Details

sample49.0ms

Algorithm

intervals

Results

10.0ms	157×	body	160	valid
9.0ms	506×	pre	80	true
7.0ms	250×	body	80	nan
5.0ms	52×	body	320	valid
2.0ms	47×	body	80	valid

simplify52.0ms

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: 46.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
40.3b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 73

Calls

4 calls:

3.0ms	(- (* b b) (* (* 3.0 a) c))
7.0ms	(* (* 3.0 a) c)
36.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
14.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* b b) (* (* 3.0 a) c))
24.0ms	(* (* 3.0 a) c)
108.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
81.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify852.0ms

Counts

85 → 85

Iterations

Useful iterations: done (849.0ms)

Iter	Nodes	Cost
0	154	1437
1	417	1361
2	1615	1139
done	5001	1138

prune227.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.9b

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

prune25.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.9b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:

12.0ms	(* -1.5 (/ (* a c) b))
3.0ms	(/ (* a c) b)
8.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series66.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* -1.5 (/ (* a c) b))
19.0ms	(/ (* a c) b)
20.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify746.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (191.0ms)

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

prune166.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 4.9b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

8.0ms	(* -1.5 (/ (* a c) b))
3.0ms	(/ (* a c) b)
20.0ms	(/ (* 1 (* -1.5 (/ (* a c) b))) (* 3.0 a))

series72.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* -1.5 (/ (* a c) b))
19.0ms	(/ (* a c) b)
26.0ms	(/ (* 1 (* -1.5 (/ (* a c) b))) (* 3.0 a))

simplify1.1s

Counts

99 → 99

Iterations

Useful iterations: 2 (301.0ms)

Iter	Nodes	Cost
0	155	1437
1	500	1251
2	2243	911
done	5001	911

prune116.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 4.9b

regimes302.0ms

Accuracy

13.5% (6.0b remaining)

Error of 11.1b against oracle of 5.1b and baseline of 12.0b

bsearch14.0ms

Steps

Iters	Range		Point
2	0.00025188901510240987	0.00029118470560064225	0.0002568009764146889

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	40
1	26	40
done	26	40

end0.0ms

sample1.4s

Algorithm

intervals

Results

314.0ms	4807×	body	160	valid
290.0ms	16374×	pre	80	true
256.0ms	8374×	body	80	nan
139.0ms	1408×	body	320	valid
58.0ms	1785×	body	80	valid