Details

sample36.0ms

Algorithm

intervals

Results

17.0ms	388×	body	80	valid
4.0ms	130×	body	80	nan

simplify104.0ms

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: 2.2b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.3b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.9b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite38.0ms

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

series218.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* k (+ 10.0 k))
70.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
106.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify70.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (57.0ms)

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

prune294.0ms

Filtered

129 candidates to 98 candidates (76.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	126	5	131

Merged error: 2.1b

Counts

131 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* k (+ 10.0 k))
2.2b	(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

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

series153.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* k (+ 10.0 k))
105.0ms	(/ (* (pow k m) a) (+ (* k (+ 10.0 k)) 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	394	377
1	1813	334
2	5001	331

prune107.0ms

Filtered

54 candidates to 36 candidates (66.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	54	5	59

Merged error: 2.1b

Counts

59 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
14.5b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
14.5b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `flip-+`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
6.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
6.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series473.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt k)
181.0ms	(cbrt k)
54.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
48.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	175	324
1	517	312
2	2334	300
3	5002	298

prune219.0ms

Filtered

64 candidates to 54 candidates (84.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	64	5	69

Merged error: 2.1b

Counts

69 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3)
0.3b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.9b	(* (cbrt (pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3)) a)
7.2b	(cbrt (pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3))

rewrite74.0ms

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:

12.0ms	(pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3)
9.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
27.0ms	(* (cbrt (pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3)) a)
12.0ms	(cbrt (pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3))

series509.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3)
68.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
103.0ms	(* (cbrt (pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3)) a)
73.0ms	(cbrt (pow (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) 3))

simplify130.0ms

Algorithm

egg-herbie

Counts

294 → 294

Iterations

Useful iterations: 2 (96.0ms)

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

prune585.0ms

Filtered

294 candidates to 163 candidates (55.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	294	0	294
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	294	5	299

Merged error: 2.1b

Counts

299 → 5

regimes68.0ms

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	15	6
1	15	6

end0.0ms

sample962.0ms

Algorithm

intervals

Results

502.0ms	11818×	body	80	valid
137.0ms	4081×	body	80	nan