Details

sample55.0ms

Algorithm

intervals

Results

12.0ms	119×	body	320	valid
9.0ms	493×	pre	80	true
8.0ms	237×	body	80	nan
6.0ms	95×	body	160	valid
2.0ms	17×	body	640	valid
1.0ms	25×	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: 53.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 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)
27.6b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite69.0ms

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))
39.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
6.0ms	(* (* 3.0 a) c)
19.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series254.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* b b) (* (* 3.0 a) c))
110.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
20.0ms	(* (* 3.0 a) c)
80.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify887.0ms

Counts

87 → 87

Iterations

Useful iterations: done (885.0ms)

Iter	Nodes	Cost
0	155	1464
1	402	1392
2	1573	1226
done	5000	1225

prune212.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.4b

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

prune19.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* 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))

series69.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* a c) b)
29.0ms	(* -1.5 (/ (* a c) b))
20.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify859.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (183.0ms)

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

prune150.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(/ 1 (* 3.0 a))
0.3b	(* -1.5 (/ (* a c) b))
0.3b	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

147×	`add-exp-log`
77×	`add-cbrt-cube`
76×	`prod-exp`
38×	`div-exp`
34×	`cbrt-unprod`
20×	`cbrt-undiv`
15×	`add-sqr-sqrt`
14×	`pow1` `associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`rec-exp` `1-exp`
5×	`pow-prod-down`
4×	`associate-r/` `associate-l` `associate-/r` `div-inv` `associate-/l*` `add-log-exp`
2×	`pow-flip` `frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `associate-*l/` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

3.0ms	(/ (* a c) b)
4.0ms	(/ 1 (* 3.0 a))
8.0ms	(* -1.5 (/ (* a c) b))
32.0ms	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* a c) b)
15.0ms	(/ 1 (* 3.0 a))
30.0ms	(* -1.5 (/ (* a c) b))
20.0ms	(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

simplify873.0ms

Counts

150 → 150

Iterations

Useful iterations: 2 (248.0ms)

Iter	Nodes	Cost
0	184	1978
1	569	1708
2	1916	1272
done	5000	1272

prune173.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 2.3b

regimes282.0ms

Accuracy

0% (3.6b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

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

378.0ms	3627×	body	320	valid
295.0ms	16113×	pre	80	true
262.0ms	8113×	body	80	nan
206.0ms	2959×	body	160	valid
68.0ms	498×	body	640	valid
31.0ms	916×	body	80	valid