Details

sample180.0ms

Algorithm

intervals

Results

113.0ms	979×	body	80	nan
33.0ms	297×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	2316
5	1092
4	499
3	173
2	71
1	30
0	14

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9 (- a (/ 1.0 3.0)))
0.2b	(* (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9 (- a (/ 1.0 3.0))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
59×	`times-frac`
50×	`*-un-lft-identity`
33×	`associate-l`
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-r`
8×	`associate-*r/`
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×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `sqrt-pow1` `div-exp` `*-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow1/2` `div-sub` `associate-*l/`

Counts

4 → 144

Calls

4 calls:

21.0ms	(* 9 (- a (/ 1.0 3.0)))
63.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
31.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
13.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* 9 (- a (/ 1.0 3.0)))
163.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
97.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
95.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify2.3s

Counts

156 → 156

Iterations

Iter	Nodes
3	5404
2	1773
1	651
0	257

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.0b	(/ (- a (/ 1.0 3.0)) 3)
0.2b	(* (/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0)))) rand)
0.3b	(/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

869×	`times-frac`
850×	`add-sqr-sqrt`
512×	`*-un-lft-identity`
298×	`add-cube-cbrt`
278×	`sqrt-prod`
214×	`difference-of-squares`
204×	`associate-l`
107×	`distribute-lft-out--`
28×	`associate-/l*`
22×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-exp`
6×	`sqrt-div`
5×	`unswap-sqr`
4×	`flip3--` `associate-/r/` `insert-posit16` `flip--` `add-log-exp`
3×	`div-sub` `associate-r` `prod-exp` `cbrt-unprod` `associate-/l/`
2×	`clear-num` `frac-2neg`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 539

Calls

4 calls:

15.0ms	(sqrt (- a (/ 1.0 3.0)))
20.0ms	(/ (- a (/ 1.0 3.0)) 3)
51.0ms	(* (/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0)))) rand)
54.0ms	(/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0))))

series339.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (- a (/ 1.0 3.0)))
48.0ms	(/ (- a (/ 1.0 3.0)) 3)
156.0ms	(* (/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0)))) rand)
93.0ms	(/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0))))

simplify1.9s

Counts

551 → 551

Iterations

Iter	Nodes
2	4101
1	1500
0	598

prune6.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.3b	(* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
0.4b	(* (/ 1 (sqrt 9)) (* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) rand))
0.5b	(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

239×	`add-sqr-sqrt`
161×	`times-frac`
131×	`*-un-lft-identity`
94×	`sqrt-prod`
82×	`associate-l`
66×	`difference-of-squares`
65×	`add-cube-cbrt`
50×	`add-exp-log`
33×	`distribute-lft-out--`
32×	`add-cbrt-cube`
22×	`prod-exp`
15×	`pow1`
12×	`div-exp` `cbrt-unprod`
9×	`associate-/r*`
7×	`cbrt-undiv`
6×	`sqrt-div` `associate-/l*`
4×	`flip3--` `associate-r` `pow-prod-down` `associate-*l/` `associate-/r/` `insert-posit16` `flip--` `add-log-exp`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative` `pow-div` `associate-/l/`
1×	`frac-times` `rem-sqrt-square` `clear-num` `frac-2neg` `div-sub` `associate-*r/`

Counts

4 → 244

Calls

4 calls:

7.0ms	(sqrt (- a (/ 1.0 3.0)))
63.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
112.0ms	(* (/ 1 (sqrt 9)) (* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) rand))
31.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

series437.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sqrt (- a (/ 1.0 3.0)))
133.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) rand)
155.0ms	(* (/ 1 (sqrt 9)) (* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) rand))
97.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

simplify1.2s

Counts

256 → 256

Iterations

Iter	Nodes
2	2534
1	900
0	348

prune3.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 1 (sqrt 9)) (* (* (sqrt (- a (/ 1.0 3.0))) 1) rand)) (- a (/ 1.0 3.0)))
0.0b	(sqrt (- a (/ 1.0 3.0)))
0.3b	(* (* (sqrt (- a (/ 1.0 3.0))) 1) rand)
0.4b	(* (/ 1 (sqrt 9)) (* (* (sqrt (- a (/ 1.0 3.0))) 1) rand))

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-exp-log`
41×	`prod-exp`
31×	`associate-*l/`
30×	`add-cbrt-cube`
25×	`add-sqr-sqrt`
23×	`associate-l`
21×	`*-un-lft-identity`
19×	`pow1` `times-frac` `add-cube-cbrt`
16×	`sqrt-div`
15×	`sqrt-prod` `cbrt-unprod`
13×	`flip3--` `flip--`
10×	`frac-add`
9×	`1-exp` `pow-prod-down` `add-log-exp`
8×	`div-exp`
6×	`frac-times` `associate-*r/`
4×	`rec-exp` `associate-r` `insert-posit16`
3×	`cbrt-undiv`
2×	`associate-+r+` `sum-log` `*-commutative` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `associate-+r-` `sub-neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `flip-+` `div-inv` `distribute-lft-out--`

Counts

4 → 129

Calls

4 calls:

138.0ms	(+ (* (/ 1 (sqrt 9)) (* (* (sqrt (- a (/ 1.0 3.0))) 1) rand)) (- a (/ 1.0 3.0)))
7.0ms	(sqrt (- a (/ 1.0 3.0)))
44.0ms	(* (* (sqrt (- a (/ 1.0 3.0))) 1) rand)
169.0ms	(* (/ 1 (sqrt 9)) (* (* (sqrt (- a (/ 1.0 3.0))) 1) rand))

series453.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (* (/ 1 (sqrt 9)) (* (* (sqrt (- a (/ 1.0 3.0))) 1) rand)) (- a (/ 1.0 3.0)))
48.0ms	(sqrt (- a (/ 1.0 3.0)))
139.0ms	(* (* (sqrt (- a (/ 1.0 3.0))) 1) rand)
176.0ms	(* (/ 1 (sqrt 9)) (* (* (sqrt (- a (/ 1.0 3.0))) 1) rand))

simplify1.3s

Counts

141 → 141

Iterations

Iter	Nodes
2	2966
1	891
0	292

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	14
1	14
0	12

end0.0ms

sample6.3s

Algorithm

intervals

Results

4.1s	27345×	body	80	nan
1.3s	9165×	body	80	valid