Details

sample93.0ms

Algorithm

intervals

Results

40.0ms	83×	body	1280	valid
13.0ms	55×	body	640	valid
6.0ms	18×	body	2560	valid
6.0ms	34×	body	320	valid
4.0ms	59×	body	80	valid
1.0ms	7×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1409
5	341
4	191
3	90
2	43
1	18
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
11.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite88.0ms

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` `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:

12.0ms	(+ (* x y) z)
75.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* x y) z)
50.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.1s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
2	828
1	182
0	65

prune179.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 46.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) z)
11.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
11.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
11.1b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-log-exp`
19×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `sum-log`
9×	`diff-log`
6×	`distribute-lft-out--`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sub-neg` `flip3--` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 65

Calls

4 calls:

6.0ms	(+ (* x y) z)
66.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
79.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
60.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x y) z)
75.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
70.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))
43.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	828
1	182
0	65

prune566.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 46.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) z)
0.1b	(* (- (* x y) z) (+ (* x y) z))
11.5b	(- (fma x y z) (+ 1.0 (/ (* (- (* x y) z) (+ (* x y) z)) (- (* x y) z))))
29.4b	(/ (* (- (* x y) z) (+ (* x y) z)) (- (* x y) z))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

7.0ms	(- (* x y) z)
59.0ms	(* (- (* x y) z) (+ (* x y) z))
113.0ms	(- (fma x y z) (+ 1.0 (/ (* (- (* x y) z) (+ (* x y) z)) (- (* x y) z))))
46.0ms	(/ (* (- (* x y) z) (+ (* x y) z)) (- (* x y) z))

series221.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* x y) z)
102.0ms	(* (- (* x y) z) (+ (* x y) z))
50.0ms	(- (fma x y z) (+ 1.0 (/ (* (- (* x y) z) (+ (* x y) z)) (- (* x y) z))))
39.0ms	(/ (* (- (* x y) z) (+ (* x y) z)) (- (* x y) z))

simplify2.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	3799
1	473
0	147

prune692.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 46.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) z)
0.5b	(/ 1 (+ z (* x y)))
8.9b	(* (/ 1 (+ z (* x y))) (+ z (* x y)))
15.7b	(- (fma x y z) (+ 1.0 (* (* (/ 1 (+ z (* x y))) (+ z (* x y))) (+ (* x y) z))))

rewrite448.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
15×	`associate-l`
11×	`pow1` `add-cbrt-cube` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-/r` `associate-r` `pow-flip` `associate-/l` `inv-pow` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `sum-log` `pow-plus` `diff-log` `1-exp` `associate-*r/` `pow-prod-up` `cbrt-unprod` `div-inv`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `pow-prod-down` `associate-l/` `-commutative` `flip--` `associate--r+` `lft-mult-inverse` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

386.0ms	(+ (* x y) z)
8.0ms	(/ 1 (+ z (* x y)))
37.0ms	(* (/ 1 (+ z (* x y))) (+ z (* x y)))
13.0ms	(- (fma x y z) (+ 1.0 (* (* (/ 1 (+ z (* x y))) (+ z (* x y))) (+ (* x y) z))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* x y) z)
92.0ms	(/ 1 (+ z (* x y)))
5.0ms	(* (/ 1 (+ z (* x y))) (+ z (* x y)))
53.0ms	(- (fma x y z) (+ 1.0 (* (* (/ 1 (+ z (* x y))) (+ z (* x y))) (+ (* x y) z))))

simplify4.9s

Counts

120 → 120

Iterations

Iter	Nodes
done	5002
2	4640
1	546
0	165

prune738.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 46.1b

regimes814.0ms

Accuracy

0% (1.0b remaining)

Error of 45.1b against oracle of 44.1b and baseline of 45.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
2	21
1	20
0	14

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	2577×	body	1280	valid
358.0ms	1605×	body	640	valid
227.0ms	2110×	body	80	valid
214.0ms	579×	body	2560	valid
157.0ms	762×	body	320	valid
45.0ms	367×	body	160	valid