Details

sample126.0ms

Algorithm

intervals

Results

82.0ms

664×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	3576
3	748
2	187
1	56
0	19

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

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))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.5b	(* (* b b) (- 1 (* 3 a)))

rewrite108.0ms

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:

47.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
22.0ms	(* (* a a) (+ 1 a))
8.0ms	(pow (+ (* a a) (* b b)) 2)
31.0ms	(* (* b b) (- 1 (* 3 a)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
77.0ms	(* (* a a) (+ 1 a))
41.0ms	(pow (+ (* a a) (* b b)) 2)
55.0ms	(* (* b b) (- 1 (* 3 a)))

simplify1.9s

Counts

96 → 96

Iterations

Iter	Nodes
done	5003
2	1877
1	501
0	165

prune501.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) (+ 1 a))
0.2b	(* (* a a) (* a a))
0.5b	(* (* b b) (- 1 (* 3 a)))
1.0b	(* (* b b) (+ (* b b) (* 2 (* a a))))

rewrite111.0ms

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:

26.0ms	(* (* a a) (+ 1 a))
26.0ms	(* (* a a) (* a a))
30.0ms	(* (* b b) (- 1 (* 3 a)))
27.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

series263.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (* a a) (+ 1 a))
39.0ms	(* (* a a) (* a a))
62.0ms	(* (* b b) (- 1 (* 3 a)))
80.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

simplify2.1s

Counts

151 → 151

Iterations

Iter	Nodes
done	5013
2	2468
1	581
0	167

prune612.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

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))
0.5b	(* (* b b) (- 1 (* 3 a)))
1.0b	(* (* b b) (+ (* b b) (* 2 (* a a))))

rewrite254.0ms

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:

147.0ms	(+ (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (pow a 4)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
43.0ms	(* (* a a) (+ 1 a))
33.0ms	(* (* b b) (- 1 (* 3 a)))
28.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

series376.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(+ (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (pow a 4)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
86.0ms	(* (* a a) (+ 1 a))
66.0ms	(* (* b b) (- 1 (* 3 a)))
101.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

simplify2.0s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
1	1014
0	273

prune747.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* b b) (- 1 (* 3 a)))
0.6b	(* (* b b) (sqrt (+ (* b b) (* 2 (* a a)))))
7.2b	(sqrt (+ (* b b) (* 2 (* a a))))
7.2b	(sqrt (+ (* b b) (* 2 (* a a))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

30.0ms	(* (* b b) (- 1 (* 3 a)))
31.0ms	(* (* b b) (sqrt (+ (* b b) (* 2 (* a a)))))
6.0ms	(sqrt (+ (* b b) (* 2 (* a a))))
12.0ms	(sqrt (+ (* b b) (* 2 (* a a))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (* b b) (- 1 (* 3 a)))
93.0ms	(* (* b b) (sqrt (+ (* b b) (* 2 (* a a)))))
72.0ms	(sqrt (+ (* b b) (* 2 (* a a))))
72.0ms	(sqrt (+ (* b b) (* 2 (* a a))))

simplify3.8s

Counts

96 → 96

Iterations

Iter	Nodes
done	5004
3	4563
2	1004
1	343
0	115

prune688.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes168.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	41
1	41
0	26

end0.0ms

sample5.5s

Algorithm

intervals

Results

5.0s

20122×

body

valid