Details

sample47.0ms

Algorithm

intervals

Results

10.0ms	514×	pre	80	true
9.0ms	143×	body	160	valid
8.0ms	258×	body	80	nan
4.0ms	113×	body	80	valid

simplify52.0ms

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: 27.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
27.7b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite68.0ms

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:

6.0ms	(* (* 3.0 a) c)
3.0ms	(- (* b b) (* (* 3.0 a) c))
39.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
18.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series252.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
47.0ms	(- (* b b) (* (* 3.0 a) c))
105.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
80.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify988.0ms

Counts

87 → 87

Iterations

Useful iterations: done (985.0ms)

Iter	Nodes	Cost
0	155	1464
1	402	1392
2	1580	1226
done	5001	1225

prune214.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.8b

localize4.0ms

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

prune35.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.8b

localize9.0ms

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))

series71.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (* a c) b)
28.0ms	(* -1.5 (/ (* a c) b))
20.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.0s

Counts

87 → 87

Iterations

Useful iterations: 2 (187.0ms)

Iter	Nodes	Cost
0	123	1086
1	377	1045
2	1938	761
done	5000	761

prune173.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 8.6b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
24×	`prod-exp` `cbrt-unprod`
13×	`pow1`
9×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`add-log-exp`
2×	`*-commutative`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

3 → 67

Calls

3 calls:

12.0ms	(/ (* -1.5 (* a c)) (* (* 3.0 a) b))
7.0ms	(* (* 3.0 a) b)
6.0ms	(* -1.5 (* a c))

series64.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (* -1.5 (* a c)) (* (* 3.0 a) b))
23.0ms	(* (* 3.0 a) b)
21.0ms	(* -1.5 (* a c))

simplify1.5s

Counts

76 → 76

Iterations

Useful iterations: 2 (272.0ms)

Iter	Nodes	Cost
0	107	954
1	352	919
2	2409	639
done	5000	639

prune86.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.6b

regimes542.0ms

Accuracy

37.4% (8.3b remaining)

Error of 17.4b against oracle of 9.1b and baseline of 22.3b

bsearch22.0ms

Steps

Iters	Range		Point
0	4947.217786474198	5174.453079191142	5060.8354328326695
1	496.22568619109217	534.3448668414316	520.8714932266197
2	19.91577405755974	23.2074174531597	20.327229482009734

simplify6.0ms

Iterations

Useful iterations: done (5.0ms)

Iter	Nodes	Cost
0	27	82
1	34	78
2	37	49
3	40	49
done	40	48

end0.0ms

sample1.4s

Algorithm

intervals

Results

309.0ms	16441×	pre	80	true
301.0ms	4542×	body	160	valid
273.0ms	8441×	body	80	nan
117.0ms	3458×	body	80	valid