Details

sample175.0ms

Algorithm

intervals

Results

93.0ms	899×	body	80	nan
22.0ms	293×	body	80	valid

simplify10.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	72	20
3	188	20
4	417	20
5	772	20
6	1496	20
7	2490	20
8	3402	20
9	4724	20
done	5000	20

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

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)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
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)))))

rewrite185.0ms

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:

53.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
17.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
88.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
22.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series670.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
109.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
252.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
158.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify2.2s

Counts

126 → 126

Iterations

Useful iterations: 2 (742.0ms)

Iter	Nodes	Cost
0	303	2615
1	823	2480
2	2960	2274
done	5002	2274

prune548.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize21.0ms

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

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

63.0ms	(* 9.0 (- a (/ 1.0 3.0)))
75.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0))))))))
22.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
33.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series591.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* 9.0 (- a (/ 1.0 3.0)))
160.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0))))))))
91.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
255.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify1.8s

Counts

116 → 116

Iterations

Useful iterations: 2 (562.0ms)

Iter	Nodes	Cost
0	271	2223
1	723	2134
2	2620	1938
done	5002	1938

prune544.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.1b	(* (- a (/ 1.0 3.0)) (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

62.0ms	(* 9.0 (- a (/ 1.0 3.0)))
12.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
26.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
210.0ms	(* (- a (/ 1.0 3.0)) (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))

series628.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* 9.0 (- a (/ 1.0 3.0)))
110.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
208.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
249.0ms	(* (- a (/ 1.0 3.0)) (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))

simplify1.4s

Counts

113 → 113

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	268	1952
1	670	1878
2	2197	1666
done	5001	1647

prune472.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand)
0.8b	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))
7.1b	(* (- a (/ 1.0 3.0)) (* 1.0 (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))))

rewrite507.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 171

Calls

4 calls:

18.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
18.0ms	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand)
31.0ms	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))
424.0ms	(* (- a (/ 1.0 3.0)) (* 1.0 (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))))

series820.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
216.0ms	(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand)
261.0ms	(/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))
240.0ms	(* (- a (/ 1.0 3.0)) (* 1.0 (/ 1 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))))

simplify1.7s

Counts

183 → 183

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	398	3998
1	973	3583
2	2855	3162
done	5001	3138

prune531.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	16	26
done	16	26

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.9s	27268×	body	80	nan
952.0ms	9112×	body	80	valid