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	169×	body	160	valid
8.0ms	286×	pre	80	true
7.0ms	34×	body	320	valid
3.0ms	53×	body	80	valid
1.0ms	30×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 43.3b

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))
39.7b	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite28.0ms

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:

4.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms	(- (* b b) (* (* 4.0 a) c))
11.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series65.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms	(- (* b b) (* (* 4.0 a) c))
25.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
17.0ms	(+ (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

prune117.0ms

Filtered

64 candidates to 81 candidates (-26.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	4	82

Merged error: 0.2b

Counts

82 → 4

localize14.0ms

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))
0.4b	(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))

rewrite44.0ms

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)))
16.0ms	(/ (/ (* 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))))))

series127.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
10.0ms	(- (* b b) (* 4.0 (* a c)))
43.0ms	(/ (/ (* 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))))))

simplify47.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5108	2561

prune189.0ms

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	2	0	2
Picked	1	0	1
Done	1	0	1
Total	123	8	131

Merged error: 0b

Counts

131 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(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)))))
0.2b	(- (* b b) (* 4.0 (* a c)))

rewrite27.0ms

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

series85.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
48.0ms	(/ 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)))

simplify60.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4942	1771
1	4942	1771

prune149.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	101	7	108

Merged error: 0b

Counts

108 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (neg b) (sqrt (cbrt (pow (- (* b b) (* 4.0 (* a c))) 3))))
0.2b	(- (* b b) (* 4.0 (* a c)))
0.5b	(cbrt (pow (- (* b b) (* 4.0 (* a c))) 3))
0.7b	(pow (- (* b b) (* 4.0 (* a c))) 3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`cbrt-prod`
14×	`*-un-lft-identity`
10×	`add-cube-cbrt` `add-log-exp`
7×	`unpow-prod-down` `cube-prod`
6×	`difference-of-squares`
5×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
4×	`cube-div` `flip3--` `flip--`
3×	`pow-unpow` `diff-log` `sqr-pow`
2×	`cube-mult` `sub-neg` `cbrt-div` `unpow3` `distribute-lft-out--`
1×	`associate--l-` `neg-sub0` `pow-to-exp` `pow-pow` `distribute-rgt-neg-in` `pow1/3` `neg-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 80

Calls

4 calls:

14.0ms	(- (neg b) (sqrt (cbrt (pow (- (* b b) (* 4.0 (* a c))) 3))))
4.0ms	(- (* b b) (* 4.0 (* a c)))
5.0ms	(cbrt (pow (- (* b b) (* 4.0 (* a c))) 3))
5.0ms	(pow (- (* b b) (* 4.0 (* a c))) 3)

series54.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (neg b) (sqrt (cbrt (pow (- (* b b) (* 4.0 (* a c))) 3))))
8.0ms	(- (* b b) (* 4.0 (* a c)))
8.0ms	(cbrt (pow (- (* b b) (* 4.0 (* a c))) 3))
19.0ms	(pow (- (* b b) (* 4.0 (* a c))) 3)

simplify35.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5288	1439

prune107.0ms

Filtered

55 candidates to 92 candidates (-67.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	92	7	99

Merged error: 0b

Counts

99 → 7

regimes185.0ms

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

analyze265.0ms

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

481.0ms	4879×	body	160	valid
254.0ms	8883×	pre	80	true
196.0ms	1329×	body	320	valid
97.0ms	1792×	body	80	valid
46.0ms	883×	body	80	nan

Details

analyze268.0ms

sample46.0ms

simplify3.0ms

prune6.0ms

localize11.0ms

rewrite28.0ms

series65.0ms

simplify45.0ms

prune117.0ms

localize14.0ms

rewrite44.0ms

series127.0ms

simplify47.0ms

prune189.0ms

localize12.0ms

rewrite27.0ms

series85.0ms

simplify60.0ms

prune149.0ms

localize19.0ms

rewrite29.0ms

series54.0ms

simplify35.0ms

prune107.0ms

regimes185.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze265.0ms

sample1.3s

Profiling