Details

sample39.0ms

Algorithm

intervals

Results

17.0ms	383×	body	80	valid
5.0ms	146×	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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.2b	(* a (pow k m))
2.9b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite20.0ms

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	(+ (+ 1.0 (* 10.0 k)) (* k k))
5.0ms	(* a (pow k m))
8.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
57.0ms	(* a (pow k m))
120.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify56.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (47.0ms)

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

prune183.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (sqrt (pow k m)))
0.2b	(sqrt (pow k m))
0.2b	(sqrt (pow k m))
2.9b	(/ (* (* a (sqrt (pow k m))) (sqrt (pow k m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`sqrt-prod`
15×	`add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
10×	`associate-r`
6×	`pow1` `rem-sqrt-square` `sqr-pow`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-l` `associate-/r*`
2×	`sqrt-pow1` `pow1/2` `associate-/r/`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

4 → 91

Calls

4 calls:

6.0ms	(* a (sqrt (pow k m)))
5.0ms	(sqrt (pow k m))
2.0ms	(sqrt (pow k m))
13.0ms	(/ (* (* a (sqrt (pow k m))) (sqrt (pow k m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* a (sqrt (pow k m)))
61.0ms	(sqrt (pow k m))
63.0ms	(sqrt (pow k m))
116.0ms	(/ (* (* a (sqrt (pow k m))) (sqrt (pow k m))) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify60.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	457	770
1	2273	665
2	5003	648

prune320.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
0.3b	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
16.8b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.8b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-sqr-sqrt`
110×	`times-frac`
64×	`sqrt-prod`
61×	`add-cube-cbrt` `*-un-lft-identity`
48×	`associate-r`
30×	`add-exp-log`
24×	`unpow-prod-down` `associate-l`
21×	`unswap-sqr`
18×	`add-cbrt-cube`
12×	`sqr-pow`
11×	`div-exp`
10×	`sqrt-div`
8×	`pow1` `prod-exp`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 188

Calls

4 calls:

7.0ms	(/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
35.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
4.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
115.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
50.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
53.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify104.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	914	3143
1	4236	2930
2	5003	2826

prune529.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 2.9b

localize12.0ms

Local error

Found 4 expressions with local error:

2.9b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
2.9b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
5.6b	(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
5.6b	(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
18×	`sqrt-prod`
14×	`add-sqr-sqrt` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
8×	`div-exp` `associate-/r/`
6×	`pow1` `prod-exp` `associate-/r*`
4×	`cbrt-undiv` `flip3-+` `flip-+` `div-inv` `add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `pow-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 90

Calls

4 calls:

8.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
8.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
6.0ms	(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
7.0ms	(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

series657.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
117.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
209.0ms	(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
215.0ms	(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

simplify58.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	444	1270
1	1960	1148
2	5001	1140

prune361.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 2.9b

regimes94.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	11
1	19	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

542.0ms	11882×	body	80	valid
168.0ms	4350×	body	80	nan