Details

analyze257.0ms

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

sample62.0ms

Algorithm

intervals

Results

19.0ms	109×	body	320	valid
12.0ms	279×	pre	80	true
11.0ms	97×	body	160	valid
4.0ms	17×	body	640	valid
2.0ms	33×	body	80	valid
2.0ms	23×	body	80	nan

simplify198.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (196.0ms)

Iter	Nodes	Cost
0	1931	16
1	1931	16

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 51.7b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* 4.0 (* a c))))
0.1b	(- (* b b) (* 4.0 (* a c)))
0.1b	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
27.7b	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `sqrt-prod` `associate-/l*` `difference-of-squares`
5×	`pow1`
4×	`flip3--` `flip--`
3×	`distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `sqrt-div` `diff-log` `div-exp` `associate-/l/`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 70

Calls

4 calls:

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

series64.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
8.0ms	(- (* b b) (* 4.0 (* a c)))
24.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
18.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify39.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5340	1316

prune175.0ms

Filtered

62 candidates to 82 candidates (-32.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	71	11	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	11	83

Merged error: 2.4b

Counts

83 → 11

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune37.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	10	10
Picked	1	1
Done	0	0
Total	11	11

Merged error: 2.4b

Counts

11 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (/ a b) c)
0.2b	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
15×	`add-sqr-sqrt`
13×	`associate-l`
11×	`cbrt-undiv` `times-frac` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1`
3×	`associate-r`
2×	`associate-*l/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `associate-/l/` `associate-/l`

Counts

2 → 62

Calls

2 calls:

6.0ms	(* (/ a b) c)
9.0ms	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (/ a b) c)
7.0ms	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune126.0ms

Filtered

42 candidates to 68 candidates (-61.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	59	9	68
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	60	19	79

Merged error: 2.3b

Counts

79 → 19

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ (* -2.0 (* a c)) (* a (* b 2.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log` `add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

9.0ms

(/ (* -2.0 (* a c)) (* a (* b 2.0)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (* -2.0 (* a c)) (* a (* b 2.0)))

simplify33.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5022	278

prune18.0ms

Filtered

13 candidates to 34 candidates (-161.5%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	17	17
Picked	0	1	1
Done	0	1	1
Total	34	19	53

Merged error: 2.3b

Counts

53 → 19

regimes338.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample1.4s

Algorithm

intervals

Results

529.0ms	3658×	body	320	valid
283.0ms	2951×	body	160	valid
251.0ms	8830×	pre	80	true
96.0ms	482×	body	640	valid
45.0ms	909×	body	80	valid
41.0ms	830×	body	80	nan

Details

analyze257.0ms

sample62.0ms

simplify198.0ms

prune8.0ms

localize11.0ms

rewrite28.0ms

series64.0ms

simplify39.0ms

prune175.0ms

localize5.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune37.0ms

localize7.0ms

rewrite17.0ms

series12.0ms

simplify41.0ms

prune126.0ms

localize7.0ms

rewrite10.0ms

series5.0ms

simplify33.0ms

prune18.0ms

regimes338.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

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