Details

sample180.0ms

Algorithm

intervals

Results

150.0ms

688×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
5	5568
4	1638
3	539
2	179
1	54
0	19

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.2b	(* -12 (* a (* b b)))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.7b	(* a (* b b))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1`
25×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`associate-r`
7×	`pow-plus` `pow-prod-up`
6×	`flip3-+` `flip-+`
4×	`frac-times` `*-commutative` `insert-posit16` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr` `unswap-sqr`
2×	`associate-l/` `associate-r/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow3`

Counts

4 → 107

Calls

4 calls:

30.0ms	(* (* a a) a)
38.0ms	(* -12 (* a (* b b)))
64.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
19.0ms	(* a (* b b))

series220.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* a a) a)
51.0ms	(* -12 (* a (* b b)))
69.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
47.0ms	(* a (* b b))

simplify629.0ms

Counts

119 → 119

Iterations

Iter	Nodes
2	2029
1	478
0	147

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -12 (* a (* b b)))
0.7b	(* a (* b b))
8.6b	(sqrt (+ (* a a) (* b b)))
8.6b	(sqrt (+ (* a a) (* b b)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

67.0ms	(* -12 (* a (* b b)))
24.0ms	(* a (* b b))
6.0ms	(sqrt (+ (* a a) (* b b)))
7.0ms	(sqrt (+ (* a a) (* b b)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* -12 (* a (* b b)))
48.0ms	(* a (* b b))
62.0ms	(sqrt (+ (* a a) (* b b)))
50.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.9s

Counts

86 → 86

Iterations

Iter	Nodes
3	3724
2	737
1	235
0	93

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -12 (* a (* b b)))
0.2b	(* (* a a) (* a a))
0.7b	(* a (* b b))
1.4b	(* (* b b) (+ (* b b) (* (* a a) 2)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

134×	`pow1`
36×	`pow-prod-up`
35×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
22×	`pow-sqr`
20×	`prod-exp` `cbrt-unprod`
18×	`pow-plus`
13×	`pow2`
9×	`add-sqr-sqrt`
8×	`associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `swap-sqr` `flip-+`

Counts

4 → 130

Calls

4 calls:

73.0ms	(* -12 (* a (* b b)))
49.0ms	(* (* a a) (* a a))
27.0ms	(* a (* b b))
35.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* -12 (* a (* b b)))
46.0ms	(* (* a a) (* a a))
48.0ms	(* a (* b b))
119.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))

simplify11.1s

Counts

142 → 142

Iterations

Iter	Nodes
3	11696
2	1918
1	425
0	140

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.2b	(* -12 (* a (* b b)))
0.7b	(* a (* b b))
1.4b	(* (* b b) (+ (* b b) (* (* a a) 2)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

42×	`pow1`
28×	`add-cbrt-cube` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
6×	`pow-plus` `pow-prod-up`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`pow2` `associate-*r/` `pow-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow3` `flip-+`

Counts

4 → 95

Calls

4 calls:

23.0ms	(* (* a a) a)
54.0ms	(* -12 (* a (* b b)))
29.0ms	(* a (* b b))
45.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* a a) a)
45.0ms	(* -12 (* a (* b b)))
64.0ms	(* a (* b b))
91.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))

simplify4.7s

Counts

107 → 107

Iterations

Iter	Nodes
3	7210
2	1481
1	384
0	129

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	34
1	34
0	22

end0.0ms

sample5.9s

Algorithm

intervals

Results

5.3s

20839×

body

valid