Details

sample207.0ms

Algorithm

intervals

Results

133.0ms	916×	body	80	nan
37.0ms	285×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2319
4	806
3	225
2	76
1	30
0	14

prune16.0ms

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)))
0.1b	(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)))))

rewrite181.0ms

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)))
6.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
100.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
30.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

series508.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
103.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
209.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
85.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify2.3s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	2787
1	769
0	281

prune670.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9 (- a (/ 1.0 3.0)))
0.1b	(sqrt (* 9 (- a (/ 1.0 3.0))))
0.3b	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
8.5b	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

rewrite153.0ms

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:

41.0ms	(* 9 (- a (/ 1.0 3.0)))
13.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
20.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
76.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* 9 (- a (/ 1.0 3.0)))
82.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
151.0ms	(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
118.0ms	(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))

simplify1.8s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
2	2286
1	656
0	251

prune640.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a (/ 1.0 3.0)) 9)
0.1b	(sqrt (* (- a (/ 1.0 3.0)) 9))
0.2b	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
0.3b	(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
59×	`times-frac`
50×	`*-un-lft-identity`
33×	`associate-r`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
14×	`sqrt-prod`
13×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
10×	`distribute-lft-out--`
9×	`associate-l`
8×	`associate-*l/`
6×	`sqrt-div` `associate-/l*`
5×	`flip3--` `flip--`
4×	`associate-/r*` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `sqrt-pow1` `div-exp` `*-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow1/2` `div-sub` `associate-*r/`

Counts

4 → 140

Calls

4 calls:

20.0ms	(* (- a (/ 1.0 3.0)) 9)
9.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9))
52.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
29.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- a (/ 1.0 3.0)) 9)
59.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9))
121.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9))))
80.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* (- a (/ 1.0 3.0)) 9)))

simplify1.7s

Counts

152 → 152

Iterations

Iter	Nodes
done	5002
2	2011
1	644
0	253

prune756.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

156×	`add-sqr-sqrt`
145×	`sqrt-prod`
126×	`times-frac`
99×	`*-un-lft-identity`
71×	`add-cube-cbrt`
58×	`associate-r`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
11×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*` `add-log-exp`
7×	`pow1`
6×	`associate-/r*`
5×	`unswap-sqr`
4×	`sqrt-div` `insert-posit16`
3×	`flip3--` `associate-l` `associate-*r/` `flip--`
2×	`cbrt-undiv` `associate-+l+` `sum-log` `div-exp` `frac-add` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `sqrt-undiv` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `pow-prod-down` `*-commutative` `associate-+l-` `flip-+`

Counts

4 → 203

Calls

4 calls:

37.0ms	(+ (- a (/ 1.0 3.0)) (* rand (/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9))))
14.0ms	(sqrt (- a (/ 1.0 3.0)))
25.0ms	(* rand (/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9)))
21.0ms	(/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9))

series386.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (- a (/ 1.0 3.0)) (* rand (/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9))))
51.0ms	(sqrt (- a (/ 1.0 3.0)))
153.0ms	(* rand (/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9)))
98.0ms	(/ (sqrt (- a (/ 1.0 3.0))) (sqrt 9))

simplify1.6s

Counts

215 → 215

Iterations

Iter	Nodes
done	5000
2	2019
1	696
0	298

prune732.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.4s	27044×	body	80	nan
1.4s	9082×	body	80	valid