Details

sample193.0ms

Algorithm

intervals

Results

43.0ms	154×	body	160	valid
37.0ms	277×	body	80	nan
37.0ms	533×	pre	80	true
35.0ms	46×	body	320	valid
10.0ms	56×	body	80	valid

simplify144.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	93
7	93
6	92
5	90
4	82
3	66
2	40
1	21
0	12

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
38.9b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite190.0ms

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:

7.0ms	(- (* b b) (* (* 3 a) c))
18.0ms	(* (* 3 a) c)
107.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
57.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series349.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (* b b) (* (* 3 a) c))
35.0ms	(* (* 3 a) c)
148.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
95.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.8s

Counts

91 → 91

Iterations

Iter	Nodes
3	6170
2	1501
1	422
0	158

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.0b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune48.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite60.0ms

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:

18.0ms	(/ (* a c) b)
20.0ms	(* -3/2 (/ (* a c) b))
21.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series86.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* a c) b)
32.0ms	(* -3/2 (/ (* a c) b))
33.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.2s

Counts

90 → 90

Iterations

Iter	Nodes
3	15215
2	1842
1	363
0	126

prune745.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 4.9b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
24×	`prod-exp` `cbrt-unprod`
13×	`pow1`
9×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `associate-l`
3×	`insert-posit16` `add-log-exp`
2×	`*-commutative`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

3 → 70

Calls

3 calls:

13.0ms	(* (* 3 a) b)
18.0ms	(* -3/2 (* a c))
33.0ms	(/ (* -3/2 (* a c)) (* (* 3 a) b))

series86.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* (* 3 a) b)
23.0ms	(* -3/2 (* a c))
28.0ms	(/ (* -3/2 (* a c)) (* (* 3 a) b))

simplify704.0ms

Counts

79 → 79

Iterations

Iter	Nodes
2	2416
1	331
0	110

prune521.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 4.9b

regimes665.0ms

Accuracy

12.2% (6.0b remaining)

Error of 11.0b against oracle of 5.0b and baseline of 11.9b

bsearch34.0ms

Steps

Iters	Range		Point
2	5.2737518596891653e-05	5.832957080902451e-05	5.343652512340826e-05

simplify4.0ms

Iterations

Iter	Nodes
2	25
1	25
0	20

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.4s	8306×	body	80	nan
1.1s	4838×	body	160	valid
972.0ms	16306×	pre	80	true
403.0ms	1373×	body	320	valid
202.0ms	1789×	body	80	valid