Details

sample65.0ms

Algorithm

intervals

Results

31.0ms

484×

body

valid

simplify7.2s

Counts

1 → 1

Iterations

Useful iterations: 5 (3.0s)

Iter	Nodes	Cost
0	28	31
1	67	29
2	218	27
3	722	27
4	1970	27
5	3162	26
6	4396	26
done	5000	26

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize22.0ms

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)

rewrite124.0ms

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:

7.0ms	(* (* x 18.0) y)
7.0ms	(* (* j 27.0) k)
22.0ms	(* (* (* x 18.0) y) z)
83.0ms	(* (* (* (* x 18.0) y) z) t)

series115.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
23.0ms	(* (* j 27.0) k)
27.0ms	(* (* (* x 18.0) y) z)
45.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: 2 (256.0ms)

Iter	Nodes	Cost
0	145	974
1	366	944
2	1826	738
done	5000	738

prune407.0ms

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)

rewrite120.0ms

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:

7.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
22.0ms	(* (* (* x 18.0) y) z)
82.0ms	(* (* (* (* x 18.0) y) z) t)

series114.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
28.0ms	(* (* (* x 18.0) y) z)
49.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: 2 (239.0ms)

Iter	Nodes	Cost
0	143	971
1	358	943
2	1742	737
done	5000	737

prune394.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

6.0ms	(* x (* y 18.0))
6.0ms	(* j (* 27.0 k))
18.0ms	(* (* x (* y 18.0)) z)
70.0ms	(* (* (* x (* y 18.0)) z) t)

series114.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* y 18.0))
17.0ms	(* j (* 27.0 k))
32.0ms	(* (* x (* y 18.0)) z)
45.0ms	(* (* (* x (* y 18.0)) z) t)

simplify1.2s

Counts

101 → 101

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	140	970
1	357	944
2	1584	738
done	5001	738

prune404.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize29.0ms

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)

rewrite119.0ms

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:

7.0ms	(* (* x 18.0) y)
6.0ms	(* 27.0 (* k j))
22.0ms	(* (* (* x 18.0) y) z)
81.0ms	(* (* (* (* x 18.0) y) z) t)

series117.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
20.0ms	(* 27.0 (* k j))
31.0ms	(* (* (* x 18.0) y) z)
45.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: 2 (241.0ms)

Iter	Nodes	Cost
0	141	971
1	354	943
2	1730	737
done	5000	737

prune364.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

regimes1.4s

Accuracy

29% (3.5b remaining)

Error of 4.3b against oracle of 0.7b and baseline of 5.7b

bsearch294.0ms

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