Details

sample91.0ms

Algorithm

intervals

Results

32.0ms	83×	body	1280	valid
26.0ms	79×	body	10240	exit
14.0ms	49×	body	640	valid
5.0ms	27×	body	320	valid
5.0ms	88×	body	80	valid
1.0ms	9×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ (exp x) (- (exp x) 1))
2.5b	(- (exp x) 1)

rewrite43.0ms

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:

17.0ms	(/ (exp x) (- (exp x) 1))
24.0ms	(- (exp x) 1)

series71.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (exp x) (- (exp x) 1))
26.0ms	(- (exp x) 1)

simplify2.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5084
3	2247
2	627
1	258
0	126

prune298.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize19.0ms

Local error

Found 1 expressions with local error:

0.7b	(/ (exp x) (expm1 x))

rewrite13.0ms

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:

12.0ms

(/ (exp x) (expm1 x))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(/ (exp x) (expm1 x))

simplify1.8s

Counts

33 → 33

Iterations

Iter	Nodes
done	5001
4	2357
3	840
2	287
1	118
0	60

prune146.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (exp x) (expm1 x))
0.7b	(/ (exp x) (expm1 x))
0.8b	(sqrt (/ (exp x) (expm1 x)))
0.8b	(sqrt (/ (exp x) (expm1 x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
38×	`times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
26×	`sqrt-prod`
8×	`add-cbrt-cube`
6×	`pow1` `associate-/r` `add-exp-log` `associate-/l`
4×	`expm1-log1p-u` `rem-sqrt-square` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp`

Counts

4 → 116

Calls

4 calls:

11.0ms	(/ (exp x) (expm1 x))
7.0ms	(/ (exp x) (expm1 x))
5.0ms	(sqrt (/ (exp x) (expm1 x)))
5.0ms	(sqrt (/ (exp x) (expm1 x)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (exp x) (expm1 x))
49.0ms	(/ (exp x) (expm1 x))
52.0ms	(sqrt (/ (exp x) (expm1 x)))
55.0ms	(sqrt (/ (exp x) (expm1 x)))

simplify2.8s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
4	3992
3	1147
2	407
1	183
0	102

prune621.0ms

Pruning

3 alts after pruning (1 fresh and 2 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))
2.5b	(- 1 (/ 1 (exp x)))

rewrite69.0ms

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:

28.0ms	(/ 1 (- 1 (/ 1 (exp x))))
12.0ms	(/ 1 (exp x))
26.0ms	(- 1 (/ 1 (exp x)))

series71.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- 1 (/ 1 (exp x))))
15.0ms	(/ 1 (exp x))
22.0ms	(- 1 (/ 1 (exp x)))

simplify3.2s

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
3	2814
2	1154
1	551
0	256

prune717.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	4
0	4

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	2544×	body	10240	exit
1.0s	2224×	body	1280	valid
542.0ms	1632×	body	640	valid
211.0ms	821×	body	320	valid
170.0ms	2907×	body	80	valid
56.0ms	420×	body	160	valid