Details

sample61.0ms

Algorithm

intervals

Results

28.0ms	381×	body	80	valid
6.0ms	129×	body	80	nan

simplify114.0ms

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: 1.2b

Counts

2 → 2

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	(* a (pow k m))
1.2b	(/ (* 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:

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

series58.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 1.0 (* 10.0 k))
3.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
15.0ms	(* a (pow k m))
36.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify64.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (56.0ms)

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

prune114.0ms

Filtered

63 candidates to 86 candidates (-36.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	85	3	88

Merged error: 1.2b

Counts

88 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow k m) (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)))))
16.1b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.1b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite66.0ms

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:

9.0ms	(/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
37.0ms	(* (/ 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)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
34.0ms	(* (/ 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)))

simplify115.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 2 (82.0ms)

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

prune436.0ms

Filtered

148 candidates to 230 candidates (-55.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	230	3	233

Merged error: 1.2b

Counts

233 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* k (+ 10.0 k)))
0.0b	(* k (+ 10.0 k))
0.1b	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
3.8b	(/ (+ 1.0 (* k (+ 10.0 k))) a)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

910×	`times-frac`
416×	`add-sqr-sqrt` `*-un-lft-identity`
414×	`add-cube-cbrt`
156×	`unpow-prod-down`
98×	`associate-/r*`
57×	`add-exp-log`
52×	`sqr-pow`
42×	`div-exp`
34×	`div-inv`
17×	`add-cbrt-cube`
7×	`pow1` `cbrt-undiv` `rec-exp` `1-exp`
6×	`pow-to-exp` `pow-exp` `associate-/l*` `add-log-exp`
4×	`associate-r`
3×	`flip3-+` `associate-l` `flip-+`
2×	`distribute-rgt-in` `associate-+r+` `frac-2neg` `distribute-lft-in` `associate-*r/` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `pow-prod-down` `prod-exp` `sum-log` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 485

Calls

4 calls:

3.0ms	(+ 1.0 (* k (+ 10.0 k)))
6.0ms	(* k (+ 10.0 k))
22.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
6.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

series50.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1.0 (* k (+ 10.0 k)))
5.0ms	(* k (+ 10.0 k))
30.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
7.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

simplify116.0ms

Algorithm

egg-herbie

Counts

497 → 497

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	2124	7395
1	5001	6998

prune747.0ms

Filtered

289 candidates to 497 candidates (-72.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	497	0	497
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	497	3	500

Merged error: 1.2b

Counts

500 → 3

regimes191.0ms

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

sample1.7s

Algorithm

intervals

Results

875.0ms	11973×	body	80	valid
203.0ms	4363×	body	80	nan

Details

sample61.0ms

simplify114.0ms

prune11.0ms

localize11.0ms

rewrite23.0ms

series58.0ms

simplify64.0ms

prune114.0ms

localize14.0ms

rewrite66.0ms

series64.0ms

simplify115.0ms

prune436.0ms

localize11.0ms

rewrite76.0ms

series50.0ms

simplify116.0ms

prune747.0ms

regimes191.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling