Details

sample157.0ms

Algorithm

intervals

Results

36.0ms	154×	body	160	valid
27.0ms	256×	body	80	nan
27.0ms	512×	pre	80	true
15.0ms	50×	body	320	valid
6.0ms	52×	body	80	valid

simplify99.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
40.0b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite154.0ms

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:

7.0ms	(- (* b b) (* (* 3 a) c))
15.0ms	(* (* 3 a) c)
78.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
52.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series414.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (* b b) (* (* 3 a) c))
21.0ms	(* (* 3 a) c)
176.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
146.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1459
1	424
0	158

prune503.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.9b

localize12.0ms

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

prune67.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 3.9b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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:

18.0ms	(* -3/2 (/ (* a c) b))
9.0ms	(/ (* a c) b)
17.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series77.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* -3/2 (/ (* a c) b))
21.0ms	(/ (* a c) b)
21.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5026
2	2300
1	382
0	126

prune460.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 3.8b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

16.0ms	(/ (* -3/2 (* a c)) b)
13.0ms	(* -3/2 (* a c))
25.0ms	(/ (/ (* -3/2 (* a c)) b) (* 3 a))

series106.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (* -3/2 (* a c)) b)
25.0ms	(* -3/2 (* a c))
38.0ms	(/ (/ (* -3/2 (* a c)) b) (* 3 a))

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5020
2	1687
1	382
0	138

prune276.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 3.8b

regimes690.0ms

Accuracy

11.2% (5.9b remaining)

Error of 11.1b against oracle of 5.1b and baseline of 11.8b

bsearch87.0ms

Steps

Iters	Range		Point
5	1.5870254657342646e-05	4.458333025154689e-05	1.6209007775013438e-05

simplify9.0ms

Iterations

Iter	Nodes
done	31
1	31
0	23

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.5s	8106×	body	80	nan
1.4s	4870×	body	160	valid
1.2s	16106×	pre	80	true
642.0ms	1380×	body	320	valid
246.0ms	1750×	body	80	valid