Details

analyze272.0ms

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

sample44.0ms

Algorithm

intervals

Results

14.0ms	151×	body	160	valid
8.0ms	285×	pre	80	true
7.0ms	47×	body	320	valid
3.0ms	58×	body	80	valid
1.0ms	29×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	17
1	30	17

prune7.0ms

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: 43.5b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b	(- (* b b) (* (* 4.0 a) c))
0.2b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
38.8b	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`pow1` `times-frac` `associate-/l*`
3×	`distribute-rgt-neg-in` `sqrt-prod`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3--` `flip3-+` `sqrt-div` `div-exp` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `neg-log` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 69

Calls

4 calls:

3.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms	(- (* b b) (* (* 4.0 a) c))
12.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
10.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series67.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms	(- (* b b) (* (* 4.0 a) c))
26.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
16.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify46.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5092	1264

prune137.0ms

Filtered

64 candidates to 81 candidates (-26.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	76	5	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	5	82

Merged error: 0.2b

Counts

82 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
0.2b	(- (* b b) (* 4.0 (* a c)))
0.3b	(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
0.3b	(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log` `add-cbrt-cube`
34×	`times-frac`
30×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`cbrt-undiv` `div-exp`
14×	`associate-/l*`
13×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
8×	`associate-/r*`
6×	`associate-/r/`
5×	`flip3--` `distribute-rgt-neg-in` `sqrt-prod` `flip--`
4×	`pow1` `div-inv`
3×	`diff-log`
2×	`sub-neg` `frac-2neg` `clear-num`
1×	`associate--l-` `neg-sub0` `neg-log` `associate-/l/`

Counts

4 → 115

Calls

4 calls:

8.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
3.0ms	(- (* b b) (* 4.0 (* a c)))
18.0ms	(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
13.0ms	(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))

series132.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
9.0ms	(- (* b b) (* 4.0 (* a c)))
47.0ms	(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
60.0ms	(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))

simplify48.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5108	2561

prune200.0ms

Filtered

79 candidates to 127 candidates (-60.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	119	8	127
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	124	8	132

Merged error: 0b

Counts

132 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
21×	`times-frac`
17×	`add-cube-cbrt`
10×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
8×	`sqrt-prod`
7×	`associate-/r*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `distribute-rgt-neg-in`
4×	`flip3--` `flip--`
3×	`diff-log` `associate-/l*`
2×	`sub-neg` `sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `associate--l-` `neg-sub0` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `neg-log` `clear-num` `div-inv`

Counts

4 → 88

Calls

4 calls:

3.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
10.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
10.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
4.0ms	(- (* b b) (* 4.0 (* a c)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
18.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
49.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
9.0ms	(- (* b b) (* 4.0 (* a c)))

simplify60.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4942	1771
1	4942	1771

prune168.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	100	8	108

Merged error: 0b

Counts

108 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
0.1b	(/ 1 (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
0.2b	(- (* b b) (* 4.0 (* a c)))
0.3b	(* c (/ 1 (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
44×	`times-frac`
28×	`add-cube-cbrt`
27×	`associate-r`
17×	`add-exp-log`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`add-cbrt-cube`
10×	`add-log-exp`
8×	`distribute-rgt-neg-in` `sqrt-prod`
7×	`pow1` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`diff-log` `associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`associate--l-` `neg-sub0` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `neg-log` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 127

Calls

4 calls:

8.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
11.0ms	(/ 1 (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
4.0ms	(- (* b b) (* 4.0 (* a c)))
16.0ms	(* c (/ 1 (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))))

series101.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
28.0ms	(/ 1 (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
9.0ms	(- (* b b) (* 4.0 (* a c)))
49.0ms	(* c (/ 1 (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))))

simplify56.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5552	2346

prune183.0ms

Filtered

86 candidates to 139 candidates (-61.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	139	8	147

Merged error: 0b

Counts

147 → 8

regimes204.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	18	19

end0.0ms

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

sample1.3s

Algorithm

intervals

Results

466.0ms	4794×	body	160	valid
271.0ms	8978×	pre	80	true
202.0ms	1394×	body	320	valid
92.0ms	1812×	body	80	valid
52.0ms	978×	body	80	nan

Details

analyze272.0ms

sample44.0ms

simplify3.0ms

prune7.0ms

localize11.0ms

rewrite30.0ms

series67.0ms

simplify46.0ms

prune137.0ms

localize12.0ms

rewrite47.0ms

series132.0ms

simplify48.0ms

prune200.0ms

localize12.0ms

rewrite30.0ms

series90.0ms

simplify60.0ms

prune168.0ms

localize14.0ms

rewrite47.0ms

series101.0ms

simplify56.0ms

prune183.0ms

regimes204.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze268.0ms

sample1.3s

Profiling