Details

sample102.0ms

Algorithm

intervals

Results

44.0ms	88×	body	1280	valid
17.0ms	44×	body	640	valid
9.0ms	17×	body	2560	valid
6.0ms	67×	body	80	valid
6.0ms	24×	body	320	valid
3.0ms	16×	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: 44.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

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)
73.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (* x y) z)
46.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify1.0s

Counts

37 → 37

Iterations

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

prune429.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 27.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- (- (- (fma x y z) z) 1) (* x y)))
1.8b	(- (fma x y z) z)
9.4b	(- (- (- (fma x y z) z) 1) (* x y))

rewrite569.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

383.0ms	(exp (- (- (- (fma x y z) z) 1) (* x y)))
9.0ms	(- (fma x y z) z)
176.0ms	(- (- (- (fma x y z) z) 1) (* x y))

series136.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(exp (- (- (- (fma x y z) z) 1) (* x y)))
31.0ms	(- (fma x y z) z)
55.0ms	(- (- (- (fma x y z) z) 1) (* x y))

simplify1.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	2006
3	2006
2	634
1	213
0	91

prune840.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 12.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (/ (exp (- (- (fma x y z) z) (* x y))) E)))
0.0b	(/ (exp (- (- (fma x y z) z) (* x y))) E)
1.8b	(- (fma x y z) z)
8.7b	(- (- (fma x y z) z) (* x y))

rewrite401.0ms

Algorithm

rewrite-expression-head

Rules

53×	`exp-sum`
42×	`times-frac`
30×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
25×	`log-prod`
17×	`sub-neg`
16×	`associate--l+`
11×	`add-log-exp`
7×	`associate-/l*`
6×	`add-cbrt-cube`
5×	`pow1` `add-exp-log`
4×	`exp-prod` `diff-log` `insert-posit16`
3×	`associate-/r*`
2×	`flip3--` `exp-diff` `div-exp` `div-inv` `flip--`
1×	`associate--l-` `cbrt-undiv` `log-div` `e-exp-1` `clear-num` `frac-2neg` `log-pow` `distribute-lft-out--` `difference-of-squares` `rem-exp-log` `associate-/l/`

Counts

4 → 117

Calls

4 calls:

223.0ms	(exp (log (/ (exp (- (- (fma x y z) z) (* x y))) E)))
104.0ms	(/ (exp (- (- (fma x y z) z) (* x y))) E)
17.0ms	(- (fma x y z) z)
54.0ms	(- (- (fma x y z) z) (* x y))

series196.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(exp (log (/ (exp (- (- (fma x y z) z) (* x y))) E)))
48.0ms	(/ (exp (- (- (fma x y z) z) (* x y))) E)
28.0ms	(- (fma x y z) z)
46.0ms	(- (- (fma x y z) z) (* x y))

simplify1.3s

Counts

129 → 129

Iterations

Iter	Nodes
done	2024
3	2024
2	1097
1	434
0	218

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.9b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ z (* x y))
7.7b	(- (fma x y z) (+ z (* x y)))

rewrite18.0ms

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	(+ z (* x y))
11.0ms	(- (fma x y z) (+ z (* x y)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ z (* x y))
63.0ms	(- (fma x y z) (+ z (* x y)))

simplify1.3s

Counts

35 → 35

Iterations

Iter	Nodes
done	2003
4	2003
3	1285
2	437
1	146
0	54

prune414.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.6b

regimes119.0ms

Accuracy

0% (0.2b remaining)

Error of 7.6b against oracle of 7.4b and baseline of 7.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
2	19
1	17
0	13

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.3s	2607×	body	1280	valid
1.1s	1601×	body	640	valid
329.0ms	556×	body	2560	valid
194.0ms	2123×	body	80	valid
183.0ms	775×	body	320	valid
96.0ms	338×	body	160	valid