Details

sample197.0ms

Algorithm

intervals

Results

71.0ms	915×	body	80	nan
55.0ms	294×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3827
6	1760
5	891
4	462
3	190
2	72
1	27
0	13

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 1.0 (/ 1.0 (/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand))) (- a (/ 1.0 3.0)))
0.1b	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.2b	(/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand)
1.1b	(/ 1.0 (/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

109×	`times-frac`
71×	`add-sqr-sqrt`
68×	`*-un-lft-identity`
64×	`add-cube-cbrt`
19×	`associate-/r*`
17×	`sqrt-prod`
13×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
7×	`associate-/l*`
6×	`associate-r` `associate-*l/` `div-inv`
5×	`flip3--` `flip--`
4×	`frac-times` `cbrt-undiv` `sqrt-div` `div-exp` `associate-l` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `sqrt-pow1` `pow-prod-down` `associate-*r/` `difference-of-squares` `associate-/l/`
1×	`pow1/2` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

148.0ms	(* (+ 1.0 (/ 1.0 (/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand))) (- a (/ 1.0 3.0)))
10.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
20.0ms	(/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand)
30.0ms	(/ 1.0 (/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand))

series812.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (+ 1.0 (/ 1.0 (/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand))) (- a (/ 1.0 3.0)))
87.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
252.0ms	(/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand)
264.0ms	(/ 1.0 (/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand))

simplify579.0ms

Counts

174 → 174

Iterations

Iter	Nodes
done	5000
1	1096
0	395

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 1.0 (/ 1.0 (* 1 (/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand)))) (- a (/ 1.0 3.0)))
0.1b	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.2b	(/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand)
1.1b	(/ 1.0 (* 1 (/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

71.0ms	(* (+ 1.0 (/ 1.0 (* 1 (/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand)))) (- a (/ 1.0 3.0)))
19.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
27.0ms	(/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand)
62.0ms	(/ 1.0 (* 1 (/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand)))

series737.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (+ 1.0 (/ 1.0 (* 1 (/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand)))) (- a (/ 1.0 3.0)))
113.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
227.0ms	(/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand)
225.0ms	(/ 1.0 (* 1 (/ (sqrt (* (- a (/ 1.0 3.0)) 9.0)) rand)))

simplify2.1s

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
2	4792
1	880
0	318

prune682.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.1b	(* (+ 1.0 (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (/ (sqrt 9.0) rand))) (- a (/ 1.0 3.0)))
0.2b	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.3b	(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (/ (sqrt 9.0) rand))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

2061×	`times-frac`
1213×	`add-sqr-sqrt`
987×	`*-un-lft-identity`
835×	`add-cube-cbrt`
750×	`sqrt-prod`
150×	`difference-of-squares`
75×	`distribute-lft-out--`
59×	`div-inv`
50×	`sqrt-div`
49×	`associate-/r/`
36×	`associate-/l*`
31×	`associate-/r*`
28×	`flip3--` `flip--`
20×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
7×	`pow1`
6×	`associate-r`
4×	`frac-times` `associate-l` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr` `associate-/l/`

Counts

4 → 906

Calls

4 calls:

27.0ms	(sqrt (- a (/ 1.0 3.0)))
1.2s	(* (+ 1.0 (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (/ (sqrt 9.0) rand))) (- a (/ 1.0 3.0)))
35.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
70.0ms	(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (/ (sqrt 9.0) rand))

series787.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt (- a (/ 1.0 3.0)))
284.0ms	(* (+ 1.0 (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (/ (sqrt 9.0) rand))) (- a (/ 1.0 3.0)))
127.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
324.0ms	(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (/ (sqrt 9.0) rand))

simplify2.7s

Counts

918 → 918

Iterations

Iter	Nodes
done	5000
1	4266
0	1225

prune4.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 1.0 (* (/ 1.0 1) (* (/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand))) (- a (/ 1.0 3.0)))
0.2b	(* (/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand)
0.2b	(/ 1 (sqrt (- a (/ 1.0 3.0))))
0.3b	(/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))

rewrite394.0ms

Algorithm

rewrite-expression-head

Rules

836×	`times-frac`
626×	`add-sqr-sqrt`
468×	`sqrt-prod`
460×	`*-un-lft-identity`
368×	`add-cube-cbrt`
205×	`associate-l`
88×	`difference-of-squares`
44×	`distribute-lft-out--`
36×	`associate-/l*`
34×	`add-exp-log`
28×	`sqrt-div` `associate-/r/`
22×	`add-cbrt-cube`
17×	`flip3--` `flip--`
16×	`div-inv`
15×	`associate-/r*`
14×	`div-exp`
12×	`unswap-sqr`
10×	`pow1`
9×	`associate-r`
7×	`cbrt-undiv`
6×	`prod-exp`
4×	`frac-times` `cbrt-unprod` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `associate-*l/` `flip-+` `pow-flip`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-r/` `-commutative`
1×	`sqrt-pow1` `pow1/2` `inv-pow` `associate-/l/`

Counts

4 → 580

Calls

4 calls:

53.0ms	(* (+ 1.0 (* (/ 1.0 1) (* (/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand))) (- a (/ 1.0 3.0)))
147.0ms	(* (/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand)
41.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))
83.0ms	(/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))

series871.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(* (+ 1.0 (* (/ 1.0 1) (* (/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand))) (- a (/ 1.0 3.0)))
268.0ms	(* (/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) rand)
80.0ms	(/ 1 (sqrt (- a (/ 1.0 3.0))))
233.0ms	(/ (/ 1 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))

simplify1.2s

Counts

592 → 592

Iterations

Iter	Nodes
done	5000
1	1845
0	666

prune2.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes556.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	22
2	22
1	21
0	15

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.6s	26426×	body	80	nan
824.0ms	9076×	body	80	valid