Details

analyze684.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

sample26.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	78×	body	80	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	1063	9
1	1063	9

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (- d4 (+ d1 d3))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

10.0ms

(* d1 (+ d2 (- d4 (+ d1 d3))))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(* d1 (+ d2 (- d4 (+ d1 d3))))

simplify24.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5291	267

prune31.0ms

Filtered

18 candidates to 28 candidates (-55.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.0b	(- (* d1 d2) (* d1 d3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`diff-log`
4×	`add-sqr-sqrt` `sum-log`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube`
2×	`associate-+l-` `flip3--` `flip--`
1×	`+-commutative` `associate--l-` `associate-+l+` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 42

Calls

3 calls:

8.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
6.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
4.0ms	(- (* d1 d2) (* d1 d3))

series31.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
9.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
9.0ms	(- (* d1 d2) (* d1 d3))

simplify37.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5175	514

prune54.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (+ d2 (- d4 (+ d1 d3))))
0.2b	(* (sqrt (* d1 (+ d2 (- d4 (+ d1 d3))))) (sqrt (* d1 (+ d2 (- d4 (+ d1 d3))))))
0.6b	(sqrt (* d1 (+ d2 (- d4 (+ d1 d3)))))
0.6b	(sqrt (* d1 (+ d2 (- d4 (+ d1 d3)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
19×	`*-un-lft-identity`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `associate-r` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `distribute-lft-out` `add-log-exp`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 108

Calls

4 calls:

10.0ms	(* d1 (+ d2 (- d4 (+ d1 d3))))
20.0ms	(* (sqrt (* d1 (+ d2 (- d4 (+ d1 d3))))) (sqrt (* d1 (+ d2 (- d4 (+ d1 d3))))))
8.0ms	(sqrt (* d1 (+ d2 (- d4 (+ d1 d3)))))
8.0ms	(sqrt (* d1 (+ d2 (- d4 (+ d1 d3)))))

series236.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* d1 (+ d2 (- d4 (+ d1 d3))))
16.0ms	(* (sqrt (* d1 (+ d2 (- d4 (+ d1 d3))))) (sqrt (* d1 (+ d2 (- d4 (+ d1 d3))))))
105.0ms	(sqrt (* d1 (+ d2 (- d4 (+ d1 d3)))))
104.0ms	(sqrt (* d1 (+ d2 (- d4 (+ d1 d3)))))

simplify33.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5005	1459

prune90.0ms

Filtered

73 candidates to 120 candidates (-64.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0b

Counts

123 → 3

regimes260.0ms

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	37	9
1	37	9

end0.0ms

sample695.0ms

Algorithm

intervals

Results

347.0ms	8000×	body	80	valid
95.0ms	2250×	body	80	invalid

Details

analyze684.0ms

sample26.0ms

simplify53.0ms

prune11.0ms

localize7.0ms

rewrite10.0ms

series14.0ms

simplify24.0ms

prune31.0ms

localize10.0ms

rewrite19.0ms

series31.0ms

simplify37.0ms

prune54.0ms

localize9.0ms

rewrite52.0ms

series236.0ms

simplify33.0ms

prune90.0ms

regimes260.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample695.0ms

Profiling