Details

analyze258.0ms

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

sample49.0ms

Algorithm

intervals

Results

16.0ms	102×	body	320	valid
10.0ms	104×	body	160	valid
8.0ms	280×	pre	80	true
3.0ms	15×	body	640	valid
2.0ms	35×	body	80	valid
1.0ms	24×	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

prune6.0ms

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: 50.8b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.1b	(- (* b b) (* (* 4.0 a) c))
26.7b	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite26.0ms

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)))
11.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
3.0ms	(- (* b b) (* (* 4.0 a) c))
7.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series64.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
24.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
10.0ms	(- (* b b) (* (* 4.0 a) c))
15.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify45.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5092	1264

prune114.0ms

Filtered

64 candidates to 81 candidates (-26.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	2	82

Merged error: 0.1b

Counts

82 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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)))
15.0ms	(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
14.0ms	(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))

series122.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
8.0ms	(- (* b b) (* 4.0 (* a c)))
41.0ms	(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
57.0ms	(/ (* 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 (33.0ms)

Iter	Nodes	Cost
0	5108	2561

prune175.0ms

Filtered

79 candidates to 127 candidates (-60.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	122	5	127
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	124	5	129

Merged error: 0b

Counts

129 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* 4.0 (* a c))))
0.1b	(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
0.1b	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
0.1b	(- (* b b) (* 4.0 (* a c)))

rewrite29.0ms

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:

4.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
9.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
10.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
4.0ms	(- (* b b) (* 4.0 (* a c)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
47.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
15.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
8.0ms	(- (* b b) (* 4.0 (* a c)))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4942	1771
1	4942	1771

prune143.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	100	5	105

Merged error: 0b

Counts

105 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 198

Calls

4 calls:

8.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
10.0ms	(/ (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) c)
4.0ms	(- (* b b) (* 4.0 (* a c)))
13.0ms	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) c))

series77.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
18.0ms	(/ (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) c)
8.0ms	(- (* b b) (* 4.0 (* a c)))
35.0ms	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) c))

simplify84.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5027	4832

prune243.0ms

Filtered

115 candidates to 210 candidates (-82.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	210	5	215

Merged error: 0b

Counts

215 → 5

regimes158.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	18	19

end0.0ms

analyze255.0ms

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

sample1.4s

Algorithm

intervals

Results

501.0ms	3646×	body	320	valid
277.0ms	2923×	body	160	valid
246.0ms	8808×	pre	80	true
95.0ms	490×	body	640	valid
45.0ms	941×	body	80	valid
37.0ms	808×	body	80	nan

Details

analyze258.0ms

sample49.0ms

simplify3.0ms

prune6.0ms

localize12.0ms

rewrite26.0ms

series64.0ms

simplify45.0ms

prune114.0ms

localize12.0ms

rewrite45.0ms

series122.0ms

simplify48.0ms

prune175.0ms

localize12.0ms

rewrite29.0ms

series84.0ms

simplify59.0ms

prune143.0ms

localize14.0ms

rewrite45.0ms

series77.0ms

simplify84.0ms

prune243.0ms

regimes158.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze255.0ms

sample1.4s

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