Details

sample57.0ms

Algorithm

intervals

Results

11.0ms	111×	body	320	valid
10.0ms	531×	pre	80	true
9.0ms	275×	body	80	nan
6.0ms	97×	body	160	valid
3.0ms	19×	body	640	valid
1.0ms	29×	body	80	valid

simplify45.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	76	16
4	90	16
5	98	16
done	98	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.5b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

3.0ms	(- (* b b) (* (* 3.0 a) c))
37.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
7.0ms	(* (* 3.0 a) c)
18.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series241.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* b b) (* (* 3.0 a) c))
103.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
19.0ms	(* (* 3.0 a) c)
77.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify748.0ms

Counts

87 → 87

Iterations

Useful iterations: done (746.0ms)

Iter	Nodes	Cost
0	155	1464
1	408	1392
2	1696	1226
done	5000	1225

prune212.0ms

Pruning

11 alts after pruning (11 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

prune24.0ms

Pruning

11 alts after pruning (10 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))

rewrite22.0ms

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

series67.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (* a c) b)
29.0ms	(* -1.5 (/ (* a c) b))
20.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify751.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (127.0ms)

Iter	Nodes	Cost
0	123	1086
1	388	1045
2	2299	761
done	5001	761

prune150.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.6b

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))

rewrite32.0ms

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)))
12.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

series67.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* a (/ c b))
26.0ms	(* -1.5 (* a (/ c b)))
22.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

simplify911.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (155.0ms)

Iter	Nodes	Cost
0	139	1118
1	424	1071
2	2600	787
done	5000	787

prune132.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.6b

regimes283.0ms

Accuracy

0% (3.5b 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

sample1.6s

Algorithm

intervals

Results

370.0ms	3625×	body	320	valid
309.0ms	16187×	pre	80	true
270.0ms	8187×	body	80	nan
209.0ms	2993×	body	160	valid
65.0ms	478×	body	640	valid
33.0ms	904×	body	80	valid