Details

sample44.0ms

Algorithm

intervals

Results

18.0ms	88×	body	1280	valid
6.0ms	45×	body	640	valid
4.0ms	169×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	13×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	3255
6	440
5	113
4	49
3	26
2	18
1	11
0	6

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.1b	(- (exp (* a x)) 1.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

3.0ms	(exp (* a x))
9.0ms	(- (exp (* a x)) 1.0)

series69.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(exp (* a x))
41.0ms	(- (exp (* a x)) 1.0)

simplify1.3s

Counts

30 → 30

Iterations

Iter	Nodes
done	5000
3	2000
2	389
1	116
0	53

prune151.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 8.2b

localize42.0ms

Local error

Found 4 expressions with local error:

2.4b	(* x (+ (* (* a a) (* 1/2 x)) a))
7.0b	(* (* a a) (* 1/2 x))
10.1b	(+ (* (* 1/6 (pow a 3)) (pow x 3)) (* x (+ (* (* a a) (* 1/2 x)) a)))
18.2b	(* (* 1/6 (pow a 3)) (pow x 3))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
30×	`prod-exp`
23×	`add-cbrt-cube`
18×	`pow1`
16×	`associate-r`
12×	`cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
7×	`pow-to-exp` `pow-exp`
6×	`add-log-exp`
5×	`associate-l`
3×	`unpow-prod-down` `cube-prod` `*-commutative`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`cube-mult` `+-commutative` `sum-log` `unpow3` `unswap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

83.0ms	(* x (+ (* (* a a) (* 1/2 x)) a))
37.0ms	(* (* a a) (* 1/2 x))
26.0ms	(+ (* (* 1/6 (pow a 3)) (pow x 3)) (* x (+ (* (* a a) (* 1/2 x)) a)))
22.0ms	(* (* 1/6 (pow a 3)) (pow x 3))

series383.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* x (+ (* (* a a) (* 1/2 x)) a))
45.0ms	(* (* a a) (* 1/2 x))
155.0ms	(+ (* (* 1/6 (pow a 3)) (pow x 3)) (* x (+ (* (* a a) (* 1/2 x)) a)))
77.0ms	(* (* 1/6 (pow a 3)) (pow x 3))

simplify2.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	3555
1	536
0	163

prune526.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.7b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x x) 1/2)
4.0b	(+ (* (* a a) (* (* x x) 1/2)) (* x a))
16.5b	(* (* a a) (* (* x x) 1/2))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

22.0ms	(* (* x x) 1/2)
82.0ms	(+ (* (* a a) (* (* x x) 1/2)) (* x a))
64.0ms	(* (* a a) (* (* x x) 1/2))

series182.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* (* x x) 1/2)
78.0ms	(+ (* (* a a) (* (* x x) 1/2)) (* x a))
51.0ms	(* (* a a) (* (* x x) 1/2))

simplify1.8s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	2424
1	315
0	94

prune228.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune0.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes266.0ms

Accuracy

97.5% (0.5b remaining)

Error of 0.8b against oracle of 0.3b and baseline of 21.9b

bsearch1.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

898.0ms	2681×	body	1280	valid
681.0ms	5474×	body	80	valid
277.0ms	1318×	body	640	valid
85.0ms	731×	body	320	valid
31.0ms	385×	body	160	valid