Details

sample107.0ms

Algorithm

intervals

Results

23.0ms	299×	body	80	nan
23.0ms	141×	body	160	valid
22.0ms	555×	pre	80	true
9.0ms	115×	body	80	valid

simplify145.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	75	16
4	88	16
5	96	16
done	96	16

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.1b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 73

Calls

4 calls:

19.0ms	(- (* b b) (* (* 3.0 a) c))
36.0ms	(* (* 3.0 a) c)
109.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
43.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series363.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (* b b) (* (* 3.0 a) c))
31.0ms	(* (* 3.0 a) c)
150.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
95.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.8s

Counts

85 → 85

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	154	1437
1	410	1361
2	1547	1139
done	5000	1125

prune317.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(* 3.0 (* a c))
0.3b	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
0.3b	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 157

Calls

4 calls:

34.0ms	(* (* 3.0 a) c)
17.0ms	(* 3.0 (* a c))
137.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
119.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series601.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* 3.0 a) c)
36.0ms	(* 3.0 (* a c))
214.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
315.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify1.7s

Counts

169 → 169

Iterations

Useful iterations: 2 (678.0ms)

Iter	Nodes	Cost
0	243	4718
1	603	4240
2	2572	3862
done	5001	3862

prune665.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(* (* 3.0 a) c)
0.3b	(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
0.3b	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

27.0ms	(* (* 3.0 a) c)
20.0ms	(* (* 3.0 a) c)
112.0ms	(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
110.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series442.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* 3.0 a) c)
29.0ms	(* (* 3.0 a) c)
107.0ms	(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
284.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify1.6s

Counts

135 → 135

Iterations

Useful iterations: 2 (572.0ms)

Iter	Nodes	Cost
0	181	3191
1	499	3065
2	2700	2433
done	5000	2433

prune419.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.2b	(/ 1 (/ (/ (* 3.0 a) (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

1488×	`times-frac`
722×	`add-sqr-sqrt` `*-un-lft-identity`
478×	`add-cube-cbrt`
146×	`add-exp-log`
140×	`associate-/r*`
133×	`div-inv`
122×	`distribute-lft-out--` `difference-of-squares`
91×	`div-exp`
62×	`add-cbrt-cube`
61×	`distribute-rgt-neg-in` `sqrt-prod`
45×	`associate-/r/`
34×	`cbrt-undiv`
27×	`prod-exp`
22×	`flip3--` `flip--`
11×	`rec-exp` `1-exp` `cbrt-unprod`
10×	`pow1` `add-log-exp`
3×	`diff-log` `associate-r` `pow-prod-down` `associate-/l*`
2×	`sub-neg`
1×	`associate--l-` `neg-sub0` `pow-flip` `frac-2neg` `associate-l` `neg-log` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 668

Calls

4 calls:

26.0ms	(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
133.0ms	(/ 1 (/ (/ (* 3.0 a) (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
18.0ms	(- (* b b) (* (* 3.0 a) c))
25.0ms	(* (* 3.0 a) c)

series498.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
251.0ms	(/ 1 (/ (/ (* 3.0 a) (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
91.0ms	(- (* b b) (* (* 3.0 a) c))
26.0ms	(* (* 3.0 a) c)

simplify2.6s

Counts

680 → 680

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	980	28586
1	2172	18613
done	5001	17030

prune938.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes214.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	27
1	21	27
done	21	27

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.0s	16384×	pre	80	true
812.0ms	4511×	body	160	valid
712.0ms	8384×	body	80	nan
262.0ms	3489×	body	80	valid