Details

sample113.0ms

Algorithm

intervals

Results

35.0ms	146×	body	160	valid
17.0ms	250×	body	80	nan
17.0ms	506×	pre	80	true
8.0ms	110×	body	80	valid

simplify97.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	76	16
4	96	16
5	104	16
done	104	16

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
0.3b	(* (* 3.0 a) c)
0.3b	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
29.5b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
147×	`add-sqr-sqrt`
113×	`*-un-lft-identity`
79×	`add-cube-cbrt`
34×	`difference-of-squares`
28×	`associate-/l*`
17×	`sqrt-prod` `distribute-lft-out--`
16×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
6×	`associate-/r*` `div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `diff-log` `associate-l` `*-commutative`

Counts

4 → 182

Calls

4 calls:

91.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
27.0ms	(* (* 3.0 a) c)
125.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
64.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series386.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
22.0ms	(* (* 3.0 a) c)
131.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
125.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.3s

Counts

194 → 194

Iterations

Useful iterations: 2 (521.0ms)

Iter	Nodes	Cost
0	287	4775
1	709	4627
2	3343	4423
done	5000	4423

prune1.0s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 8.6b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune126.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 8.6b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-cbrt-cube` `add-exp-log`
42×	`times-frac`
29×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
21×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
9×	`associate-/r` `associate-/l`
8×	`div-inv`
7×	`associate-r`
6×	`pow1`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-*r/` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

14.0ms	(/ (* a c) b)
29.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
40.0ms	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
20.0ms	(* -1.5 (/ (* a c) b))

series150.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (* a c) b)
41.0ms	(/ (* -1.5 (/ (* a c) b)) 3.0)
26.0ms	(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
47.0ms	(* -1.5 (/ (* a c) b))

simplify1.3s

Counts

138 → 138

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	192	1856
1	528	1788
2	3187	1538
done	5001	1518

prune852.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 8.5b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

169×	`add-exp-log`
97×	`add-cbrt-cube`
75×	`prod-exp`
58×	`div-exp`
45×	`times-frac`
39×	`cbrt-unprod`
31×	`cbrt-undiv`
30×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`pow1`
14×	`associate-r`
9×	`rec-exp` `1-exp` `pow-prod-down`
8×	`associate-/l*`
7×	`div-inv`
6×	`associate-/r*`
4×	`associate-l` `add-log-exp`
3×	`associate-/l/`
2×	`clear-num` `frac-2neg` `associate-r/` `un-div-inv` `-commutative`

Counts

4 → 166

Calls

4 calls:

68.0ms	(/ (* (* -1.5 (* a c)) (/ 1 b)) 3.0)
69.0ms	(/ (/ (* (* -1.5 (* a c)) (/ 1 b)) 3.0) a)
30.0ms	(* -1.5 (* a c))
52.0ms	(* (* -1.5 (* a c)) (/ 1 b))

series153.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (* (* -1.5 (* a c)) (/ 1 b)) 3.0)
24.0ms	(/ (/ (* (* -1.5 (* a c)) (/ 1 b)) 3.0) a)
39.0ms	(* -1.5 (* a c))
56.0ms	(* (* -1.5 (* a c)) (/ 1 b))

simplify439.0ms

Counts

178 → 178

Iterations

Useful iterations: done (434.0ms)

Iter	Nodes	Cost
0	249	2874
1	751	2651
done	5000	2010

prune677.0ms

Pruning

44 alts after pruning (43 fresh and 1 done)

Merged error: 8.4b

regimes1.2s

Accuracy

47.7% (7.1b remaining)

Error of 16.1b against oracle of 9.0b and baseline of 22.6b

bsearch4.0ms

Steps

Iters	Range		Point
0	313.18788541642925	317.78179210620726	315.48483876131826

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	39
1	24	39
done	24	39

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.1s	4524×	body	160	valid
665.0ms	16401×	pre	80	true
637.0ms	8401×	body	80	nan
300.0ms	3476×	body	80	valid