Details

sample95.0ms

Algorithm

intervals

Results

32.0ms	99×	body	10240	exit
25.0ms	62×	body	1280	valid
14.0ms	51×	body	640	valid
6.0ms	103×	body	80	valid
5.0ms	27×	body	320	valid
2.0ms	13×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	11
1	11
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1))
3.5b	(- (exp x) 1)

rewrite66.0ms

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:

44.0ms	(/ (exp x) (- (exp x) 1))
21.0ms	(- (exp x) 1)

series46.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (exp x) (- (exp x) 1))
15.0ms	(- (exp x) 1)

simplify3.4s

Counts

86 → 86

Iterations

Iter	Nodes
4	6469
3	1628
2	568
1	250
0	126

prune590.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ (exp x) (expm1 x))

rewrite8.0ms

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:

8.0ms

(/ (exp x) (expm1 x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(/ (exp x) (expm1 x))

simplify1.3s

Counts

33 → 33

Iterations

Iter	Nodes
5	3610
4	1592
3	765
2	307
1	118
0	60

prune206.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (expm1 x))
0.5b	(* (exp x) (/ 1 (expm1 x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`times-frac`
19×	`*-un-lft-identity`
18×	`add-cube-cbrt`
13×	`associate-r`
11×	`add-exp-log`
9×	`add-cbrt-cube`
5×	`pow1`
4×	`div-exp` `prod-exp`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 73

Calls

2 calls:

4.0ms	(/ 1 (expm1 x))
15.0ms	(* (exp x) (/ 1 (expm1 x)))

series52.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1 (expm1 x))
27.0ms	(* (exp x) (/ 1 (expm1 x)))

simplify2.9s

Counts

79 → 79

Iterations

Iter	Nodes
5	4092
4	1991
3	1116
2	540
1	237
0	101

prune681.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.4b	(/ (expm1 x) (sqrt (exp x)))
0.5b	(/ (sqrt (exp x)) (/ (expm1 x) (sqrt (exp x))))

rewrite29.0ms

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:

3.0ms	(sqrt (exp x))
3.0ms	(sqrt (exp x))
6.0ms	(/ (expm1 x) (sqrt (exp x)))
12.0ms	(/ (sqrt (exp x)) (/ (expm1 x) (sqrt (exp x))))

series173.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (exp x))
23.0ms	(sqrt (exp x))
99.0ms	(/ (expm1 x) (sqrt (exp x)))
32.0ms	(/ (sqrt (exp x)) (/ (expm1 x) (sqrt (exp x))))

simplify671.0ms

Counts

271 → 271

Iterations

Iter	Nodes
2	2099
1	722
0	297

prune2.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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
2	9
1	9
0	6

end0.0ms

sample3.0s

Algorithm

intervals

Results

883.0ms	2282×	body	1280	valid
879.0ms	2564×	body	10240	exit
461.0ms	1650×	body	640	valid
416.0ms	2872×	body	80	valid
175.0ms	806×	body	320	valid
42.0ms	391×	body	160	valid