Details

sample171.0ms

Algorithm

intervals

Results

60.0ms	152×	body	160	valid
32.0ms	507×	pre	80	true
30.0ms	251×	body	80	nan
17.0ms	46×	body	320	valid
8.0ms	58×	body	80	valid

simplify111.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
37.8b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite189.0ms

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:

14.0ms	(- (* b b) (* (* 3 a) c))
28.0ms	(* (* 3 a) c)
85.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
59.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series409.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* b b) (* (* 3 a) c))
37.0ms	(* (* 3 a) c)
160.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
134.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify4.4s

Counts

91 → 91

Iterations

Iter	Nodes
3	6088
2	1502
1	424
0	158

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.4b

localize9.0ms

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

prune49.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.4b

localize30.0ms

Local error

Found 3 expressions with local error:

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

16.0ms	(/ (* a c) b)
12.0ms	(* -3/2 (/ (* a c) b))
28.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series96.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (* a c) b)
45.0ms	(* -3/2 (/ (* a c) b))
24.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify10.5s

Counts

90 → 90

Iterations

Iter	Nodes
3	14826
2	1821
1	365
0	126

prune852.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.3b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

8.0ms	(* b (/ 3 c))
8.0ms	(/ -3/2 (* b (/ 3 c)))

series41.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* b (/ 3 c))
18.0ms	(/ -3/2 (* b (/ 3 c)))

simplify981.0ms

Counts

64 → 64

Iterations

Iter	Nodes
3	3107
2	800
1	264
0	110

prune476.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.3b

regimes602.0ms

Accuracy

14% (5.9b remaining)

Error of 11.1b against oracle of 5.2b and baseline of 12.1b

bsearch54.0ms

Steps

Iters	Range		Point
4	0.00010886673467661228	0.0001592897378349751	0.00010986090000445213

simplify6.0ms

Iterations

Iter	Nodes
2	35
1	35
0	25

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.4s	16225×	pre	80	true
1.3s	4824×	body	160	valid
1.1s	8225×	body	80	nan
522.0ms	1361×	body	320	valid
294.0ms	1815×	body	80	valid