Details

sample87.0ms

Algorithm

intervals

Results

16.0ms	146×	body	160	valid
16.0ms	310×	body	80	nan
14.0ms	566×	pre	80	true
7.0ms	110×	body	80	valid

simplify133.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	111
5	111
4	102
3	78
2	44
1	24
0	14

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* c a) 4.0)))
0.3b	(- (* b b) (* (* c a) 4.0))
0.3b	(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
28.1b	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
68×	`add-cube-cbrt`
26×	`difference-of-squares`
22×	`associate-/l*`
16×	`sqrt-prod`
13×	`distribute-lft-out--`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
5×	`pow1` `div-inv`
3×	`cbrt-undiv` `associate-/r*` `flip3--` `div-exp` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `div-sub`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-/l/`

Counts

4 → 149

Calls

4 calls:

7.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
6.0ms	(- (* b b) (* (* c a) 4.0))
97.0ms	(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
51.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series423.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(sqrt (- (* b b) (* (* c a) 4.0)))
84.0ms	(- (* b b) (* (* c a) 4.0))
119.0ms	(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
93.0ms	(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.8s

Counts

161 → 161

Iterations

Iter	Nodes
done	5002
2	3057
1	692
0	280

prune1.0s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 9.4b

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

prune188.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 9.4b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
0.3b	(/ (* a c) b)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 73

Calls

2 calls:

23.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
7.0ms	(/ (* a c) b)

series49.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
23.0ms	(/ (* a c) b)

simplify1.5s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	3008
1	464
0	167

prune673.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 9.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) 2.0) a)
0.3b	(/ (* a c) b)
0.3b	(/ (* a c) b)
0.6b	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

51×	`times-frac`
48×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `add-cube-cbrt`
34×	`sqrt-prod`
30×	`add-cbrt-cube` `add-exp-log`
19×	`pow1`
12×	`swap-sqr`
11×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-r` `associate-l`
9×	`associate-/r` `associate-/l`
8×	`sqrt-pow1` `pow1/2`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-up`
4×	`sqrt-div` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg` `pow-prod-down` `pow-sqr`
1×	`pow2` `frac-times` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 156

Calls

4 calls:

97.0ms	(/ (/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) 2.0) a)
16.0ms	(/ (* a c) b)
12.0ms	(/ (* a c) b)
29.0ms	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (/ (* -2.0 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) 2.0) a)
23.0ms	(/ (* a c) b)
22.0ms	(/ (* a c) b)
85.0ms	(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))

simplify2.0s

Counts

168 → 168

Iterations

Iter	Nodes
done	5000
2	3671
1	577
0	231

prune881.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 9.2b

regimes1.0s

Accuracy

44.4% (7.7b remaining)

Error of 16.8b against oracle of 9.1b and baseline of 23.0b

bsearch46.0ms

Steps

Iters	Range		Point
2	59.54081762261222	70.62772712067056	60.5124483648276

simplify10.0ms

Iterations

Iter	Nodes
done	33
1	33
0	25

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.5s	4385×	body	160	valid
867.0ms	8838×	body	80	nan
670.0ms	16838×	pre	80	true
417.0ms	3614×	body	80	valid
0.0ms	1×	body	320	valid