Details

sample117.0ms

Algorithm

intervals

Results

59.0ms

471×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	616	29
4	1722	29
done	5000	29

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* j 27.0) k)
0.5b	(* (* x 18.0) y)
4.8b	(* (* (* x 18.0) y) z)
6.5b	(* (* (* (* x 18.0) y) z) t)

rewrite424.0ms

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:

32.0ms	(* (* j 27.0) k)
29.0ms	(* (* x 18.0) y)
70.0ms	(* (* (* x 18.0) y) z)
288.0ms	(* (* (* (* x 18.0) y) z) t)

series189.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* j 27.0) k)
34.0ms	(* (* x 18.0) y)
44.0ms	(* (* (* x 18.0) y) z)
85.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.9s

Counts

93 → 93

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	137	914
1	371	884
2	3141	722
done	5000	718

prune744.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.9b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* t (* x (* z y))))
0.3b	(* (* j 27.0) k)
3.4b	(* x (* z y))
6.6b	(* t (* x (* z y)))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

168.0ms	(* 18.0 (* t (* x (* z y))))
32.0ms	(* (* j 27.0) k)
31.0ms	(* x (* z y))
83.0ms	(* t (* x (* z y)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* 18.0 (* t (* x (* z y))))
20.0ms	(* (* j 27.0) k)
28.0ms	(* x (* z y))
52.0ms	(* t (* x (* z y)))

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	124	901
1	321	877
2	1619	671
done	5001	671

prune646.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* t (* (* x z) y)))
0.3b	(* (* j 27.0) k)
4.6b	(* (* x z) y)
6.6b	(* t (* (* x z) y))

rewrite298.0ms

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×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

174.0ms	(* 18.0 (* t (* (* x z) y)))
20.0ms	(* (* j 27.0) k)
18.0ms	(* (* x z) y)
81.0ms	(* t (* (* x z) y))

series213.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* 18.0 (* t (* (* x z) y)))
30.0ms	(* (* j 27.0) k)
44.0ms	(* (* x z) y)
69.0ms	(* t (* (* x z) y))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 2 (289.0ms)

Iter	Nodes	Cost
0	129	906
1	350	880
2	2201	678
done	5001	678

prune491.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* (* t (* x z)) y))
0.3b	(* (* j 27.0) k)
3.7b	(* t (* x z))
4.6b	(* (* t (* x z)) y)

rewrite300.0ms

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×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

190.0ms	(* 18.0 (* (* t (* x z)) y))
26.0ms	(* (* j 27.0) k)
25.0ms	(* t (* x z))
54.0ms	(* (* t (* x z)) y)

series172.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 18.0 (* (* t (* x z)) y))
20.0ms	(* (* j 27.0) k)
39.0ms	(* t (* x z))
59.0ms	(* (* t (* x z)) y)

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	130	910
1	352	884
2	2118	714
done	5001	682

prune566.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

regimes2.7s

Accuracy

63.8% (1.7b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 4.9b

bsearch424.0ms

Steps

Iters	Range		Point
8	4.8230838098445775e-31	1.4579950480637531e-27	7.217438656986207e-28
7	-3.2322466266556095e+99	-4.801328087321658e+97	-4.882400481117239e+97

simplify10.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	44	101
1	66	71
done	66	71

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.1s

16136×

body

valid