Details

sample50.0ms

Algorithm

intervals

Results

27.0ms	393×	body	80	valid
6.0ms	135×	body	80	nan

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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: 1.9b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
1.9b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log`
7×	`add-cbrt-cube` `add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
3×	`times-frac` `prod-exp` `associate-/r*` `sum-log`
2×	`pow1` `cbrt-undiv` `flip3-+` `associate-/r/` `flip-+`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `frac-2neg` `pow-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 38

Calls

2 calls:

5.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
12.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
116.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify44.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	352	433
1	1606	376
2	5002	367

prune98.0ms

Filtered

44 candidates to 31 candidates (70.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Merged error: 1.9b

Counts

46 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* k (+ 10.0 k)) 1.0)
0.0b	(* k (+ 10.0 k))
0.3b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.7b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

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

series233.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (* k (+ 10.0 k)) 1.0)
46.0ms	(* k (+ 10.0 k))
67.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
102.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify75.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	618	1187
1	2587	1116
2	5001	1109

prune290.0ms

Filtered

145 candidates to 110 candidates (75.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	145	4	149

Merged error: 1.9b

Counts

149 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
1.4b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) (* (cbrt a) (cbrt a)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
27×	`add-sqr-sqrt` `associate-l`
24×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`prod-exp` `add-cbrt-cube`
10×	`unpow-prod-down`
9×	`pow1` `cbrt-prod`
6×	`div-exp` `cbrt-unprod`
4×	`add-log-exp` `unswap-sqr` `sqr-pow`
3×	`pow1/3` `pow-prod-down`
2×	`cbrt-undiv` `pow-to-exp` `pow-exp` `associate-/r/`
1×	`flip3-+` `associate-r` `associate-l/` `-commutative` `flip-+` `div-inv`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
17.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) (* (cbrt a) (cbrt a)))

series734.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt a)
184.0ms	(cbrt a)
177.0ms	(cbrt a)
195.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) (* (cbrt a) (cbrt a)))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	518	862
1	2087	707
2	5002	675

prune270.0ms

Filtered

100 candidates to 81 candidates (81.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	100	4	104

Merged error: 1.9b

Counts

104 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3)
0.3b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.7b	(* (cbrt (pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3)) a)
4.1b	(cbrt (pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

153×	`unpow-prod-down` `times-frac`
134×	`add-sqr-sqrt`
130×	`cbrt-prod`
109×	`add-cube-cbrt` `*-un-lft-identity`
85×	`cube-prod`
63×	`associate-l`
28×	`sqr-pow`
17×	`add-exp-log`
14×	`associate-/r/`
11×	`unswap-sqr`
10×	`add-cbrt-cube`
7×	`pow1` `flip3-+` `flip-+` `div-inv` `associate-/l*`
6×	`div-exp` `pow-exp`
4×	`add-log-exp`
3×	`cube-div` `cube-mult` `pow-to-exp` `pow-unpow` `unpow3` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `cbrt-div` `rem-cube-cbrt`
1×	`pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 282

Calls

4 calls:

13.0ms	(pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3)
10.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
23.0ms	(* (cbrt (pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3)) a)
13.0ms	(cbrt (pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3))

series321.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3)
67.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
101.0ms	(* (cbrt (pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3)) a)
63.0ms	(cbrt (pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3))

simplify141.0ms

Algorithm

egg-herbie

Counts

294 → 294

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	987	3285
1	4489	3142
2	5002	3133

prune698.0ms

Filtered

294 candidates to 163 candidates (55.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	294	0	294
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	294	4	298

Merged error: 1.9b

Counts

298 → 4

regimes84.0ms

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	16	7
1	16	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

844.0ms	12060×	body	80	valid
183.0ms	4221×	body	80	nan