Details

sample203.0ms

Algorithm

intervals

Results

104.0ms	872×	body	80	nan
62.0ms	305×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2003
5	2003
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

localize36.0ms

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

rewrite145.0ms

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:

42.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
10.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
67.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
22.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

series499.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
83.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
208.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
109.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify1.2s

Counts

140 → 140

Iterations

Iter	Nodes
done	2001
2	2001
1	769
0	281

prune782.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- a (/ 1.0 3.0)) (* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0))))
0.2b	(sqrt (* 9 (- a (/ 1.0 3.0))))
0.2b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
9.7b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-l`
14×	`flip3--` `flip--`
12×	`associate-*r/`
11×	`add-cbrt-cube` `add-exp-log`
10×	`frac-add`
9×	`pow1` `add-log-exp`
8×	`sqrt-prod`
6×	`frac-times` `sqrt-div` `associate-r`
5×	`sub-neg`
4×	`distribute-rgt-in` `associate-+r+` `associate-/r*` `distribute-lft-in` `associate-/r/` `insert-posit16`
3×	`associate-l/` `associate-/l`
2×	`cbrt-undiv` `associate-+l+` `sum-log` `sqrt-pow1` `distribute-rgt-out` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `clear-num` `frac-2neg` `flip3-+` `pow1/2` `diff-log` `distribute-rgt1-in` `*-commutative` `associate-+l-` `flip-+`

Counts

4 → 130

Calls

4 calls:

34.0ms	(+ (- a (/ 1.0 3.0)) (* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0))))
7.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
11.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
74.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

series494.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ (- a (/ 1.0 3.0)) (* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0))))
77.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
174.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
123.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

simplify1.3s

Counts

142 → 142

Iterations

Iter	Nodes
done	2014
2	2014
1	823
0	300

prune887.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.2b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.4b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- (/ 1.0 3.0)))
9.7b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) a)

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

68×	`times-frac`
64×	`add-sqr-sqrt`
54×	`*-un-lft-identity` `add-cube-cbrt`
36×	`associate-l`
33×	`associate-r`
18×	`add-cbrt-cube` `add-exp-log`
14×	`sqrt-prod`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
9×	`associate-*r/`
8×	`pow1` `associate-/r*` `sqrt-div` `associate-/r/`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `distribute-neg-frac`
1×	`frac-times` `neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 174

Calls

4 calls:

21.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
22.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
81.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- (/ 1.0 3.0)))
75.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) a)

series844.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
170.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
184.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- (/ 1.0 3.0)))
314.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) a)

simplify1.3s

Counts

186 → 186

Iterations

Iter	Nodes
done	2004
2	2004
1	858
0	291

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite454.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
57×	`times-frac`
47×	`*-un-lft-identity`
46×	`add-cube-cbrt`
39×	`associate-l`
37×	`add-exp-log`
34×	`associate-r`
25×	`add-cbrt-cube`
17×	`pow1`
15×	`prod-exp`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`sqrt-prod`
9×	`cbrt-unprod`
8×	`associate-*r/`
7×	`div-exp`
6×	`sqrt-div` `pow-prod-down` `associate-/r/`
5×	`div-inv` `unswap-sqr`
4×	`cbrt-undiv` `associate-/r*` `insert-posit16` `pow-flip` `add-log-exp`
3×	`rec-exp` `flip3--` `1-exp` `associate-l/` `-commutative` `flip--` `associate-/l*`
2×	`sqrt-pow1` `distribute-neg-frac`
1×	`frac-times` `clear-num` `neg-mul-1` `frac-2neg` `pow1/2` `distribute-rgt-neg-out` `inv-pow`

Counts

4 → 174

Calls

4 calls:

99.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) a)
232.0ms	(* rand (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) a))
34.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
84.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- (/ 1.0 3.0)))

series868.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) a)
316.0ms	(* rand (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) a))
112.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))
183.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- (/ 1.0 3.0)))

simplify1.2s

Counts

186 → 186

Iterations

Iter	Nodes
done	2002
2	2002
1	1052
0	374

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	35
3	35
2	32
1	28
0	18

end0.0ms

sample7.1s

Algorithm

intervals

Results

4.4s	27332×	body	80	nan
1.4s	9129×	body	80	valid