Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

327×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	17	7
3	21	7
4	23	7
5	24	7
done	24	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) 3.0)
0.3b	(/ (- (* x x) 3.0) 6.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
5×	`difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
3×	`prod-diff` `associate-/r*`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 55

Calls

2 calls:

3.0ms	(- (* x x) 3.0)
9.0ms	(/ (- (* x x) 3.0) 6.0)

series107.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* x x) 3.0)
68.0ms	(/ (- (* x x) 3.0) 6.0)

simplify3.2s

Counts

61 → 61

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	109	680
1	253	630
2	871	567
3	4982	567
done	5000	567

prune104.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) 3.0)
0.1b	(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.3b	(/ 6.0 (- (* x x) 3.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
81×	`add-sqr-sqrt`
64×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-/r*`
17×	`difference-of-squares`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `prod-diff` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `inv-pow`

Counts

3 → 152

Calls

3 calls:

3.0ms	(- (* x x) 3.0)
11.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
6.0ms	(/ 6.0 (- (* x x) 3.0))

series165.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (* x x) 3.0)
70.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
49.0ms	(/ 6.0 (- (* x x) 3.0))

simplify1.3s

Counts

161 → 161

Iterations

Useful iterations: 2 (222.0ms)

Iter	Nodes	Cost
0	258	2524
1	574	2257
2	2190	1928
done	5000	1928

prune243.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x 2) 3.0)
0.1b	(/ 1 (* 6.0 (/ 1 (- (pow x 2) 3.0))))
0.1b	(* 6.0 (/ 1 (- (pow x 2) 3.0)))
0.3b	(/ 1 (- (pow x 2) 3.0))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

103×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
53×	`times-frac`
52×	`add-exp-log`
48×	`add-cube-cbrt`
32×	`difference-of-squares`
30×	`associate-r`
24×	`prod-diff`
20×	`unpow-prod-down` `div-exp` `add-cbrt-cube`
16×	`prod-exp`
12×	`unpow2` `sqr-pow`
10×	`pow1` `rec-exp` `1-exp`
9×	`associate-/r*`
8×	`fma-neg` `distribute-lft-out--`
6×	`cbrt-undiv` `associate-/r/` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3--` `pow-flip` `associate-l` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`sub-neg` `diff-log` `*-commutative`

Counts

4 → 203

Calls

4 calls:

10.0ms	(- (pow x 2) 3.0)
20.0ms	(/ 1 (* 6.0 (/ 1 (- (pow x 2) 3.0))))
34.0ms	(* 6.0 (/ 1 (- (pow x 2) 3.0)))
12.0ms	(/ 1 (- (pow x 2) 3.0))

series202.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (pow x 2) 3.0)
62.0ms	(/ 1 (* 6.0 (/ 1 (- (pow x 2) 3.0))))
50.0ms	(* 6.0 (/ 1 (- (pow x 2) 3.0)))
48.0ms	(/ 1 (- (pow x 2) 3.0))

simplify1.9s

Counts

215 → 215

Iterations

Useful iterations: 2 (286.0ms)

Iter	Nodes	Cost
0	286	2945
1	657	2319
2	2516	1806
done	5001	1806

prune309.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (sqrt 3.0))
0.0b	(+ (sqrt 3.0) x)
0.1b	(/ (+ (sqrt 3.0) x) (/ 6.0 (- x (sqrt 3.0))))
0.7b	(/ 6.0 (- x (sqrt 3.0)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
197×	`*-un-lft-identity`
185×	`add-sqr-sqrt`
105×	`add-cube-cbrt`
40×	`difference-of-squares`
32×	`sqrt-prod`
30×	`associate-/r*`
26×	`distribute-lft-out`
20×	`distribute-lft-out--`
18×	`prod-diff`
13×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`flip3--` `flip--` `div-inv` `associate-/l*`
6×	`fma-def`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`fma-neg`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 244

Calls

4 calls:

5.0ms	(- x (sqrt 3.0))
5.0ms	(+ (sqrt 3.0) x)
26.0ms	(/ (+ (sqrt 3.0) x) (/ 6.0 (- x (sqrt 3.0))))
8.0ms	(/ 6.0 (- x (sqrt 3.0)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- x (sqrt 3.0))
34.0ms	(+ (sqrt 3.0) x)
163.0ms	(/ (+ (sqrt 3.0) x) (/ 6.0 (- x (sqrt 3.0))))
67.0ms	(/ 6.0 (- x (sqrt 3.0)))

simplify1.1s

Counts

256 → 256

Iterations

Useful iterations: 2 (239.0ms)

Iter	Nodes	Cost
0	307	4687
1	702	4205
2	3201	3825
done	5000	3825

prune390.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample287.0ms

Algorithm

intervals

Results

176.0ms

10671×

body

valid