Details

sample65.0ms

Algorithm

intervals

Results

39.0ms	369×	body	80	valid
10.0ms	141×	body	80	nan

simplify103.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

5.0ms	(* a (pow k m))
9.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
13.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* a (pow k m))
18.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
113.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify52.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	405	548
1	1965	482
2	5001	475

prune175.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(* k (+ 10.0 k))
0.6b	(/ 1 (+ 1.0 (* k (+ 10.0 k))))
0.7b	(* (* a (pow k m)) (/ 1 (+ 1.0 (* k (+ 10.0 k)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
32×	`prod-exp`
31×	`add-sqr-sqrt`
26×	`-un-lft-identity` `associate-r*`
24×	`add-cube-cbrt`
22×	`add-cbrt-cube`
18×	`times-frac`
10×	`div-exp`
9×	`pow1`
8×	`cbrt-unprod`
7×	`associate-l`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`unpow-prod-down` `associate-/r/` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `flip3-+` `associate-r/` `associate-/r` `-commutative` `flip-+` `associate-/l`
2×	`pow-prod-down` `div-inv` `sqr-pow`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `un-div-inv` `distribute-lft-out` `inv-pow`

Counts

4 → 128

Calls

4 calls:

5.0ms	(* a (pow k m))
9.0ms	(* k (+ 10.0 k))
4.0ms	(/ 1 (+ 1.0 (* k (+ 10.0 k))))
18.0ms	(* (* a (pow k m)) (/ 1 (+ 1.0 (* k (+ 10.0 k)))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* a (pow k m))
40.0ms	(* k (+ 10.0 k))
36.0ms	(/ 1 (+ 1.0 (* k (+ 10.0 k))))
110.0ms	(* (* a (pow k m)) (/ 1 (+ 1.0 (* k (+ 10.0 k)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	634	958
1	3411	839
2	5001	812

prune270.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
0.0b	(* k (+ 10.0 k))
0.2b	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
3.8b	(/ (+ 1.0 (* k (+ 10.0 k))) a)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

1073×	`times-frac`
500×	`add-sqr-sqrt` `*-un-lft-identity`
498×	`add-cube-cbrt`
198×	`unpow-prod-down`
105×	`associate-/r*`
70×	`add-exp-log`
66×	`sqr-pow`
51×	`div-exp`
43×	`div-inv`
22×	`add-cbrt-cube`
19×	`associate-/l*`
10×	`cbrt-undiv`
8×	`pow-to-exp` `pow-exp`
7×	`pow1` `rec-exp` `1-exp`
4×	`associate-r` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `associate-/l/`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 602

Calls

4 calls:

16.0ms	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
9.0ms	(* k (+ 10.0 k))
25.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
8.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

series285.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
40.0ms	(* k (+ 10.0 k))
99.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
44.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

simplify122.0ms

Algorithm

egg-herbie

Counts

614 → 614

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2178	9172
1	5002	8740

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k)))))
0.7b	(* (* a (pow k m)) (/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
16.4b	(sqrt (+ 1.0 (* k (+ 10.0 k))))
16.4b	(sqrt (+ 1.0 (* k (+ 10.0 k))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

522×	`times-frac`
276×	`add-sqr-sqrt`
274×	`add-cube-cbrt` `*-un-lft-identity`
270×	`sqrt-prod`
150×	`associate-r`
83×	`add-exp-log`
35×	`prod-exp`
34×	`sqrt-div`
30×	`div-exp` `associate-/r/` `add-cbrt-cube`
24×	`associate-/l*`
17×	`flip3-+` `flip-+`
15×	`pow1` `div-inv`
9×	`cbrt-undiv` `cbrt-unprod`
6×	`sqrt-pow1` `pow1/2` `associate-/r*` `pow-div`
5×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `pow-exp`
4×	`add-log-exp`
2×	`rem-sqrt-square`
1×	`frac-2neg` `associate-r/` `associate-l` `pow-prod-down` `clear-num` `-commutative` `associate-/l/` `inv-pow`

Counts

4 → 416

Calls

4 calls:

16.0ms	(/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k)))))
55.0ms	(* (* a (pow k m)) (/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
3.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))
3.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))

series247.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k)))))
113.0ms	(* (* a (pow k m)) (/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
46.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))
53.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))

simplify92.0ms

Algorithm

egg-herbie

Counts

428 → 428

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1545	7058
1	5001	6074

prune845.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.9b

regimes87.0ms

Accuracy

0% (0.1b remaining)

Error of 2.2b against oracle of 2.1b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s	11984×	body	80	valid
310.0ms	4172×	body	80	nan