Details

sample123.0ms

Algorithm

intervals

Results

73.0ms	782×	body	80	nan
25.0ms	295×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9 (- a (/ 1.0 3.0)))
0.3b	(* (/ (- 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))))

rewrite146.0ms

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:

37.0ms	(* 9 (- a (/ 1.0 3.0)))
61.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
30.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
13.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

series451.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* 9 (- a (/ 1.0 3.0)))
168.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
99.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
102.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))

simplify2.5s

Counts

156 → 156

Iterations

Iter	Nodes
3	5404
2	1773
1	651
0	257

prune1.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

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)
64.0ms	(* (/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0)))) rand)
31.0ms	(/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0))))

series398.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sqrt (- a (/ 1.0 3.0)))
65.0ms	(/ (- a (/ 1.0 3.0)) 3)
171.0ms	(* (/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0)))) rand)
111.0ms	(/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0))))

simplify2.3s

Counts

551 → 551

Iterations

Iter	Nodes
2	4101
1	1500
0	598

prune6.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
20×	`add-cbrt-cube` `add-exp-log`
17×	`times-frac`
15×	`associate-l`
13×	`add-cube-cbrt` `sqrt-prod`
12×	`associate-r`
10×	`difference-of-squares`
9×	`pow1`
8×	`sqrt-div`
6×	`prod-exp` `associate-r/` `cbrt-unprod` `associate-/l`
5×	`flip3--` `flip--` `distribute-lft-out--`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-prod-down` `*-commutative` `div-inv` `associate-/l/`
1×	`rem-sqrt-square` `clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `associate-l/`

Counts

4 → 113

Calls

4 calls:

8.0ms	(sqrt (- a (/ 1.0 3.0)))
95.0ms	(* (/ (- a (/ 1.0 3.0)) (* 3 (sqrt (- a (/ 1.0 3.0))))) rand)
30.0ms	(/ (- a (/ 1.0 3.0)) (* 3 (sqrt (- a (/ 1.0 3.0)))))
20.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))

series458.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (- a (/ 1.0 3.0)))
175.0ms	(* (/ (- a (/ 1.0 3.0)) (* 3 (sqrt (- a (/ 1.0 3.0))))) rand)
120.0ms	(/ (- a (/ 1.0 3.0)) (* 3 (sqrt (- a (/ 1.0 3.0)))))
101.0ms	(* 3 (sqrt (- a (/ 1.0 3.0))))

simplify3.7s

Counts

125 → 125

Iterations

Iter	Nodes
3	8065
2	1772
1	567
0	224

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1 (* (/ rand 3) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
0.0b	(sqrt (- a (/ 1.0 3.0)))
0.4b	(* (/ rand 3) (sqrt (- a (/ 1.0 3.0))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`associate-*r/`
14×	`sqrt-div` `sqrt-prod`
13×	`times-frac` `associate-l` `add-cube-cbrt`
12×	`flip3--` `flip--`
10×	`frac-add`
9×	`associate-r`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`frac-times` `pow1`
4×	`difference-of-squares` `unswap-sqr`
3×	`associate-*l/` `insert-posit16` `distribute-lft-out--`
2×	`associate-+r+` `sum-log` `prod-exp` `cbrt-unprod` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `associate-+r-` `sub-neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `div-inv`

Counts

3 → 92

Calls

3 calls:

72.0ms	(+ (* 1 (* (/ rand 3) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
12.0ms	(sqrt (- a (/ 1.0 3.0)))
48.0ms	(* (/ rand 3) (sqrt (- a (/ 1.0 3.0))))

series254.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (* 1 (* (/ rand 3) (sqrt (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
44.0ms	(sqrt (- a (/ 1.0 3.0)))
115.0ms	(* (/ rand 3) (sqrt (- a (/ 1.0 3.0))))

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
2	2434
1	741
0	242

prune872.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes105.0ms

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
2	18
1	18
0	13

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.9s	27565×	body	80	nan
1.1s	9182×	body	80	valid