Details

sample43.0ms

Algorithm

intervals

Results

18.0ms	380×	body	80	valid
4.0ms	133×	body	80	nan

simplify104.0ms

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
done	5001	5

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma k 10.0 1.0)
0.2b	(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
0.3b	(fma k k (fma k 10.0 1.0))
4.1b	(/ (fma k k (fma k 10.0 1.0)) a)

rewrite28.0ms

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 10.0 1.0)
13.0ms	(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
0.0ms	(fma k k (fma k 10.0 1.0))
5.0ms	(/ (fma k k (fma k 10.0 1.0)) a)

series227.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma k 10.0 1.0)
114.0ms	(/ (pow k m) (/ (fma k k (fma k 10.0 1.0)) a))
23.0ms	(fma k k (fma k 10.0 1.0))
52.0ms	(/ (fma k k (fma k 10.0 1.0)) a)

simplify82.0ms

Counts

193 → 193

Iterations

Useful iterations: 2 (64.0ms)

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

prune600.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma k 10.0 1.0)
0.3b	(fma k k (fma k 10.0 1.0))
0.3b	(/ (pow k m) (fma k k (fma k 10.0 1.0)))
1.6b	(* (/ (pow k m) (fma k k (fma k 10.0 1.0))) a)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt` `times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
25×	`associate-l`
22×	`unpow-prod-down`
19×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`sqr-pow`
7×	`associate-/l*`
6×	`pow1` `div-exp`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-r` `associate-/r*`
2×	`cbrt-undiv` `pow-to-exp` `pow-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

4 → 117

Calls

4 calls:

0.0ms	(fma k 10.0 1.0)
0.0ms	(fma k k (fma k 10.0 1.0))
8.0ms	(/ (pow k m) (fma k k (fma k 10.0 1.0)))
22.0ms	(* (/ (pow k m) (fma k k (fma k 10.0 1.0))) a)

series255.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(fma k 10.0 1.0)
23.0ms	(fma k k (fma k 10.0 1.0))
78.0ms	(/ (pow k m) (fma k k (fma k 10.0 1.0)))
116.0ms	(* (/ (pow k m) (fma k k (fma k 10.0 1.0))) a)

simplify52.0ms

Counts

129 → 129

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	488	962
1	1842	899
2	5001	887
done	5001	887

prune386.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow k m) a)
0.0b	(fma k 10.0 1.0)
0.3b	(fma k k (fma k 10.0 1.0))
1.9b	(/ (* (pow k m) a) (fma k k (fma k 10.0 1.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`prod-exp`
4×	`pow1` `expm1-log1p-u` `unpow-prod-down` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r` `associate-/r*` `unswap-sqr`
2×	`cbrt-undiv` `pow-to-exp` `pow-exp` `cbrt-unprod` `fma-udef` `sqr-pow`
1×	`frac-2neg` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 72

Calls

4 calls:

12.0ms	(* (pow k m) a)
0.0ms	(fma k 10.0 1.0)
0.0ms	(fma k k (fma k 10.0 1.0))
15.0ms	(/ (* (pow k m) a) (fma k k (fma k 10.0 1.0)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (pow k m) a)
38.0ms	(fma k 10.0 1.0)
23.0ms	(fma k k (fma k 10.0 1.0))
116.0ms	(/ (* (pow k m) a) (fma k k (fma k 10.0 1.0)))

simplify48.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	333	451
1	1388	397
2	5001	392
done	5001	392

prune228.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma k k (fma k 10.0 1.0))
0.3b	(fma k k (fma k 10.0 1.0))
15.2b	(sqrt (fma k k (fma k 10.0 1.0)))
15.2b	(sqrt (fma k k (fma k 10.0 1.0)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 50

Calls

4 calls:

0.0ms	(fma k k (fma k 10.0 1.0))
0.0ms	(fma k k (fma k 10.0 1.0))
2.0ms	(sqrt (fma k k (fma k 10.0 1.0)))
2.0ms	(sqrt (fma k k (fma k 10.0 1.0)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(fma k k (fma k 10.0 1.0))
31.0ms	(fma k k (fma k 10.0 1.0))
53.0ms	(sqrt (fma k k (fma k 10.0 1.0)))
58.0ms	(sqrt (fma k k (fma k 10.0 1.0)))

simplify37.0ms

Counts

62 → 62

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	109	266
1	309	244
2	1228	236
3	5001	232
done	5001	232

prune218.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

98.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.0b

bsearch47.0ms

Steps

Iters	Range		Point
7	7.409527905396223e+115	1.3794587700242614e+118	1.7015320770050427e+116

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	32
1	49	32
2	49	32
done	49	32

end0.0ms

sample1.1s

Algorithm

intervals

Results

478.0ms	11977×	body	80	valid
139.0ms	4186×	body	80	nan