Details

sample118.0ms

Algorithm

intervals

Results

50.0ms	93×	body	1280	valid
16.0ms	25×	body	2560	valid
15.0ms	35×	body	640	valid
7.0ms	66×	body	80	valid
7.0ms	21×	body	320	valid
3.0ms	16×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
10	2096
9	1969
8	1359
7	703
6	446
5	291
4	169
3	76
2	42
1	18
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.9b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.3b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite67.0ms

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:

6.0ms	(+ (* x y) z)
60.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* x y) z)
51.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify791.0ms

Counts

37 → 37

Iterations

Iter	Nodes
3	2454
2	687
1	183
0	67

prune355.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 44.1b

localize40.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.3b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite65.0ms

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:

17.0ms	(+ (* x y) z)
48.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* x y) z)
49.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify975.0ms

Counts

37 → 37

Iterations

Iter	Nodes
3	2454
2	687
1	183
0	67

prune769.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 41.9b

localize60.0ms

Local error

Found 4 expressions with local error:

8.6b	(cbrt (+ (* x y) z))
8.6b	(cbrt (+ (* x y) z))
24.5b	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
32.8b	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `add-exp-log` `insert-posit16`
2×	`flip3-+` `pow1/3` `diff-log` `flip-+`
1×	`sum-log` `sub-neg` `flip3--` `remove-posit16` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 54

Calls

4 calls:

8.0ms	(cbrt (+ (* x y) z))
8.0ms	(cbrt (+ (* x y) z))
0.0ms	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
22.0ms	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series411.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (+ (* x y) z))
144.0ms	(cbrt (+ (* x y) z))
68.0ms	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
66.0ms	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify4.0s

Counts

66 → 66

Iterations

Iter	Nodes
4	7145
3	1924
2	672
1	254
0	105

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 32.0b

localize88.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (- (fma x y z) (* x y)) (+ 1 z))
7.8b	(posit16->real (real->posit16 (posit16->real (real->posit16 (- (- (fma x y z) (* x y)) (+ 1 z))))))
7.8b	(posit16->real (real->posit16 (- (- (fma x y z) (* x y)) (+ 1 z))))
11.1b	(- (fma x y z) (* x y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

57.0ms	(- (- (fma x y z) (* x y)) (+ 1 z))
0.0ms	(posit16->real (real->posit16 (posit16->real (real->posit16 (- (- (fma x y z) (* x y)) (+ 1 z))))))
0.0ms	(posit16->real (real->posit16 (- (- (fma x y z) (* x y)) (+ 1 z))))
9.0ms	(- (fma x y z) (* x y))

series168.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (- (fma x y z) (* x y)) (+ 1 z))
50.0ms	(posit16->real (real->posit16 (posit16->real (real->posit16 (- (- (fma x y z) (* x y)) (+ 1 z))))))
43.0ms	(posit16->real (real->posit16 (- (- (fma x y z) (* x y)) (+ 1 z))))
30.0ms	(- (fma x y z) (* x y))

simplify1.7s

Counts

70 → 70

Iterations

Iter	Nodes
3	5031
2	997
1	297
0	111

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 8.8b

regimes205.0ms

Accuracy

0% (0.1b remaining)

Error of 8.0b against oracle of 7.9b and baseline of 8.0b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	17
1	17
0	15

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.2s	2579×	body	1280	valid
555.0ms	1567×	body	640	valid
418.0ms	601×	body	2560	valid
318.0ms	707×	body	320	valid
225.0ms	2180×	body	80	valid
70.0ms	366×	body	160	valid