Details

sample153.0ms

Algorithm

intervals

Results

46.0ms	255×	body	80	nan
37.0ms	141×	body	160	valid
30.0ms	511×	pre	80	true
15.0ms	115×	body	80	valid

simplify105.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	98
7	98
6	97
5	95
4	87
3	70
2	43
1	24
0	14

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* c a) 4)))
0.2b	(- (* b b) (* (* c a) 4))
0.3b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
28.6b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
10×	`difference-of-squares`
8×	`sqrt-prod` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`flip3--` `insert-posit16` `flip--`
3×	`associate-/r*`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

12.0ms	(sqrt (- (* b b) (* (* c a) 4)))
11.0ms	(- (* b b) (* (* c a) 4))
96.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
44.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series428.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(sqrt (- (* b b) (* (* c a) 4)))
72.0ms	(- (* b b) (* (* c a) 4))
128.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
120.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify883.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	2005
3	2005
2	1103
1	400
0	161

prune394.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.8b

localize17.0ms

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

prune69.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.8b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
8×	`cbrt-undiv` `div-exp`
6×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
5×	`prod-exp` `cbrt-unprod`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 49

Calls

2 calls:

16.0ms	(/ (* -2 (/ (* a c) b)) a)
9.0ms	(/ (* a c) b)

series50.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (* -2 (/ (* a c) b)) a)
24.0ms	(/ (* a c) b)

simplify1.0s

Counts

55 → 55

Iterations

Iter	Nodes
done	2083
3	2083
2	1429
1	278
0	99

prune385.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 8.7b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
25×	`add-cbrt-cube` `add-exp-log`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`cbrt-undiv` `div-exp`
8×	`associate-/l*`
6×	`associate-/r*` `prod-exp` `cbrt-unprod` `div-inv`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 75

Calls

2 calls:

22.0ms	(/ (/ (* -2 (* c a)) b) a)
18.0ms	(/ (* -2 (* c a)) b)

series63.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (/ (* -2 (* c a)) b) a)
37.0ms	(/ (* -2 (* c a)) b)

simplify1.1s

Counts

81 → 81

Iterations

Iter	Nodes
done	2215
3	2215
2	1459
1	367
0	140

prune433.0ms

Pruning

30 alts after pruning (28 fresh and 2 done)

Merged error: 8.7b

regimes763.0ms

Accuracy

46.3% (7.3b remaining)

Error of 16.2b against oracle of 8.9b and baseline of 22.4b

bsearch71.0ms

Steps

Iters	Range		Point
4	750.6626388256738	1053.120020302738	759.6594316796017

simplify4.0ms

Iterations

Iter	Nodes
done	26
1	26
0	22

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.3s	4485×	body	160	valid
1.2s	8472×	body	80	nan
1.2s	16472×	pre	80	true
507.0ms	3515×	body	80	valid