Details

sample56.0ms

Algorithm

intervals

Results

10.0ms	111×	body	320	valid
9.0ms	531×	pre	80	true
8.0ms	275×	body	80	nan
6.0ms	97×	body	160	valid
5.0ms	19×	body	640	valid
1.0ms	29×	body	80	valid

simplify48.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	75	16
4	87	16
5	95	16
done	95	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
28.5b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite61.0ms

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:

3.0ms	(- (* b b) (* (* 3.0 a) c))
38.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms	(* (* 3.0 a) c)
12.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* b b) (* (* 3.0 a) c))
109.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms	(* (* 3.0 a) c)
81.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify899.0ms

Counts

85 → 85

Iterations

Useful iterations: done (896.0ms)

Iter	Nodes	Cost
0	154	1437
1	417	1361
2	1619	1139
done	5000	1138

prune224.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.7b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune18.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `clear-num` `associate-/l`
1×	`pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 78

Calls

3 calls:

3.0ms	(/ (* a c) b)
8.0ms	(* -1.5 (/ (* a c) b))
9.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series70.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (* a c) b)
27.0ms	(* -1.5 (/ (* a c) b))
24.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify733.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (188.0ms)

Iter	Nodes	Cost
0	123	1086
1	377	1045
2	1876	761
done	5000	761

prune162.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b	(* a (/ c b))
0.3b	(* -1.5 (* a (/ c b)))
0.4b	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
21×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
11×	`times-frac`
10×	`pow1`
6×	`associate-l`
5×	`associate-*r/`
4×	`pow-prod-down`
3×	`add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l/` `associate-/l`

Counts

3 → 83

Calls

3 calls:

7.0ms	(* a (/ c b))
10.0ms	(* -1.5 (* a (/ c b)))
13.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

series72.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* a (/ c b))
32.0ms	(* -1.5 (* a (/ c b)))
21.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

simplify1.0s

Counts

92 → 92

Iterations

Useful iterations: 2 (212.0ms)

Iter	Nodes	Cost
0	139	1118
1	419	1071
2	2053	787
done	5001	787

prune127.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.6b

regimes268.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample1.5s

Algorithm

intervals

Results

341.0ms	3625×	body	320	valid
297.0ms	16187×	pre	80	true
244.0ms	8187×	body	80	nan
190.0ms	2993×	body	160	valid
59.0ms	478×	body	640	valid
29.0ms	904×	body	80	valid