Details

sample133.0ms

Algorithm

intervals

Results

32.0ms	155×	body	160	valid
30.0ms	516×	pre	80	true
25.0ms	260×	body	80	nan
15.0ms	47×	body	320	valid
6.0ms	54×	body	80	valid

simplify164.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.2b

localize24.0ms

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))
40.3b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite181.0ms

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))
20.0ms	(* (* 3 a) c)
92.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
60.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series364.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* b b) (* (* 3 a) c))
28.0ms	(* (* 3 a) c)
143.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
132.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.2s

Counts

91 → 91

Iterations

Iter	Nodes
done	2000
3	2000
2	1459
1	424
0	158

prune499.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.9b

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
done	0
0	0

prune53.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.9b

localize15.0ms

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))

rewrite53.0ms

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:

9.0ms	(/ (* a c) b)
12.0ms	(* -3/2 (/ (* a c) b))
31.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series75.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify914.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	2001
2	2001
1	382
0	126

prune476.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 4.9b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-cbrt-cube` `add-exp-log`
42×	`times-frac`
29×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
21×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
9×	`associate-/r` `associate-/l`
8×	`div-inv`
7×	`associate-r`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-*r/` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

30.0ms	(/ (* -3/2 (/ (* a c) b)) 3)
18.0ms	(/ (* a c) b)
42.0ms	(/ (/ (* -3/2 (/ (* a c) b)) 3) a)
25.0ms	(* -3/2 (/ (* a c) b))

series131.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ (* -3/2 (/ (* a c) b)) 3)
26.0ms	(/ (* a c) b)
23.0ms	(/ (/ (* -3/2 (/ (* a c) b)) 3) a)
33.0ms	(* -3/2 (/ (* a c) b))

simplify848.0ms

Counts

142 → 142

Iterations

Iter	Nodes
done	2001
2	2001
1	526
0	196

prune599.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 4.9b

regimes647.0ms

Accuracy

12.1% (6.1b remaining)

Error of 11.1b against oracle of 5.0b and baseline of 11.9b

bsearch13.0ms

Steps

Iters	Range		Point
1	0.022487330640104677	0.02349928003036842	0.02274031798767061

simplify8.0ms

Iterations

Iter	Nodes
done	33
1	33
0	24

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.3s	16258×	pre	80	true
1.2s	8258×	body	80	nan
1.2s	4806×	body	160	valid
571.0ms	1392×	body	320	valid
237.0ms	1802×	body	80	valid