Details

sample141.0ms

Algorithm

intervals

Results

36.0ms	137×	body	160	valid
32.0ms	262×	body	80	nan
31.0ms	518×	pre	80	true
15.0ms	119×	body	80	valid

simplify100.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	98
5	98
4	90
3	74
2	42
1	21
0	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.4b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
28.3b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite230.0ms

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` `insert-posit16`
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 → 79

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3 a) c))
28.0ms	(* (* 3 a) c)
125.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
68.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series374.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* b b) (* (* 3 a) c))
26.0ms	(* (* 3 a) c)
152.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
127.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1542
1	424
0	158

prune541.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.5b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune104.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 8.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite59.0ms

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` `insert-posit16` `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 → 81

Calls

3 calls:

14.0ms	(/ (* a c) b)
25.0ms	(* -3/2 (/ (* a c) b))
19.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series108.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (* a c) b)
40.0ms	(* -3/2 (/ (* a c) b))
25.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5014
2	2315
1	382
0	126

prune528.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 8.4b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ a (/ b c))
0.3b	(/ (* -2 a) (/ a (/ b c)))
0.3b	(/ 1 (/ (* -2 a) (/ a (/ b c))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

838×	`times-frac`
309×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
106×	`associate-/r*`
102×	`add-exp-log`
65×	`div-exp`
58×	`add-cbrt-cube`
35×	`div-inv`
34×	`cbrt-undiv`
13×	`associate-/r/`
12×	`prod-exp`
7×	`rec-exp` `1-exp` `associate-/l*`
6×	`cbrt-unprod`
4×	`pow1`
3×	`clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 425

Calls

3 calls:

6.0ms	(/ a (/ b c))
18.0ms	(/ (* -2 a) (/ a (/ b c)))
17.0ms	(/ 1 (/ (* -2 a) (/ a (/ b c))))

series114.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ a (/ b c))
39.0ms	(/ (* -2 a) (/ a (/ b c)))
36.0ms	(/ 1 (/ (* -2 a) (/ a (/ b c))))

simplify1.5s

Counts

434 → 434

Iterations

Iter	Nodes
done	5002
1	1877
0	645

prune1.9s

Pruning

42 alts after pruning (42 fresh and 0 done)

Merged error: 8.3b

regimes1.5s

Accuracy

47% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.7b

bsearch52.0ms

Steps

Iters	Range		Point
2	554.8853353555609	627.0778694758378	563.9094021205955

simplify12.0ms

Iterations

Iter	Nodes
done	40
1	40
0	28

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.9s	8426×	body	80	nan
1.3s	4483×	body	160	valid
1.1s	16426×	pre	80	true
503.0ms	3517×	body	80	valid