Details

sample170.0ms

Algorithm

intervals

Results

43.0ms	541×	pre	80	true
40.0ms	285×	body	80	nan
39.0ms	128×	body	160	valid
20.0ms	128×	body	80	valid

simplify119.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3 a) c)
0.3b	(- (* b b) (* (* 3 a) c))
0.4b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
27.3b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite159.0ms

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:

28.0ms	(* (* 3 a) c)
15.0ms	(- (* b b) (* (* 3 a) c))
74.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
41.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series376.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* 3 a) c)
62.0ms	(- (* b b) (* (* 3 a) c))
153.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
135.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	2037
3	2037
2	1442
1	422
0	158

prune1.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.9b

localize11.0ms

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

prune96.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.9b

localize29.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite47.0ms

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:

13.0ms	(/ (* a c) b)
13.0ms	(* -3/2 (/ (* a c) b))
18.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series98.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (* a c) b)
33.0ms	(* -3/2 (/ (* a c) b))
33.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify867.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	2001
2	2001
1	382
0	126

prune826.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 8.9b

localize9.0ms

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

prune0.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 8.9b

regimes957.0ms

Accuracy

47.3% (7.0b remaining)

Error of 16.2b against oracle of 9.2b and baseline of 22.5b

bsearch3.0ms

Steps

Iters	Range		Point
0	1072.0421178334989	1095.414553911296	1083.7283358723973

simplify5.0ms

Iterations

Iter	Nodes
done	35
1	35
0	25

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.2s	4580×	body	160	valid
1.1s	16452×	pre	80	true
999.0ms	8452×	body	80	nan
480.0ms	3419×	body	80	valid
0.0ms	1×	body	320	valid