Details

sample148.0ms

Algorithm

intervals

Results

104.0ms

528×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
4	2001
3	723
2	217
1	67
0	28

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.5b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
3.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite296.0ms

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×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

16.0ms	(* (* x 18.0) y)
20.0ms	(* (* j 27.0) k)
54.0ms	(* (* (* x 18.0) y) z)
205.0ms	(* (* (* (* x 18.0) y) z) t)

series174.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* x 18.0) y)
39.0ms	(* (* j 27.0) k)
40.0ms	(* (* (* x 18.0) y) z)
61.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	2005
3	2005
2	1438
1	380
0	149

prune892.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* 27.0 (* j k))
3.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite236.0ms

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×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

14.0ms	(* (* x 18.0) y)
15.0ms	(* 27.0 (* j k))
43.0ms	(* (* (* x 18.0) y) z)
162.0ms	(* (* (* (* x 18.0) y) z) t)

series125.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
21.0ms	(* 27.0 (* j k))
34.0ms	(* (* (* x 18.0) y) z)
48.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.4s

Counts

105 → 105

Iterations

Iter	Nodes
done	2012
3	2012
2	1403
1	364
0	145

prune802.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 27.0) (* j k))
0.2b	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
3.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1` `add-cbrt-cube` `add-exp-log`
25×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`associate-l`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 102

Calls

4 calls:

18.0ms	(* (sqrt 27.0) (* j k))
45.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
49.0ms	(* (* (* x 18.0) y) z)
166.0ms	(* (* (* (* x 18.0) y) z) t)

series282.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (sqrt 27.0) (* j k))
106.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
43.0ms	(* (* (* x 18.0) y) z)
70.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.1s

Counts

114 → 114

Iterations

Iter	Nodes
done	2005
3	2005
2	1724
1	411
0	159

prune958.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (+ (- (* (* (* y x) (* 18.0 z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* 27.0 (* j k)))
0.2b	(* 27.0 (* j k))
3.4b	(* (* y x) (* 18.0 z))
4.8b	(* (* (* y x) (* 18.0 z)) t)

rewrite12.5s

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`add-log-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`diff-log`
7×	`associate--l+`
6×	`prod-diff`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `*-commutative`
2×	`sum-log` `sub-neg`
1×	`associate--l-` `flip3--` `flip--`

Counts

4 → 107

Calls

4 calls:

12.3s	(- (- (+ (- (* (* (* y x) (* 18.0 z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* 27.0 (* j k)))
15.0ms	(* 27.0 (* j k))
23.0ms	(* (* y x) (* 18.0 z))
112.0ms	(* (* (* y x) (* 18.0 z)) t)

series3.9s

Counts

4 → 12

Calls

4 calls:

3.8s	(- (- (+ (- (* (* (* y x) (* 18.0 z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* 27.0 (* j k)))
34.0ms	(* 27.0 (* j k))
51.0ms	(* (* y x) (* 18.0 z))
96.0ms	(* (* (* y x) (* 18.0 z)) t)

simplify1.6s

Counts

119 → 119

Iterations

Iter	Nodes
done	2013
3	2013
2	1916
1	492
0	196

prune829.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

regimes1.8s

Accuracy

35.7% (3.0b remaining)

Error of 3.5b against oracle of 0.5b and baseline of 5.2b

bsearch284.0ms

Steps

Iters	Range		Point
7	3.8707375154721287e-20	3.1663862662825695e-18	1.4118953814768603e-19
5	-1.9072804584190305e+54	-5.100687969561016e+53	-1.5865933573833304e+54

simplify14.0ms

Iterations

Iter	Nodes
done	76
1	76
0	52

end0.0ms

sample4.6s

Algorithm

intervals

Results

3.7s

16191×

body

valid