Details

sample41.0ms

Algorithm

intervals

Results

16.0ms	387×	body	80	valid
9.0ms	162×	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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(+ 1.0 (* 10.0 k))
1.6b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

5.0ms	(* a (pow k m))
9.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
2.0ms	(+ 1.0 (* 10.0 k))
13.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* a (pow k m))
18.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
32.0ms	(+ 1.0 (* 10.0 k))
120.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify58.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	457	599
1	2146	533
2	5001	526

prune222.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
11.5b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
11.5b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`sqrt-prod`
55×	`add-sqr-sqrt`
53×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-exp-log` `sqrt-div`
16×	`associate-/r/`
13×	`add-cbrt-cube`
12×	`associate-/l*`
11×	`flip3-+` `flip-+`
9×	`div-exp`
8×	`div-inv`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`cbrt-undiv`
3×	`prod-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`+-commutative` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `sum-log` `cbrt-unprod` `associate-/l/`

Counts

4 → 152

Calls

4 calls:

2.0ms	(+ 1.0 (* 10.0 k))
33.0ms	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
10.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
10.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 1.0 (* 10.0 k))
113.0ms	(/ (/ (* a (pow k m)) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
52.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
52.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify90.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	745	3067
1	3221	2757
2	5001	2745

prune455.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(* k (+ 10.0 k))
0.4b	(/ 1 (+ 1.0 (* k (+ 10.0 k))))
1.6b	(* (* a (pow k m)) (/ 1 (+ 1.0 (* k (+ 10.0 k)))))

rewrite38.0ms

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))))
15.0ms	(* (* a (pow k m)) (/ 1 (+ 1.0 (* k (+ 10.0 k)))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* a (pow k m))
46.0ms	(* k (+ 10.0 k))
33.0ms	(/ 1 (+ 1.0 (* k (+ 10.0 k))))
118.0ms	(* (* a (pow k m)) (/ 1 (+ 1.0 (* k (+ 10.0 k)))))

simplify79.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (69.0ms)

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

prune315.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.6b

localize13.0ms

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)))))
1.6b	(* (* a (pow k m)) (/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
11.5b	(sqrt (+ 1.0 (* k (+ 10.0 k))))
11.5b	(sqrt (+ 1.0 (* k (+ 10.0 k))))

rewrite132.0ms

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))))))
2.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))
3.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))

series265.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k)))))
116.0ms	(* (* a (pow k m)) (/ (/ 1 (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ 1.0 (* k (+ 10.0 k))))))
56.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))
52.0ms	(sqrt (+ 1.0 (* k (+ 10.0 k))))

simplify94.0ms

Algorithm

egg-herbie

Counts

428 → 428

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1545	7058
1	5001	6074

prune912.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.6b

regimes56.0ms

Accuracy

0% (0.1b remaining)

Error of 2.3b against oracle of 2.2b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms

sample1.0s

Algorithm

intervals

Results

503.0ms	12128×	body	80	valid
148.0ms	4348×	body	80	nan