Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	281×	body	80	valid
0.0hr	84×	body	80	nan

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	38	18
1	79	18
2	136	18
3	161	18
4	173	18
5	177	18
6	177	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: 17.8b

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))))
21.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.6b	(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	5002	540

prune0.0hr

Filtered

72 candidates to 55 candidates (23.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	6	73

Merged error: 6.7b

Counts

73 → 6

localize0.0hr

Local error

Found 4 expressions with local error:

12.6b	(- (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
21.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))
21.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

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

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (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)))
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	221	722
1	829	631
2	3533	612
3	5001	592

prune0.0hr

Filtered

72 candidates to 59 candidates (18.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Merged error: 6.7b

Counts

78 → 6

localize0.0hr

Local error

Found 4 expressions with local error:

5.0b	(+ (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
21.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.4b	(cbrt (- (* b b) (* (* 4.0 a) c)))
22.4b	(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

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	65	7	72

Merged error: 6.7b

Counts

72 → 7

localize0.0hr

Local error

Found 4 expressions with local error:

21.6b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.4b	(cbrt (- (* b b) (* (* 4.0 a) c)))
22.4b	(cbrt (- (* b b) (* (* 4.0 a) c)))
22.4b	(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	2689	582
3	5002	557

prune0.0hr

Filtered

66 candidates to 57 candidates (13.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	66	7	73

Merged error: 6.7b

Counts

73 → 7

regimes0.0hr

Accuracy

93.2% (0.8b remaining)

Error of 8.5b against oracle of 7.7b and baseline of 19.8b

bsearch0.0hr

Steps

Iters	Range		Point
9	3.740966656805541e+90	2.271321644956683e+99	1.0706833997838064e+97
8	-1.795609024723082e+157	-2.0984588557191883e+153	-1.3277288429394208e+154

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	51	59
1	51	59

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	8730×	body	80	valid
0.0hr	2788×	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