Details

sample35.0ms

Algorithm

intervals

Results

16.0ms	286×	body	80	valid
4.0ms	79×	body	80	nan

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 20.0b

Counts

2 → 1

localize114.0ms

Local error

Found 4 expressions with local error:

0.9b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.2b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
49×	`sqrt-prod`
38×	`*-un-lft-identity`
36×	`unswap-sqr`
32×	`difference-of-squares`
18×	`associate-l`
14×	`distribute-lft-out--`
12×	`add-log-exp`
6×	`pow1` `add-cube-cbrt` `swap-sqr` `*-commutative`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`flip3--` `flip--`
2×	`neg-sub0` `rem-sqrt-square` `distribute-rgt-neg-in` `sqrt-pow1` `pow1/2` `diff-log` `neg-log` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate--l-` `associate-+l-` `sub-neg` `flip3-+` `flip-+`

Counts

4 → 105

Calls

4 calls:

35.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
37.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
27.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
79.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
72.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
73.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify155.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (143.0ms)

Iter	Nodes	Cost
0	320	1102
1	1096	1062
2	4653	1047
3	5001	1033

prune375.0ms

Filtered

117 candidates to 72 candidates (61.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	109	8	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	8	118

Merged error: 7.6b

Counts

118 → 8

localize121.0ms

Local error

Found 4 expressions with local error:

22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

192×	`add-sqr-sqrt`
96×	`sqrt-prod`
72×	`unswap-sqr`
60×	`difference-of-squares`
56×	`*-un-lft-identity`
36×	`associate-l`
24×	`distribute-lft-out--`
12×	`swap-sqr` `*-commutative`
8×	`pow1` `add-cube-cbrt` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 144

Calls

4 calls:

22.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
26.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
69.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
69.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify88.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	203	1452
1	625	1432
2	2445	1428
3	5002	1396

prune512.0ms

Filtered

156 candidates to 84 candidates (53.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	156	8	164

Merged error: 7.6b

Counts

164 → 8

localize127.0ms

Local error

Found 4 expressions with local error:

22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

192×	`add-sqr-sqrt`
96×	`sqrt-prod`
72×	`unswap-sqr`
60×	`difference-of-squares`
56×	`*-un-lft-identity`
36×	`associate-l`
24×	`distribute-lft-out--`
12×	`swap-sqr` `*-commutative`
8×	`pow1` `add-cube-cbrt` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 144

Calls

4 calls:

22.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
26.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
69.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
70.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
70.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify86.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	203	1452
1	625	1432
2	2445	1428
3	5002	1396

prune602.0ms

Filtered

156 candidates to 84 candidates (53.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	156	8	164

Merged error: 7.6b

Counts

164 → 8

localize123.0ms

Local error

Found 4 expressions with local error:

22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

192×	`add-sqr-sqrt`
96×	`sqrt-prod`
72×	`unswap-sqr`
60×	`difference-of-squares`
56×	`*-un-lft-identity`
36×	`associate-l`
24×	`distribute-lft-out--`
12×	`swap-sqr` `*-commutative`
8×	`pow1` `add-cube-cbrt` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 144

Calls

4 calls:

23.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
26.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
72.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
68.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify87.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	203	1452
1	625	1432
2	2445	1428
3	5002	1396

prune497.0ms

Filtered

156 candidates to 84 candidates (53.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	156	8	164

Merged error: 7.6b

Counts

164 → 8

regimes223.0ms

Accuracy

87.5% (1.5b remaining)

Error of 8.7b against oracle of 7.2b and baseline of 19.6b

bsearch170.0ms

Steps

Iters	Range		Point
9	4.546949039871578e+116	7.0067478635952275e+121	1.799130866881706e+118
7	-5.802167618308309e+55	-1.5322109559450533e+54	-5.702871009382978e+55

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	74
1	57	74

end0.0ms

sample872.0ms

Algorithm

intervals

Results

478.0ms	8683×	body	80	valid
144.0ms	2863×	body	80	nan