Details

sample60.0ms

Algorithm

intervals

Results

27.0ms	387×	body	80	valid
6.0ms	137×	body	80	nan

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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: 0.5b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* a (pow k m))
0.5b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

5.0ms	(* a (pow k m))
8.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify55.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	377	461
1	1918	407
2	5002	404

prune86.0ms

Filtered

56 candidates to 42 candidates (25.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Merged error: 0.5b

Counts

58 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
0.0b	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
14.6b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
14.6b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite60.0ms

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:

8.0ms	(/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
33.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 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)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
32.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
3.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
7.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify108.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	919	3710
1	4067	3468
2	5002	3363

prune410.0ms

Filtered

230 candidates to 146 candidates (36.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	230	5	235

Merged error: 0.5b

Counts

235 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* a (pow k m))
0.3b	(/ 1 (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m))))
0.5b	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-exp-log`
36×	`times-frac`
29×	`add-sqr-sqrt`
26×	`div-exp`
24×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-cbrt-cube`
15×	`prod-exp`
8×	`associate-/r*`
7×	`cbrt-undiv` `associate-r`
6×	`div-inv` `associate-/l*`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`pow1` `unpow-prod-down`
3×	`associate-l` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/l/` `sqr-pow`
1×	`pow-flip` `flip3-+` `associate-/r/` `*-commutative` `flip-+` `inv-pow`

Counts

3 → 112

Calls

3 calls:

5.0ms	(* a (pow k m))
9.0ms	(/ 1 (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m))))
9.0ms	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m)))

series75.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* a (pow k m))
29.0ms	(/ 1 (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m))))
29.0ms	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (* a (pow k m)))

simplify81.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	622	1288
1	3355	1143
2	5002	1103

prune115.0ms

Filtered

121 candidates to 67 candidates (44.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	121	5	126

Merged error: 0.5b

Counts

126 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(pow (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))) 3)
0.5b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.0b	(cbrt (pow (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
24×	`cbrt-prod` `add-sqr-sqrt`
22×	`unpow-prod-down`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cube-prod`
17×	`add-cbrt-cube`
15×	`times-frac`
10×	`associate-/r/`
9×	`prod-exp`
8×	`div-exp` `pow-exp`
7×	`associate-r`
5×	`pow1` `flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `pow-to-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `associate-l` `associate-/r*` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`
2×	`cube-div` `cube-mult` `unpow3`
1×	`cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `-commutative` `rem-cbrt-cube` `associate-/l`

Counts

4 → 126

Calls

4 calls:

5.0ms	(* a (pow k m))
9.0ms	(pow (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))) 3)
8.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
6.0ms	(cbrt (pow (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))) 3))

series130.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* a (pow k m))
46.0ms	(pow (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))) 3)
32.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))
38.0ms	(cbrt (pow (/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k))) 3))

simplify113.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	728	1529
1	4058	1465
2	5001	1459

prune171.0ms

Filtered

138 candidates to 84 candidates (39.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	138	5	143

Merged error: 0.5b

Counts

143 → 5

regimes211.0ms

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	16	7
1	16	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	11995×	body	80	valid
198.0ms	4443×	body	80	nan

Details

sample60.0ms

simplify109.0ms

prune10.0ms

localize10.0ms

rewrite14.0ms

series49.0ms

simplify55.0ms

prune86.0ms

localize15.0ms

rewrite60.0ms

series60.0ms

simplify108.0ms

prune410.0ms

localize14.0ms

rewrite26.0ms

series75.0ms

simplify81.0ms

prune115.0ms

localize13.0ms

rewrite32.0ms

series130.0ms

simplify113.0ms

prune171.0ms

regimes211.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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