Details

sample140.0ms

Algorithm

intervals

Results

115.0ms

667×

body

valid

simplify985.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2008
4	2008
3	672
2	166
1	54
0	18

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
0.1b	(* (* a a) (- 1 a))
0.3b	(* (* b b) (+ 3 a))
0.3b	(pow (+ (* a a) (* b b)) 2)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`associate-r`
8×	`add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `insert-posit16`
3×	`pow-unpow` `unpow-prod-down`
2×	`associate-+r+` `sub-neg` `flip3-+` `associate-l` `*-commutative` `flip-+` `difference-of-squares` `unswap-sqr`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--` `distribute-lft-out` `distribute-lft-out--` `unpow2` `sqr-pow`

Counts

4 → 87

Calls

4 calls:

48.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
27.0ms	(* (* a a) (- 1 a))
27.0ms	(* (* b b) (+ 3 a))
14.0ms	(pow (+ (* a a) (* b b)) 2)

series304.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
68.0ms	(* (* a a) (- 1 a))
53.0ms	(* (* b b) (+ 3 a))
44.0ms	(pow (+ (* a a) (* b b)) 2)

simplify941.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	2001
2	2001
1	542
0	173

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize86.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) (- 1 a))
0.2b	(* (* a a) (* a a))
0.3b	(* (* b b) (+ 3 a))
0.9b	(* (* b b) (+ (* b b) (* 2 (* a a))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

130×	`pow1`
36×	`pow-prod-up`
32×	`pow-prod-down`
31×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
17×	`prod-exp` `cbrt-unprod`
14×	`associate-r`
13×	`pow2` `add-sqr-sqrt`
12×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-*r/`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`sub-neg` `flip3-+` `flip-+` `difference-of-squares`
1×	`flip3--` `swap-sqr` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 142

Calls

4 calls:

33.0ms	(* (* a a) (- 1 a))
32.0ms	(* (* a a) (* a a))
38.0ms	(* (* b b) (+ 3 a))
28.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* a a) (- 1 a))
66.0ms	(* (* a a) (* a a))
40.0ms	(* (* b b) (+ 3 a))
74.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

simplify962.0ms

Counts

154 → 154

Iterations

Iter	Nodes
done	2004
2	2004
1	581
0	175

prune1.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2 (* a a))
0.1b	(* (* a a) (- 1 a))
0.3b	(* (* b b) (+ 3 a))
0.9b	(* (* b b) (+ (* b b) (* 2 (* a a))))

rewrite439.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
14×	`associate-r`
13×	`*-un-lft-identity`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
6×	`associate-l` `associate-*r/`
4×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`sub-neg` `flip3-+` `flip-+` `difference-of-squares`
1×	`flip3--` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 98

Calls

4 calls:

15.0ms	(* 2 (* a a))
324.0ms	(* (* a a) (- 1 a))
43.0ms	(* (* b b) (+ 3 a))
55.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

series252.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* 2 (* a a))
78.0ms	(* (* a a) (- 1 a))
44.0ms	(* (* b b) (+ 3 a))
80.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

simplify950.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	2004
2	2004
1	532
0	164

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) (- 1 a))
0.1b	(* b (* b (+ (* b b) (* 2 (* a a)))))
0.2b	(* b (+ (* b b) (* 2 (* a a))))
0.3b	(* (* b b) (+ 3 a))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

26.0ms	(* (* a a) (- 1 a))
56.0ms	(* b (* b (+ (* b b) (* 2 (* a a)))))
30.0ms	(* b (+ (* b b) (* 2 (* a a))))
22.0ms	(* (* b b) (+ 3 a))

series321.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (* a a) (- 1 a))
98.0ms	(* b (* b (+ (* b b) (* 2 (* a a)))))
79.0ms	(* b (+ (* b b) (* 2 (* a a))))
51.0ms	(* (* b b) (+ 3 a))

simplify1.0s

Counts

114 → 114

Iterations

Iter	Nodes
done	2004
2	2004
1	580
0	175

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes201.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	35
1	35
0	22

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.6s

20540×

body

valid