Details

sample96.0ms

Algorithm

intervals

Results

44.0ms	99×	body	1280	valid
23.0ms	92×	body	640	valid
10.0ms	282×	body	80	nan
5.0ms	33×	body	320	valid
2.0ms	20×	body	160	valid
1.0ms	12×	body	80	valid

simplify80.0ms

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	60	12
5	86	12
6	106	12
7	117	12
8	119	12
done	119	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.5b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite22.0ms

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:

11.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (+ 1.0 x) (- 1.0 x))
124.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.4s

Counts

92 → 92

Iterations

Useful iterations: 3 (523.0ms)

Iter	Nodes	Cost
0	146	1310
1	332	1243
2	866	1182
3	2581	1136
done	5000	1136

prune204.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

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

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (fma 1.0 1.0 (* x (+ 1.0 x)))))
0.0b	(* x (+ 1.0 x))
6.4b	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
6.5b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

263×	`add-sqr-sqrt`
255×	`*-un-lft-identity`
218×	`log-prod`
200×	`times-frac`
128×	`difference-of-squares`
106×	`associate-+l+`
96×	`unpow-prod-down` `cube-prod`
69×	`add-cube-cbrt`
64×	`sqr-pow`
55×	`distribute-lft-out`
40×	`distribute-lft-out--`
13×	`pow1`
10×	`add-exp-log`
8×	`difference-cubes`
7×	`log-pow`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `fma-def` `associate-r` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`associate-+r+` `rem-log-exp` `associate-l`
2×	`log-div` `flip3--` `flip3-+` `associate-*r/` `flip--` `flip-+` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 289

Calls

4 calls:

33.0ms	(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (fma 1.0 1.0 (* x (+ 1.0 x)))))
10.0ms	(* x (+ 1.0 x))
1.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
20.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

series429.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (fma 1.0 1.0 (* x (+ 1.0 x)))))
41.0ms	(* x (+ 1.0 x))
67.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
71.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

simplify844.0ms

Counts

301 → 301

Iterations

Useful iterations: 2 (376.0ms)

Iter	Nodes	Cost
0	402	6864
1	875	6415
2	2155	6255
done	5000	6255

prune650.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (fma 1.6666666666666665 (pow x 3) (fma 2 (log 1.0) (* 2.0 x))) (* 1.0 (/ (pow x 3) (pow 1.0 2))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `associate--l+` `add-cbrt-cube` `flip--` `fma-udef` `log1p-expm1-u`

Counts

1 → 21

Calls

1 calls:

3.0ms

(- (fma 1.6666666666666665 (pow x 3) (fma 2 (log 1.0) (* 2.0 x))) (* 1.0 (/ (pow x 3) (pow 1.0 2))))

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

(- (fma 1.6666666666666665 (pow x 3) (fma 2 (log 1.0) (* 2.0 x))) (* 1.0 (/ (pow x 3) (pow 1.0 2))))

simplify2.1s

Counts

24 → 24

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	57	739
1	141	721
2	488	636
3	3845	551
done	5001	548

prune80.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	15	16
done	15	16

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.5s	3418×	body	1280	valid
623.0ms	2533×	body	640	valid
235.0ms	8246×	body	80	nan
183.0ms	1243×	body	320	valid
56.0ms	617×	body	160	valid
8.0ms	189×	body	80	valid