Details

sample79.0ms

Algorithm

intervals

Results

43.0ms	95×	body	1280	valid
10.0ms	174×	body	80	valid
9.0ms	39×	body	640	valid
4.0ms	19×	body	320	valid
2.0ms	15×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2007
7	1575
6	382
5	135
4	56
3	29
2	19
1	14
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.0b	(- (exp (* a x)) 1)

rewrite36.0ms

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))
27.0ms	(- (exp (* a x)) 1)

series70.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(exp (* a x))
56.0ms	(- (exp (* a x)) 1)

simplify731.0ms

Counts

34 → 34

Iterations

Iter	Nodes
done	2003
3	1134
2	328
1	123
0	56

prune134.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (* a x) (* a x)) a)
4.2b	(* (* 1/6 x) (* (* (* a x) (* a x)) a))
4.4b	(+ (* 1/2 (* (* a x) (* a x))) (* a x))
12.8b	(+ (* (* 1/6 x) (* (* (* a x) (* a x)) a)) (+ (* 1/2 (* (* a x) (* a x))) (* a x)))

rewrite838.0ms

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:

89.0ms	(* (* (* a x) (* a x)) a)
258.0ms	(* (* 1/6 x) (* (* (* a x) (* a x)) a))
101.0ms	(+ (* 1/2 (* (* a x) (* a x))) (* a x))
389.0ms	(+ (* (* 1/6 x) (* (* (* a x) (* a x)) a)) (+ (* 1/2 (* (* a x) (* a x))) (* a x)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* (* a x) (* a x)) a)
68.0ms	(* (* 1/6 x) (* (* (* a x) (* a x)) a))
96.0ms	(+ (* 1/2 (* (* a x) (* a x))) (* a x))
168.0ms	(+ (* (* 1/6 x) (* (* (* a x) (* a x)) a)) (+ (* 1/2 (* (* a x) (* a x))) (* a x)))

simplify595.0ms

Counts

114 → 114

Iterations

Iter	Nodes
done	2001
1	515
0	155

prune313.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.2b	(* x (* 3 a))
3.8b	(+ -1 (exp (* x (* 3 a))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`insert-posit16`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 54

Calls

4 calls:

7.0ms	(exp (* a x))
4.0ms	(exp (* a x))
13.0ms	(* x (* 3 a))
8.0ms	(+ -1 (exp (* x (* 3 a))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(exp (* a x))
15.0ms	(exp (* a x))
21.0ms	(* x (* 3 a))
58.0ms	(+ -1 (exp (* x (* 3 a))))

simplify496.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	2007
2	721
1	220
0	90

prune316.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* a x) 3)
0.3b	(* (* a x) 3)
0.3b	(* (* a x) 3)
3.8b	(+ (exp (* 3 (* (* a x) 3))) -1)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`insert-posit16`
3×	`associate-l` `*-commutative`
1×	`+-commutative` `difference-of-sqr--1` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 71

Calls

4 calls:

28.0ms	(* (* a x) 3)
33.0ms	(* (* a x) 3)
29.0ms	(* (* a x) 3)
15.0ms	(+ (exp (* 3 (* (* a x) 3))) -1)

series138.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* a x) 3)
21.0ms	(* (* a x) 3)
23.0ms	(* (* a x) 3)
61.0ms	(+ (exp (* 3 (* (* a x) 3))) -1)

simplify548.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	2001
2	677
1	224
0	85

prune506.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 20.6b

bsearch2.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	51
1	51
0	34

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	2732×	body	1280	valid
448.0ms	1329×	body	640	valid
325.0ms	5340×	body	80	valid
206.0ms	812×	body	320	valid
47.0ms	390×	body	160	valid