Details

sample63.0ms

Algorithm

intervals

Results

12.0ms	147×	body	160	valid
12.0ms	293×	body	80	nan
11.0ms	549×	pre	80	true
5.0ms	109×	body	80	valid

simplify168.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	12	324
1	21	324
2	39	284
3	68	284
4	83	284
5	91	284
6	93	284
7	94	284
done	94	284

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.4b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.1b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
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×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

7.0ms	(- (* b b) (* (* 3.0 a) c))
17.0ms	(* (* 3.0 a) c)
120.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
50.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series401.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (* b b) (* (* 3.0 a) c))
33.0ms	(* (* 3.0 a) c)
179.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
106.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.1s

Counts

87 → 87

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	155	27211
1	419	24783
2	1454	24223
done	5001	24143

prune687.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.6b

localize11.0ms

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

prune167.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 8.6b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

9.0ms	(/ (* a c) b)
16.0ms	(* -1.5 (/ (* a c) b))
24.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series81.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ (* a c) b)
32.0ms	(* -1.5 (/ (* a c) b))
26.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify2.0s

Counts

87 → 87

Iterations

Useful iterations: 2 (699.0ms)

Iter	Nodes	Cost
0	123	20751
1	371	18347
2	2219	17947
done	5010	17947

prune663.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 8.6b

localize32.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* -1.5 (* a c)) b)
0.3b	(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))
0.4b	(* -1.5 (* a c))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

20.0ms	(/ (* -1.5 (* a c)) b)
32.0ms	(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))
26.0ms	(* -1.5 (* a c))

series104.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (* -1.5 (* a c)) b)
30.0ms	(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))
27.0ms	(* -1.5 (* a c))

simplify1.6s

Counts

92 → 92

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	135	23039
1	374	20676
2	1755	19835
done	5061	19515

prune423.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 8.5b

regimes1.6s

Accuracy

45% (7.6b remaining)

Error of 16.7b against oracle of 9.1b and baseline of 23.0b

bsearch18.0ms

Steps

Iters	Range		Point
1	243.75853537869168	263.22849486223186	247.72246339179773

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	18	536
1	21	536
done	21	536

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.1s	8296×	body	80	nan
696.0ms	4424×	body	160	valid
675.0ms	16296×	pre	80	true
297.0ms	3576×	body	80	valid