Details

sample37.0ms

Algorithm

intervals

Results

17.0ms	371×	body	80	valid
5.0ms	147×	body	80	nan

simplify107.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.4b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
2.6b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite55.0ms

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:

9.0ms	(* k (+ 10.0 k))
11.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
29.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series224.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* k (+ 10.0 k))
66.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
109.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify72.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (59.0ms)

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

prune348.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
2.6b	(* (/ (pow (cbrt k) m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite41.0ms

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:

0.0ms	(cbrt k)
0.0ms	(cbrt k)
0.0ms	(cbrt k)
36.0ms	(* (/ (pow (cbrt k) m) (+ (* k (+ 10.0 k)) 1.0)) a)

series698.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt k)
178.0ms	(cbrt k)
183.0ms	(cbrt k)
156.0ms	(* (/ (pow (cbrt k) m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify46.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (37.0ms)

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

prune423.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
3.0b	(/ (* (pow (cbrt k) m) a) (+ (* k (+ 10.0 k)) 1.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

0.0ms	(cbrt k)
0.0ms	(cbrt k)
0.0ms	(cbrt k)
12.0ms	(/ (* (pow (cbrt k) m) a) (+ (* k (+ 10.0 k)) 1.0))

series708.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt k)
188.0ms	(cbrt k)
181.0ms	(cbrt k)
161.0ms	(/ (* (pow (cbrt k) m) a) (+ (* k (+ 10.0 k)) 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	335	447
1	1425	383
2	5001	377

prune258.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 3.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
12.9b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
12.9b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite17.0ms

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:

0.0ms	(cbrt k)
0.0ms	(cbrt k)
7.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
7.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series463.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt k)
184.0ms	(cbrt k)
49.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
53.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (58.0ms)

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

prune263.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 3.0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 2.1b against oracle of 2.1b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	12
1	24	12

end0.0ms

sample956.0ms

Algorithm

intervals

Results

475.0ms	11895×	body	80	valid
141.0ms	4121×	body	80	nan