Details

sample201.0ms

Algorithm

intervals

Results

128.0ms	1044×	body	80	nan
36.0ms	303×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
7	3296
6	1984
5	1152
4	612
3	202
2	71
1	28
0	14

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
59×	`times-frac`
50×	`*-un-lft-identity`
36×	`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-*r/`
6×	`sqrt-div` `associate-l` `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`

Counts

4 → 144

Calls

4 calls:

20.0ms	(* 9 (- a (/ 1.0 3.0)))
10.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
48.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
85.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))

series389.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* 9 (- a (/ 1.0 3.0)))
71.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
82.0ms	(/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0)))))
163.0ms	(* rand (/ (- a (/ 1.0 3.0)) (sqrt (* 9 (- a (/ 1.0 3.0))))))

simplify3.4s

Counts

156 → 156

Iterations

Iter	Nodes
3	6319
2	1942
1	662
0	256

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
89×	`add-sqr-sqrt`
76×	`*-un-lft-identity`
66×	`add-cube-cbrt`
21×	`sqrt-prod`
17×	`associate-r`
16×	`associate-/l*`
14×	`associate-*r/`
13×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-div`
9×	`pow1` `div-inv`
8×	`associate-/r*` `associate-/r/`
6×	`flip3--` `flip--` `difference-of-squares`
5×	`distribute-lft-out--`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-out--` `associate-l`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow-prod-down`
1×	`pow1/2` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `sub-div` `unswap-sqr` `associate-/l/`

Counts

4 → 176

Calls

4 calls:

11.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
18.0ms	(/ a (sqrt (* 9 (- a (/ 1.0 3.0)))))
179.0ms	(* rand (- (/ a (sqrt (* 9 (- a (/ 1.0 3.0))))) (/ (/ 1.0 3.0) (sqrt (* 9 (- a (/ 1.0 3.0)))))))
13.0ms	(/ (/ 1.0 3.0) (sqrt (* 9 (- a (/ 1.0 3.0)))))

series739.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
205.0ms	(/ a (sqrt (* 9 (- a (/ 1.0 3.0)))))
342.0ms	(* rand (- (/ a (sqrt (* 9 (- a (/ 1.0 3.0))))) (/ (/ 1.0 3.0) (sqrt (* 9 (- a (/ 1.0 3.0)))))))
127.0ms	(/ (/ 1.0 3.0) (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify1.0s

Counts

188 → 188

Iterations

Iter	Nodes
2	2567
1	940
0	405

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize37.0ms

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

rewrite148.0ms

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-r`
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-l` `prod-exp` `cbrt-unprod` `associate-/l/`
2×	`clear-num` `frac-2neg`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 539

Calls

4 calls:

7.0ms	(sqrt (- a (/ 1.0 3.0)))
18.0ms	(/ (- a (/ 1.0 3.0)) 3)
60.0ms	(* rand (/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0)))))
42.0ms	(/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0))))

series308.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sqrt (- a (/ 1.0 3.0)))
63.0ms	(/ (- a (/ 1.0 3.0)) 3)
124.0ms	(* rand (/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0)))))
69.0ms	(/ (/ (- a (/ 1.0 3.0)) 3) (sqrt (- a (/ 1.0 3.0))))

simplify3.9s

Counts

551 → 551

Iterations

Iter	Nodes
2	4626
1	1647
0	622

prune3.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

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)))))

rewrite114.0ms

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:

27.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
6.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
57.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
22.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

series472.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))
90.0ms	(sqrt (* 9 (- a (/ 1.0 3.0))))
197.0ms	(* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)
84.0ms	(/ 1 (sqrt (* 9 (- a (/ 1.0 3.0)))))

simplify1.8s

Counts

140 → 140

Iterations

Iter	Nodes
2	2380
1	742
0	281

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes226.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	17
1	17
0	14

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.9s	28021×	body	80	nan
1.2s	9201×	body	80	valid