Details

sample79.0ms

Algorithm

intervals

Results

26.0ms	72×	body	1280	valid
22.0ms	82×	body	10240	exit
11.0ms	48×	body	640	valid
5.0ms	98×	body	80	valid
3.0ms	20×	body	320	valid
2.0ms	18×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:

30.0ms	(/ (exp x) (- (exp x) 1))
17.0ms	(- (exp x) 1)

series43.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (exp x) (- (exp x) 1))
16.0ms	(- (exp x) 1)

simplify954.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	2003
3	2003
2	607
1	258
0	126

prune546.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

6.0ms

(/ (exp x) (expm1 x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(/ (exp x) (expm1 x))

simplify900.0ms

Counts

33 → 33

Iterations

Iter	Nodes
done	2001
4	2001
3	768
2	310
1	118
0	60

prune221.0ms

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))))

rewrite43.0ms

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:

12.0ms	(/ (expm1 x) (sqrt (exp x)))
13.0ms	(/ (sqrt (exp x)) (/ (expm1 x) (sqrt (exp x))))

series146.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(/ (expm1 x) (sqrt (exp x)))
44.0ms	(/ (sqrt (exp x)) (/ (expm1 x) (sqrt (exp x))))

simplify1.2s

Counts

227 → 227

Iterations

Iter	Nodes
done	2000
3	2000
2	1594
1	703
0	280

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

34.0ms	(/ 1 (- 1 (exp (- x))))
20.0ms	(- 1 (exp (- x)))

series54.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ 1 (- 1 (exp (- x))))
27.0ms	(- 1 (exp (- x)))

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	2010
4	2010
3	1394
2	611
1	260
0	131

prune553.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

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
done	4
0	4

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s	2542×	body	10240	exit
928.0ms	2147×	body	1280	valid
446.0ms	1686×	body	640	valid
161.0ms	2918×	body	80	valid
144.0ms	807×	body	320	valid
77.0ms	443×	body	160	valid