Details

sample95.0ms

Algorithm

intervals

Results

57.0ms	108×	body	10240	exit
10.0ms	256×	body	80	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.7b	(/ (exp a) (+ (exp a) (exp b)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

29.0ms	(+ (exp a) (exp b))
44.0ms	(/ (exp a) (+ (exp a) (exp b)))

series175.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (exp a) (exp b))
133.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify5.0s

Counts

60 → 60

Iterations

Iter	Nodes
done	5013
4	3048
3	1195
2	500
1	186
0	84

prune728.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
0.7b	(/ (+ (exp a) (exp b)) (exp a))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
96×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
17×	`distribute-lft-out`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-def` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 145

Calls

3 calls:

30.0ms	(+ (exp a) (exp b))
49.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
50.0ms	(/ (+ (exp a) (exp b)) (exp a))

series238.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (exp a) (exp b))
106.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
97.0ms	(/ (+ (exp a) (exp b)) (exp a))

simplify7.0s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
3	4029
2	1234
1	467
0	186

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(/ 1 (posit16->real (real->posit16 (/ (+ (exp a) (exp b)) (exp a)))))
0.7b	(/ (+ (exp a) (exp b)) (exp a))
1.2b	(posit16->real (real->posit16 (/ (+ (exp a) (exp b)) (exp a))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
22×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`times-frac`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`associate-/l*`
6×	`associate-/r*` `add-log-exp`
5×	`pow1` `distribute-lft-out`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `div-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `remove-posit16` `pow-flip` `inv-pow`

Counts

4 → 99

Calls

4 calls:

26.0ms	(+ (exp a) (exp b))
13.0ms	(/ 1 (posit16->real (real->posit16 (/ (+ (exp a) (exp b)) (exp a)))))
41.0ms	(/ (+ (exp a) (exp b)) (exp a))
1.0ms	(posit16->real (real->posit16 (/ (+ (exp a) (exp b)) (exp a))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (exp a) (exp b))
122.0ms	(/ 1 (posit16->real (real->posit16 (/ (+ (exp a) (exp b)) (exp a)))))
94.0ms	(/ (+ (exp a) (exp b)) (exp a))
80.0ms	(posit16->real (real->posit16 (/ (+ (exp a) (exp b)) (exp a))))

simplify3.7s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
3	1627
2	636
1	271
0	138

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize25.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune2.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes463.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.8s	3508×	body	10240	exit
371.0ms	8000×	body	80	valid