Details

sample188.0ms

Algorithm

intervals

Results

112.0ms

513×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2252
4	1115
3	544
2	196
1	66
0	28

prune57.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize84.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.2b	(* (* x 18.0) y)
4.5b	(* (* (* x 18.0) y) z)
6.4b	(* (* (* (* x 18.0) y) z) t)

rewrite593.0ms

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:

58.0ms	(* (* x 4.0) i)
34.0ms	(* (* x 18.0) y)
104.0ms	(* (* (* x 18.0) y) z)
383.0ms	(* (* (* (* x 18.0) y) z) t)

series252.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x 4.0) i)
29.0ms	(* (* x 18.0) y)
95.0ms	(* (* (* x 18.0) y) z)
92.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1432
1	362
0	133

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.8b

localize88.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 4.0) i)
4.5b	(* (* 18.0 (* x y)) z)
6.4b	(* (* (* 18.0 (* x y)) z) t)

rewrite606.0ms

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:

35.0ms	(* (* j 27.0) k)
36.0ms	(* (* x 4.0) i)
92.0ms	(* (* 18.0 (* x y)) z)
438.0ms	(* (* (* 18.0 (* x y)) z) t)

series214.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* j 27.0) k)
35.0ms	(* (* x 4.0) i)
52.0ms	(* (* 18.0 (* x y)) z)
88.0ms	(* (* (* 18.0 (* x y)) z) t)

simplify2.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5003
2	1729
1	436
0	159

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.8b

localize93.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.3b	(* 27.0 (* k j))
4.5b	(* (* 18.0 (* x y)) z)
6.4b	(* (* (* 18.0 (* x y)) z) t)

rewrite489.0ms

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:

33.0ms	(* (* x 4.0) i)
33.0ms	(* 27.0 (* k j))
95.0ms	(* (* 18.0 (* x y)) z)
323.0ms	(* (* (* 18.0 (* x y)) z) t)

series234.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* x 4.0) i)
41.0ms	(* 27.0 (* k j))
55.0ms	(* (* 18.0 (* x y)) z)
96.0ms	(* (* (* 18.0 (* x y)) z) t)

simplify2.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5010
2	1687
1	419
0	155

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.8b

localize105.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 4.0) i)
0.2b	(* (* x 18.0) y)
10.7b	(* (* (* x 18.0) y) (* z t))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 82

Calls

4 calls:

40.0ms	(* (* j 27.0) k)
38.0ms	(* (* x 4.0) i)
37.0ms	(* (* x 18.0) y)
133.0ms	(* (* (* x 18.0) y) (* z t))

series208.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* j 27.0) k)
46.0ms	(* (* x 4.0) i)
41.0ms	(* (* x 18.0) y)
89.0ms	(* (* (* x 18.0) y) (* z t))

simplify2.6s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1572
1	418
0	155

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes4.0s

Accuracy

66.3% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 5.4b

bsearch385.0ms

Steps

Iters	Range		Point
3	5.398302400719929e+28	6.749990188020054e+28	5.651743860838702e+28
8	-8.887026811072337e+26	-1.5133775762134652e+24	-6.877626944398137e+24

simplify20.0ms

Iterations

Iter	Nodes
done	66
1	66
0	44

end0.0ms

sample6.7s

Algorithm

intervals

Results

4.9s

16178×

body

valid