Details

sample101.0ms

Algorithm

intervals

Results

53.0ms	114×	body	1280	valid
21.0ms	75×	body	640	valid
7.0ms	232×	body	80	nan
4.0ms	29×	body	320	valid
3.0ms	30×	body	160	valid
0.0ms	8×	body	80	valid

simplify86.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	24	12
3	39	12
4	62	12
5	89	12
6	110	12
7	121	12
8	123	12
done	123	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.3b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

15.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (+ 1.0 x) (- 1.0 x))
125.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.2s

Counts

92 → 92

Iterations

Useful iterations: 3 (404.0ms)

Iter	Nodes	Cost
0	146	1310
1	333	1243
2	1013	1182
3	4472	1136
done	5000	1136

prune222.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune21.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
0.0b	(* x (+ 1.0 x))
7.3b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
7.3b	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

286×	`add-sqr-sqrt`
262×	`*-un-lft-identity`
200×	`times-frac`
144×	`difference-of-squares`
109×	`log-prod`
108×	`unpow-prod-down` `cube-prod`
72×	`sqr-pow`
68×	`add-cube-cbrt`
52×	`distribute-lft-out`
45×	`distribute-lft-out--`
25×	`associate-/r*`
12×	`add-exp-log`
9×	`difference-cubes`
8×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `associate-/r/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`rem-log-exp` `associate-l`
2×	`flip3--` `flip3-+` `associate-*r/` `div-exp` `log-pow` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `log-div` `frac-2neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 305

Calls

4 calls:

34.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
9.0ms	(* x (+ 1.0 x))
23.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
1.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
42.0ms	(* x (+ 1.0 x))
70.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
69.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

simplify973.0ms

Counts

317 → 317

Iterations

Useful iterations: 2 (267.0ms)

Iter	Nodes	Cost
0	362	6908
1	796	6316
2	2574	6062
done	5000	6062

prune785.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) 3)
0.1b	(cbrt (pow (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) 3))
7.3b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
7.3b	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

137×	`add-sqr-sqrt`
131×	`*-un-lft-identity`
109×	`log-prod`
100×	`times-frac`
64×	`difference-of-squares`
56×	`unpow-prod-down` `cube-prod`
41×	`add-cube-cbrt`
34×	`sqr-pow`
25×	`distribute-lft-out`
20×	`distribute-lft-out--`
14×	`cbrt-prod`
11×	`pow1`
9×	`add-exp-log`
6×	`log-pow`
5×	`add-cbrt-cube`
4×	`difference-cubes` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `rem-log-exp`
2×	`cube-mult` `unpow3` `associate-/r/`
1×	`pow-to-exp` `log-div` `flip3--` `pow-pow` `pow1/3` `div-exp` `pow-exp` `flip--` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 185

Calls

4 calls:

2.0ms	(pow (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) 3)
2.0ms	(cbrt (pow (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) 3))
24.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
1.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

series384.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(pow (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) 3)
77.0ms	(cbrt (pow (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) 3))
70.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))
82.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))

simplify1.0s

Counts

197 → 197

Iterations

Useful iterations: 2 (334.0ms)

Iter	Nodes	Cost
0	416	4962
1	954	4419
2	3128	4166
done	5000	4166

prune528.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

regimes50.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	17	22
done	17	22

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	3451×	body	1280	valid
651.0ms	2505×	body	640	valid
258.0ms	8120×	body	80	nan
189.0ms	1227×	body	320	valid
56.0ms	599×	body	160	valid
10.0ms	218×	body	80	valid