Details

sample53.0ms

Algorithm

intervals

Results

30.0ms	361×	body	80	valid
7.0ms	116×	body	80	nan

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	7
1	53	5
2	106	5
3	269	5
4	904	5
5	3976	5
6	5001	5

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.8b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
16×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
7×	`associate-r`
6×	`fma-def` `prod-exp`
4×	`pow1` `expm1-log1p-u` `unpow-prod-down` `div-exp` `sum-log` `log1p-expm1-u`
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 → 88

Calls

4 calls:

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

series221.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 1.0 (* 10.0 k))
59.0ms	(* a (pow k m))
18.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
113.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	477	629
1	2275	544
2	5001	524

prune275.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma k k (fma k 10.0 1.0))
0.1b	(fma k 10.0 1.0)
0.2b	(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
5.7b	(/ (fma k k (fma k 10.0 1.0)) a)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

172×	`times-frac`
96×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
42×	`unpow-prod-down`
19×	`add-exp-log`
16×	`associate-/r*`
14×	`sqr-pow`
11×	`add-cbrt-cube`
10×	`div-exp` `div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `fma-udef`
1×	`associate-/r/`

Counts

4 → 181

Calls

4 calls:

0.0ms	(fma k k (fma k 10.0 1.0))
0.0ms	(fma k 10.0 1.0)
8.0ms	(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
2.0ms	(/ (fma k k (fma k 10.0 1.0)) a)

series208.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(fma k k (fma k 10.0 1.0))
31.0ms	(fma k 10.0 1.0)
104.0ms	(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
48.0ms	(/ (fma k k (fma k 10.0 1.0)) a)

simplify88.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	715	1922
1	3280	1854
2	5002	1852

prune546.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (pow k m) (+ (fma 1.0 (/ 1 a) (* 10.0 (/ k a))) (/ (pow k 2) a)))
0.2b	(* 10.0 (/ k a))
1.4b	(+ (fma 1.0 (/ 1 a) (* 10.0 (/ k a))) (/ (pow k 2) a))
8.7b	(/ (pow k 2) a)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
62×	`times-frac`
53×	`add-sqr-sqrt`
48×	`add-cube-cbrt`
27×	`unpow-prod-down`
19×	`add-exp-log`
15×	`associate-/l*`
13×	`associate-r` `add-cbrt-cube`
9×	`distribute-lft-out` `sqr-pow`
7×	`div-exp` `associate-/r*`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `unpow2`
3×	`cbrt-undiv` `fma-def` `associate-l` `div-inv`
2×	`pow-to-exp` `frac-2neg` `flip3-+` `pow-exp` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `fma-udef`

Counts

4 → 160

Calls

4 calls:

26.0ms	(/ (pow k m) (+ (fma 1.0 (/ 1 a) (* 10.0 (/ k a))) (/ (pow k 2) a)))
7.0ms	(* 10.0 (/ k a))
12.0ms	(+ (fma 1.0 (/ 1 a) (* 10.0 (/ k a))) (/ (pow k 2) a))
4.0ms	(/ (pow k 2) a)

series177.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (pow k m) (+ (fma 1.0 (/ 1 a) (* 10.0 (/ k a))) (/ (pow k 2) a)))
18.0ms	(* 10.0 (/ k a))
43.0ms	(+ (fma 1.0 (/ 1 a) (* 10.0 (/ k a))) (/ (pow k 2) a))
22.0ms	(/ (pow k 2) a)

simplify81.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	622	1499
1	2786	1405
2	5001	1395

prune490.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ k (/ a k))
0.2b	(/ (pow k m) (+ (fma 1.0 (/ 1 a) (* 10.0 (/ k a))) (/ k (/ a k))))
0.2b	(* 10.0 (/ k a))
1.4b	(+ (fma 1.0 (/ 1 a) (* 10.0 (/ k a))) (/ k (/ a k)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

113×	`times-frac`
91×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
19×	`add-exp-log`
17×	`associate-/r*`
16×	`add-cbrt-cube`
15×	`unpow-prod-down`
13×	`associate-r`
10×	`associate-/l*`
9×	`distribute-lft-out`
7×	`div-exp` `div-inv`
6×	`pow1` `add-log-exp`
5×	`cbrt-undiv` `sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-l` `associate-/r/`
2×	`frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `associate-r/` `pow-prod-down` `pow-exp` `sum-log` `-commutative` `fma-udef`

Counts

4 → 181

Calls

4 calls:

5.0ms	(/ k (/ a k))
38.0ms	(/ (pow k m) (+ (fma 1.0 (/ 1 a) (* 10.0 (/ k a))) (/ k (/ a k))))
7.0ms	(* 10.0 (/ k a))
17.0ms	(+ (fma 1.0 (/ 1 a) (* 10.0 (/ k a))) (/ k (/ a k)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ k (/ a k))
92.0ms	(/ (pow k m) (+ (fma 1.0 (/ 1 a) (* 10.0 (/ k a))) (/ k (/ a k))))
18.0ms	(* 10.0 (/ k a))
48.0ms	(+ (fma 1.0 (/ 1 a) (* 10.0 (/ k a))) (/ k (/ a k)))

simplify99.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	766	1710
1	3901	1590
2	5001	1581

prune533.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes106.0ms

Accuracy

89.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 2.1b

bsearch53.0ms

Steps

Iters	Range		Point
7	1.0908719127102908e+64	4.073964646582908e+65	3.1622362186607213e+65

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample1.5s

Algorithm

intervals

Results

919.0ms	11841×	body	80	valid
252.0ms	4270×	body	80	nan