Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	187×	body	80	valid
6.0ms	38×	body	640	valid
2.0ms	9×	body	1280	valid
2.0ms	13×	body	320	valid
1.0ms	9×	body	160	valid

simplify782.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1686
5	419
4	152
3	74
2	35
1	16
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ 1.0 y))
0.0b	(* (- 1.0 x) (/ y (+ 1.0 y)))
3.1b	(- 1.0 (* (- 1.0 x) (/ y (+ 1.0 y))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 88

Calls

3 calls:

14.0ms	(/ y (+ 1.0 y))
44.0ms	(* (- 1.0 x) (/ y (+ 1.0 y)))
6.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ 1.0 y))))

series199.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ y (+ 1.0 y))
54.0ms	(* (- 1.0 x) (/ y (+ 1.0 y)))
92.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ 1.0 y))))

simplify1.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	2479
1	424
0	157

prune331.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 1.0 y) x)
0.0b	(- (+ (/ 1.0 y) x) (* (/ x y) 1.0))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `sum-log` `flip3-+` `add-cbrt-cube` `diff-log` `associate-*l/` `add-exp-log` `frac-sub` `add-cube-cbrt` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

19.0ms	(+ (/ 1.0 y) x)
96.0ms	(- (+ (/ 1.0 y) x) (* (/ x y) 1.0))

series73.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (/ 1.0 y) x)
34.0ms	(- (+ (/ 1.0 y) x) (* (/ x y) 1.0))

simplify447.0ms

Counts

34 → 34

Iterations

Iter	Nodes
done	5000
2	956
1	182
0	65

prune121.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- 1.0 x) (/ (+ 1.0 y) y))
0.1b	(pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3)
3.1b	(- (pow 1.0 3) (pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3))
13.1b	(/ (- (pow 1.0 3) (pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3)) (+ (* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (+ (/ (- 1.0 x) (/ (+ 1.0 y) y)) 1.0)) (* 1.0 1.0)))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

708×	`add-sqr-sqrt`
675×	`times-frac`
474×	`*-un-lft-identity`
230×	`add-cube-cbrt`
209×	`difference-of-squares`
205×	`unpow-prod-down` `cube-prod`
74×	`distribute-lft-out--`
61×	`sqr-pow`
48×	`distribute-lft-out`
46×	`associate-/l*`
20×	`div-inv`
19×	`associate-/r*`
17×	`add-cbrt-cube` `add-exp-log`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
5×	`pow1` `difference-cubes` `associate-/r/`
4×	`associate-/l/`
3×	`pow-unpow` `flip3--` `pow-exp` `flip--` `rem-cube-cbrt`
2×	`clear-num` `frac-2neg` `div-sub`
1×	`cube-div` `cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `flip3-+` `diff-log` `unpow3` `flip-+`

Counts

4 → 545

Calls

4 calls:

22.0ms	(/ (- 1.0 x) (/ (+ 1.0 y) y))
27.0ms	(pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3)
183.0ms	(- (pow 1.0 3) (pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3))
747.0ms	(/ (- (pow 1.0 3) (pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3)) (+ (* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (+ (/ (- 1.0 x) (/ (+ 1.0 y) y)) 1.0)) (* 1.0 1.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (- 1.0 x) (/ (+ 1.0 y) y))
82.0ms	(pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3)
216.0ms	(- (pow 1.0 3) (pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3))
710.0ms	(/ (- (pow 1.0 3) (pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3)) (+ (* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (+ (/ (- 1.0 x) (/ (+ 1.0 y) y)) 1.0)) (* 1.0 1.0)))

simplify927.0ms

Counts

557 → 557

Iterations

Iter	Nodes
done	5000
1	2420
0	580

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize102.0ms

Local error

Found 4 expressions with local error:

1.7b	(log (pow (exp (/ (- 1.0 x) (+ y 1.0))) y))
2.8b	(pow (exp (/ (- 1.0 x) (+ y 1.0))) y)
3.1b	(- (pow 1.0 3) (pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3))
13.0b	(/ (- (pow 1.0 3) (pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3)) (+ (* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (+ (log (pow (exp (/ (- 1.0 x) (+ y 1.0))) y)) 1.0)) (* 1.0 1.0)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

452×	`add-sqr-sqrt`
263×	`times-frac`
164×	`difference-of-squares`
132×	`*-un-lft-identity`
126×	`unpow-prod-down`
120×	`cube-prod`
64×	`add-cube-cbrt`
62×	`sqr-pow`
41×	`associate-/l*`
29×	`distribute-lft-out--`
27×	`pow-pow`
26×	`exp-prod`
7×	`log-prod` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`pow1` `difference-cubes` `distribute-lft-out`
4×	`associate-/r/`
3×	`pow-unpow` `associate-/r*` `rem-log-exp`
2×	`pow-to-exp` `flip3-+` `flip3--` `pow-exp` `flip-+` `div-inv` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `log-pow`

Counts

4 → 295

Calls

4 calls:

32.0ms	(log (pow (exp (/ (- 1.0 x) (+ y 1.0))) y))
62.0ms	(pow (exp (/ (- 1.0 x) (+ y 1.0))) y)
240.0ms	(- (pow 1.0 3) (pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3))
722.0ms	(/ (- (pow 1.0 3) (pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3)) (+ (* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (+ (log (pow (exp (/ (- 1.0 x) (+ y 1.0))) y)) 1.0)) (* 1.0 1.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

105.0ms	(log (pow (exp (/ (- 1.0 x) (+ y 1.0))) y))
107.0ms	(pow (exp (/ (- 1.0 x) (+ y 1.0))) y)
233.0ms	(- (pow 1.0 3) (pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3))
904.0ms	(/ (- (pow 1.0 3) (pow (/ (- 1.0 x) (/ (+ 1.0 y) y)) 3)) (+ (* (/ (- 1.0 x) (/ (+ 1.0 y) y)) (+ (log (pow (exp (/ (- 1.0 x) (+ y 1.0))) y)) 1.0)) (* 1.0 1.0)))

simplify1.6s

Counts

307 → 307

Iterations

Iter	Nodes
done	5000
2	4548
1	1130
0	441

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes211.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.0b

bsearch113.0ms

Steps

Iters	Range		Point
9	27544.66998078673	1397493302199.9514	194765081.475544
11	-33326255562.233612	-1.7653271249463014e-22	-162929032.46160704

simplify4.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample1.4s

Algorithm

intervals

Results

748.0ms	6148×	body	80	valid
133.0ms	683×	body	640	valid
100.0ms	501×	body	320	valid
74.0ms	381×	body	1280	valid
22.0ms	287×	body	160	valid