Details

sample116.0ms

Algorithm

intervals

Results

34.0ms	144×	body	160	valid
20.0ms	552×	pre	80	true
18.0ms	296×	body	80	nan
11.0ms	55×	body	320	valid
4.0ms	57×	body	80	valid

simplify106.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* 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)
37.3b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 152

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
102.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
34.0ms	(* (* 3.0 a) c)
62.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series380.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* b b) (* (* 3.0 a) c))
164.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
26.0ms	(* (* 3.0 a) c)
114.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.7s

Counts

164 → 164

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	287	3955
1	689	3815
2	2092	3647
done	5000	3641

prune651.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.0b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune33.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
0.3b	(/ (* -1.5 (/ (* a c) b)) 3.0)
0.3b	(* -1.5 (/ (* a c) b))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log` `add-cbrt-cube`
42×	`times-frac`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
21×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
9×	`associate-/r` `associate-/l`
8×	`div-inv`
7×	`associate-r`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

12.0ms	(/ (* a c) b)
36.0ms	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
21.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
26.0ms	(* -1.5 (/ (* a c) b))

series168.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* a c) b)
40.0ms	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
34.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
52.0ms	(* -1.5 (/ (* a c) b))

simplify1.0s

Counts

138 → 138

Iterations

Useful iterations: 2 (331.0ms)

Iter	Nodes	Cost
0	192	1856
1	482	1786
2	1822	1478
done	5001	1478

prune403.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 4.9b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log` `add-cbrt-cube`
46×	`times-frac`
36×	`add-sqr-sqrt`
31×	`add-cube-cbrt` `*-un-lft-identity`
17×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`pow1`
8×	`associate-/l*`
7×	`div-inv`
6×	`associate-l` `associate-/r*`
5×	`associate-*r/`
4×	`pow-prod-down` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

19.0ms	(* a (/ c b))
50.0ms	(/ (/ (* -1.5 (* a (/ c b))) 3.0) a)
45.0ms	(/ (* -1.5 (* a (/ c b))) 3.0)
34.0ms	(* -1.5 (* a (/ c b)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* a (/ c b))
34.0ms	(/ (/ (* -1.5 (* a (/ c b))) 3.0) a)
47.0ms	(/ (* -1.5 (* a (/ c b))) 3.0)
41.0ms	(* -1.5 (* a (/ c b)))

simplify1.1s

Counts

143 → 143

Iterations

Useful iterations: 2 (414.0ms)

Iter	Nodes	Cost
0	205	1888
1	517	1812
2	2015	1504
done	5000	1504

prune442.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 4.9b

regimes380.0ms

Accuracy

0% (7.0b remaining)

Error of 12.1b against oracle of 5.1b and baseline of 12.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	4824×	body	160	valid
740.0ms	16129×	pre	80	true
608.0ms	8129×	body	80	nan
372.0ms	1379×	body	320	valid
213.0ms	1797×	body	80	valid