Details

sample87.0ms

Algorithm

intervals

Results

28.0ms	85×	body	10240	exit
24.0ms	64×	body	1280	valid
13.0ms	45×	body	640	valid
6.0ms	106×	body	80	valid
5.0ms	29×	body	320	valid
1.0ms	12×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	9
1	9
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.2b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (exp x) (- (exp x) 1))
3.3b	(- (exp x) 1)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
21×	`times-frac` `add-cube-cbrt`
10×	`difference-of-squares`
9×	`prod-diff`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `expm1-def` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 80

Calls

2 calls:

27.0ms	(/ (exp x) (- (exp x) 1))
10.0ms	(- (exp x) 1)

series49.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (exp x) (- (exp x) 1))
16.0ms	(- (exp x) 1)

simplify4.4s

Counts

86 → 86

Iterations

Iter	Nodes
4	6277
3	1634
2	570
1	249
0	126

prune573.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(expm1 x)
0.2b	(/ (exp x) (expm1 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `log1p-expm1-u` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `add-log-exp`
1×	`cbrt-undiv` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `div-inv` `expm1-udef`

Counts

2 → 42

Calls

2 calls:

0.0ms	(expm1 x)
6.0ms	(/ (exp x) (expm1 x))

series43.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(expm1 x)
28.0ms	(/ (exp x) (expm1 x))

simplify1.2s

Counts

48 → 48

Iterations

Iter	Nodes
4	2309
3	1010
2	377
1	146
0	73

prune334.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.2b	(/ (expm1 x) (sqrt (exp x)))
0.3b	(/ (sqrt (exp x)) (/ (expm1 x) (sqrt (exp x))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
162×	`add-sqr-sqrt`
160×	`*-un-lft-identity` `add-cube-cbrt`
150×	`sqrt-prod`
28×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv` `associate-/l*`
8×	`sqrt-pow1`
6×	`pow1` `exp-prod`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `pow1/2`
1×	`div-sub` `associate-/r/` `expm1-udef`

Counts

4 → 259

Calls

4 calls:

2.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))
6.0ms	(/ (expm1 x) (sqrt (exp x)))
21.0ms	(/ (sqrt (exp x)) (/ (expm1 x) (sqrt (exp x))))

series133.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp x))
13.0ms	(sqrt (exp x))
78.0ms	(/ (expm1 x) (sqrt (exp x)))
29.0ms	(/ (sqrt (exp x)) (/ (expm1 x) (sqrt (exp x))))

simplify7.3s

Counts

271 → 271

Iterations

Iter	Nodes
3	5653
2	1590
1	720
0	297

prune2.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1 (exp x))))
0.0b	(/ 1 (exp x))
3.3b	(- 1 (/ 1 (exp x)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
89×	`times-frac`
63×	`add-cube-cbrt`
39×	`prod-diff`
30×	`difference-of-squares`
14×	`associate-/r*`
10×	`div-inv` `distribute-lft-out--`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`pow1` `pow-flip` `add-log-exp`
4×	`div-exp`
3×	`expm1-log1p-u` `exp-prod` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `associate-/r/` `flip--` `inv-pow`
1×	`sub-neg` `diff-log`

Counts

3 → 170

Calls

3 calls:

30.0ms	(/ 1 (- 1 (/ 1 (exp x))))
9.0ms	(/ 1 (exp x))
12.0ms	(- 1 (/ 1 (exp x)))

series92.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ 1 (- 1 (/ 1 (exp x))))
16.0ms	(/ 1 (exp x))
23.0ms	(- 1 (/ 1 (exp x)))

simplify9.5s

Counts

179 → 179

Iterations

Iter	Nodes
4	3553
3	1775
2	895
1	529
0	256

prune1.3s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	4
0	4

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.2s	2574×	body	10240	exit
1.1s	2232×	body	1280	valid
632.0ms	2821×	body	80	valid
560.0ms	1702×	body	640	valid
237.0ms	823×	body	320	valid
56.0ms	423×	body	160	valid