Details

sample72.0ms

Algorithm

intervals

Results

30.0ms	89×	body	1280	valid
8.0ms	36×	body	640	valid
8.0ms	167×	body	80	valid
4.0ms	26×	body	320	valid
1.0ms	6×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	11	6
2	18	6
3	26	6
4	49	6
5	111	6
6	273	6
7	810	6
8	2970	6
done	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
2.1b	(- (exp (* a x)) 1.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

4.0ms	(exp (* a x))
15.0ms	(- (exp (* a x)) 1.0)

series84.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(exp (* a x))
61.0ms	(- (exp (* a x)) 1.0)

simplify2.5s

Counts

30 → 30

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	53	263
1	116	248
2	282	232
3	751	228
4	2588	228
done	5000	224

prune116.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* a x) 1/6)
0.5b	(* x (+ a (* x (* (pow a 2) (+ (* (* a x) 1/6) 1/2)))))
0.9b	(* (pow a 2) (+ (* (* a x) 1/6) 1/2))
6.2b	(* x (* (pow a 2) (+ (* (* a x) 1/6) 1/2)))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
19×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
15×	`associate-l`
14×	`prod-exp`
13×	`pow1`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
8×	`associate-*r/` `cbrt-unprod`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`

Counts

4 → 96

Calls

4 calls:

17.0ms	(* (* a x) 1/6)
20.0ms	(* x (+ a (* x (* (pow a 2) (+ (* (* a x) 1/6) 1/2)))))
91.0ms	(* (pow a 2) (+ (* (* a x) 1/6) 1/2))
133.0ms	(* x (* (pow a 2) (+ (* (* a x) 1/6) 1/2)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* a x) 1/6)
145.0ms	(* x (+ a (* x (* (pow a 2) (+ (* (* a x) 1/6) 1/2)))))
86.0ms	(* (pow a 2) (+ (* (* a x) 1/6) 1/2))
131.0ms	(* x (* (pow a 2) (+ (* (* a x) 1/6) 1/2)))

simplify1.8s

Counts

108 → 108

Iterations

Useful iterations: 2 (720.0ms)

Iter	Nodes	Cost
0	174	1752
1	501	1640
2	2020	1427
done	5002	1427

prune311.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* x a) a) (+ (* (* a x) 1/6) 1/2))
0.1b	(* (* x a) a)
0.3b	(* (* a x) 1/6)
0.5b	(* x (+ a (* (* (* x a) a) (+ (* (* a x) 1/6) 1/2))))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`associate-r/` `-commutative` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
1×	`unswap-sqr`

Counts

4 → 83

Calls

4 calls:

197.0ms	(* (* (* x a) a) (+ (* (* a x) 1/6) 1/2))
41.0ms	(* (* x a) a)
36.0ms	(* (* a x) 1/6)
23.0ms	(* x (+ a (* (* (* x a) a) (+ (* (* a x) 1/6) 1/2))))

series356.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (* (* x a) a) (+ (* (* a x) 1/6) 1/2))
32.0ms	(* (* x a) a)
39.0ms	(* (* a x) 1/6)
122.0ms	(* x (+ a (* (* (* x a) a) (+ (* (* a x) 1/6) 1/2))))

simplify2.0s

Counts

95 → 95

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	150	1407
1	450	1318
2	2115	1118
done	5000	1116

prune248.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* 2 (* a x)))
2.1b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`difference-of-squares`
14×	`*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod` `add-log-exp`
8×	`sqr-pow`
5×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 64

Calls

4 calls:

8.0ms	(exp (* a x))
9.0ms	(exp (* a x))
19.0ms	(exp (* 2 (* a x)))
44.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series151.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(exp (* a x))
16.0ms	(exp (* a x))
31.0ms	(exp (* 2 (* a x)))
85.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify2.1s

Counts

76 → 76

Iterations

Useful iterations: 3 (743.0ms)

Iter	Nodes	Cost
0	101	975
1	236	894
2	658	855
3	2455	843
done	5000	843

prune238.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

98.4% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.3b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	49
1	38	49
done	38	49

end0.0ms

sample1.9s

Algorithm

intervals

Results

770.0ms	2705×	body	1280	valid
290.0ms	1331×	body	640	valid
276.0ms	5432×	body	80	valid
84.0ms	787×	body	320	valid
65.0ms	372×	body	160	valid