Details

analyze994.0ms

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

sample264.0ms

Algorithm

intervals

Results

228.0ms	127×	body	80	invalid
17.0ms	256×	body	80	valid
3.0ms	59×	body	80	nan

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5204	13

prune12.0ms

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: 1.7b

Counts

2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
1.7b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

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

series40.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify73.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4923	725
1	4923	725

prune87.0ms

Filtered

41 candidates to 58 candidates (-41.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	57	3	60

Merged error: 1.6b

Counts

60 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ k 10.0))
0.0b	(/ (pow k m) (+ 1.0 (* k (+ k 10.0))))
1.7b	(* a (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 120

Calls

3 calls:

6.0ms	(* k (+ k 10.0))
6.0ms	(/ (pow k m) (+ 1.0 (* k (+ k 10.0))))
11.0ms	(* a (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))))

series54.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* k (+ k 10.0))
15.0ms	(/ (pow k m) (+ 1.0 (* k (+ k 10.0))))
32.0ms	(* a (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4958	1972
1	4958	1972

prune168.0ms

Filtered

94 candidates to 129 candidates (-37.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	129	3	132

Merged error: 1.6b

Counts

132 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ k 10.0))
0.2b	(/ 1 (/ (+ 1.0 (* k (+ k 10.0))) (* a (pow k m))))
1.7b	(/ (+ 1.0 (* k (+ k 10.0))) (* a (pow k m)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
36×	`times-frac`
26×	`div-exp`
25×	`add-sqr-sqrt` `*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`add-cbrt-cube`
13×	`prod-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1` `div-inv` `associate-/l*`
5×	`rec-exp` `1-exp`
4×	`pow-to-exp` `associate-r` `pow-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `flip3-+` `associate-*r/` `clear-num` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `associate-/r/` `*-commutative` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

3 → 110

Calls

3 calls:

6.0ms	(* k (+ k 10.0))
8.0ms	(/ 1 (/ (+ 1.0 (* k (+ k 10.0))) (* a (pow k m))))
8.0ms	(/ (+ 1.0 (* k (+ k 10.0))) (* a (pow k m)))

series65.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* k (+ k 10.0))
29.0ms	(/ 1 (/ (+ 1.0 (* k (+ k 10.0))) (* a (pow k m))))
31.0ms	(/ (+ 1.0 (* k (+ k 10.0))) (* a (pow k m)))

simplify71.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4958	1826
1	4958	1826

prune129.0ms

Filtered

68 candidates to 119 candidates (-75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	119	3	122

Merged error: 0.0b

Counts

122 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (- (* 1.0 1.0) (* k (* k (* 10.0 10.0)))) (- 1.0 (* k 10.0))) (* k k))
0.2b	(* k (* k (* 10.0 10.0)))
1.7b	(/ (* a (pow k m)) (+ (/ (- (* 1.0 1.0) (* k (* k (* 10.0 10.0)))) (- 1.0 (* k 10.0))) (* k k)))
13.0b	(/ (- (* 1.0 1.0) (* k (* k (* 10.0 10.0)))) (- 1.0 (* k 10.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(+ (/ (- (* 1.0 1.0) (* k (* k (* 10.0 10.0)))) (- 1.0 (* k 10.0))) (* k k))
7.0ms	(* k (* k (* 10.0 10.0)))
14.0ms	(/ (* a (pow k m)) (+ (/ (- (* 1.0 1.0) (* k (* k (* 10.0 10.0)))) (- 1.0 (* k 10.0))) (* k k)))
7.0ms	(/ (- (* 1.0 1.0) (* k (* k (* 10.0 10.0)))) (- 1.0 (* k 10.0)))

series77.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (/ (- (* 1.0 1.0) (* k (* k (* 10.0 10.0)))) (- 1.0 (* k 10.0))) (* k k))
3.0ms	(* k (* k (* 10.0 10.0)))
60.0ms	(/ (* a (pow k m)) (+ (/ (- (* 1.0 1.0) (* k (* k (* 10.0 10.0)))) (- 1.0 (* k 10.0))) (* k k)))
9.0ms	(/ (- (* 1.0 1.0) (* k (* k (* 10.0 10.0)))) (- 1.0 (* k 10.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4977	1508
1	4977	1508

prune141.0ms

Filtered

73 candidates to 102 candidates (-39.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0.0b

Counts

105 → 3

regimes147.0ms

Accuracy

98.5% (0.0b remaining)

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

bsearch28.0ms

Steps

Iters	Range		Point
9	4.512689206025512e+144	6.512679386610274e+153	1.1892552418316243e+152

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	82	46
1	82	46

end0.0ms

sample1.3s

Algorithm

intervals

Results

542.0ms	8000×	body	80	valid
286.0ms	3363×	body	80	invalid
96.0ms	2041×	body	80	nan

Details

analyze994.0ms

sample264.0ms

simplify76.0ms

prune12.0ms

localize10.0ms

rewrite19.0ms

series40.0ms

simplify73.0ms

prune87.0ms

localize11.0ms

rewrite28.0ms

series54.0ms

simplify60.0ms

prune168.0ms

localize11.0ms

rewrite26.0ms

series65.0ms

simplify71.0ms

prune129.0ms

localize16.0ms

rewrite41.0ms

series77.0ms

simplify75.0ms

prune141.0ms

regimes147.0ms

bsearch28.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling