Details

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

sample40.0ms

Algorithm

intervals

Results

16.0ms	146×	body	160	valid
8.0ms	284×	pre	80	true
5.0ms	110×	body	80	valid
1.0ms	28×	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: 29.8b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.2b	(- (* b b) (* (* 4.0 a) c))
29.8b	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite27.0ms

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))))

series66.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
26.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms	(- (* b b) (* (* 4.0 a) c))
18.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify47.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5092	1264

prune140.0ms

Filtered

64 candidates to 81 candidates (-26.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	73	8	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	8	82

Merged error: 0.3b

Counts

82 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
0.2b	(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
0.2b	(- (* b b) (* 4.0 (* a c)))
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)))))
15.0ms	(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
3.0ms	(- (* b b) (* 4.0 (* a c)))
13.0ms	(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))

series129.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
45.0ms	(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* 2.0 a))
9.0ms	(- (* b b) (* 4.0 (* a c)))
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

prune201.0ms

Filtered

79 candidates to 127 candidates (-60.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	117	10	127
Fresh	7	0	7
Picked	1	0	1
Done	0	0	0
Total	125	10	135

Merged error: 0b

Counts

135 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

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

series88.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
47.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
16.0ms	(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
9.0ms	(- (* 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 (9 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	101	9	110

Merged error: 0b

Counts

110 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (neg b) (sqrt (cbrt (pow (- (* b b) (* 4.0 (* a c))) 3))))
0.2b	(- (* b b) (* 4.0 (* a c)))
0.6b	(cbrt (pow (- (* b b) (* 4.0 (* a c))) 3))
0.7b	(pow (- (* b b) (* 4.0 (* a c))) 3)

rewrite30.0ms

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

series52.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (neg b) (sqrt (cbrt (pow (- (* b b) (* 4.0 (* a c))) 3))))
8.0ms	(- (* b b) (* 4.0 (* a c)))
9.0ms	(cbrt (pow (- (* b b) (* 4.0 (* a c))) 3))
20.0ms	(pow (- (* b b) (* 4.0 (* a c))) 3)

simplify36.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5288	1439

prune109.0ms

Filtered

55 candidates to 92 candidates (-67.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	92	9	101

Merged error: 0b

Counts

101 → 9

regimes223.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms

analyze261.0ms

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

426.0ms	4484×	body	160	valid
251.0ms	8875×	pre	80	true
182.0ms	3516×	body	80	valid
43.0ms	875×	body	80	nan

Details

analyze265.0ms

sample40.0ms

simplify3.0ms

prune7.0ms

localize11.0ms

rewrite27.0ms

series66.0ms

simplify47.0ms

prune140.0ms

localize12.0ms

rewrite44.0ms

series129.0ms

simplify47.0ms

prune201.0ms

localize13.0ms

rewrite30.0ms

series88.0ms

simplify63.0ms

prune167.0ms

localize16.0ms

rewrite30.0ms

series52.0ms

simplify36.0ms

prune109.0ms

regimes223.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze261.0ms

sample1.1s

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