Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	64×	body	640	valid
4.0ms	131×	body	80	valid
3.0ms	44×	body	320	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

localize19.0ms

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)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

662×	`*-un-lft-identity`
589×	`times-frac`
496×	`add-sqr-sqrt`
378×	`prod-diff`
368×	`add-cube-cbrt`
86×	`associate-/r/`
79×	`distribute-lft-out--`
76×	`distribute-lft-out`
62×	`difference-of-squares`
44×	`div-inv`
24×	`flip-+`
23×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
9×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 504

Calls

3 calls:

9.0ms	(/ 1.0 (- x 1.0))
9.0ms	(/ 1.0 (+ x 1.0))
85.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series237.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1.0 (- x 1.0))
26.0ms	(/ 1.0 (+ x 1.0))
179.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.5s

Counts

513 → 513

Iterations

Iter	Nodes
done	5000
2	4314
1	1253
0	525

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

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))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
29×	`prod-diff`
27×	`add-cube-cbrt`
14×	`add-log-exp`
12×	`times-frac`
11×	`associate--l+` `distribute-lft-out--`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`diff-log`
5×	`fma-neg`
4×	`associate-/r*` `flip3--` `add-cbrt-cube` `add-exp-log` `frac-sub` `flip--`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `sum-log` `sub-neg` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate--r+`

Counts

2 → 99

Calls

2 calls:

10.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
53.0ms	(- (- x 1.0) (+ x 1.0))

series81.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
11.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	3298
1	551
0	196

prune405.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- 2.0) (pow x 4)) (+ (/ 2.0 (pow x 6)) (/ 2.0 (* x x))))
0.2b	(/ 2.0 (pow x 6))
0.3b	(/ (- 2.0) (pow x 4))
0.5b	(/ 2.0 (* x x))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

547×	`*-un-lft-identity`
517×	`times-frac`
404×	`add-sqr-sqrt`
394×	`add-cube-cbrt`
370×	`prod-diff`
226×	`unpow-prod-down`
157×	`div-inv`
150×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
149×	`distribute-lft-out`
76×	`sqr-pow`
74×	`fma-neg`
50×	`neg-mul-1`
19×	`add-exp-log`
16×	`associate-/l*`
15×	`associate-/r*`
13×	`add-cbrt-cube`
9×	`add-log-exp`
8×	`div-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `log1p-expm1-u` `difference-of-squares`
3×	`clear-num` `frac-2neg` `frac-sub`
2×	`neg-sub0` `pow-to-exp` `diff-log` `div-sub` `pow-exp` `distribute-lft-out--`
1×	`associate--l-` `sum-log` `sub-neg` `flip3-+` `flip3--` `frac-add` `prod-exp` `distribute-frac-neg` `cbrt-unprod` `flip-+` `flip--` `associate--r+`

Counts

4 → 645

Calls

4 calls:

186.0ms	(- (/ (- 2.0) (pow x 4)) (+ (/ 2.0 (pow x 6)) (/ 2.0 (* x x))))
12.0ms	(/ 2.0 (pow x 6))
22.0ms	(/ (- 2.0) (pow x 4))
8.0ms	(/ 2.0 (* x x))

series197.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (/ (- 2.0) (pow x 4)) (+ (/ 2.0 (pow x 6)) (/ 2.0 (* x x))))
54.0ms	(/ 2.0 (pow x 6))
47.0ms	(/ (- 2.0) (pow x 4))
27.0ms	(/ 2.0 (* x x))

simplify728.0ms

Counts

657 → 657

Iterations

Iter	Nodes
done	5000
1	1489
0	633

prune2.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- 2.0) (pow x 4)) (+ (/ 2.0 (pow x 6)) (/ (/ 2.0 x) x)))
0.1b	(/ (/ 2.0 x) x)
0.2b	(/ 2.0 (pow x 6))
0.3b	(/ (- 2.0) (pow x 4))

rewrite467.0ms

Algorithm

rewrite-expression-head

Rules

895×	`*-un-lft-identity`
743×	`times-frac`
444×	`add-sqr-sqrt`
434×	`add-cube-cbrt`
370×	`prod-diff`
226×	`unpow-prod-down`
151×	`distribute-rgt-neg-in` `distribute-lft-out`
150×	`distribute-lft-neg-in`
76×	`sqr-pow`
74×	`fma-neg`
50×	`neg-mul-1`
26×	`associate-/l*`
19×	`add-exp-log`
17×	`associate-/r*`
13×	`add-cbrt-cube` `div-inv`
9×	`div-exp` `add-log-exp`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`clear-num` `frac-2neg` `frac-sub`
2×	`neg-sub0` `pow-to-exp` `diff-log` `div-sub` `pow-exp`
1×	`associate--l-` `sum-log` `sub-neg` `flip3-+` `flip3--` `frac-add` `distribute-frac-neg` `flip-+` `flip--` `associate--r+` `associate-/l/`

Counts

4 → 696

Calls

4 calls:

370.0ms	(- (/ (- 2.0) (pow x 4)) (+ (/ 2.0 (pow x 6)) (/ (/ 2.0 x) x)))
9.0ms	(/ (/ 2.0 x) x)
7.0ms	(/ 2.0 (pow x 6))
12.0ms	(/ (- 2.0) (pow x 4))

series264.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (/ (- 2.0) (pow x 4)) (+ (/ 2.0 (pow x 6)) (/ (/ 2.0 x) x)))
29.0ms	(/ (/ 2.0 x) x)
69.0ms	(/ 2.0 (pow x 6))
62.0ms	(/ (- 2.0) (pow x 4))

simplify848.0ms

Counts

708 → 708

Iterations

Iter	Nodes
done	5000
1	1695
0	722

prune2.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

99.6% (0.1b remaining)

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

bsearch156.0ms

Steps

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

simplify28.0ms

Iterations

Iter	Nodes
done	36
1	36
0	28

end0.0ms

sample1.1s

Algorithm

intervals

Results

420.0ms	1860×	body	640	valid
212.0ms	4204×	body	80	valid
183.0ms	1291×	body	320	valid
48.0ms	645×	body	160	valid