Details

sample82.0ms

Algorithm

intervals

Results

65.0ms

579×

body

valid

simplify538.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2007
3	672
2	166
1	54
0	18

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4 (* a (+ (* b b) (* a (- 1 a)))))
0.1b	(* a (+ (* b b) (* a (- 1 a))))
0.2b	(* 12 (* b b))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
12×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
8×	`flip3-+` `associate-r` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod` `flip-+`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`frac-times` `*-commutative` `insert-posit16` `add-log-exp`
3×	`swap-sqr` `unswap-sqr`
2×	`associate-*l/`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 104

Calls

4 calls:

29.0ms	(* 4 (* a (+ (* b b) (* a (- 1 a)))))
18.0ms	(* a (+ (* b b) (* a (- 1 a))))
14.0ms	(* 12 (* b b))
37.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* 4 (* a (+ (* b b) (* a (- 1 a)))))
58.0ms	(* a (+ (* b b) (* a (- 1 a))))
34.0ms	(* 12 (* b b))
38.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify454.0ms

Counts

116 → 116

Iterations

Iter	Nodes
done	2000
1	624
0	181

prune528.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 12 (* b b))
0.2b	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
10.8b	(sqrt (+ (* a a) (* b b)))
10.8b	(sqrt (+ (* a a) (* b b)))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `sqrt-div` `add-cube-cbrt` `sqrt-prod`
9×	`associate-l`
8×	`flip3-+` `flip-+`
4×	`frac-times` `sqrt-pow1` `pow1/2` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`rem-sqrt-square` `pow-plus` `associate-l/` `associate-r/` `*-commutative` `pow-prod-up`
1×	`distribute-rgt-in` `distribute-lft-in` `cube-unmult`

Counts

4 → 90

Calls

4 calls:

303.0ms	(* 12 (* b b))
50.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
10.0ms	(sqrt (+ (* a a) (* b b)))
10.0ms	(sqrt (+ (* a a) (* b b)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 12 (* b b))
115.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
58.0ms	(sqrt (+ (* a a) (* b b)))
42.0ms	(sqrt (+ (* a a) (* b b)))

simplify719.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	2003
2	1326
1	378
0	120

prune577.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))
0.2b	(* 12 (* b b))
10.8b	(sqrt (+ (* a a) (* b b)))
10.8b	(sqrt (+ (* a a) (* b b)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`sqrt-prod`
19×	`associate-r`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`unswap-sqr`
12×	`pow1`
11×	`add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod`
9×	`associate-l`
8×	`flip3-+` `flip-+`
6×	`cube-div` `prod-exp`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `sqr-pow`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `associate-r/` `*-commutative`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `pow-prod-up`

Counts

4 → 110

Calls

4 calls:

74.0ms	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))
29.0ms	(* 12 (* b b))
6.0ms	(sqrt (+ (* a a) (* b b)))
10.0ms	(sqrt (+ (* a a) (* b b)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))
47.0ms	(* 12 (* b b))
43.0ms	(sqrt (+ (* a a) (* b b)))
50.0ms	(sqrt (+ (* a a) (* b b)))

simplify707.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	2001
2	1118
1	371
0	140

prune627.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4 (* a (+ (* b b) (* a (- 1 a)))))
0.1b	(* a (+ (* b b) (* a (- 1 a))))
0.2b	(* 12 (* b b))
10.8b	(sqrt (+ (* a a) (* b b)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

41.0ms	(* 4 (* a (+ (* b b) (* a (- 1 a)))))
24.0ms	(* a (+ (* b b) (* a (- 1 a))))
15.0ms	(* 12 (* b b))
6.0ms	(sqrt (+ (* a a) (* b b)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* 4 (* a (+ (* b b) (* a (- 1 a)))))
69.0ms	(* a (+ (* b b) (* a (- 1 a))))
29.0ms	(* 12 (* b b))
39.0ms	(sqrt (+ (* a a) (* b b)))

simplify905.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	2003
2	1722
1	445
0	152

prune506.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes136.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	28
1	28
0	19

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.9s

20362×

body

valid