Details

analyze476.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

sample43.0ms

Algorithm

intervals

Results

10.0ms	176×	body	80	valid
8.0ms	31×	body	1280	valid
7.0ms	24×	body	2560	valid
2.0ms	12×	body	640	valid
1.0ms	29×	body	80	nan
1.0ms	8×	body	320	valid
1.0ms	2×	body	5120	valid
1.0ms	10×	body	80	invalid
0.0ms	3×	body	160	valid

simplify186.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (185.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune11.0ms

Filtered

1 candidates to 1 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: 30.0b

Counts

2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (* a c))
0.6b	(- (* b b) (* 3.0 (* a c)))
1.0b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)
19.7b	(sqrt (- (* b b) (* 3.0 (* a c))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity` `add-log-exp`
6×	`add-cube-cbrt`
4×	`sqrt-prod`
3×	`flip3--` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`sub-neg` `sqrt-div` `diff-log` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative` `distribute-lft-out--`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* 3.0 (* a c))
4.0ms	(- (* b b) (* 3.0 (* a c)))
7.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)
4.0ms	(sqrt (- (* b b) (* 3.0 (* a c))))

series42.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 3.0 (* a c))
9.0ms	(- (* b b) (* 3.0 (* a c)))
15.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)
15.0ms	(sqrt (- (* b b) (* 3.0 (* a c))))

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4938	809
1	4938	809

prune137.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	64	8	72

Merged error: 9.3b

Counts

72 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.6b	(- (* b b) (* (* 3.0 a) c))
1.0b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
19.7b	(sqrt (- (* b b) (* (* 3.0 a) c)))

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:

10.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
4.0ms	(- (* b b) (* (* 3.0 a) c))
7.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
4.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
9.0ms	(- (* b b) (* (* 3.0 a) c))
17.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
14.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify35.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4931	1311
1	4931	1311

prune146.0ms

Filtered

59 candidates to 82 candidates (-39.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	75	7	82
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	80	10	90

Merged error: 5.3b

Counts

90 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (* a c))
0.6b	(- (* b b) (* 3.0 (* a c)))
1.0b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)
19.7b	(sqrt (- (* b b) (* 3.0 (* a c))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity` `add-log-exp`
6×	`add-cube-cbrt`
4×	`sqrt-prod`
3×	`flip3--` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`sub-neg` `sqrt-div` `diff-log` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative` `distribute-lft-out--`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* 3.0 (* a c))
4.0ms	(- (* b b) (* 3.0 (* a c)))
7.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)
4.0ms	(sqrt (- (* b b) (* 3.0 (* a c))))

series42.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
9.0ms	(- (* b b) (* 3.0 (* a c)))
16.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)
14.0ms	(sqrt (- (* b b) (* 3.0 (* a c))))

simplify43.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4938	809
1	4938	809

prune117.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	70	10	80

Merged error: 5.3b

Counts

80 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (* a c))
0.6b	(- (* b b) (* 3.0 (* a c)))
4.2b	(- (/ (sqrt (- (* b b) (* 3.0 (* a c)))) (* 3.0 a)) (/ b (* 3.0 a)))
19.7b	(sqrt (- (* b b) (* 3.0 (* a c))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `*-un-lft-identity`
9×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-log-exp`
6×	`add-cube-cbrt`
3×	`flip3--` `associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `flip--` `cbrt-unprod`
2×	`sub-neg` `times-frac` `sqrt-div` `diff-log` `div-inv` `distribute-lft-out--`
1×	`rem-sqrt-square` `distribute-rgt-out--` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative` `frac-sub` `sub-div` `difference-of-squares`

Counts

4 → 61

Calls

4 calls:

5.0ms	(* 3.0 (* a c))
4.0ms	(- (* b b) (* 3.0 (* a c)))
13.0ms	(- (/ (sqrt (- (* b b) (* 3.0 (* a c)))) (* 3.0 a)) (/ b (* 3.0 a)))
4.0ms	(sqrt (- (* b b) (* 3.0 (* a c))))

series48.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 3.0 (* a c))
9.0ms	(- (* b b) (* 3.0 (* a c)))
22.0ms	(- (/ (sqrt (- (* b b) (* 3.0 (* a c)))) (* 3.0 a)) (/ b (* 3.0 a)))
14.0ms	(sqrt (- (* b b) (* 3.0 (* a c))))

simplify32.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4979	1007
1	4979	1007

prune97.0ms

Filtered

53 candidates to 73 candidates (-37.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	73	10	83

Merged error: 5.3b

Counts

83 → 10

regimes501.0ms

Accuracy

84.2% (4.4b remaining)

Error of 10.1b against oracle of 5.7b and baseline of 33.3b

bsearch56.0ms

Steps

Iters	Range		Point
8	8.079939767819691e-82	2.3368548387270268e-79	5.900622451409581e-81
10	-4.664621091098017e+166	-4.782864979737824e+149	-1.84068970466224e+150

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	88	44
1	88	44

end0.0ms

sample1.3s

Algorithm

intervals

Results

323.0ms	1021×	body	2560	valid
296.0ms	5258×	body	80	valid
231.0ms	884×	body	1280	valid
90.0ms	436×	body	640	valid
38.0ms	102×	body	5120	valid
36.0ms	683×	body	80	nan
33.0ms	202×	body	320	valid
20.0ms	376×	body	80	invalid
10.0ms	97×	body	160	valid

Details

analyze476.0ms

sample43.0ms

simplify186.0ms

prune11.0ms

localize14.0ms

rewrite21.0ms

series42.0ms

simplify41.0ms

prune137.0ms

localize10.0ms

rewrite27.0ms

series65.0ms

simplify35.0ms

prune146.0ms

localize11.0ms

rewrite22.0ms

series42.0ms

simplify43.0ms

prune117.0ms

localize15.0ms

rewrite28.0ms

series48.0ms

simplify32.0ms

prune97.0ms

regimes501.0ms

bsearch56.0ms

simplify2.0ms

end0.0ms

sample1.3s

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