Details

sample59.0ms

Algorithm

intervals

Results

24.0ms	86×	body	1280	valid
12.0ms	64×	body	640	valid
7.0ms	170×	body	80	valid
3.0ms	23×	body	320	valid
0.0ms	5×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
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: 33.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
2.0b	(- (exp (* a x)) 1)

rewrite24.0ms

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

series70.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(exp (* a x))
42.0ms	(- (exp (* a x)) 1)

simplify2.7s

Counts

34 → 34

Iterations

Iter	Nodes
done	5002
4	3726
3	1134
2	328
1	123
0	56

prune172.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a x) (* a x))
0.2b	(* (* a x) (* a x))
3.4b	(+ (* 1/2 (* (* a x) (* a x))) (* a x))
10.1b	(+ (* (* (* (* a x) (* a x)) (* a x)) 1/6) (+ (* 1/2 (* (* a x) (* a x))) (* a x)))

rewrite865.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
28×	`add-cbrt-cube` `add-exp-log`
16×	`prod-exp` `cbrt-unprod`
11×	`add-log-exp`
8×	`pow-sqr` `pow-prod-up`
4×	`add-sqr-sqrt` `sum-log` `*-un-lft-identity` `pow-plus` `add-cube-cbrt` `insert-posit16`
2×	`pow2` `+-commutative` `flip3-+` `swap-sqr` `associate-r` `associate-l` `*-commutative` `flip-+`
1×	`associate-+r+`

Counts

4 → 96

Calls

4 calls:

54.0ms	(* (* a x) (* a x))
42.0ms	(* (* a x) (* a x))
85.0ms	(+ (* 1/2 (* (* a x) (* a x))) (* a x))
681.0ms	(+ (* (* (* (* a x) (* a x)) (* a x)) 1/6) (+ (* 1/2 (* (* a x) (* a x))) (* a x)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* a x) (* a x))
45.0ms	(* (* a x) (* a x))
85.0ms	(+ (* 1/2 (* (* a x) (* a x))) (* a x))
135.0ms	(+ (* (* (* (* a x) (* a x)) (* a x)) 1/6) (+ (* 1/2 (* (* a x) (* a x))) (* a x)))

simplify1.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5024
2	1414
1	297
0	95

prune305.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.2b	(* (* 3 a) x)
2.0b	(+ -1 (exp (* (* 3 a) x)))

rewrite70.0ms

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-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 54

Calls

4 calls:

9.0ms	(exp (* a x))
9.0ms	(exp (* a x))
38.0ms	(* (* 3 a) x)
13.0ms	(+ -1 (exp (* (* 3 a) x)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(exp (* a x))
20.0ms	(exp (* a x))
31.0ms	(* (* 3 a) x)
54.0ms	(+ -1 (exp (* (* 3 a) x)))

simplify2.5s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	3047
2	730
1	232
0	91

prune359.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.2b	(* (* 3 a) x)
2.0b	(+ -1 (exp (* (* 3 a) x)))

rewrite48.0ms

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-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 54

Calls

4 calls:

7.0ms	(exp (* a x))
7.0ms	(exp (* a x))
25.0ms	(* (* 3 a) x)
7.0ms	(+ -1 (exp (* (* 3 a) x)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(exp (* a x))
13.0ms	(exp (* a x))
21.0ms	(* (* 3 a) x)
476.0ms	(+ -1 (exp (* (* 3 a) x)))

simplify2.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	3047
2	730
1	232
0	91

prune325.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes257.0ms

Accuracy

98.4% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 20.9b

bsearch1.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	44
1	44
0	29

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	2692×	body	1280	valid
297.0ms	1363×	body	640	valid
259.0ms	5568×	body	80	valid
105.0ms	777×	body	320	valid
36.0ms	376×	body	160	valid