0 3)) (+ (pow x 4) (* 1.0 (+ (* x x) 1.0))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
48×	`times-frac` `difference-of-squares`
31×	`*-un-lft-identity`
28×	`unpow-prod-down` `sqr-pow`
23×	`add-cube-cbrt`
16×	`associate-/l*`
12×	`cube-prod`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `associate-+r+` `flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `div-sub` `div-exp` `clear-num` `sum-log` `flip--` `div-inv`

Counts

2 → 97

Calls

2 calls:

4.0ms	(+ (pow x 4) (* 1.0 (+ (* x x) 1.0)))
14.0ms	(/ (- (pow x 6) (pow 1.0 3)) (+ (pow x 4) (* 1.0 (+ (* x x) 1.0))))

series18.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (pow x 4) (* 1.0 (+ (* x x) 1.0)))
14.0ms	(/ (- (pow x 6) (pow 1.0 3)) (+ (pow x 4) (* 1.0 (+ (* x x) 1.0))))

simplify51.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5495	2987

prune202.0ms

Filtered

68 candidates to 103 candidates (-51.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes77.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	4	5

end0.0ms

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample206.0ms

Algorithm

intervals

Results

125.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze5.0ms

sample21.0ms

simplify4.0ms

prune3.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify48.0ms

prune21.0ms

localize5.0ms

rewrite10.0ms

series12.0ms

simplify43.0ms

prune46.0ms

localize14.0ms

rewrite22.0ms

series18.0ms

simplify51.0ms

prune202.0ms

regimes77.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample206.0ms

Profiling