Details

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

sample45.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
9.0ms	113×	body	80	invalid
3.0ms	60×	body	80	nan

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4961	13
1	4961	13

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: 1.5b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
1.5b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ 1.0 (* 10.0 k))
8.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series38.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4942	567
1	4942	567

prune53.0ms

Filtered

31 candidates to 42 candidates (-35.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0.0b

Counts

44 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (/ (pow k m) (pow k 3)) a) (- (/ 99.0 k) 10.0))
1.5b	(* (/ (pow k m) (pow k 3)) a)
2.1b	(* (/ a k) (/ (pow k m) k))
8.2b	(/ (pow k m) (pow k 3))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

221×	`times-frac`
183×	`add-sqr-sqrt`
138×	`unpow-prod-down`
125×	`*-un-lft-identity`
123×	`add-cube-cbrt`
102×	`associate-l`
98×	`add-exp-log`
52×	`sqr-pow`
48×	`cube-prod`
39×	`prod-exp`
37×	`div-exp`
34×	`associate-r`
32×	`add-cbrt-cube`
21×	`unswap-sqr`
20×	`pow-to-exp` `pow-exp`
15×	`cube-mult` `unpow3`
13×	`pow1`
12×	`associate-/r*`
11×	`cbrt-unprod`
7×	`cbrt-undiv` `associate-/l*`
6×	`associate-*l/`
5×	`pow-prod-down`
4×	`div-inv` `add-log-exp`
3×	`frac-times` `associate-r/` `-commutative`
2×	`sub-neg` `flip3--` `flip--` `difference-of-squares`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `distribute-lft-out--` `pow-div`

Counts

4 → 358

Calls

4 calls:

22.0ms	(* (* (/ (pow k m) (pow k 3)) a) (- (/ 99.0 k) 10.0))
18.0ms	(* (/ (pow k m) (pow k 3)) a)
14.0ms	(* (/ a k) (/ (pow k m) k))
7.0ms	(/ (pow k m) (pow k 3))

series101.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* (/ (pow k m) (pow k 3)) a) (- (/ 99.0 k) 10.0))
31.0ms	(* (/ (pow k m) (pow k 3)) a)
21.0ms	(* (/ a k) (/ (pow k m) k))
14.0ms	(/ (pow k m) (pow k 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

370 → 370

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5256	4786

prune419.0ms

Filtered

230 candidates to 370 candidates (-60.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	369	1	370
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	369	3	372

Merged error: 0b

Counts

372 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt k)
1.5b	(* (/ (pow k m) (pow k 3)) a)
2.1b	(* (/ a k) (/ (pow (* (cbrt k) (cbrt k)) m) (* (cbrt k) (cbrt k))))
8.2b	(/ (pow k m) (pow k 3))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
158×	`add-sqr-sqrt`
130×	`unpow-prod-down`
111×	`add-cube-cbrt` `*-un-lft-identity`
108×	`add-exp-log`
101×	`associate-l`
50×	`sqr-pow`
48×	`cube-prod`
43×	`div-exp`
40×	`prod-exp`
28×	`add-cbrt-cube`
21×	`unswap-sqr`
20×	`pow-exp`
16×	`pow-to-exp`
15×	`cube-mult` `unpow3`
12×	`associate-r` `associate-/r*`
10×	`cbrt-unprod`
9×	`cbrt-undiv`
8×	`pow1`
7×	`associate-/l*`
4×	`div-inv` `add-log-exp`
3×	`cbrt-prod`
2×	`pow-prod-down` `associate-l/` `-commutative`
1×	`frac-times` `frac-2neg` `pow1/3` `associate-*r/` `clear-num` `pow-div`

Counts

4 → 327

Calls

4 calls:

1.0ms	(cbrt k)
18.0ms	(* (/ (pow k m) (pow k 3)) a)
13.0ms	(* (/ a k) (/ (pow (* (cbrt k) (cbrt k)) m) (* (cbrt k) (cbrt k))))
7.0ms	(/ (pow k m) (pow k 3))

series134.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt k)
24.0ms	(* (/ (pow k m) (pow k 3)) a)
75.0ms	(* (/ a k) (/ (pow (* (cbrt k) (cbrt k)) m) (* (cbrt k) (cbrt k))))
13.0ms	(/ (pow k m) (pow k 3))

simplify80.0ms

Algorithm

egg-herbie

Counts

339 → 339

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5138	4440

prune404.0ms

Filtered

207 candidates to 339 candidates (-63.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	339	0	339
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	339	3	342

Merged error: 0b

Counts

342 → 3

regimes189.0ms

Accuracy

98.8% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.1b

bsearch27.0ms

Steps

Iters	Range		Point
9	4.9938261784162823e+151	9.004710570772937e+157	1.0690098631054175e+152

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	44
1	45	44

end0.0ms

sample1.2s

Algorithm

intervals

Results

520.0ms	8000×	body	80	valid
266.0ms	3200×	body	80	invalid
92.0ms	2087×	body	80	nan

Details

analyze1.0s

sample45.0ms

simplify80.0ms

prune10.0ms

localize10.0ms

rewrite12.0ms

series38.0ms

simplify48.0ms

prune53.0ms

localize15.0ms

rewrite80.0ms

series101.0ms

simplify55.0ms

prune419.0ms

localize25.0ms

rewrite57.0ms

series134.0ms

simplify80.0ms

prune404.0ms

regimes189.0ms

bsearch27.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling