Details

sample156.0ms

Algorithm

intervals

Results

88.0ms

505×

body

valid

simplify13.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	580	29
4	1150	29
5	1744	29
6	2360	29
7	3087	29
8	3421	29
done	3421	29

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.7b	(* (* j 27.0) k)
4.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite365.0ms

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:

22.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
88.0ms	(* (* (* x 18.0) y) z)
234.0ms	(* (* (* (* x 18.0) y) z) t)

series172.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* x 18.0) y)
34.0ms	(* (* j 27.0) k)
44.0ms	(* (* (* x 18.0) y) z)
53.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.9s

Counts

93 → 93

Iterations

Useful iterations: 2 (431.0ms)

Iter	Nodes	Cost
0	137	914
1	350	884
2	1719	678
done	5001	678

prune433.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
4.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite339.0ms

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:

21.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
77.0ms	(* (* (* x 18.0) y) z)
221.0ms	(* (* (* (* x 18.0) y) z) t)

series142.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 18.0) y)
27.0ms	(* j (* 27.0 k))
40.0ms	(* (* (* x 18.0) y) z)
51.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: 2 (332.0ms)

Iter	Nodes	Cost
0	135	911
1	342	883
2	1655	677
done	5000	677

prune537.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* k j))
4.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite430.0ms

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:

18.0ms	(* (* x 18.0) y)
30.0ms	(* 27.0 (* k j))
85.0ms	(* (* (* x 18.0) y) z)
294.0ms	(* (* (* (* x 18.0) y) z) t)

series181.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x 18.0) y)
33.0ms	(* 27.0 (* k j))
33.0ms	(* (* (* x 18.0) y) z)
77.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: 2 (349.0ms)

Iter	Nodes	Cost
0	133	911
1	338	883
2	1652	677
done	5000	677

prune610.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
0.3b	(* (sqrt 27.0) (* k j))
4.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite467.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1` `add-exp-log` `add-cbrt-cube`
25×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`associate-l`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`sqrt-prod`
4×	`*-commutative` `add-log-exp`

Counts

4 → 90

Calls

4 calls:

81.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
32.0ms	(* (sqrt 27.0) (* k j))
93.0ms	(* (* (* x 18.0) y) z)
256.0ms	(* (* (* (* x 18.0) y) z) t)

series266.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
55.0ms	(* (sqrt 27.0) (* k j))
30.0ms	(* (* (* x 18.0) y) z)
79.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.7s

Counts

102 → 102

Iterations

Useful iterations: 2 (417.0ms)

Iter	Nodes	Cost
0	146	1138
1	382	988
2	1778	766
done	5001	766

prune519.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes2.0s

Accuracy

41.8% (2.9b remaining)

Error of 3.6b against oracle of 0.7b and baseline of 5.6b

bsearch546.0ms

Steps

Iters	Range		Point
9	6.629629183915417e+42	5.019074762167575e+49	1.0362792609368653e+45
9	-7.212420868133623e+59	-1.0869149642979674e+53	-7.467666342330363e+56

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	101
1	76	101
done	76	101

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.9s

16240×

body

valid