Details

analyze271.0ms

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

13.0ms	132×	body	160	valid
8.0ms	277×	pre	80	true
6.0ms	124×	body	80	valid
1.0ms	21×	body	80	nan

simplify203.0ms

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: 26.3b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* 4.0 (* a c))))
0.2b	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
0.3b	(- (* b b) (* 4.0 (* a c)))
26.1b	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite29.0ms

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))))
10.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
4.0ms	(- (* b b) (* 4.0 (* a c)))
9.0ms	(- (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))))
25.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
9.0ms	(- (* b b) (* 4.0 (* a c)))
16.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify42.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5340	1316

prune180.0ms

Filtered

62 candidates to 82 candidates (-32.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	67	15	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	15	83

Merged error: 9.6b

Counts

83 → 15

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

prune56.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	14	14
Picked	1	1
Done	0	0
Total	15	15

Merged error: 9.6b

Counts

15 → 15

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (/ a b) c)
0.3b	(/ (* -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:

5.0ms	(* (/ a b) c)
9.0ms	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (/ a b) c)
6.0ms	(/ (* -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

prune163.0ms

Filtered

42 candidates to 68 candidates (-61.9%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	53	15	68
Fresh	0	13	13
Picked	1	0	1
Done	1	0	1
Total	55	28	83

Merged error: 9.5b

Counts

83 → 28

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

5.0ms	(/ -2.0 (* b (/ 2.0 c)))
6.0ms	(* b (/ 2.0 c))

series7.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify62.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4971	444
1	4971	444

prune62.0ms

Filtered

41 candidates to 62 candidates (-51.2%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	7	20	27
Picked	0	1	1
Done	0	0	0
Total	63	27	90

Merged error: 9.5b

Counts

90 → 27

regimes507.0ms

Accuracy

46.7% (7.3b remaining)

Error of 16.3b against oracle of 8.9b and baseline of 22.7b

bsearch9.0ms

Steps

Iters	Range		Point
2	1255.210246205162	1433.9011201018852	1411.5647608647948

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	97	41
1	97	41

end0.0ms

sample1.1s

Algorithm

intervals

Results

448.0ms	4464×	body	160	valid
252.0ms	8813×	pre	80	true
183.0ms	3536×	body	80	valid
41.0ms	813×	body	80	nan

Details

analyze271.0ms

sample39.0ms

simplify203.0ms

prune8.0ms

localize11.0ms

rewrite29.0ms

series64.0ms

simplify42.0ms

prune180.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune56.0ms

localize7.0ms

rewrite17.0ms

series11.0ms

simplify41.0ms

prune163.0ms

localize5.0ms

rewrite13.0ms

series7.0ms

simplify62.0ms

prune62.0ms

regimes507.0ms

bsearch9.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling