Details

sample62.0ms

Algorithm

intervals

Results

23.0ms	786×	body	80	nan
9.0ms	293×	body	80	valid

simplify90.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	192	10
3	437	10
4	816	10
5	1578	10
6	2764	10
7	5002	10
done	5002	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.2b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

48.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
63.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
16.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
11.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
186.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
139.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
72.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify84.0ms

Counts

126 → 126

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	823	1338
1	3607	1238
2	5002	1238
done	5002	1238

prune369.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
0.2b	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

39.0ms	(* 9.0 (- a (/ 1.0 3.0)))
88.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
23.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
11.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series433.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 9.0 (- a (/ 1.0 3.0)))
121.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
192.0ms	(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
72.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify79.0ms

Counts

109 → 109

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	744	1044
1	3484	958
2	5001	958
done	5001	958

prune290.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
0.3b	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
0.3b	(sqrt (* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))
0.5b	(* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

123×	`pow1`
76×	`pow-prod-down`
60×	`sqrt-pow1`
38×	`add-sqr-sqrt`
37×	`pow1/2`
36×	`sqrt-div`
32×	`associate-*r/`
27×	`sqrt-prod`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
16×	`*-un-lft-identity` `pow-prod-up`
14×	`flip3--` `flip--`
13×	`associate-l`
12×	`add-cube-cbrt` `pow-sqr`
10×	`prod-exp` `cbrt-unprod`
8×	`frac-times` `unswap-sqr`
7×	`sqrt-unprod`
4×	`pow-plus` `associate-*l/` `add-log-exp` `difference-of-squares`
3×	`*-commutative`
2×	`pow2` `times-frac` `distribute-lft-out--`
1×	`rem-sqrt-square` `swap-sqr` `rem-square-sqrt`

Counts

4 → 164

Calls

4 calls:

42.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
44.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
103.0ms	(sqrt (* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))
114.0ms	(* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))

series373.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
89.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
89.0ms	(sqrt (* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))
107.0ms	(* (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))

simplify58.0ms

Counts

176 → 176

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	428	1302
1	1769	1143
2	5002	1127
done	5002	1127

prune403.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.4b	(/ (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
282×	`sqrt-prod`
188×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`sqrt-div`
30×	`associate-/l*`
24×	`associate-*r/`
20×	`associate-/r/`
14×	`associate-/r*`
12×	`flip3--` `flip--`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `div-inv`
4×	`cbrt-undiv` `sqrt-pow1` `div-exp` `add-log-exp`
2×	`frac-2neg` `pow1/2` `pow-prod-down` `clear-num`
1×	`associate-/l/`

Counts

4 → 311

Calls

4 calls:

19.0ms	(/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
11.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
11.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
49.0ms	(/ (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

series537.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
76.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
68.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
151.0ms	(/ (/ 1.0 (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (sqrt (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

simplify126.0ms

Counts

323 → 323

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	1171	6404
1	4386	5829
2	5001	5819
done	5001	5819

prune759.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10
done	17	10

end0.0ms

sample1.9s

Algorithm

intervals

Results

788.0ms	26697×	body	80	nan
304.0ms	9079×	body	80	valid