Details

sample38.0ms

Algorithm

intervals

Results

18.0ms	372×	body	80	valid
4.0ms	103×	body	80	nan

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	24	7
1	48	7
2	96	6
3	256	6
4	891	6
5	3963	6
6	5002	6

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 3.8b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.2b	(* a (pow k m))
3.7b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite24.0ms

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

series234.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 1.0 (* 10.0 k))
18.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
62.0ms	(* a (pow k m))
117.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify60.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	457	599
1	2146	533
2	5001	526

prune185.0ms

Filtered

86 candidates to 63 candidates (73.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	85	3	88

Merged error: 3.7b

Counts

88 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.2b	(* a (pow k m))
3.7b	(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

rewrite20.0ms

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`
7×	`prod-exp`
6×	`associate-l`
5×	`pow1`
4×	`unpow-prod-down` `div-exp` `unswap-sqr`
3×	`times-frac` `associate-/r*` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `flip3-+` `associate-r/` `pow-exp` `associate-/r/` `-commutative` `flip-+` `sqr-pow`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

3 → 73

Calls

3 calls:

6.0ms	(* k (+ 10.0 k))
5.0ms	(* a (pow k m))
7.0ms	(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

series224.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* k (+ 10.0 k))
61.0ms	(* a (pow k m))
117.0ms	(/ (* a (pow k m)) (+ 1.0 (* k (+ 10.0 k))))

simplify61.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	446	493
1	2226	441
2	5001	440

prune154.0ms

Filtered

82 candidates to 58 candidates (70.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	82	3	85

Merged error: 3.7b

Counts

85 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

3.7b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
3.7b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.6b	(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
4.6b	(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
18×	`sqrt-prod`
14×	`add-sqr-sqrt` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
8×	`div-exp` `associate-/r/`
6×	`pow1` `prod-exp` `associate-/r*`
4×	`cbrt-undiv` `flip3-+` `flip-+` `div-inv` `add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `pow-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 90

Calls

4 calls:

9.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
12.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
7.0ms	(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
7.0ms	(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

series654.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
114.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
211.0ms	(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))
211.0ms	(sqrt (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))))

simplify55.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	444	1272
1	1960	1148
2	5001	1140

prune292.0ms

Filtered

102 candidates to 82 candidates (80.4%)

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: 3.7b

Counts

105 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt k) m)
0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
3.7b	(/ (* (* a (pow (sqrt k) m)) (pow (sqrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
21×	`prod-exp`
13×	`div-exp` `add-cbrt-cube`
11×	`add-log-exp`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow-to-exp` `pow-exp`
6×	`pow1` `unpow-prod-down`
4×	`sum-log`
3×	`cbrt-undiv` `pow-unpow` `pow-pow` `flip3-+` `times-frac` `associate-/r*` `sqrt-prod` `cbrt-unprod` `flip-+`
2×	`+-commutative` `associate-/r/`
1×	`associate-+l+` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `sqrt-pow2` `div-inv` `associate-/l*` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

3.0ms	(pow (sqrt k) m)
3.0ms	(+ 1.0 (* 10.0 k))
5.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
13.0ms	(/ (* (* a (pow (sqrt k) m)) (pow (sqrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(pow (sqrt k) m)
31.0ms	(+ 1.0 (* 10.0 k))
17.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
248.0ms	(/ (* (* a (pow (sqrt k) m)) (pow (sqrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify62.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	520	812
1	2336	693
2	5001	664

prune174.0ms

Filtered

94 candidates to 58 candidates (61.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	94	3	97

Merged error: 3.7b

Counts

97 → 3

regimes73.0ms

Accuracy

0% (0.0b remaining)

Error of 1.8b against oracle of 1.8b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

530.0ms	11987×	body	80	valid
159.0ms	4270×	body	80	nan