Details

sample92.0ms

Algorithm

intervals

Results

45.0ms	90×	body	1280	valid
14.0ms	186×	body	80	valid
12.0ms	37×	body	640	valid
4.0ms	19×	body	320	valid
2.0ms	16×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2061
8	2061
7	1575
6	382
5	135
4	56
3	29
2	19
1	14
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.3b	(- (exp (* a x)) 1)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-log-exp`
5×	`*-un-lft-identity`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `difference-of-squares`
1×	`exp-prod` `sub-neg` `flip3--` `exp-to-pow` `diff-log` `difference-of-sqr-1` `flip--` `distribute-lft-out--` `rem-exp-log`

Counts

2 → 28

Calls

2 calls:

8.0ms	(exp (* a x))
22.0ms	(- (exp (* a x)) 1)

series83.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(exp (* a x))
61.0ms	(- (exp (* a x)) 1)

simplify1.1s

Counts

34 → 34

Iterations

Iter	Nodes
done	2009
4	2009
3	1134
2	328
1	123
0	56

prune139.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (* (* a x) (* a x)) a)
2.9b	(* (* 1/6 x) (* (* (* a x) (* a x)) a))
4.0b	(+ (* 1/2 (* (* a x) (* a x))) (* a x))
14.3b	(+ (* (* 1/6 x) (* (* (* a x) (* a x)) a)) (+ (* 1/2 (* (* a x) (* a x))) (* a x)))

rewrite825.0ms

Algorithm

rewrite-expression-head

Rules

78×	`pow1` `add-cbrt-cube` `add-exp-log`
57×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`sum-log` `associate-r` `insert-posit16`
2×	`+-commutative` `flip3-+` `associate-l` `*-commutative` `flip-+`
1×	`associate-+r+` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

105.0ms	(* (* (* a x) (* a x)) a)
254.0ms	(* (* 1/6 x) (* (* (* a x) (* a x)) a))
51.0ms	(+ (* 1/2 (* (* a x) (* a x))) (* a x))
411.0ms	(+ (* (* 1/6 x) (* (* (* a x) (* a x)) a)) (+ (* 1/2 (* (* a x) (* a x))) (* a x)))

series427.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* (* a x) (* a x)) a)
106.0ms	(* (* 1/6 x) (* (* (* a x) (* a x)) a))
85.0ms	(+ (* 1/2 (* (* a x) (* a x))) (* a x))
169.0ms	(+ (* (* 1/6 x) (* (* (* a x) (* a x)) a)) (+ (* 1/2 (* (* a x) (* a x))) (* a x)))

simplify1.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	2005
2	2005
1	515
0	155

prune235.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a x) (* a x))
0.2b	(* (* a x) (* a x))
0.3b	(* (* a x) 1/6)
14.3b	(+ (* (* (* a x) (* a x)) (* (* a x) 1/6)) (* 1/2 (* (* a x) (* a x))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

87×	`pow1`
37×	`pow-prod-down`
33×	`add-cbrt-cube` `add-exp-log`
19×	`prod-exp` `cbrt-unprod`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`pow-plus` `insert-posit16`
3×	`associate-l` `*-commutative`
2×	`pow2` `swap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 101

Calls

4 calls:

21.0ms	(* (* a x) (* a x))
30.0ms	(* (* a x) (* a x))
30.0ms	(* (* a x) 1/6)
135.0ms	(+ (* (* (* a x) (* a x)) (* (* a x) 1/6)) (* 1/2 (* (* a x) (* a x))))

series274.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (* a x) (* a x))
34.0ms	(* (* a x) (* a x))
21.0ms	(* (* a x) 1/6)
163.0ms	(+ (* (* (* a x) (* a x)) (* (* a x) 1/6)) (* 1/2 (* (* a x) (* a x))))

simplify1.3s

Counts

113 → 113

Iterations

Iter	Nodes
done	2003
3	2003
2	1324
1	311
0	97

prune307.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp (* x (* 3 a))))
0.0b	(exp (* x (* 3 a)))
0.4b	(* x (* 3 a))
4.3b	(- (cbrt (exp (* x (* 3 a)))) 1)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
6×	`cbrt-prod` `add-cube-cbrt`
4×	`insert-posit16` `difference-of-squares`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`difference-of-sqr-1`
1×	`exp-prod` `sub-neg` `flip3--` `exp-to-pow` `pow1/3` `diff-log` `associate-r` `*-commutative` `flip--` `distribute-lft-out--` `rem-exp-log`

Counts

4 → 62

Calls

4 calls:

6.0ms	(cbrt (exp (* x (* 3 a))))
15.0ms	(exp (* x (* 3 a)))
13.0ms	(* x (* 3 a))
38.0ms	(- (cbrt (exp (* x (* 3 a)))) 1)

series281.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt (exp (* x (* 3 a))))
31.0ms	(exp (* x (* 3 a)))
33.0ms	(* x (* 3 a))
130.0ms	(- (cbrt (exp (* x (* 3 a)))) 1)

simplify1.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	2016
3	2016
2	811
1	248
0	110

prune289.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes166.0ms

Accuracy

97.7% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.1b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	32
1	32
0	22

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	2665×	body	1280	valid
809.0ms	5483×	body	80	valid
407.0ms	1372×	body	640	valid
206.0ms	757×	body	320	valid
51.0ms	418×	body	160	valid