Details

sample70.0ms

Algorithm

intervals

Results

35.0ms

484×

body

valid

simplify13.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	197	29
3	567	29
4	1192	29
5	1744	29
6	2398	29
7	3720	29
8	4884	29
done	4884	29

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
4.7b	(* (* (* x 18.0) y) z)
6.4b	(* (* (* (* x 18.0) y) z) t)

rewrite111.0ms

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×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
20.0ms	(* (* (* x 18.0) y) z)
76.0ms	(* (* (* (* x 18.0) y) z) t)

series107.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
26.0ms	(* (* (* x 18.0) y) z)
45.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	137	914
1	358	884
2	1777	678
done	5000	678

prune314.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
4.7b	(* (* (* x 18.0) y) z)
6.4b	(* (* (* (* x 18.0) y) z) t)

rewrite108.0ms

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×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
5.0ms	(* j (* 27.0 k))
20.0ms	(* (* (* x 18.0) y) z)
74.0ms	(* (* (* (* x 18.0) y) z) t)

series106.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
25.0ms	(* (* (* x 18.0) y) z)
44.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 2 (230.0ms)

Iter	Nodes	Cost
0	135	911
1	350	883
2	1740	677
done	5000	677

prune312.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.3b	(* j (* 27.0 k))
4.7b	(* (* x (* 18.0 y)) z)
6.4b	(* (* (* x (* 18.0 y)) z) t)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

5.0ms	(* x (* 18.0 y))
6.0ms	(* j (* 27.0 k))
17.0ms	(* (* x (* 18.0 y)) z)
61.0ms	(* (* (* x (* 18.0 y)) z) t)

series108.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (* 18.0 y))
17.0ms	(* j (* 27.0 k))
26.0ms	(* (* x (* 18.0 y)) z)
46.0ms	(* (* (* x (* 18.0 y)) z) t)

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: 2 (169.0ms)

Iter	Nodes	Cost
0	133	910
1	349	884
2	1579	678
done	5000	678

prune311.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* k j))
4.7b	(* (* (* x 18.0) y) z)
6.4b	(* (* (* (* x 18.0) y) z) t)

rewrite110.0ms

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×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
5.0ms	(* 27.0 (* k j))
20.0ms	(* (* (* x 18.0) y) z)
74.0ms	(* (* (* (* x 18.0) y) z) t)

series108.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
22.0ms	(* 27.0 (* k j))
25.0ms	(* (* (* x 18.0) y) z)
42.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 2 (232.0ms)

Iter	Nodes	Cost
0	133	911
1	346	883
2	1711	677
done	5000	677

prune260.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

regimes897.0ms

Accuracy

29% (3.5b remaining)

Error of 4.3b against oracle of 0.8b and baseline of 5.7b

bsearch278.0ms

Steps

Iters	Range		Point
9	4.8315969433294324e-86	4.3005030715443423e-79	3.869826479902939e-82
7	-4.687624143130689e+165	-9.631667933265735e+163	-1.202857629040676e+164

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	44	105
1	66	71
done	66	71

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16200×

body

valid