Details

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 19.042969%

Guaranteed chance to sample good point: 61.761158%

Results

31.0ms	383×	body	80	valid
1.0ms	32×	body	80	nan

simplify107.0ms

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

prune10.0ms

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: 1.1b

Counts

2 → 2

localize10.0ms

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))
1.1b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite22.0ms

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)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 1.0 (* 10.0 k))
14.0ms	(* a (pow k m))
2.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
35.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify59.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (50.0ms)

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

prune109.0ms

Filtered

63 candidates to 86 candidates (-36.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	84	4	88

Merged error: 1.1b

Counts

88 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.0b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.0b	(* (/ (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))
11.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
13.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series47.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* k (+ 10.0 k))
15.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
28.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify70.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (15.0ms)

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

prune163.0ms

Filtered

98 candidates to 129 candidates (-31.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	129	4	133

Merged error: 1.1b

Counts

133 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
13.8b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
13.8b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log` `sqrt-prod`
4×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

4 → 56

Calls

4 calls:

5.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
5.0ms	(+ (+ 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)))

series12.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
2.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
3.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify81.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	187	494
1	715	458
2	3083	436
3	5003	434

prune112.0ms

Filtered

52 candidates to 68 candidates (-30.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	68	4	72

Merged error: 1.1b

Counts

72 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
0.0b	(* k (+ 10.0 k))
0.2b	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
3.1b	(/ (+ 1.0 (* k (+ 10.0 k))) a)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

1073×	`times-frac`
500×	`add-sqr-sqrt` `*-un-lft-identity`
498×	`add-cube-cbrt`
198×	`unpow-prod-down`
105×	`associate-/r*`
70×	`add-exp-log`
66×	`sqr-pow`
51×	`div-exp`
43×	`div-inv`
22×	`add-cbrt-cube`
19×	`associate-/l*`
10×	`cbrt-undiv`
8×	`pow-to-exp` `pow-exp`
7×	`pow1` `rec-exp` `1-exp`
4×	`associate-r` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `associate-/l/`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 602

Calls

4 calls:

9.0ms	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
6.0ms	(* k (+ 10.0 k))
24.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
6.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

series68.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
4.0ms	(* k (+ 10.0 k))
28.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
6.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

simplify133.0ms

Algorithm

egg-herbie

Counts

614 → 614

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	2203	9184
1	5001	8752

prune1.0s

Filtered

380 candidates to 614 candidates (-61.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	614	0	614
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	614	4	618

Merged error: 1.1b

Counts

618 → 4

regimes141.0ms

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	15	6
1	15	6

end0.0ms

sample4.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 19.042969%

Guaranteed chance to sample good point: 61.761158%

Results

862.0ms	12066×	body	80	valid
53.0ms	1141×	body	80	nan

Details

sample2.8s

simplify107.0ms

prune10.0ms

localize10.0ms

rewrite22.0ms

series55.0ms

simplify59.0ms

prune109.0ms

localize9.0ms

rewrite34.0ms

series47.0ms

simplify70.0ms

prune163.0ms

localize14.0ms

rewrite19.0ms

series12.0ms

simplify81.0ms

prune112.0ms

localize10.0ms

rewrite87.0ms

series68.0ms

simplify133.0ms

prune1.0s

regimes141.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.4s

Profiling