Details

sample136.0ms

Algorithm

intervals

Results

39.0ms	547×	pre	80	true
23.0ms	112×	body	320	valid
20.0ms	291×	body	80	nan
15.0ms	107×	body	160	valid
6.0ms	21×	body	640	valid
1.0ms	16×	body	80	valid

simplify96.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	94
7	94
6	93
5	91
4	83
3	68
2	39
1	21
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 55.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.2b	(* (* 3.0 a) c)
27.2b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite185.0ms

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`
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 → 75

Calls

4 calls:

12.0ms	(- (* b b) (* (* 3.0 a) c))
101.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
31.0ms	(* (* 3.0 a) c)
38.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series378.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* b b) (* (* 3.0 a) c))
157.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
37.0ms	(* (* 3.0 a) c)
125.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.8s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1450
1	417
0	155

prune593.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize5.0ms

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

prune45.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.5b

localize31.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite75.0ms

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` `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 → 78

Calls

3 calls:

13.0ms	(/ (* a c) b)
27.0ms	(* -1.5 (/ (* a c) b))
33.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series94.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (* a c) b)
38.0ms	(* -1.5 (/ (* a c) b))
31.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.6s

Counts

87 → 87

Iterations

Iter	Nodes
done	5010
2	2219
1	371
0	123

prune523.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ b (* a c))
0.3b	(/ 1 (/ b (* a c)))
0.3b	(* -1.5 (/ 1 (/ b (* a c))))
0.4b	(/ (* -1.5 (/ 1 (/ b (* a c)))) (* 3.0 a))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

161×	`add-exp-log`
77×	`add-cbrt-cube`
72×	`div-exp`
69×	`times-frac`
54×	`prod-exp`
44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
37×	`add-cube-cbrt`
32×	`cbrt-undiv`
26×	`associate-r`
22×	`cbrt-unprod`
12×	`rec-exp` `1-exp`
11×	`div-inv`
9×	`associate-/r*`
7×	`pow1` `associate-/l*`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `unswap-sqr`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 181

Calls

4 calls:

12.0ms	(/ b (* a c))
23.0ms	(/ 1 (/ b (* a c)))
49.0ms	(* -1.5 (/ 1 (/ b (* a c))))
29.0ms	(/ (* -1.5 (/ 1 (/ b (* a c)))) (* 3.0 a))

series113.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ b (* a c))
31.0ms	(/ 1 (/ b (* a c)))
34.0ms	(* -1.5 (/ 1 (/ b (* a c))))
20.0ms	(/ (* -1.5 (/ 1 (/ b (* a c)))) (* 3.0 a))

simplify2.0s

Counts

193 → 193

Iterations

Iter	Nodes
done	5007
2	3058
1	660
0	238

prune728.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.4b

regimes674.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.4s	3593×	body	320	valid
719.0ms	16198×	pre	80	true
648.0ms	8198×	body	80	nan
388.0ms	2994×	body	160	valid
172.0ms	526×	body	640	valid
99.0ms	887×	body	80	valid