Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	44×	body	320	valid
7.0ms	64×	body	640	valid
4.0ms	131×	body	80	valid
1.0ms	17×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
3.6b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
55×	`times-frac`
50×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
10×	`distribute-lft-out`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

9.0ms	(/ 1.0 (- x 1.0))
9.0ms	(/ 1.0 (+ x 1.0))
82.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series313.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1.0 (- x 1.0))
42.0ms	(/ 1.0 (+ x 1.0))
238.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify929.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	5002
2	1586
1	410
0	175

prune408.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize30.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.9b	(- (- x 1.0) (+ x 1.0))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
14×	`add-log-exp`
13×	`add-sqr-sqrt`
12×	`times-frac`
11×	`add-cube-cbrt`
6×	`diff-log` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`associate-/r*` `flip3--` `add-cbrt-cube` `add-exp-log` `frac-sub` `flip--`
3×	`associate-/l*`
2×	`pow1` `sum-log` `sub-neg` `flip3-+` `associate--l+` `associate-/r/` `flip-+` `distribute-lft-out`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate--r+`

Counts

2 → 61

Calls

2 calls:

18.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
78.0ms	(- (- x 1.0) (+ x 1.0))

series75.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
9.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.5s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	2326
1	419
0	151

prune291.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.2b	(/ 2.0 (* (* x x) (* (* x x) (* x x))))
0.3b	(/ 2.0 (* (* x x) (* x x)))
0.5b	(/ 2.0 (* x x))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

115×	`pow1`
92×	`add-cbrt-cube` `add-exp-log`
48×	`prod-exp` `cbrt-unprod`
36×	`pow-prod-up`
23×	`pow-prod-down`
22×	`pow-sqr`
18×	`cbrt-undiv` `pow-plus` `div-exp`
13×	`pow2`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `associate-/l*`
4×	`add-log-exp`
3×	`clear-num` `associate-/r*` `frac-2neg` `div-inv`
1×	`swap-sqr` `associate-r` `associate-l` `*-commutative` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

38.0ms	(* (* x x) (* x x))
164.0ms	(/ 2.0 (* (* x x) (* (* x x) (* x x))))
40.0ms	(/ 2.0 (* (* x x) (* x x)))
12.0ms	(/ 2.0 (* x x))

series236.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* x x) (* x x))
72.0ms	(/ 2.0 (* (* x x) (* (* x x) (* x x))))
59.0ms	(/ 2.0 (* (* x x) (* x x)))
44.0ms	(/ 2.0 (* x x))

simplify3.7s

Counts

162 → 162

Iterations

Iter	Nodes
done	5001
2	4513
1	586
0	166

prune444.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
0.2b	(/ 2.0 (* (* x x) (* (* x x) (* x x))))
0.3b	(/ 2.0 (* (* x x) (* x x)))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

226×	`pow1`
99×	`add-cbrt-cube` `add-exp-log`
72×	`pow-prod-up`
55×	`prod-exp` `cbrt-unprod`
46×	`pow-prod-down`
44×	`pow-sqr`
36×	`pow-plus`
26×	`pow2`
16×	`cbrt-undiv` `div-exp`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`times-frac` `associate-/l*`
4×	`add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `swap-sqr` `associate-r` `associate-l` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 192

Calls

4 calls:

37.0ms	(* (* x x) (* x x))
25.0ms	(* (* x x) (* x x))
153.0ms	(/ 2.0 (* (* x x) (* (* x x) (* x x))))
41.0ms	(/ 2.0 (* (* x x) (* x x)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* x x) (* x x))
49.0ms	(* (* x x) (* x x))
60.0ms	(/ 2.0 (* (* x x) (* (* x x) (* x x))))
61.0ms	(/ 2.0 (* (* x x) (* x x)))

simplify3.8s

Counts

204 → 204

Iterations

Iter	Nodes
done	5002
2	4588
1	516
0	144

prune405.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 14.1b

bsearch153.0ms

Steps

Iters	Range		Point
9	9645967.64350026	1397493302199.9514	41603129.676424146
10	-4.643120335455996e+24	-1042451393952883.1	-9003244184241789.0

simplify13.0ms

Iterations

Iter	Nodes
done	48
4	48
3	47
2	44
1	37
0	26

end0.0ms

sample1.1s

Algorithm

intervals

Results

338.0ms	1860×	body	640	valid
338.0ms	4204×	body	80	valid
199.0ms	1291×	body	320	valid
51.0ms	645×	body	160	valid