Details

sample33.0ms

Algorithm

intervals

Results

8.0ms	70×	body	1280	valid
5.0ms	46×	body	640	valid
4.0ms	20×	body	160	valid
3.0ms	20×	body	2560	valid
2.0ms	75×	body	80	valid
2.0ms	25×	body	320	valid

simplify770.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	42	12
3	83	12
4	169	12
5	294	12
6	529	12
7	760	12
8	803	12
done	803	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.3b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite28.0ms

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-exp-log` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ (* x y) z)
25.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series59.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* x y) z)
38.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify622.0ms

Counts

35 → 35

Iterations

Useful iterations: 3 (165.0ms)

Iter	Nodes	Cost
0	65	500
1	177	483
2	523	449
3	2011	447
done	5001	447

prune86.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 41.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
4.4b	(- (* (* x y) (* x y)) (* z z))
12.3b	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
29.5b	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
17×	`pow-prod-down`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
6×	`difference-of-squares`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`diff-log` `associate-/r*`
2×	`sub-neg` `pow-plus` `div-sub` `associate-/r/` `associate-/l/` `distribute-lft-out--`
1×	`cbrt-undiv` `pow2` `associate-+r-` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv` `distribute-lft-out` `associate--r+` `associate--r-`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (* x y) (* x y))
10.0ms	(- (* (* x y) (* x y)) (* z z))
108.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
31.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

series215.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x y) (* x y))
62.0ms	(- (* (* x y) (* x y)) (* z z))
71.0ms	(- (fma x y z) (+ 1.0 (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))))
51.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

simplify705.0ms

Counts

113 → 113

Iterations

Useful iterations: done (702.0ms)

Iter	Nodes	Cost
0	160	2219
1	420	2028
2	1871	1424
done	5001	1404

prune297.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 41.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ z (* x y))
0.2b	(/ 1 (+ z (* x y)))
0.2b	(/ 1 (/ 1 (+ z (* x y))))
16.8b	(- (fma x y z) (+ 1.0 (/ 1 (/ 1 (+ z (* x y))))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
63×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt`
27×	`add-exp-log`
18×	`associate-/r*`
16×	`div-exp`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`rec-exp` `1-exp`
7×	`pow1` `div-inv`
6×	`flip3-+` `flip-+` `associate-/l*`
5×	`pow-flip`
4×	`cbrt-undiv`
3×	`distribute-lft-out--` `inv-pow`
2×	`frac-2neg` `diff-log` `clear-num` `sum-log` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `flip3--` `flip--` `remove-double-div` `associate--r+` `difference-of-squares`

Counts

4 → 155

Calls

4 calls:

2.0ms	(+ z (* x y))
4.0ms	(/ 1 (+ z (* x y)))
8.0ms	(/ 1 (/ 1 (+ z (* x y))))
67.0ms	(- (fma x y z) (+ 1.0 (/ 1 (/ 1 (+ z (* x y))))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ z (* x y))
46.0ms	(/ 1 (+ z (* x y)))
30.0ms	(/ 1 (/ 1 (+ z (* x y))))
37.0ms	(- (fma x y z) (+ 1.0 (/ 1 (/ 1 (+ z (* x y))))))

simplify5.7s

Counts

167 → 167

Iterations

Useful iterations: 2 (202.0ms)

Iter	Nodes	Cost
0	204	2619
1	489	2071
2	1515	1709
3	4561	1709
done	5000	1709

prune265.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 41.5b

localize16.0ms

Local error

Found 4 expressions with local error:

3.3b	(+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z)))
9.6b	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
18.2b	(/ (* (* x y) (* x y)) (- (* x y) z))
21.2b	(/ (* z z) (- (* x y) z))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log` `add-cbrt-cube`
22×	`*-un-lft-identity`
18×	`add-log-exp`
10×	`add-sqr-sqrt`
9×	`prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
7×	`cbrt-undiv` `div-exp`
6×	`times-frac` `associate-/r*`
5×	`sum-log` `distribute-lft-out`
4×	`pow1` `flip3--` `diff-log` `associate-/r/` `flip--` `distribute-lft-out--`
2×	`sub-neg` `associate-+l+` `frac-2neg` `frac-add` `clear-num` `div-inv` `associate-/l*`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `associate--r+` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

228.0ms	(+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z)))
32.0ms	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
15.0ms	(/ (* (* x y) (* x y)) (- (* x y) z))
7.0ms	(/ (* z z) (- (* x y) z))

series215.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z)))) (/ (* z z) (- (* x y) z)))
54.0ms	(- (fma x y z) (+ 1.0 (/ (* (* x y) (* x y)) (- (* x y) z))))
37.0ms	(/ (* (* x y) (* x y)) (- (* x y) z))
55.0ms	(/ (* z z) (- (* x y) z))

simplify782.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	172	2583
1	522	2384
2	2496	2026
done	5000	2026

prune245.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 41.5b

regimes272.0ms

Accuracy

0% (1.0b remaining)

Error of 45.1b against oracle of 44.2b and baseline of 45.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	17	16
done	17	16

end0.0ms

sample868.0ms

Algorithm

intervals

Results

322.0ms	2579×	body	1280	valid
157.0ms	1621×	body	640	valid
85.0ms	596×	body	2560	valid
60.0ms	2103×	body	80	valid
55.0ms	731×	body	320	valid
18.0ms	370×	body	160	valid