Details

sample91.0ms

Algorithm

intervals

Results

59.0ms

264×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
6	2001
5	1788
4	733
3	264
2	88
1	41
0	26

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
30.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 95

Calls

4 calls:

40.0ms	(* (+ (* x y) z) y)
58.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
43.0ms	(* (+ (* (+ y a) y) b) y)
169.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series676.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ (* x y) z) y)
81.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
64.0ms	(* (+ (* (+ y a) y) b) y)
489.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	2004
3	2004
2	1932
1	529
0	198

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 29.6b

localize110.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
3.0b	(+ (* x (* y y)) (* z y))
5.6b	(* x (* y y))
30.2b	(/ (+ (* (+ (* (+ (+ (* x (* y y)) (* z y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
9×	`times-frac`
6×	`associate-l` `add-log-exp`
4×	`flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `insert-posit16`
3×	`associate-/r` `associate-/l`
2×	`associate-l/` `associate-/r/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 85

Calls

4 calls:

31.0ms	(* (+ (* (+ y a) y) b) y)
20.0ms	(+ (* x (* y y)) (* z y))
25.0ms	(* x (* y y))
236.0ms	(/ (+ (* (+ (* (+ (+ (* x (* y y)) (* z y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series642.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (+ (* (+ y a) y) b) y)
63.0ms	(+ (* x (* y y)) (* z y))
46.0ms	(* x (* y y))
464.0ms	(/ (+ (* (+ (* (+ (+ (* x (* y y)) (* z y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	2002
3	2002
2	1835
1	508
0	181

prune933.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 29.6b

localize78.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.4b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.8b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`associate-r` `add-exp-log`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
6×	`flip3-+` `associate-*l/` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `-commutative` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `div-inv`
1×	`clear-num` `frac-2neg` `associate-*r/` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 119

Calls

4 calls:

58.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
48.0ms	(* (+ (* (+ y a) y) b) y)
56.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
288.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series648.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
52.0ms	(* (+ (* (+ y a) y) b) y)
62.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
456.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.2s

Counts

131 → 131

Iterations

Iter	Nodes
done	2005
2	2005
1	590
0	211

prune1.4s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 29.6b

localize133.0ms

Local error

Found 4 expressions with local error:

3.8b	(cbrt (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
30.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite456.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`cbrt-prod`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
7×	`flip3-+` `flip-+`
6×	`associate-/l/`
4×	`pow1` `insert-posit16` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`cbrt-div` `pow1/3`

Counts

4 → 121

Calls

4 calls:

45.0ms	(cbrt (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
133.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
135.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
141.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series2.1s

Counts

4 → 12

Calls

4 calls:

802.0ms	(cbrt (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
432.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
457.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
441.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.4s

Counts

133 → 133

Iterations

Iter	Nodes
done	2010
3	2010
2	845
1	300
0	142

prune1.6s

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 29.6b

regimes2.0s

Accuracy

0% (0.7b remaining)

Error of 28.3b against oracle of 27.6b and baseline of 28.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	42
1	42
0	27

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.2s

8219×

body

valid