Details

sample56.0ms

Algorithm

intervals

Results

27.0ms	391×	body	80	valid
6.0ms	148×	body	80	nan

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	24	7
1	48	7
2	96	6
3	256	6
4	891	6
5	3963	6
6	5002	6

prune14.0ms

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: 2.6b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
2.6b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite23.0ms

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:

2.0ms	(+ 1.0 (* 10.0 k))
5.0ms	(* a (pow k m))
5.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
8.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ 1.0 (* 10.0 k))
16.0ms	(* a (pow k m))
3.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
35.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify61.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	471	611
1	2227	545
2	5002	538

prune124.0ms

Filtered

86 candidates to 63 candidates (26.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	83	5	88

Merged error: 2.5b

Counts

88 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
2.6b	(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

rewrite36.0ms

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:

3.0ms	(+ 1.0 (* 10.0 k))
5.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
9.0ms	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
11.0ms	(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 1.0 (* 10.0 k))
3.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
18.0ms	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
39.0ms	(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

simplify114.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	906	2626
1	4259	2504
2	5002	2492

prune312.0ms

Filtered

203 candidates to 160 candidates (21.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	202	6	208

Merged error: 2.5b

Counts

208 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.2b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
2.4b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
45×	`times-frac`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt`
30×	`associate-l`
22×	`unpow-prod-down`
20×	`add-exp-log`
12×	`add-cbrt-cube`
8×	`sqr-pow`
7×	`pow1` `associate-r` `associate-/l*`
6×	`div-exp`
5×	`prod-exp` `unswap-sqr`
4×	`associate-/r/`
3×	`flip3-+` `associate-/r*` `cbrt-unprod` `flip-+` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `associate-r/` `pow-prod-down` `pow-exp` `-commutative` `div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-*l/` `clear-num` `distribute-lft-out`

Counts

3 → 120

Calls

3 calls:

6.0ms	(* k (+ 10.0 k))
9.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
14.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series53.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* k (+ 10.0 k))
16.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
32.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify73.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	627	1119
1	2587	1052
2	5001	1052

prune185.0ms

Filtered

129 candidates to 98 candidates (24.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	129	6	135

Merged error: 2.5b

Counts

135 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
0.1b	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
14.8b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
14.8b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite62.0ms

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))))
38.0ms	(* (/ 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)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ 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)))

simplify105.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	924	3150
1	4281	2938
2	5001	2834

prune383.0ms

Filtered

200 candidates to 132 candidates (34.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	200	6	206

Merged error: 2.5b

Counts

206 → 6

regimes172.0ms

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	15	7
1	15	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

833.0ms	11828×	body	80	valid
190.0ms	4184×	body	80	nan

Details

sample56.0ms

simplify106.0ms

prune14.0ms

localize11.0ms

rewrite23.0ms

series58.0ms

simplify61.0ms

prune124.0ms

localize11.0ms

rewrite36.0ms

series63.0ms

simplify114.0ms

prune312.0ms

localize12.0ms

rewrite34.0ms

series53.0ms

simplify73.0ms

prune185.0ms

localize14.0ms

rewrite62.0ms

series62.0ms

simplify105.0ms

prune383.0ms

regimes172.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling