Details

sample65.0ms

Algorithm

intervals

Results

20.0ms	72×	body	1280	valid
19.0ms	82×	body	10240	exit
9.0ms	48×	body	640	valid
4.0ms	98×	body	80	valid
3.0ms	20×	body	320	valid
2.0ms	18×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	9
1	9
0	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (exp x) (- (exp x) 1))
4.6b	(- (exp x) 1)

rewrite39.0ms

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:

29.0ms	(/ (exp x) (- (exp x) 1))
10.0ms	(- (exp x) 1)

series59.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (exp x) (- (exp x) 1))
15.0ms	(- (exp x) 1)

simplify3.8s

Counts

86 → 86

Iterations

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

prune193.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

13.0ms

(/ (exp x) (expm1 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(/ (exp x) (expm1 x))

simplify2.4s

Counts

33 → 33

Iterations

Iter	Nodes
5	4609
4	1970
3	904
2	309
1	116
0	60

prune141.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 221

Calls

2 calls:

11.0ms	(/ (expm1 x) (sqrt (exp x)))
14.0ms	(/ (sqrt (exp x)) (/ (expm1 x) (sqrt (exp x))))

series151.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(/ (expm1 x) (sqrt (exp x)))
32.0ms	(/ (sqrt (exp x)) (/ (expm1 x) (sqrt (exp x))))

simplify7.4s

Counts

227 → 227

Iterations

Iter	Nodes
3	5655
2	1550
1	693
0	280

prune644.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1 (exp x))))
0.0b	(/ 1 (exp x))
4.6b	(- 1 (/ 1 (exp x)))

rewrite55.0ms

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:

22.0ms	(/ 1 (- 1 (/ 1 (exp x))))
8.0ms	(/ 1 (exp x))
23.0ms	(- 1 (/ 1 (exp x)))

series94.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ 1 (- 1 (/ 1 (exp x))))
15.0ms	(/ 1 (exp x))
30.0ms	(- 1 (/ 1 (exp x)))

simplify9.7s

Counts

179 → 179

Iterations

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

prune591.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	4
0	4

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.3s	2147×	body	1280	valid
973.0ms	2542×	body	10240	exit
570.0ms	1686×	body	640	valid
219.0ms	2918×	body	80	valid
180.0ms	807×	body	320	valid
58.0ms	443×	body	160	valid