Details

sample116.0ms

Algorithm

intervals

Results

41.0ms	84×	body	1280	valid
35.0ms	80×	body	10240	exit
15.0ms	48×	body	640	valid
7.0ms	30×	body	320	valid
5.0ms	74×	body	80	valid
3.0ms	20×	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: 44.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1))
5.2b	(- (exp x) 1)

rewrite42.0ms

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:

31.0ms	(/ (exp x) (- (exp x) 1))
9.0ms	(- (exp x) 1)

series42.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp x) (- (exp x) 1))
16.0ms	(- (exp x) 1)

simplify891.0ms

Counts

86 → 86

Iterations

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

prune217.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

1.0ms	(expm1 x)
13.0ms	(/ (exp x) (expm1 x))

series60.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(expm1 x)
41.0ms	(/ (exp x) (expm1 x))

simplify898.0ms

Counts

48 → 48

Iterations

Iter	Nodes
done	2003
4	2003
3	1197
2	438
1	152
0	73

prune170.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

1.0ms	(expm1 x)
16.0ms	(/ (exp x) (* 1 (expm1 x)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(expm1 x)
47.0ms	(/ (exp x) (* 1 (expm1 x)))

simplify1.0s

Counts

43 → 43

Iterations

Iter	Nodes
done	2001
4	2001
3	1411
2	597
1	186
0	76

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))
0.4b	(/ (expm1 x) (cbrt (exp x)))
0.5b	(/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (expm1 x) (cbrt (exp x))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
47×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
36×	`cbrt-prod`
28×	`associate-/r*`
18×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow1/3` `prod-exp` `cbrt-unprod`
1×	`div-sub` `associate-/r/` `expm1-udef`

Counts

4 → 138

Calls

4 calls:

2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
5.0ms	(/ (expm1 x) (cbrt (exp x)))
14.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (expm1 x) (cbrt (exp x))))

series316.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (exp x))
79.0ms	(cbrt (exp x))
118.0ms	(/ (expm1 x) (cbrt (exp x)))
27.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (expm1 x) (cbrt (exp x))))

simplify847.0ms

Counts

150 → 150

Iterations

Iter	Nodes
done	2156
3	2156
2	1442
1	495
0	187

prune553.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.2s	2532×	body	10240	exit
921.0ms	2312×	body	1280	valid
479.0ms	1680×	body	640	valid
238.0ms	2773×	body	80	valid
139.0ms	794×	body	320	valid
51.0ms	442×	body	160	valid