Details

sample104.0ms

Algorithm

intervals

Results

46.0ms	95×	body	1280	valid
19.0ms	49×	body	640	valid
8.0ms	14×	body	2560	valid
7.0ms	65×	body	80	valid
6.0ms	20×	body	320	valid
2.0ms	13×	body	160	valid

simplify2.3s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.1b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.3b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite99.0ms

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:

15.0ms	(+ (* x y) z)
84.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* x y) z)
59.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify1.2s

Counts

37 → 37

Iterations

Iter	Nodes
3	2454
2	687
1	183
0	67

prune406.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 44.1b

localize45.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.3b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite63.0ms

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:

14.0ms	(+ (* x y) z)
49.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x y) z)
64.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify901.0ms

Counts

37 → 37

Iterations

Iter	Nodes
3	2454
2	687
1	183
0	67

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 42.0b

localize54.0ms

Local error

Found 4 expressions with local error:

8.1b	(cbrt (+ (* x y) z))
8.1b	(cbrt (+ (* x y) z))
29.5b	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
35.2b	(- (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:

9.0ms	(cbrt (+ (* x y) z))
9.0ms	(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)))))))
20.0ms	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series396.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (+ (* x y) z))
133.0ms	(cbrt (+ (* x y) z))
53.0ms	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
65.0ms	(- (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

prune1.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 33.9b

localize74.0ms

Local error

Found 4 expressions with local error:

1.7b	(- (- (fma x y z) (* x y)) (+ 1 z))
8.7b	(posit16->real (real->posit16 (posit16->real (real->posit16 (- (- (fma x y z) (* x y)) (+ 1 z))))))
8.7b	(posit16->real (real->posit16 (- (- (fma x y z) (* x y)) (+ 1 z))))
9.6b	(- (fma x y z) (* x y))

rewrite59.0ms

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:

53.0ms	(- (- (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))))
5.0ms	(- (fma x y z) (* x y))

series183.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (- (fma x y z) (* x y)) (+ 1 z))
45.0ms	(posit16->real (real->posit16 (posit16->real (real->posit16 (- (- (fma x y z) (* x y)) (+ 1 z))))))
49.0ms	(posit16->real (real->posit16 (- (- (fma x y z) (* x y)) (+ 1 z))))
40.0ms	(- (fma x y z) (* x y))

simplify1.8s

Counts

70 → 70

Iterations

Iter	Nodes
3	5031
2	997
1	297
0	111

prune2.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 8.5b

regimes304.0ms

Accuracy

0% (0.1b remaining)

Error of 8.1b against oracle of 8.0b and baseline of 8.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	17
1	17
0	15

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	2616×	body	1280	valid
650.0ms	722×	body	320	valid
602.0ms	1590×	body	640	valid
468.0ms	588×	body	2560	valid
185.0ms	2144×	body	80	valid
55.0ms	340×	body	160	valid