Details

sample66.0ms

Algorithm

intervals

Results

38.0ms	375×	body	80	valid
12.0ms	155×	body	80	nan

simplify102.0ms

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: 1.7b

localize13.0ms

Local error

Found 4 expressions with local error:

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

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

series221.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
31.0ms	(+ 1.0 (* 10.0 k))
58.0ms	(* a (pow k m))
110.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify56.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (49.0ms)

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

prune209.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.0b	(* a (pow k m))
0.2b	(/ 1 (+ 1.0 (* k (+ 10.0 k))))
1.7b	(* (* a (pow k m)) (/ 1 (+ 1.0 (* k (+ 10.0 k)))))

rewrite41.0ms

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:

12.0ms	(* k (+ 10.0 k))
5.0ms	(* a (pow k m))
4.0ms	(/ 1 (+ 1.0 (* k (+ 10.0 k))))
16.0ms	(* (* a (pow k m)) (/ 1 (+ 1.0 (* k (+ 10.0 k)))))

series241.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* k (+ 10.0 k))
59.0ms	(* a (pow k m))
32.0ms	(/ 1 (+ 1.0 (* k (+ 10.0 k))))
110.0ms	(* (* a (pow k m)) (/ 1 (+ 1.0 (* k (+ 10.0 k)))))

simplify86.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (70.0ms)

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

prune273.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(+ 1.0 (* 10.0 k))
0.0b	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
1.8b	(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 191

Calls

4 calls:

9.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
2.0ms	(+ 1.0 (* 10.0 k))
24.0ms	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
20.0ms	(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
35.0ms	(+ 1.0 (* 10.0 k))
61.0ms	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
114.0ms	(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

simplify106.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	884	2613
1	4163	2490
2	5003	2481

prune726.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
1.8b	(/ a (* (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (/ (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (pow k m))))
12.6b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
12.6b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

2.0ms	(+ 1.0 (* 10.0 k))
19.0ms	(/ a (* (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (/ (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (pow k m))))
10.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
10.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 1.0 (* 10.0 k))
112.0ms	(/ a (* (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (/ (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))) (pow k m))))
45.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
50.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify52.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	497	933
1	1862	778
2	5002	774

prune249.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.7b

regimes72.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 1.9b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	14
1	18	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s	11947×	body	80	valid
335.0ms	4299×	body	80	nan