Details

sample107.0ms

Algorithm

intervals

Results

40.0ms	78×	body	1280	valid
19.0ms	48×	body	640	valid
14.0ms	23×	body	2560	valid
7.0ms	24×	body	320	valid
7.0ms	69×	body	80	valid
3.0ms	14×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
9	2296
8	1644
7	743
6	439
5	291
4	170
3	78
2	44
1	20
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
12.8b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite58.0ms

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:

7.0ms	(+ (* x y) z)
51.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series76.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (* x y) z)
51.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify946.0ms

Counts

37 → 37

Iterations

Iter	Nodes
3	2517
2	690
1	185
0	67

prune480.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 43.9b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
12.8b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite45.0ms

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:

7.0ms	(+ (* x y) z)
38.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x y) z)
54.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify865.0ms

Counts

37 → 37

Iterations

Iter	Nodes
3	2517
2	690
1	185
0	67

prune933.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 42.0b

localize68.0ms

Local error

Found 4 expressions with local error:

10.1b	(cbrt (+ (* x y) z))
10.1b	(cbrt (+ (* x y) z))
25.2b	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
34.3b	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite27.0ms

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

series409.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (+ (* x y) z))
153.0ms	(cbrt (+ (* x y) z))
54.0ms	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
60.0ms	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify3.8s

Counts

66 → 66

Iterations

Iter	Nodes
4	7172
3	1914
2	675
1	255
0	105

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 16.1b

localize87.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (fma x y z) z)
6.5b	(posit16->real (real->posit16 (+ -1 (- (- (fma x y z) z) (* x y)))))
6.5b	(posit16->real (real->posit16 (posit16->real (real->posit16 (+ -1 (- (- (fma x y z) z) (* x y)))))))
10.6b	(- (- (fma x y z) z) (* x y))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

9.0ms	(- (fma x y z) z)
0.0ms	(posit16->real (real->posit16 (+ -1 (- (- (fma x y z) z) (* x y)))))
0.0ms	(posit16->real (real->posit16 (posit16->real (real->posit16 (+ -1 (- (- (fma x y z) z) (* x y)))))))
64.0ms	(- (- (fma x y z) z) (* x y))

series185.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (fma x y z) z)
58.0ms	(posit16->real (real->posit16 (+ -1 (- (- (fma x y z) z) (* x y)))))
52.0ms	(posit16->real (real->posit16 (posit16->real (real->posit16 (+ -1 (- (- (fma x y z) z) (* x y)))))))
48.0ms	(- (- (fma x y z) z) (* x y))

simplify2.8s

Counts

62 → 62

Iterations

Iter	Nodes
4	6759
3	1511
2	454
1	177
0	83

prune2.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.8b

regimes164.0ms

Accuracy

0% (0.1b remaining)

Error of 8.2b against oracle of 8.1b and baseline of 8.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	16
1	16
0	13

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.6s	2569×	body	1280	valid
631.0ms	1520×	body	640	valid
436.0ms	628×	body	2560	valid
235.0ms	771×	body	320	valid
215.0ms	2152×	body	80	valid
129.0ms	360×	body	160	valid