Details

analyze268.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

sample46.0ms

Algorithm

intervals

Results

16.0ms	164×	body	160	valid
8.0ms	285×	pre	80	true
5.0ms	37×	body	320	valid
5.0ms	55×	body	80	valid
1.0ms	29×	body	80	nan

simplify203.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (201.0ms)

Iter	Nodes	Cost
0	1931	16
1	1931	16

prune8.0ms

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: 44.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* 4.0 (* a c))))
0.1b	(- (* b b) (* 4.0 (* a c)))
0.2b	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
39.5b	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `sqrt-prod` `associate-/l*` `difference-of-squares`
5×	`pow1`
4×	`flip3--` `flip--`
3×	`distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `sqrt-div` `diff-log` `div-exp` `associate-/l/`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 70

Calls

4 calls:

4.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
4.0ms	(- (* b b) (* 4.0 (* a c)))
11.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
7.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series66.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
9.0ms	(- (* b b) (* 4.0 (* a c)))
25.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
17.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify39.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5340	1316

prune183.0ms

Filtered

62 candidates to 82 candidates (-32.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	69	13	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	13	83

Merged error: 5.5b

Counts

83 → 13

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune47.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	12	12
Picked	1	1
Done	0	0
Total	13	13

Merged error: 5.5b

Counts

13 → 13

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))
0.3b	(* (/ a b) c)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
15×	`add-sqr-sqrt`
13×	`associate-l`
11×	`cbrt-undiv` `times-frac` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1`
3×	`associate-r`
2×	`associate-*l/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `associate-/l/` `associate-/l`

Counts

2 → 62

Calls

2 calls:

9.0ms	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))
6.0ms	(* (/ a b) c)

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))
5.0ms	(* (/ a b) c)

simplify42.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune157.0ms

Filtered

40 candidates to 68 candidates (-70.0%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	53	15	68
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	54	27	81

Merged error: 5.4b

Counts

81 → 27

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ 1 (* (/ b c) (/ 2.0 -2.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
22×	`div-exp`
19×	`add-cbrt-cube`
12×	`prod-exp`
9×	`cbrt-undiv`
5×	`rec-exp` `1-exp`
4×	`pow1` `cbrt-unprod`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r/` `associate-/l`
2×	`pow-flip`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `associate-/r*` `div-inv` `inv-pow` `add-log-exp`

Counts

1 → 43

Calls

1 calls:

8.0ms

(/ 1 (* (/ b c) (/ 2.0 -2.0)))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ 1 (* (/ b c) (/ 2.0 -2.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4964	340
1	4964	340

prune24.0ms

Filtered

19 candidates to 46 candidates (-142.1%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	1	24	25
Picked	0	1	1
Done	0	1	1
Total	46	27	73

Merged error: 5.4b

Counts

73 → 27

regimes441.0ms

Accuracy

0% (6.7b remaining)

Error of 11.8b against oracle of 5.0b and baseline of 11.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

462.0ms	4846×	body	160	valid
256.0ms	8920×	pre	80	true
202.0ms	1406×	body	320	valid
87.0ms	1748×	body	80	valid
47.0ms	920×	body	80	nan

Details

analyze268.0ms

sample46.0ms

simplify203.0ms

prune8.0ms

localize10.0ms

rewrite28.0ms

series66.0ms

simplify39.0ms

prune183.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune47.0ms

localize8.0ms

rewrite18.0ms

series11.0ms

simplify42.0ms

prune157.0ms

localize6.0ms

rewrite10.0ms

series3.0ms

simplify61.0ms

prune24.0ms

regimes441.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling