Details

sample211.0ms

Algorithm

intervals

Results

135.0ms

527×

body

valid

simplify7.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (6.3s)

Iter	Nodes	Cost
0	28	31
1	67	29
2	221	27
3	757	27
4	2623	27
5	4397	26
done	5000	26

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
4.9b	(* (* (* x 18.0) y) z)
5.9b	(* (* (* (* x 18.0) y) z) t)

rewrite468.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

35.0ms	(* (* j 27.0) k)
20.0ms	(* (* x 18.0) y)
101.0ms	(* (* (* x 18.0) y) z)
306.0ms	(* (* (* (* x 18.0) y) z) t)

series171.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* j 27.0) k)
40.0ms	(* (* x 18.0) y)
44.0ms	(* (* (* x 18.0) y) z)
58.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.9s

Counts

101 → 101

Iterations

Useful iterations: 2 (445.0ms)

Iter	Nodes	Cost
0	145	974
1	358	944
2	1696	738
done	5001	738

prune604.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t a (* x i))
0.1b	(fma (* (* t y) (* z x)) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
0.2b	(* (* j 27.0) k)
11.5b	(* (* t y) (* z x))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative` `fma-udef`

Counts

4 → 64

Calls

4 calls:

0.0ms	(fma t a (* x i))
0.0ms	(fma (* (* t y) (* z x)) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
32.0ms	(* (* j 27.0) k)
37.0ms	(* (* t y) (* z x))

series3.8s

Counts

4 → 12

Calls

4 calls:

121.0ms	(fma t a (* x i))
3.6s	(fma (* (* t y) (* z x)) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
21.0ms	(* (* j 27.0) k)
56.0ms	(* (* t y) (* z x))

simplify1.9s

Counts

76 → 76

Iterations

Useful iterations: 2 (297.0ms)

Iter	Nodes	Cost
0	130	904
1	285	889
2	1149	725
done	5000	725

prune565.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
4.9b	(* (* (* x 18.0) y) z)
5.9b	(* (* (* (* x 18.0) y) z) t)

rewrite435.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
33.0ms	(* j (* 27.0 k))
107.0ms	(* (* (* x 18.0) y) z)
270.0ms	(* (* (* (* x 18.0) y) z) t)

series238.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x 18.0) y)
26.0ms	(* j (* 27.0 k))
73.0ms	(* (* (* x 18.0) y) z)
104.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.3s

Counts

101 → 101

Iterations

Useful iterations: 2 (367.0ms)

Iter	Nodes	Cost
0	143	971
1	350	943
2	1659	737
done	5000	737

prune636.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* k j))
4.9b	(* (* (* x 18.0) y) z)
5.9b	(* (* (* (* x 18.0) y) z) t)

rewrite432.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

30.0ms	(* (* x 18.0) y)
24.0ms	(* 27.0 (* k j))
81.0ms	(* (* (* x 18.0) y) z)
291.0ms	(* (* (* (* x 18.0) y) z) t)

series177.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 18.0) y)
24.0ms	(* 27.0 (* k j))
50.0ms	(* (* (* x 18.0) y) z)
79.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.9s

Counts

101 → 101

Iterations

Useful iterations: 2 (477.0ms)

Iter	Nodes	Cost
0	141	971
1	346	943
2	1636	737
done	5000	737

prune596.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes912.0ms

Accuracy

78.2% (1.3b remaining)

Error of 1.5b against oracle of 0.2b and baseline of 6.1b

bsearch5.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	45	139
1	66	114
done	66	114

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.6s

16195×

body

valid