Details

analyze256.0ms

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

sample44.0ms

Algorithm

intervals

Results

15.0ms	161×	body	160	valid
8.0ms	44×	body	320	valid
8.0ms	280×	pre	80	true
2.0ms	51×	body	80	valid
1.0ms	24×	body	80	nan

simplify202.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (201.0ms)

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: 44.6b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* 4.0 (* a c))))
0.1b	(- (* b b) (* 4.0 (* a c)))
0.2b	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
39.0b	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite27.0ms

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)))
10.0ms	(/ (- (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)))
25.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
17.0ms	(- (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

prune178.0ms

Filtered

62 candidates to 82 candidates (-32.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	70	12	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	12	83

Merged error: 5.5b

Counts

83 → 12

localize3.0ms

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

prune41.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	11	11
Picked	1	1
Done	0	0
Total	12	12

Merged error: 5.5b

Counts

12 → 12

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))

rewrite19.0ms

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)
11.0ms	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))

series11.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune141.0ms

Filtered

42 candidates to 68 candidates (-61.9%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	54	14	68
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	56	24	80

Merged error: 5.5b

Counts

80 → 24

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b	(* b (/ 2.0 c))
0.3b	(/ -2.0 (* b (/ 2.0 c)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

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

series6.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* b (/ 2.0 c))
3.0ms	(/ -2.0 (* b (/ 2.0 c)))

simplify61.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4971	444
1	4971	444

prune57.0ms

Filtered

40 candidates to 62 candidates (-55.0%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	55	7	62
Fresh	6	16	22
Picked	1	0	1
Done	0	1	1
Total	62	24	86

Merged error: 5.5b

Counts

86 → 24

regimes377.0ms

Accuracy

0% (6.8b remaining)

Error of 11.9b against oracle of 5.1b and baseline of 11.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

452.0ms	4874×	body	160	valid
246.0ms	8882×	pre	80	true
193.0ms	1354×	body	320	valid
85.0ms	1772×	body	80	valid
40.0ms	882×	body	80	nan

Details

analyze256.0ms

sample44.0ms

simplify202.0ms

prune8.0ms

localize10.0ms

rewrite27.0ms

series64.0ms

simplify39.0ms

prune178.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune41.0ms

localize7.0ms

rewrite19.0ms

series11.0ms

simplify42.0ms

prune141.0ms

localize5.0ms

rewrite15.0ms

series6.0ms

simplify61.0ms

prune57.0ms

regimes377.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling