Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	285×	body	80	valid
0.0hr	85×	body	80	nan

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	35	18
1	66	18
2	116	18
3	144	18
4	159	18
5	161	18
6	161	18

prune0.0hr

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 17.7b

Counts

2 → 1

localize0.0hr

Local error

Found 4 expressions with local error:

0.8b	(- (* b b) (* (* 4.0 a) c))
1.4b	(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
20.7b	(sqrt (- (* b b) (* (* 4.0 a) c)))
20.7b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-log-exp`
7×	`sqrt-prod`
6×	`pow1` `add-cube-cbrt`
4×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--`
3×	`diff-log`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `neg-sub0` `distribute-rgt-neg-in` `neg-log`

Counts

4 → 60

Calls

4 calls:

0.0hr	(- (* b b) (* (* 4.0 a) c))
0.0hr	(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.0hr	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(sqrt (- (* b b) (* (* 4.0 a) c)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (* b b) (* (* 4.0 a) c))
0.0hr	(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.0hr	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify0.0hr

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	223	579
1	875	551
2	3958	543
3	5001	540

prune0.0hr

Filtered

72 candidates to 55 candidates (23.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Merged error: 7.0b

Counts

73 → 7

localize0.0hr

Local error

Found 4 expressions with local error:

6.7b	(+ (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
20.7b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.5b	(cbrt (- (* b b) (* (* 4.0 a) c)))
21.5b	(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1`
4×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
3×	`flip3--` `sqrt-prod` `flip--`
2×	`pow1/3` `sqrt-div` `sum-log`
1×	`+-commutative` `neg-sub0` `associate-+l-` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `neg-log` `flip-+`

Counts

4 → 54

Calls

4 calls:

0.0hr	(+ (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
0.0hr	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(+ (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
0.0hr	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify0.0hr

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	382	835
1	1434	761
2	5002	721

prune0.0hr

Filtered

66 candidates to 60 candidates (9.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	65	8	73

Merged error: 7.0b

Counts

73 → 8

localize0.0hr

Local error

Found 4 expressions with local error:

7.0b	(- (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
20.7b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.5b	(cbrt (- (* b b) (* (* 4.0 a) c)))
21.5b	(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1`
4×	`add-exp-log` `cbrt-div` `flip3--` `add-cbrt-cube` `flip--`
3×	`sqrt-prod`
2×	`pow1/3` `sqrt-div` `diff-log`
1×	`associate--l-` `neg-sub0` `sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `neg-log`

Counts

4 → 55

Calls

4 calls:

0.0hr	(- (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
0.0hr	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
0.0hr	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify0.0hr

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	377	866
1	1391	791
2	5001	755

prune0.0hr

Filtered

67 candidates to 60 candidates (10.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	65	10	75

Merged error: 7.0b

Counts

75 → 10

localize0.0hr

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.5b	(cbrt (- (* b b) (* (* 4.0 a) c)))
21.5b	(cbrt (- (* b b) (* (* 4.0 a) c)))
21.5b	(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

0.0hr	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))
0.0hr	(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify0.0hr

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (0.0hr)

Iter	Nodes	Cost
0	218	638
1	680	601
2	2559	588
3	5001	566

prune0.0hr

Filtered

66 candidates to 60 candidates (9.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	66	10	76

Merged error: 7.0b

Counts

76 → 10

regimes0.0hr

Accuracy

92.8% (0.9b remaining)

Error of 8.6b against oracle of 7.7b and baseline of 20.0b

bsearch0.0hr

Steps

Iters	Range		Point
9	4.7042291519900014e+117	6.035291922082352e+123	3.5449595393147723e+121
5	-3.2744474768933653e+117	-1.0908969818395097e+117	-3.0890888983305303e+117

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	55	59
1	55	59

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	8754×	body	80	valid
0.0hr	2796×	body	80	nan

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

Profiling