Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	60×	body	640	valid
3.0ms	130×	body	80	valid
3.0ms	46×	body	320	valid
1.0ms	20×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize6.0ms

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)))

rewrite64.0ms

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-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ 1.0 (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
50.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series228.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1.0 (+ x 1.0))
32.0ms	(/ 1.0 (- x 1.0))
171.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.5s

Counts

111 → 111

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	175	1402
1	388	1325
2	940	1257
3	2308	1255
done	5001	1254

prune200.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
3.2b	(- (- x 1.0) (+ x 1.0))

rewrite30.0ms

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×	`add-exp-log` `flip3--` `associate-/r*` `frac-sub` `add-cbrt-cube` `flip--`
3×	`associate-/l*`
2×	`pow1` `sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`
1×	`cbrt-undiv` `associate--l-` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r+`

Counts

2 → 61

Calls

2 calls:

5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
23.0ms	(- (- x 1.0) (+ x 1.0))

series58.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify640.0ms

Counts

67 → 67

Iterations

Useful iterations: done (637.0ms)

Iter	Nodes	Cost
0	151	1007
1	384	960
2	1412	888
done	5002	880

prune137.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 2.0 (pow x 4)) (/ 2.0 (pow x 2)))
0.1b	(/ 2.0 (pow x 4))
0.3b	(/ 2.0 (pow x 6))
0.5b	(/ 2.0 (pow x 2))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac`
63×	`*-un-lft-identity`
55×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`unpow-prod-down`
22×	`associate-/r*`
19×	`add-exp-log`
12×	`sqr-pow`
10×	`add-cbrt-cube`
9×	`div-exp` `associate-/l*`
6×	`add-log-exp`
5×	`div-inv` `distribute-lft-out`
4×	`pow1` `unpow2`
3×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+`

Counts

4 → 156

Calls

4 calls:

46.0ms	(+ (/ 2.0 (pow x 4)) (/ 2.0 (pow x 2)))
4.0ms	(/ 2.0 (pow x 4))
3.0ms	(/ 2.0 (pow x 6))
4.0ms	(/ 2.0 (pow x 2))

series205.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (/ 2.0 (pow x 4)) (/ 2.0 (pow x 2)))
41.0ms	(/ 2.0 (pow x 4))
49.0ms	(/ 2.0 (pow x 6))
24.0ms	(/ 2.0 (pow x 2))

simplify1.5s

Counts

168 → 168

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	249	1885
1	475	1705
2	1264	1550
done	5001	1531

prune403.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 2.0 (pow x 4)) (/ (/ 2.0 x) x))
0.1b	(/ 2.0 (pow x 4))
0.1b	(/ (/ 2.0 x) x)
0.3b	(/ 2.0 (pow x 6))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
84×	`*-un-lft-identity`
78×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down`
19×	`add-exp-log` `associate-/l*`
17×	`associate-/r*`
13×	`add-cbrt-cube`
9×	`div-exp`
8×	`sqr-pow`
7×	`div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`pow-to-exp` `pow-exp` `distribute-lft-out`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+` `associate-/l/`

Counts

4 → 174

Calls

4 calls:

61.0ms	(+ (/ 2.0 (pow x 4)) (/ (/ 2.0 x) x))
3.0ms	(/ 2.0 (pow x 4))
6.0ms	(/ (/ 2.0 x) x)
4.0ms	(/ 2.0 (pow x 6))

series197.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (/ 2.0 (pow x 4)) (/ (/ 2.0 x) x))
35.0ms	(/ 2.0 (pow x 4))
27.0ms	(/ (/ 2.0 x) x)
46.0ms	(/ 2.0 (pow x 6))

simplify1.2s

Counts

186 → 186

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	299	2174
1	637	2000
2	1590	1823
done	5001	1819

prune445.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 14.3b

bsearch79.0ms

Steps

Iters	Range		Point
7	1766.3470775505596	94269.73169533648	14237.069114952126
10	-5.579151754068455e+22	-2572101730117.1323	-9124183958286494.0

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	28	61
1	36	44
done	36	44

end0.0ms

sample453.0ms

Algorithm

intervals

Results

150.0ms	1907×	body	640	valid
95.0ms	4137×	body	80	valid
90.0ms	1274×	body	320	valid
28.0ms	682×	body	160	valid