Details

sample118.0ms

Algorithm

intervals

Results

25.0ms	293×	body	80	nan
24.0ms	136×	body	160	valid
20.0ms	549×	pre	80	true
11.0ms	120×	body	80	valid

simplify139.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	98
7	98
6	97
5	95
4	87
3	72
2	42
1	24
0	14

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* c a) 4.0)))
0.2b	(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
0.3b	(- (* b b) (* (* c a) 4.0))
27.0b	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite161.0ms

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--` `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 → 84

Calls

4 calls:

10.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
84.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
6.0ms	(- (* b b) (* (* c a) 4.0))
56.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series401.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
131.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
65.0ms	(- (* b b) (* (* c a) 4.0))
100.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1185
1	391
0	158

prune969.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.4b

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

prune142.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 9.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* -2.0 (/ (* a c) b)) a)
0.2b	(/ (* a c) b)

rewrite48.0ms

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` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 47

Calls

2 calls:

28.0ms	(/ (* -2.0 (/ (* a c) b)) a)
17.0ms	(/ (* a c) b)

series53.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (* -2.0 (/ (* a c) b)) a)
25.0ms	(/ (* a c) b)

simplify1.3s

Counts

53 → 53

Iterations

Iter	Nodes
done	5022
2	1485
1	274
0	97

prune525.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 9.3b

localize25.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ (* -2.0 (* a c)) (* a b))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

30.0ms

(/ (* -2.0 (* a c)) (* a b))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ (* -2.0 (* a c)) (* a b))

simplify1.1s

Counts

28 → 28

Iterations

Iter	Nodes
done	5050
2	1286
1	215
0	67

prune108.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 9.3b

regimes955.0ms

Accuracy

46.9% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.8b

bsearch22.0ms

Steps

Iters	Range		Point
2	5947.889350432351	6490.535287589524	6015.720092576998

simplify6.0ms

Iterations

Iter	Nodes
done	37
1	37
0	28

end0.0ms

sample3.5s

Algorithm

intervals

Results

955.0ms	4454×	body	160	valid
930.0ms	16719×	pre	80	true
809.0ms	8719×	body	80	nan
288.0ms	3546×	body	80	valid