Details

sample39.0ms

Algorithm

intervals

Results

14.0ms	389×	body	80	valid
5.0ms	162×	body	80	nan

simplify107.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

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))
2.2b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite77.0ms

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:

6.0ms	(+ 1.0 (* 10.0 k))
12.0ms	(* a (pow k m))
26.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
32.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 1.0 (* 10.0 k))
66.0ms	(* a (pow k m))
19.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
124.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify59.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (52.0ms)

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

prune295.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* a (pow k m))
0.1b	(fma 10.0 k (* k k))
2.2b	(/ (* a (pow k m)) (+ 1.0 (fma 10.0 k (* k k))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`prod-exp`
4×	`unpow-prod-down` `times-frac` `div-exp` `associate-/r*`
3×	`pow1` `expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `pow-to-exp` `pow-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `sqr-pow`
1×	`frac-2neg` `flip3-+` `clear-num` `-commutative` `flip-+` `fma-udef` `div-inv` `associate-/l`

Counts

3 → 66

Calls

3 calls:

15.0ms	(* a (pow k m))
0.0ms	(fma 10.0 k (* k k))
17.0ms	(/ (* a (pow k m)) (+ 1.0 (fma 10.0 k (* k k))))

series242.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* a (pow k m))
52.0ms	(fma 10.0 k (* k k))
124.0ms	(/ (* a (pow k m)) (+ 1.0 (fma 10.0 k (* k k))))

simplify50.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	367	476
1	1737	427
2	5001	424
done	5001	424

prune202.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (fma k k (fma 10.0 k 1.0)) a) (pow k m))
0.0b	(fma 10.0 k 1.0)
0.3b	(/ 1 (/ (/ (fma k k (fma 10.0 k 1.0)) a) (pow k m)))
3.4b	(/ (fma k k (fma 10.0 k 1.0)) a)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

1073×	`times-frac`
496×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
198×	`unpow-prod-down`
105×	`associate-/r*`
68×	`add-exp-log`
66×	`sqr-pow`
51×	`div-exp`
43×	`div-inv`
20×	`add-cbrt-cube`
19×	`associate-/l*`
10×	`cbrt-undiv`
8×	`pow-to-exp` `pow-exp`
7×	`rec-exp` `1-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-/r/` `fma-udef` `associate-/l/` `inv-pow`

Counts

4 → 593

Calls

4 calls:

14.0ms	(/ (/ (fma k k (fma 10.0 k 1.0)) a) (pow k m))
0.0ms	(fma 10.0 k 1.0)
34.0ms	(/ 1 (/ (/ (fma k k (fma 10.0 k 1.0)) a) (pow k m)))
5.0ms	(/ (fma k k (fma 10.0 k 1.0)) a)

series319.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ (/ (fma k k (fma 10.0 k 1.0)) a) (pow k m))
37.0ms	(fma 10.0 k 1.0)
119.0ms	(/ 1 (/ (/ (fma k k (fma 10.0 k 1.0)) a) (pow k m)))
47.0ms	(/ (fma k k (fma 10.0 k 1.0)) a)

simplify117.0ms

Counts

605 → 605

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	2062	8184
1	5001	7772
done	5001	7772

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
1.1b	(/ (* (cbrt a) (cbrt a)) (/ (/ (fma k k (fma 10.0 k 1.0)) (cbrt a)) (pow k m)))
1.6b	(/ (fma k k (fma 10.0 k 1.0)) (cbrt a))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

736×	`times-frac`
293×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
164×	`associate-/r*`
144×	`cbrt-prod`
132×	`unpow-prod-down`
55×	`add-exp-log`
44×	`sqr-pow`
33×	`div-exp`
18×	`add-cbrt-cube` `div-inv`
13×	`cbrt-undiv`
7×	`prod-exp`
4×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`cbrt-unprod`
2×	`frac-2neg` `pow1/3` `clear-num`
1×	`associate-/r/`

Counts

4 → 417

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
41.0ms	(/ (* (cbrt a) (cbrt a)) (/ (/ (fma k k (fma 10.0 k 1.0)) (cbrt a)) (pow k m)))
10.0ms	(/ (fma k k (fma 10.0 k 1.0)) (cbrt a))

series608.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt a)
185.0ms	(cbrt a)
143.0ms	(/ (* (cbrt a) (cbrt a)) (/ (/ (fma k k (fma 10.0 k 1.0)) (cbrt a)) (pow k m)))
93.0ms	(/ (fma k k (fma 10.0 k 1.0)) (cbrt a))

simplify89.0ms

Counts

429 → 429

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	2210	6287
1	5001	6019
done	5001	6019

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

98% (0.0b remaining)

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

bsearch51.0ms

Steps

Iters	Range		Point
7	9.562253116892558e+51	2.264128048507957e+53	1.901191420895441e+53

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	33
1	51	33
2	51	33
done	51	33

end0.0ms

sample1.0s

Algorithm

intervals

Results

445.0ms	12032×	body	80	valid
136.0ms	4348×	body	80	nan