Details

sample145.0ms

Algorithm

intervals

Results

66.0ms

510×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1710
3	614
2	201
1	66
0	28

prune50.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.1b

localize93.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
5.3b	(* (* (* (* x 18.0) y) z) t)
5.8b	(* (* (* x 18.0) y) z)

rewrite350.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
22.0ms	(* (* j 27.0) k)
227.0ms	(* (* (* (* x 18.0) y) z) t)
79.0ms	(* (* (* x 18.0) y) z)

series178.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 18.0) y)
28.0ms	(* (* j 27.0) k)
80.0ms	(* (* (* (* x 18.0) y) z) t)
37.0ms	(* (* (* x 18.0) y) z)

simplify2.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	3135
1	370
0	137

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* 27.0 (* j k))
5.3b	(* (* (* (* x 18.0) y) z) t)
5.8b	(* (* (* x 18.0) y) z)

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
19.0ms	(* 27.0 (* j k))
205.0ms	(* (* (* (* x 18.0) y) z) t)
68.0ms	(* (* (* x 18.0) y) z)

series173.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
36.0ms	(* 27.0 (* j k))
60.0ms	(* (* (* (* x 18.0) y) z) t)
50.0ms	(* (* (* x 18.0) y) z)

simplify2.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2686
1	354
0	133

prune883.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 27.0 (* j k))
0.3b	(* 18.0 (* x y))
5.3b	(* (* (* 18.0 (* x y)) z) t)
5.8b	(* (* 18.0 (* x y)) z)

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

13.0ms	(* 27.0 (* j k))
16.0ms	(* 18.0 (* x y))
157.0ms	(* (* (* 18.0 (* x y)) z) t)
51.0ms	(* (* 18.0 (* x y)) z)

series176.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 27.0 (* j k))
33.0ms	(* 18.0 (* x y))
75.0ms	(* (* (* 18.0 (* x y)) z) t)
36.0ms	(* (* 18.0 (* x y)) z)

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5003
2	2215
1	343
0	129

prune746.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 18.0 (* x y))
0.3b	(* (sqrt 27.0) (* j k))
5.3b	(* (* (* 18.0 (* x y)) z) t)
5.8b	(* (* 18.0 (* x y)) z)

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

18.0ms	(* 18.0 (* x y))
21.0ms	(* (sqrt 27.0) (* j k))
134.0ms	(* (* (* 18.0 (* x y)) z) t)
43.0ms	(* (* 18.0 (* x y)) z)

series185.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 18.0 (* x y))
57.0ms	(* (sqrt 27.0) (* j k))
53.0ms	(* (* (* 18.0 (* x y)) z) t)
43.0ms	(* (* 18.0 (* x y)) z)

simplify1.8s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	2263
1	354
0	135

prune755.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

regimes2.7s

Accuracy

36.6% (3.4b remaining)

Error of 3.9b against oracle of 0.5b and baseline of 5.9b

bsearch454.0ms

Steps

Iters	Range		Point
8	8.612952919032878e-113	3.3651963934930892e-108	1.1837945201048494e-108
9	-2.884593901536308e+87	-1.2938994184120783e+82	-1.5174540083608294e+82

simplify20.0ms

Iterations

Iter	Nodes
done	84
1	84
0	57

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.9s

16476×

body

valid