Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
25%	0%	75%	1

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4761	7
1	4761	7

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x x) (pow x 3))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`cube-mult`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `flip3-+` `unpow3` `distribute-rgt1-in` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

5.0ms

(+ (* x x) (pow x 3))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ (* x x) (pow x 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4951	140
1	4951	140

prune34.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 0b

Counts

18 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ x (* x x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `associate-r`
4×	`*-un-lft-identity`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-rgt-out` `distribute-lft-in` `flip3-+` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

5.0ms

(* x (+ x (* x x)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* x (+ x (* x x)))

simplify41.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4951	209
1	4951	209

prune29.0ms

Filtered

18 candidates to 27 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0b

Counts

31 → 3

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow x 3/2) (pow x 5/2))
0.2b	(* (sqrt x) (+ (pow x 3/2) (pow x 5/2)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`associate-l`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-r` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod`

Counts

2 → 39

Calls

2 calls:

6.0ms	(+ (pow x 3/2) (pow x 5/2))
13.0ms	(* (sqrt x) (+ (pow x 3/2) (pow x 5/2)))

series58.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (pow x 3/2) (pow x 5/2))
20.0ms	(* (sqrt x) (+ (pow x 3/2) (pow x 5/2)))

simplify74.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4863	581
1	4863	581

prune69.0ms

Filtered

33 candidates to 45 candidates (-36.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	45	3	48

Merged error: 0b

Counts

48 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x 4) (pow x 6))
0.0b	(- (* x x) (pow x 3))
42.7b	(/ (- (pow x 4) (pow x 6)) (- (* x x) (pow x 3)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

204×	`add-sqr-sqrt`
159×	`difference-of-squares`
117×	`times-frac`
81×	`unpow-prod-down` `sqr-pow`
49×	`*-un-lft-identity`
27×	`add-cube-cbrt`
26×	`distribute-lft-out--`
15×	`cube-mult` `distribute-rgt-out--` `unpow3` `cube-prod`
13×	`associate-/l*`
9×	`associate-/r*`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `flip--`
3×	`pow1`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 194

Calls

3 calls:

7.0ms	(- (pow x 4) (pow x 6))
6.0ms	(- (* x x) (pow x 3))
17.0ms	(/ (- (pow x 4) (pow x 6)) (- (* x x) (pow x 3)))

series31.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (pow x 4) (pow x 6))
6.0ms	(- (* x x) (pow x 3))
17.0ms	(/ (- (pow x 4) (pow x 6)) (- (* x x) (pow x 3)))

simplify91.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4988	4170
1	4988	4170

prune244.0ms

Filtered

101 candidates to 203 candidates (-101.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	203	3	206

Merged error: 0b

Counts

206 → 3

regimes28.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms

sample320.0ms

Algorithm

intervals

Results

138.0ms	8000×	body	80	valid
97.0ms	8000×	pre	80	true

Details

analyze2.0ms

sample17.0ms

simplify105.0ms

prune5.0ms

localize4.0ms

rewrite6.0ms

series6.0ms

simplify46.0ms

prune34.0ms

localize4.0ms

rewrite6.0ms

series6.0ms

simplify41.0ms

prune29.0ms

localize14.0ms

rewrite20.0ms

series58.0ms

simplify74.0ms

prune69.0ms

localize9.0ms

rewrite40.0ms

series31.0ms

simplify91.0ms

prune244.0ms

regimes28.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample320.0ms

Profiling