Details

sample125.0ms

Algorithm

intervals

Results

33.0ms	147×	body	160	valid
31.0ms	510×	pre	80	true
26.0ms	254×	body	80	nan
11.0ms	109×	body	80	valid

simplify97.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.4b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
29.6b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite158.0ms

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:

8.0ms	(- (* b b) (* (* 3 a) c))
14.0ms	(* (* 3 a) c)
103.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
33.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series312.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* b b) (* (* 3 a) c))
21.0ms	(* (* 3 a) c)
128.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
101.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.6s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1459
1	424
0	158

prune429.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.5b

localize8.0ms

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

prune54.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.5b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

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)
23.0ms	(* -3/2 (/ (* a c) b))
23.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series89.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (* a c) b)
31.0ms	(* -3/2 (/ (* a c) b))
22.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5010
2	2261
1	382
0	126

prune440.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 8.4b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-cbrt-cube` `add-exp-log`
20×	`associate-r`
17×	`add-sqr-sqrt`
15×	`sqrt-prod`
14×	`prod-exp` `cbrt-unprod`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
10×	`times-frac`
9×	`sqrt-div`
8×	`cbrt-undiv` `div-exp`
7×	`associate-*r/`
4×	`associate-/r` `associate-l*` `pow-prod-down` `insert-posit16` `div-inv` `add-log-exp`
3×	`associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

17.0ms	(/ (* a c) b)
25.0ms	(* -3/2 (sqrt (/ (* a c) b)))
63.0ms	(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))
61.0ms	(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (* a c) b)
109.0ms	(* -3/2 (sqrt (/ (* a c) b)))
71.0ms	(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))
95.0ms	(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))

simplify1.9s

Counts

120 → 120

Iterations

Iter	Nodes
done	5194
2	2461
1	457
0	163

prune550.0ms

Pruning

32 alts after pruning (30 fresh and 2 done)

Merged error: 8.4b

regimes1.1s

Accuracy

47.8% (7.2b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.9b

bsearch36.0ms

Steps

Iters	Range		Point
2	2241.248812300401	2693.9337634355593	2297.8344311922956

simplify4.0ms

Iterations

Iter	Nodes
done	31
1	31
0	23

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.4s	16519×	pre	80	true
1.1s	4441×	body	160	valid
1.0s	8519×	body	80	nan
530.0ms	3558×	body	80	valid
0.0ms	1×	body	320	valid