Details

sample151.0ms

Algorithm

intervals

Results

85.0ms

573×

body

valid

simplify2.3s

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: 3.8b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
5.4b	(* (* (* x 18.0) y) z)
7.2b	(* (* (* (* x 18.0) y) z) t)

rewrite334.0ms

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:

18.0ms	(* (* x 18.0) y)
26.0ms	(* (* j 27.0) k)
57.0ms	(* (* (* x 18.0) y) z)
230.0ms	(* (* (* (* x 18.0) y) z) t)

series181.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 18.0) y)
23.0ms	(* (* j 27.0) k)
52.0ms	(* (* (* x 18.0) y) z)
73.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3116
1	370
0	137

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* j k))
5.4b	(* (* (* x 18.0) y) z)
7.2b	(* (* (* (* x 18.0) y) z) t)

rewrite303.0ms

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:

13.0ms	(* (* x 18.0) y)
12.0ms	(* 27.0 (* j k))
75.0ms	(* (* (* x 18.0) y) z)
200.0ms	(* (* (* (* x 18.0) y) z) t)

series153.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
29.0ms	(* 27.0 (* j k))
34.0ms	(* (* (* x 18.0) y) z)
63.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2727
1	354
0	133

prune949.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize85.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* x y))
0.4b	(* (* j 27.0) k)
5.4b	(* (* 18.0 (* x y)) z)
7.2b	(* (* (* 18.0 (* x y)) z) t)

rewrite262.0ms

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:

21.0ms	(* 18.0 (* x y))
22.0ms	(* (* j 27.0) k)
59.0ms	(* (* 18.0 (* x y)) z)
156.0ms	(* (* (* 18.0 (* x y)) z) t)

series176.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* 18.0 (* x y))
24.0ms	(* (* j 27.0) k)
47.0ms	(* (* 18.0 (* x y)) z)
76.0ms	(* (* (* 18.0 (* x y)) z) t)

simplify2.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2613
1	358
0	133

prune862.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* z 18.0))
0.7b	(* j (* k 27.0))
3.6b	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
5.1b	(* y (* x (* z 18.0)))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-l`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

12.0ms	(* x (* z 18.0))
12.0ms	(* j (* k 27.0))
162.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
47.0ms	(* y (* x (* z 18.0)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* x (* z 18.0))
33.0ms	(* j (* k 27.0))
110.0ms	(* (- (* y (* x (* z 18.0))) (* a 4.0)) t)
32.0ms	(* y (* x (* z 18.0)))

simplify1.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1727
1	370
0	145

prune816.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

regimes2.8s

Accuracy

38.7% (3.1b remaining)

Error of 3.7b against oracle of 0.6b and baseline of 5.7b

bsearch383.0ms

Steps

Iters	Range		Point
8	1.1028992024718739e+38	1.246892911155619e+42	2.1398956214679056e+40
7	-3.093790826715309e-38	-1.1221159849618921e-39	-1.2052033195878546e-38

simplify15.0ms

Iterations

Iter	Nodes
done	70
1	70
0	46

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.9s

16446×

body

valid