Details

sample118.0ms

Algorithm

intervals

Results

41.0ms	83×	body	1280	valid
34.0ms	56×	body	640	valid
11.0ms	18×	body	2560	valid
8.0ms	29×	body	320	valid
6.0ms	63×	body	80	valid
1.0ms	7×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2009
9	2009
8	1937
7	1049
6	533
5	291
4	170
3	78
2	44
1	20
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
8.1b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sum-log`
3×	`diff-log`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

13.0ms	(+ (* x y) z)
64.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (* x y) z)
64.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify1.4s

Counts

37 → 37

Iterations

Iter	Nodes
done	2033
3	2033
2	690
1	185
0	67

prune213.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 30.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (- (- (- (fma x y z) z) 1) (* x y))))
0.1b	(exp (- (- (- (fma x y z) z) 1) (* x y)))
2.4b	(- (fma x y z) z)
8.0b	(- (- (- (fma x y z) z) 1) (* x y))

rewrite747.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-log-exp`
18×	`associate--l+`
13×	`diff-log`
12×	`exp-sum`
10×	`sub-neg`
9×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`exp-prod`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `rem-exp-log`
2×	`flip3--` `exp-diff` `flip--`
1×	`associate--l-` `log-div` `rem-log-exp` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 80

Calls

4 calls:

333.0ms	(log (exp (- (- (- (fma x y z) z) 1) (* x y))))
263.0ms	(exp (- (- (- (fma x y z) z) 1) (* x y)))
7.0ms	(- (fma x y z) z)
143.0ms	(- (- (- (fma x y z) z) 1) (* x y))

series183.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(log (exp (- (- (- (fma x y z) z) 1) (* x y))))
39.0ms	(exp (- (- (- (fma x y z) z) 1) (* x y)))
33.0ms	(- (fma x y z) z)
46.0ms	(- (- (- (fma x y z) z) 1) (* x y))

simplify915.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	2008
3	2008
2	671
1	261
0	113

prune412.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 29.6b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y x) 1)
2.4b	(- (fma x y z) z)
8.0b	(- (- (fma x y z) z) (+ (* y x) 1))
8.4b	(posit16->real (real->posit16 (- (- (fma x y z) z) (+ (* y x) 1))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
11×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`diff-log`
4×	`pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `frac-sub` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--`
3×	`sum-log` `sub-neg` `flip3-+` `flip-+`
2×	`associate--l+` `difference-of-squares`
1×	`associate--l-` `+-commutative` `remove-posit16` `associate--r+`

Counts

4 → 63

Calls

4 calls:

7.0ms	(+ (* y x) 1)
4.0ms	(- (fma x y z) z)
37.0ms	(- (- (fma x y z) z) (+ (* y x) 1))
0.0ms	(posit16->real (real->posit16 (- (- (fma x y z) z) (+ (* y x) 1))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* y x) 1)
29.0ms	(- (fma x y z) z)
42.0ms	(- (- (fma x y z) z) (+ (* y x) 1))
41.0ms	(posit16->real (real->posit16 (- (- (fma x y z) z) (+ (* y x) 1))))

simplify1.2s

Counts

75 → 75

Iterations

Iter	Nodes
done	2000
3	2000
2	1229
1	313
0	112

prune600.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.1b

localize76.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
6.2b	(- (fma x y z) (+ (* x y) z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `sum-log` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

7.0ms	(+ (* x y) z)
18.0ms	(- (fma x y z) (+ (* x y) z))

series81.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* x y) z)
57.0ms	(- (fma x y z) (+ (* x y) z))

simplify1.2s

Counts

35 → 35

Iterations

Iter	Nodes
done	2003
4	2003
3	1212
2	427
1	151
0	56

prune302.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 6.1b

regimes165.0ms

Accuracy

0% (0.1b remaining)

Error of 7.7b against oracle of 7.6b and baseline of 7.7b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.7s	2622×	body	1280	valid
735.0ms	1691×	body	640	valid
325.0ms	594×	body	2560	valid
306.0ms	2081×	body	80	valid
195.0ms	695×	body	320	valid
51.0ms	317×	body	160	valid