Details

sample145.0ms

Algorithm

intervals

Results

117.0ms

638×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

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:

28.0ms	(* 4 (* a (+ (* b b) (* a (- 1 a)))))
27.0ms	(* a (+ (* b b) (* a (- 1 a))))
25.0ms	(* 12 (* b b))
55.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* 4 (* a (+ (* b b) (* a (- 1 a)))))
58.0ms	(* a (+ (* b b) (* a (- 1 a))))
30.0ms	(* 12 (* b b))
38.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify1.0s

Counts

116 → 116

Iterations

Iter	Nodes
done	2000
2	2000
1	624
0	181

prune682.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize92.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
0.2b	(* 12 (* b b))
9.0b	(sqrt (+ (* a a) (* b b)))
9.0b	(sqrt (+ (* a a) (* b b)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `sqrt-div` `add-cube-cbrt` `sqrt-prod`
8×	`flip3-+` `flip-+`
7×	`associate-r`
6×	`associate-l`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `unswap-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/` `*-commutative` `pow-prod-up`
1×	`pow3`

Counts

4 → 86

Calls

4 calls:

47.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
28.0ms	(* 12 (* b b))
12.0ms	(sqrt (+ (* a a) (* b b)))
13.0ms	(sqrt (+ (* a a) (* b b)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
31.0ms	(* 12 (* b b))
51.0ms	(sqrt (+ (* a a) (* b b)))
47.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.2s

Counts

98 → 98

Iterations

Iter	Nodes
done	2006
3	2006
2	1064
1	298
0	117

prune615.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b	(* a (+ (* b b) (* a (- 1 a))))
0.2b	(* 12 (* b b))
9.0b	(sqrt (+ (* a a) (* b b)))
9.0b	(sqrt (+ (* a a) (* b b)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

39.0ms	(* a (+ (* b b) (* a (- 1 a))))
28.0ms	(* 12 (* b b))
12.0ms	(sqrt (+ (* a a) (* b b)))
13.0ms	(sqrt (+ (* a a) (* b b)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* a (+ (* b b) (* a (- 1 a))))
40.0ms	(* 12 (* b b))
50.0ms	(sqrt (+ (* a a) (* b b)))
41.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	2001
3	2001
2	1223
1	341
0	115

prune609.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize386.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
16×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r` `associate-l`
8×	`flip3-+` `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`
2×	`associate-*l/` `unswap-sqr`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 103

Calls

4 calls:

31.0ms	(* 4 (* a (+ (* b b) (* a (- 1 a)))))
20.0ms	(* (* 12 b) b)
27.0ms	(* a (+ (* b b) (* a (- 1 a))))
44.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* 4 (* a (+ (* b b) (* a (- 1 a)))))
51.0ms	(* (* 12 b) b)
55.0ms	(* a (+ (* b b) (* a (- 1 a))))
43.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify939.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	2003
2	2003
1	632
0	183

prune580.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes241.0ms

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	31
1	31
0	21

end0.0ms

sample4.9s

Algorithm

intervals

Results

4.0s

20446×

body

valid