Details

sample115.0ms

Algorithm

intervals

Results

56.0ms	79×	body	1280	valid
18.0ms	48×	body	640	valid
9.0ms	17×	body	2560	valid
7.0ms	75×	body	80	valid
6.0ms	23×	body	320	valid
2.0ms	14×	body	160	valid

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
20	4822
19	4621
18	4420
17	4220
16	4001
15	3806
14	3601
13	3399
12	3187
11	2982
10	2768
9	2530
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: 42.9b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
8.9b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite62.0ms

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:

10.0ms	(+ (* x y) z)
52.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* x y) z)
53.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify2.2s

Counts

37 → 37

Iterations

Iter	Nodes
done	5002
3	3115
2	690
1	185
0	67

prune203.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 42.1b

localize60.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
8.9b	(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite90.0ms

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)
76.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x y) z)
65.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify2.1s

Counts

37 → 37

Iterations

Iter	Nodes
done	5002
3	3115
2	690
1	185
0	67

prune399.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 40.0b

localize77.0ms

Local error

Found 4 expressions with local error:

6.5b	(cbrt (+ (* x y) z))
6.5b	(cbrt (+ (* x y) z))
22.8b	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
30.1b	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite22.0ms

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:

4.0ms	(cbrt (+ (* x y) z))
4.0ms	(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)))))))
12.0ms	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (+ (* x y) z))
154.0ms	(cbrt (+ (* x y) z))
66.0ms	(posit16->real (real->posit16 (- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))))
58.0ms	(- (fma x y z) (+ 1 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify1.7s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	2169
2	701
1	255
0	105

prune620.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 6.4b

localize50.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

6.0ms	(+ (* x y) z)
16.0ms	(- (fma x y z) (+ (* x y) z))

series77.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* x y) z)
45.0ms	(- (fma x y z) (+ (* x y) z))

simplify2.6s

Counts

35 → 35

Iterations

Iter	Nodes
done	5004
4	4192
3	1212
2	427
1	151
0	56

prune295.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 6.2b

regimes172.0ms

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	19
2	19
1	17
0	13

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s	2621×	body	1280	valid
667.0ms	549×	body	2560	valid
525.0ms	1562×	body	640	valid
222.0ms	2194×	body	80	valid
169.0ms	740×	body	320	valid
105.0ms	334×	body	160	valid