Details

sample144.0ms

Algorithm

intervals

Results

73.0ms	890×	body	80	nan
44.0ms	304×	body	80	valid

simplify708.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
4	806
3	225
2	76
1	30
0	14

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
0.2b	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9 (- a (/ 1.0 3.0))))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `times-frac`
24×	`associate-l` `add-cube-cbrt`
19×	`add-exp-log`
15×	`pow1`
13×	`add-cbrt-cube`
8×	`associate-*r/` `sqrt-prod`
6×	`flip3--` `sqrt-div` `associate-r` `flip--`
5×	`prod-exp`
4×	`frac-times` `associate-/r*` `sqrt-pow1` `div-exp` `pow-prod-down` `associate-/r/` `insert-posit16` `pow-flip` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `associate-l/` `cbrt-unprod` `flip-+` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `pow1/2` `1-exp` `*-commutative` `div-inv` `difference-of-squares`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `distribute-lft-out--` `inv-pow`

Counts

4 → 128

Calls

4 calls:

33.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
112.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
33.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
8.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

series465.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
175.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
100.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
82.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify558.0ms

Counts

140 → 140

Iterations

Iter	Nodes
done	2001
1	771
0	281

prune683.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1 (* (* (/ 1 3) (/ 1 (sqrt (- a (/ 1.0 3.0))))) rand)))
0.2b	(* (* (/ 1 3) (/ 1 (sqrt (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1 (sqrt (- a (/ 1.0 3.0))))
0.4b	(* (/ 1 3) (/ 1 (sqrt (- a (/ 1.0 3.0)))))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-sqr-sqrt`
108×	`add-exp-log`
93×	`times-frac`
75×	`*-un-lft-identity`
50×	`prod-exp`
48×	`add-cube-cbrt` `sqrt-prod`
39×	`associate-r`
38×	`add-cbrt-cube`
34×	`div-exp`
20×	`associate-l`
17×	`pow1` `rec-exp` `1-exp`
16×	`difference-of-squares` `unswap-sqr`
14×	`cbrt-unprod`
9×	`cbrt-undiv` `associate-/r*`
8×	`associate-*l/` `distribute-lft-out--`
7×	`pow-prod-down`
6×	`frac-times`
5×	`flip3--` `pow-flip` `flip--`
4×	`sqrt-div` `associate-*r/` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`flip3-+` `-commutative` `flip-+` `div-inv` `associate-/l` `inv-pow`
2×	`un-div-inv`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow1/2`

Counts

4 → 230

Calls

4 calls:

46.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (* (/ 1 3) (/ 1 (sqrt (- a (/ 1.0 3.0))))) rand)))
53.0ms	(* (* (/ 1 3) (/ 1 (sqrt (- a (/ 1.0 3.0))))) rand)
12.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))
30.0ms	(* (/ 1 3) (/ 1 (sqrt (- a (/ 1.0 3.0)))))

series511.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (* (/ 1 3) (/ 1 (sqrt (- a (/ 1.0 3.0))))) rand)))
225.0ms	(* (* (/ 1 3) (/ 1 (sqrt (- a (/ 1.0 3.0))))) rand)
68.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))
105.0ms	(* (/ 1 3) (/ 1 (sqrt (- a (/ 1.0 3.0)))))

simplify805.0ms

Counts

242 → 242

Iterations

Iter	Nodes
done	2003
1	1167
0	392

prune785.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.1b	(* (- a (/ 1.0 3.0)) (+ 1 (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) 3)))
0.2b	(/ rand (sqrt (- a (/ 1.0 3.0))))
0.2b	(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) 3)

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
216×	`add-sqr-sqrt`
161×	`*-un-lft-identity`
123×	`add-cube-cbrt`
102×	`sqrt-prod`
36×	`associate-/l*` `difference-of-squares`
18×	`distribute-lft-out--`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*` `sqrt-div`
10×	`associate-/r/`
9×	`flip3--` `flip--`
7×	`pow1`
6×	`associate-l` `div-inv`
4×	`frac-times` `cbrt-undiv` `div-exp` `associate-r` `insert-posit16` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`clear-num` `frac-2neg` `associate-l/` `associate-r/`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr` `associate-/l/`

Counts

4 → 257

Calls

4 calls:

15.0ms	(sqrt (- a (/ 1.0 3.0)))
125.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) 3)))
22.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
37.0ms	(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) 3)

series377.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt (- a (/ 1.0 3.0)))
89.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) 3)))
98.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))
144.0ms	(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) 3)

simplify903.0ms

Counts

269 → 269

Iterations

Iter	Nodes
done	2006
1	1134
0	443

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9 (- a (/ 1.0 3.0)))
0.2b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9 (- a (/ 1.0 3.0))))
8.4b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
24×	`add-cube-cbrt`
21×	`associate-l`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-r`
11×	`pow1`
10×	`associate-*r/`
8×	`sqrt-prod`
6×	`flip3--` `sqrt-div` `flip--`
4×	`distribute-rgt-in` `associate-/r*` `sub-neg` `distribute-lft-in` `associate-/r/` `insert-posit16` `add-log-exp` `difference-of-squares`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `sqrt-pow1` `div-exp` `*-commutative` `div-inv` `distribute-lft-out--`
1×	`clear-num` `frac-2neg` `pow1/2` `associate-*l/`

Counts

4 → 125

Calls

4 calls:

40.0ms	(* 9 (- a (/ 1.0 3.0)))
20.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
12.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
75.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

series427.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* 9 (- a (/ 1.0 3.0)))
142.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
82.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
123.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

simplify501.0ms

Counts

137 → 137

Iterations

Iter	Nodes
done	2001
1	656
0	251

prune587.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.3s	27430×	body	80	nan
1.1s	9117×	body	80	valid