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

sample63.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4961	13
1	4961	13

prune15.0ms

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: 2.8b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
2.8b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite25.0ms

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:

5.0ms	(* a (pow k m))
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)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* a (pow k m))
3.0ms	(+ 1.0 (* 10.0 k))
3.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
32.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify58.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4953	920
1	4953	920

prune113.0ms

Filtered

60 candidates to 86 candidates (-43.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	83	5	88

Merged error: 0.0b

Counts

88 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ k 10.0))
0.0b	(/ (+ 1.0 (* k (+ k 10.0))) (pow k m))
2.8b	(/ a (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
105×	`add-sqr-sqrt` `*-un-lft-identity`
103×	`add-cube-cbrt`
48×	`unpow-prod-down`
32×	`associate-/r*`
20×	`add-exp-log`
16×	`sqr-pow`
12×	`add-cbrt-cube`
10×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `associate-r`
3×	`associate-l` `add-log-exp`
2×	`pow-to-exp` `frac-2neg` `flip3-+` `associate-*r/` `pow-exp` `clear-num` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 190

Calls

3 calls:

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

series56.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* k (+ k 10.0))
16.0ms	(/ (+ 1.0 (* k (+ k 10.0))) (pow k m))
35.0ms	(/ a (/ (+ 1.0 (* k (+ k 10.0))) (pow k m)))

simplify77.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4957	4108
1	4957	4108

prune271.0ms

Filtered

152 candidates to 199 candidates (-30.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	198	1	199
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	200	4	204

Merged error: 0.0b

Counts

204 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ 1.0 (* k (+ k 10.0))) (pow k (neg m)))
0.0b	(* k (+ k 10.0))
2.8b	(/ a (* (+ 1.0 (* k (+ k 10.0))) (pow k (neg m))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
17×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cbrt-cube`
11×	`associate-r`
10×	`add-cube-cbrt`
9×	`associate-/r/`
8×	`frac-times` `pow-neg`
7×	`flip3-+` `prod-exp` `flip-+`
6×	`neg-sub0` `associate-r/` `associate-l*` `pow-sub`
5×	`pow1`
4×	`unpow-prod-down` `div-exp` `associate-*l/` `unswap-sqr`
3×	`times-frac` `cbrt-unprod` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `pow-exp` `un-div-inv` `*-commutative` `sqr-pow`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out`

Counts

3 → 89

Calls

3 calls:

7.0ms	(* (+ 1.0 (* k (+ k 10.0))) (pow k (neg m)))
6.0ms	(* k (+ k 10.0))
7.0ms	(/ a (* (+ 1.0 (* k (+ k 10.0))) (pow k (neg m))))

series66.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ 1.0 (* k (+ k 10.0))) (pow k (neg m)))
5.0ms	(* k (+ k 10.0))
47.0ms	(/ a (* (+ 1.0 (* k (+ k 10.0))) (pow k (neg m))))

simplify66.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4957	1295
1	4957	1295

prune105.0ms

Filtered

63 candidates to 98 candidates (-55.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0)))))
0.0b	(* (/ a (sqrt (+ 1.0 (* k (+ k 10.0))))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0))))))
15.8b	(sqrt (+ 1.0 (* k (+ k 10.0))))
15.8b	(sqrt (+ 1.0 (* k (+ k 10.0))))

rewrite58.0ms

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:

7.0ms	(/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0)))))
35.0ms	(* (/ a (sqrt (+ 1.0 (* k (+ k 10.0))))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0))))))
3.0ms	(sqrt (+ 1.0 (* k (+ k 10.0))))
3.0ms	(sqrt (+ 1.0 (* k (+ k 10.0))))

series61.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0)))))
36.0ms	(* (/ a (sqrt (+ 1.0 (* k (+ k 10.0))))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0))))))
3.0ms	(sqrt (+ 1.0 (* k (+ k 10.0))))
4.0ms	(sqrt (+ 1.0 (* k (+ k 10.0))))

simplify94.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4967	5224
1	4967	5224

prune381.0ms

Filtered

147 candidates to 230 candidates (-56.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	230	4	234

Merged error: 0.0b

Counts

234 → 4

regimes161.0ms

Accuracy

98.8% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.9b

bsearch23.0ms

Steps

Iters	Range		Point
6	7.627081561903862e+126	5.444340608315726e+127	3.3940743579651296e+127

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	43
1	51	43

end0.0ms

sample1.6s

Algorithm

intervals

Results

477.0ms

8000×

body

valid

Details

analyze1.0s

sample63.0ms

simplify90.0ms

prune15.0ms

localize12.0ms

rewrite25.0ms

series266.0ms

simplify58.0ms

prune113.0ms

localize10.0ms

rewrite30.0ms

series56.0ms

simplify77.0ms

prune271.0ms

localize12.0ms

rewrite23.0ms

series66.0ms

simplify66.0ms

prune105.0ms

localize14.0ms

rewrite58.0ms

series61.0ms

simplify94.0ms

prune381.0ms

regimes161.0ms

bsearch23.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling