Details

sample151.0ms

Algorithm

intervals

Results

34.0ms	49×	body	320	valid
27.0ms	148×	body	160	valid
25.0ms	306×	body	80	nan
20.0ms	562×	pre	80	true
5.0ms	59×	body	80	valid

simplify447.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	94
7	94
6	93
5	91
4	83
3	68
2	39
1	21
0	12

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.8b

localize113.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
37.9b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite437.0ms

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:

17.0ms	(- (* b b) (* (* 3.0 a) c))
62.0ms	(* (* 3.0 a) c)
258.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
95.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series469.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (* b b) (* (* 3.0 a) c))
26.0ms	(* (* 3.0 a) c)
218.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
130.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify3.6s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1437
1	418
0	159

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.8b

localize34.0ms

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

prune247.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.8b

localize73.0ms

Local error

Found 3 expressions with local error:

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

rewrite164.0ms

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:

39.0ms	(* -1.5 (/ (* a c) b))
47.0ms	(/ (* a c) b)
66.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series152.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* -1.5 (/ (* a c) b))
50.0ms	(/ (* a c) b)
34.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify4.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	2218
1	389
0	126

prune1.4s

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 4.7b

localize94.0ms

Local error

Found 3 expressions with local error:

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

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
21×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
6×	`associate-l`
5×	`associate-*r/`
4×	`pow-prod-down`
3×	`insert-posit16` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l` `associate-/l/`

Counts

3 → 86

Calls

3 calls:

91.0ms	(* -1.5 (* a (/ c b)))
58.0ms	(* a (/ c b))
87.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

series147.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* -1.5 (* a (/ c b)))
31.0ms	(* a (/ c b))
55.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

simplify4.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	5017
2	2202
1	402
0	142

prune833.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 4.7b

regimes2.5s

Accuracy

7.4% (6.3b remaining)

Error of 11.5b against oracle of 5.1b and baseline of 12.0b

bsearch38.0ms

Steps

Iters	Range		Point
3	0.22538239365787033	0.2970756725892088	0.2283921088226662

simplify20.0ms

Iterations

Iter	Nodes
done	33
1	33
0	24

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.2s	8382×	body	80	nan
1.1s	4831×	body	160	valid
801.0ms	16382×	pre	80	true
432.0ms	1395×	body	320	valid
296.0ms	1774×	body	80	valid