Details

analyze260.0ms

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

sample39.0ms

Algorithm

intervals

Results

14.0ms	141×	body	160	valid
8.0ms	278×	pre	80	true
6.0ms	115×	body	80	valid
1.0ms	22×	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: 28.1b

Counts

2 → 1

localize12.0ms

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))
0.3b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
28.0b	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite31.0ms

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))
14.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series66.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms	(- (* b b) (* (* 4.0 a) c))
27.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
15.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify53.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5092	1264

prune129.0ms

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: 0.4b

Counts

82 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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:

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

series133.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 4.0 (* a c)))
16.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
48.0ms	(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
61.0ms	(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))

simplify49.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5108	2561

prune198.0ms

Filtered

79 candidates to 127 candidates (-60.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	119	8	127
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	122	10	132

Merged error: 0b

Counts

132 → 10

localize13.0ms

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

4.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
5.0ms	(- (* b b) (* 4.0 (* a c)))
10.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
8.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
9.0ms	(- (* b b) (* 4.0 (* a c)))
49.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
16.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4942	1771
1	4942	1771

prune167.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	101	9	110

Merged error: 0b

Counts

110 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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:

4.0ms	(- (* b b) (* 4.0 (* a c)))
13.0ms	(/ (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) c)
8.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
14.0ms	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) c))

series81.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 4.0 (* a c)))
22.0ms	(/ (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) c)
16.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
34.0ms	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) c))

simplify84.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5027	4832

prune236.0ms

Filtered

115 candidates to 210 candidates (-82.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	211	8	219

Merged error: 0b

Counts

219 → 8

regimes202.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	21
1	21	21

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

sample1.1s

Algorithm

intervals

Results

435.0ms	4394×	body	160	valid
251.0ms	8841×	pre	80	true
178.0ms	3606×	body	80	valid
44.0ms	841×	body	80	nan

Details

analyze260.0ms

sample39.0ms

simplify3.0ms

prune7.0ms

localize12.0ms

rewrite31.0ms

series66.0ms

simplify53.0ms

prune129.0ms

localize13.0ms

rewrite49.0ms

series133.0ms

simplify49.0ms

prune198.0ms

localize13.0ms

rewrite30.0ms

series91.0ms

simplify63.0ms

prune167.0ms

localize14.0ms

rewrite48.0ms

series81.0ms

simplify84.0ms

prune236.0ms

regimes202.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze255.0ms

sample1.1s

Profiling