Details

sample56.0ms

Algorithm

intervals

Results

11.0ms	32×	body	1280	valid
9.0ms	35×	body	2560	valid
9.0ms	185×	body	80	valid
4.0ms	91×	body	80	nan
2.0ms	13×	body	640	valid
1.0ms	3×	body	5120	valid
1.0ms	7×	body	320	valid
0.0ms	2×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	42	9
2	76	9
3	94	9
4	102	9
5	102	9

prune4.0ms

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: 34.6b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.4b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.8b	(- (* b b) (* (* 3.0 a) c))
22.7b	(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`pow1` `times-frac` `associate-/l*`
3×	`distribute-rgt-neg-in` `sqrt-prod`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3--` `flip3-+` `sqrt-div` `div-exp` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `neg-log` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 70

Calls

4 calls:

11.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
3.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
73.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
43.0ms	(- (* b b) (* (* 3.0 a) c))
72.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify45.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	391	774
1	1518	684
2	5001	674

prune366.0ms

Filtered

82 candidates to 63 candidates (76.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	68	14	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	14	83

Merged error: 5.5b

Counts

83 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.4b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.8b	(- (* b b) (* (* 3.0 a) c))
22.7b	(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `*-un-lft-identity` `add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
3×	`associate-r` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`flip3--` `sqrt-div` `sum-log` `flip--` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+l-` `sub-neg` `rem-sqrt-square` `distribute-rgt-neg-in` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `associate-l` `neg-log` `*-commutative` `flip-+`

Counts

4 → 60

Calls

4 calls:

5.0ms	(* (* 3.0 a) c)
7.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
3.0ms	(- (* b b) (* (* 3.0 a) c))
6.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* 3.0 a) c)
77.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
42.0ms	(- (* b b) (* (* 3.0 a) c))
71.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify40.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	302	468
1	1299	428
2	5002	417

prune271.0ms

Filtered

72 candidates to 52 candidates (72.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	72	14	86

Merged error: 5.5b

Counts

86 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (* a c))
0.4b	(+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
0.8b	(- (* b b) (* 3.0 (* a c)))
22.7b	(sqrt (- (* b b) (* 3.0 (* a c))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `*-un-lft-identity` `add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
3×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`flip3--` `sqrt-div` `sum-log` `flip--` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+l-` `sub-neg` `rem-sqrt-square` `distribute-rgt-neg-in` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `associate-r` `neg-log` `*-commutative` `flip-+`

Counts

4 → 60

Calls

4 calls:

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

series208.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* 3.0 (* a c))
76.0ms	(+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
45.0ms	(- (* b b) (* 3.0 (* a c)))
67.0ms	(sqrt (- (* b b) (* 3.0 (* a c))))

simplify126.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	292	467
1	1079	427
2	4710	416
3	5001	415

prune262.0ms

Filtered

72 candidates to 50 candidates (69.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	72	14	86

Merged error: 5.5b

Counts

86 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (* 3.0 a))
0.4b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.8b	(- (* b b) (* (* 3.0 a) c))
22.7b	(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
11×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-cbrt-cube`
8×	`pow1` `add-sqr-sqrt`
7×	`add-cube-cbrt`
4×	`div-exp`
3×	`times-frac` `prod-exp` `sqrt-prod` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `flip3--` `pow-flip` `sqrt-div` `1-exp` `sum-log` `flip--` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+l-` `sub-neg` `rem-sqrt-square` `distribute-rgt-neg-in` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `pow-prod-down` `neg-log` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `div-inv` `inv-pow`

Counts

4 → 70

Calls

4 calls:

4.0ms	(/ 1 (* 3.0 a))
7.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
3.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ 1 (* 3.0 a))
76.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
45.0ms	(- (* b b) (* (* 3.0 a) c))
71.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify41.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	333	489
1	1378	443
2	5002	427

prune237.0ms

Filtered

82 candidates to 54 candidates (65.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	5	7	12
Picked	0	1	1
Done	0	1	1
Total	85	11	96

Merged error: 5.5b

Counts

96 → 11

regimes681.0ms

Accuracy

88.2% (3.3b remaining)

Error of 9.0b against oracle of 5.7b and baseline of 33.9b

bsearch239.0ms

Steps

Iters	Range		Point
9	20077549570157524.0	7.523642411179348e+25	3.2727529263726167e+18
10	6.312365209461493e-116	1.3971525776333276e-97	7.671926489464483e-116
10	-7.058895688443122e+124	-6.893464757908534e+110	-1.900418612876444e+118

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	29
1	51	29
2	51	29

end0.0ms

sample1.5s

Algorithm

intervals

Results

285.0ms	1041×	body	2560	valid
283.0ms	5907×	body	80	valid
201.0ms	914×	body	1280	valid
130.0ms	2922×	body	80	nan
80.0ms	456×	body	640	valid
32.0ms	99×	body	5120	valid
28.0ms	216×	body	320	valid
10.0ms	114×	body	160	valid

Details

sample56.0ms

simplify9.0ms

prune4.0ms

localize10.0ms

rewrite27.0ms

series325.0ms

simplify45.0ms

prune366.0ms

localize11.0ms

rewrite23.0ms

series209.0ms

simplify40.0ms

prune271.0ms

localize11.0ms

rewrite23.0ms

series208.0ms

simplify126.0ms

prune262.0ms

localize11.0ms

rewrite20.0ms

series210.0ms

simplify41.0ms

prune237.0ms

regimes681.0ms

bsearch239.0ms

simplify2.0ms

end0.0ms

sample1.5s

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