Details

sample48.0ms

Algorithm

intervals

Results

10.0ms	146×	body	160	valid
10.0ms	538×	pre	80	true
9.0ms	282×	body	80	nan
4.0ms	110×	body	80	valid

simplify48.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	75	16
4	87	16
5	95	16
done	95	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.7b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-exp-log` `add-cbrt-cube`
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×	`frac-2neg` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

3.0ms	(- (* b b) (* (* 3.0 a) c))
6.0ms	(* (* 3.0 a) c)
37.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
18.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series254.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* b b) (* (* 3.0 a) c))
25.0ms	(* (* 3.0 a) c)
107.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
79.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify828.0ms

Counts

87 → 87

Iterations

Useful iterations: done (826.0ms)

Iter	Nodes	Cost
0	155	1464
1	402	1392
2	1577	1226
done	5000	1225

prune220.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.8b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune41.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.8b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `clear-num` `associate-/l`
1×	`pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 78

Calls

3 calls:

3.0ms	(/ (* a c) b)
8.0ms	(* -1.5 (/ (* a c) b))
8.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series68.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (* a c) b)
30.0ms	(* -1.5 (/ (* a c) b))
20.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify703.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (182.0ms)

Iter	Nodes	Cost
0	123	1086
1	377	1045
2	1876	761
done	5000	761

prune180.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 8.7b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log` `add-cbrt-cube`
23×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
13×	`associate-r`
10×	`times-frac`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
3×	`pow-prod-down`
2×	`associate-*r/` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-l` `clear-num` `associate-/r` `-commutative` `associate-/l/` `associate-/l*`

Counts

2 → 67

Calls

2 calls:

10.0ms	(* (* -1.5 a) (/ c b))
10.0ms	(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))

series47.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (* -1.5 a) (/ c b))
20.0ms	(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))

simplify1.0s

Counts

73 → 73

Iterations

Useful iterations: 2 (388.0ms)

Iter	Nodes	Cost
0	129	1076
1	428	1023
2	2488	711
done	5000	711

prune89.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 8.7b

regimes623.0ms

Accuracy

47.9% (7.2b remaining)

Error of 16.2b against oracle of 9.0b and baseline of 22.9b

bsearch2.0ms

Steps

Iters	Range		Point
0	896.7681778365687	913.142607664564	904.9553927505664

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	45
1	32	45
done	32	45

end0.0ms

sample1.3s

Algorithm

intervals

Results

303.0ms	16702×	pre	80	true
293.0ms	4441×	body	160	valid
270.0ms	8702×	body	80	nan
120.0ms	3559×	body	80	valid