Details

sample158.0ms

Algorithm

intervals

Results

41.0ms	291×	body	80	nan
40.0ms	146×	body	160	valid
35.0ms	547×	pre	80	true
15.0ms	110×	body	80	valid

simplify143.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	93
7	93
6	92
5	90
4	82
3	66
2	40
1	21
0	12

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
29.9b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite177.0ms

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:

15.0ms	(- (* b b) (* (* 3 a) c))
17.0ms	(* (* 3 a) c)
104.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
40.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series384.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (* b b) (* (* 3 a) c))
37.0ms	(* (* 3 a) c)
156.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
126.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.8s

Counts

91 → 91

Iterations

Iter	Nodes
3	6170
2	1501
1	422
0	158

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.4b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune72.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 8.4b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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:

9.0ms	(/ (* a c) b)
13.0ms	(* -3/2 (/ (* a c) b))
18.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series77.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ (* a c) b)
34.0ms	(* -3/2 (/ (* a c) b))
22.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify11.4s

Counts

90 → 90

Iterations

Iter	Nodes
3	15215
2	1842
1	363
0	126

prune813.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.3b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

145×	`times-frac`
90×	`add-sqr-sqrt`
81×	`*-un-lft-identity` `add-cube-cbrt`
49×	`add-cbrt-cube` `add-exp-log`
44×	`associate-r`
20×	`cbrt-undiv` `div-exp`
14×	`associate-/r*`
13×	`prod-exp` `cbrt-unprod`
10×	`div-inv`
5×	`pow1`
4×	`associate-/l*`
3×	`associate-l` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `associate-*r/` `associate-/r/`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 169

Calls

3 calls:

7.0ms	(/ a (/ b c))
16.0ms	(* -3/2 (/ a (/ b c)))
29.0ms	(/ (* -3/2 (/ a (/ b c))) (* 3 a))

series123.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ a (/ b c))
49.0ms	(* -3/2 (/ a (/ b c)))
27.0ms	(/ (* -3/2 (/ a (/ b c))) (* 3 a))

simplify2.0s

Counts

178 → 178

Iterations

Iter	Nodes
2	3174
1	766
0	269

prune1.5s

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 8.2b

regimes1.2s

Accuracy

47.7% (7.1b remaining)

Error of 16.2b against oracle of 9.1b and baseline of 22.7b

bsearch4.0ms

Steps

Iters	Range		Point
0	1631.2988902509258	1662.9642517872185	1647.131571019072

simplify9.0ms

Iterations

Iter	Nodes
2	35
1	35
0	25

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.7s	16536×	pre	80	true
1.1s	4483×	body	160	valid
885.0ms	8536×	body	80	nan
504.0ms	3517×	body	80	valid