Details

sample193.0ms

Algorithm

intervals

Results

159.0ms

688×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
5	4205
4	1518
3	553
2	164
1	52
0	18

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
0.0b	(* (* a a) (- 1 a))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.7b	(* (* b b) (+ 3 a))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

50.0ms	(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
48.0ms	(* (* a a) (- 1 a))
21.0ms	(pow (+ (* a a) (* b b)) 2)
41.0ms	(* (* b b) (+ 3 a))

series269.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
87.0ms	(* (* a a) (- 1 a))
52.0ms	(pow (+ (* a a) (* b b)) 2)
58.0ms	(* (* b b) (+ 3 a))

simplify1.1s

Counts

107 → 107

Iterations

Iter	Nodes
2	2287
1	587
0	190

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* a a) (- 1 a))
0.2b	(* (* a a) (* a a))
0.7b	(* (* b b) (+ 3 a))
1.4b	(* (* b b) (+ (* b b) (* (* a a) 2)))

rewrite554.0ms

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:

25.0ms	(* (* a a) (- 1 a))
444.0ms	(* (* a a) (* a a))
44.0ms	(* (* b b) (+ 3 a))
39.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* a a) (- 1 a))
56.0ms	(* (* a a) (* a a))
37.0ms	(* (* b b) (+ 3 a))
73.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))

simplify4.8s

Counts

154 → 154

Iterations

Iter	Nodes
3	8285
2	1929
1	541
0	175

prune2.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* a a) 2)
0.0b	(* (* a a) (- 1 a))
0.7b	(* (* b b) (+ 3 a))
1.4b	(* (* b b) (+ (* b b) (* (* a a) 2)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`associate-r`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`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--` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 98

Calls

4 calls:

29.0ms	(* (* a a) 2)
52.0ms	(* (* a a) (- 1 a))
44.0ms	(* (* b b) (+ 3 a))
67.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* a a) 2)
64.0ms	(* (* a a) (- 1 a))
67.0ms	(* (* b b) (+ 3 a))
100.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))

simplify842.0ms

Counts

110 → 110

Iterations

Iter	Nodes
2	2081
1	526
0	165

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* a a) (- 1 a))
0.1b	(* b (* b (+ (* b b) (* (* a a) 2))))
0.1b	(* b (+ (* b b) (* (* a a) 2)))
0.7b	(* (* b b) (+ 3 a))

rewrite130.0ms

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:

28.0ms	(* (* a a) (- 1 a))
37.0ms	(* b (* b (+ (* b b) (* (* a a) 2))))
27.0ms	(* b (+ (* b b) (* (* a a) 2)))
36.0ms	(* (* b b) (+ 3 a))

series281.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (* a a) (- 1 a))
76.0ms	(* b (* b (+ (* b b) (* (* a a) 2))))
72.0ms	(* b (+ (* b b) (* (* a a) 2)))
45.0ms	(* (* b b) (+ 3 a))

simplify822.0ms

Counts

114 → 114

Iterations

Iter	Nodes
2	2090
1	541
0	175

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes304.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
2	33
1	33
0	22

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.8s

20839×

body

valid