Details

sample51.0ms

Algorithm

intervals

Results

29.0ms	392×	body	80	valid
5.0ms	137×	body	80	nan

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	24	7
1	48	7
2	96	6
3	256	6
4	891	6
5	3963	6
6	5002	6

prune7.0ms

Filtered

1 candidates to 1 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: 2.1b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.0b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
2.1b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
45×	`times-frac`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt`
30×	`associate-l`
22×	`unpow-prod-down`
20×	`add-exp-log`
12×	`add-cbrt-cube`
8×	`sqr-pow`
7×	`pow1` `associate-r` `associate-/l*`
6×	`div-exp`
5×	`prod-exp` `unswap-sqr`
4×	`associate-/r/`
3×	`flip3-+` `associate-/r*` `cbrt-unprod` `flip-+` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `associate-r/` `pow-prod-down` `pow-exp` `-commutative` `div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-*l/` `clear-num` `distribute-lft-out`

Counts

3 → 120

Calls

3 calls:

6.0ms	(* k (+ 10.0 k))
9.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
14.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series218.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* k (+ 10.0 k))
64.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
106.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify72.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	608	1105
1	2523	1041
2	5001	1035

prune270.0ms

Filtered

129 candidates to 98 candidates (76.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	124	5	129
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	126	5	131

Merged error: 2.1b

Counts

131 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))
0.0b	(* k (+ 10.0 k))
0.0b	(/ 1 (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m)))
2.1b	(* (/ 1 (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))) a)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

332×	`times-frac`
201×	`add-sqr-sqrt`
179×	`*-un-lft-identity`
173×	`add-cube-cbrt`
83×	`associate-l`
77×	`unpow-prod-down`
69×	`add-exp-log`
37×	`div-exp`
32×	`associate-/r*`
27×	`sqr-pow`
22×	`add-cbrt-cube`
14×	`prod-exp`
10×	`div-inv` `unswap-sqr`
9×	`pow1`
8×	`rec-exp` `1-exp`
7×	`cbrt-undiv` `pow-to-exp` `associate-r` `pow-exp`
6×	`associate-/l*`
4×	`cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `associate-/r/` `-commutative` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `associate-*l/` `distribute-lft-out` `inv-pow`

Counts

4 → 318

Calls

4 calls:

10.0ms	(/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))
6.0ms	(* k (+ 10.0 k))
12.0ms	(/ 1 (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m)))
24.0ms	(* (/ 1 (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))) a)

series286.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))
46.0ms	(* k (+ 10.0 k))
62.0ms	(/ 1 (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m)))
109.0ms	(* (/ 1 (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))) a)

simplify61.0ms

Algorithm

egg-herbie

Counts

330 → 330

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1178	3514
1	5002	3211

prune646.0ms

Filtered

330 candidates to 230 candidates (69.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	330	0	330
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	330	5	335

Merged error: 2.1b

Counts

335 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
2.1b	(* (/ (pow (cbrt k) m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`associate-l`
34×	`times-frac`
28×	`add-cube-cbrt` `*-un-lft-identity`
20×	`unpow-prod-down`
19×	`cbrt-prod`
14×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`pow1`
5×	`unswap-sqr`
4×	`prod-exp` `add-log-exp` `sqr-pow`
3×	`pow1/3` `div-exp` `associate-r`
2×	`associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `pow-to-exp` `flip3-+` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `flip-+` `div-inv`

Counts

4 → 93

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
1.0ms	(cbrt k)
21.0ms	(* (/ (pow (cbrt k) m) (+ (* k (+ 10.0 k)) 1.0)) a)

series884.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt k)
369.0ms	(cbrt k)
183.0ms	(cbrt k)
157.0ms	(* (/ (pow (cbrt k) m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify47.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	443	771
1	1573	707
2	5001	701

prune335.0ms

Filtered

105 candidates to 90 candidates (85.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Merged error: 2.1b

Counts

110 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow k m) a)
0.0b	(* k (+ 10.0 k))
2.1b	(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
17×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-l`
7×	`associate-r` `prod-exp`
5×	`pow1`
4×	`unpow-prod-down` `div-exp` `unswap-sqr`
3×	`times-frac` `associate-/r*` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `flip3-+` `associate-r/` `pow-exp` `associate-/r/` `-commutative` `flip-+` `sqr-pow`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

3 → 73

Calls

3 calls:

5.0ms	(* (pow k m) a)
6.0ms	(* k (+ 10.0 k))
10.0ms	(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

series246.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(* (pow k m) a)
47.0ms	(* k (+ 10.0 k))
102.0ms	(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	439	492
1	2038	440
2	5002	436

prune139.0ms

Filtered

82 candidates to 57 candidates (69.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	83	4	87

Merged error: 2.1b

Counts

87 → 4

regimes59.0ms

Accuracy

0% (0.0b remaining)

Error of 1.9b against oracle of 1.9b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

794.0ms	12001×	body	80	valid
181.0ms	4300×	body	80	nan

Details

sample51.0ms

simplify108.0ms

prune7.0ms

localize9.0ms

rewrite33.0ms

series218.0ms

simplify72.0ms

prune270.0ms

localize15.0ms

rewrite68.0ms

series286.0ms

simplify61.0ms

prune646.0ms

localize16.0ms

rewrite28.0ms

series884.0ms

simplify47.0ms

prune335.0ms

localize9.0ms

rewrite23.0ms

series246.0ms

simplify60.0ms

prune139.0ms

regimes59.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling