Details

sample95.0ms

Algorithm

intervals

Results

76.0ms

579×

body

valid

simplify562.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2008
3	748
2	187
1	56
0	19

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`associate-r`
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-+` `unswap-sqr`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--` `distribute-lft-out` `unpow2` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

75.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
28.0ms	(* (* a a) (+ 1 a))
22.0ms	(* (* b b) (- 1 (* 3 a)))
14.0ms	(pow (+ (* a a) (* b b)) 2)

series350.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
79.0ms	(* (* a a) (+ 1 a))
65.0ms	(* (* b b) (- 1 (* 3 a)))
56.0ms	(pow (+ (* a a) (* b b)) 2)

simplify1.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	2002
2	1906
1	500
0	165

prune490.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) (+ 1 a))
0.1b	(* (* b b) (- 1 (* 3 a)))
0.2b	(* (* a a) (* a a))
0.7b	(* (* b b) (+ (* b b) (* 2 (* a a))))

rewrite166.0ms

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`
13×	`pow2`
11×	`associate-r`
10×	`add-sqr-sqrt`
9×	`*-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-+`
1×	`flip3--` `swap-sqr` `flip--` `distribute-lft-out`

Counts

4 → 139

Calls

4 calls:

41.0ms	(* (* a a) (+ 1 a))
26.0ms	(* (* b b) (- 1 (* 3 a)))
40.0ms	(* (* a a) (* a a))
55.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

series263.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* a a) (+ 1 a))
79.0ms	(* (* b b) (- 1 (* 3 a)))
40.0ms	(* (* a a) (* a a))
79.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

simplify628.0ms

Counts

151 → 151

Iterations

Iter	Nodes
done	2000
1	580
0	167

prune662.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (pow a 4)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
0.1b	(* (* a a) (+ 1 a))
0.1b	(* (* b b) (- 1 (* 3 a)))
0.7b	(* (* b b) (+ (* b b) (* 2 (* a a))))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
20×	`frac-add`
19×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`flip3-+` `flip-+`
10×	`add-sqr-sqrt` `associate-r`
9×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
7×	`add-cube-cbrt`
5×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `flip--`
4×	`insert-posit16`
3×	`sum-log` `associate-l` `*-commutative` `unswap-sqr`
2×	`associate-+r+` `sub-neg`
1×	`+-commutative` `associate-+l+` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

159.0ms	(+ (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (pow a 4)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
21.0ms	(* (* a a) (+ 1 a))
29.0ms	(* (* b b) (- 1 (* 3 a)))
40.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

series385.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (pow a 4)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
69.0ms	(* (* a a) (+ 1 a))
62.0ms	(* (* b b) (- 1 (* 3 a)))
91.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

simplify810.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	2002
1	1014
0	273

prune685.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`-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`
1×	`flip3--` `flip--` `distribute-lft-out`

Counts

4 → 99

Calls

4 calls:

21.0ms	(* (* a a) (+ 1 a))
23.0ms	(* (* b b) (- 1 (* 3 a)))
47.0ms	(* b (* b (+ (* b b) (* 2 (* a a)))))
31.0ms	(* b (+ (* b b) (* 2 (* a a))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (* a a) (+ 1 a))
63.0ms	(* (* b b) (- 1 (* 3 a)))
58.0ms	(* b (* b (+ (* b b) (* 2 (* a a)))))
72.0ms	(* b (+ (* b b) (* 2 (* a a))))

simplify529.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	2000
1	559
0	168

prune697.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes454.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	37
1	37
0	23

end0.0ms

sample4.6s

Algorithm

intervals

Results

4.2s

20362×

body

valid