Details

sample53.0ms

Algorithm

intervals

Results

26.0ms	387×	body	80	valid
6.0ms	137×	body	80	nan

simplify111.0ms

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

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.5b

Counts

2 → 2

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* a (pow k m))
0.5b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

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

series45.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* a (pow k m))
31.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify55.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	377	461
1	1918	407
2	5002	404

prune88.0ms

Filtered

42 candidates to 56 candidates (-33.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Merged error: 0.5b

Counts

58 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
0.0b	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
14.6b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
14.6b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

146×	`add-sqr-sqrt`
134×	`times-frac`
76×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
48×	`associate-r`
45×	`unpow-prod-down`
33×	`add-exp-log`
24×	`associate-l`
21×	`unswap-sqr`
19×	`sqr-pow`
18×	`add-cbrt-cube`
13×	`div-exp`
10×	`sqrt-div`
8×	`pow1` `prod-exp`
7×	`associate-/l*`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 218

Calls

4 calls:

8.0ms	(/ (pow k m) (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)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
31.0ms	(* (/ 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)))

simplify105.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	919	3710
1	4067	3468
2	5002	3363

prune411.0ms

Filtered

146 candidates to 230 candidates (-57.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	230	5	235

Merged error: 0.5b

Counts

235 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* a (pow k m))
0.3b	(/ 1 (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m))))
0.5b	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-exp-log`
36×	`times-frac`
29×	`add-sqr-sqrt`
26×	`div-exp`
24×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-cbrt-cube`
15×	`prod-exp`
8×	`associate-/r*`
7×	`cbrt-undiv` `associate-r`
6×	`div-inv` `associate-/l*`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`pow1` `unpow-prod-down`
3×	`associate-l` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/l/` `sqr-pow`
1×	`pow-flip` `flip3-+` `associate-/r/` `*-commutative` `flip-+` `inv-pow`

Counts

3 → 112

Calls

3 calls:

5.0ms	(* a (pow k m))
8.0ms	(/ 1 (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m))))
9.0ms	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m)))

series73.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* a (pow k m))
28.0ms	(/ 1 (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m))))
31.0ms	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m)))

simplify84.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	622	1288
1	3355	1143
2	5002	1103

prune115.0ms

Filtered

67 candidates to 121 candidates (-80.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	121	5	126

Merged error: 0.5b

Counts

126 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(pow (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))) 3)
0.5b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.0b	(cbrt (pow (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
24×	`cbrt-prod` `add-sqr-sqrt`
22×	`unpow-prod-down`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cube-prod`
17×	`add-cbrt-cube`
15×	`times-frac`
10×	`associate-/r/`
9×	`prod-exp`
8×	`div-exp` `pow-exp`
7×	`associate-r`
5×	`pow1` `flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `pow-to-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `associate-l` `associate-/r*` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`
2×	`cube-div` `cube-mult` `unpow3`
1×	`cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `-commutative` `rem-cbrt-cube` `associate-/l`

Counts

4 → 126

Calls

4 calls:

5.0ms	(* a (pow k m))
9.0ms	(pow (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))) 3)
8.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
6.0ms	(cbrt (pow (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))) 3))

series126.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* a (pow k m))
44.0ms	(pow (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))) 3)
34.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
34.0ms	(cbrt (pow (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))) 3))

simplify115.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	728	1533
1	4058	1467
2	5001	1459

prune178.0ms

Filtered

84 candidates to 138 candidates (-64.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	138	5	143

Merged error: 0.5b

Counts

143 → 5

regimes214.0ms

Accuracy

0% (0.0b remaining)

Error of 2.1b against oracle of 2.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

812.0ms	11995×	body	80	valid
192.0ms	4443×	body	80	nan

Details

sample53.0ms

simplify111.0ms

prune11.0ms

localize14.0ms

rewrite14.0ms

series45.0ms

simplify55.0ms

prune88.0ms

localize12.0ms

rewrite61.0ms

series60.0ms

simplify105.0ms

prune411.0ms

localize11.0ms

rewrite25.0ms

series73.0ms

simplify84.0ms

prune115.0ms

localize14.0ms

rewrite31.0ms

series126.0ms

simplify115.0ms

prune178.0ms

regimes214.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling