Details

sample97.0ms

Algorithm

intervals

Results

30.0ms	74×	body	1280	valid
27.0ms	82×	body	10240	exit
17.0ms	59×	body	640	valid
6.0ms	29×	body	320	valid
5.0ms	82×	body	80	valid
2.0ms	12×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1))
3.3b	(- (exp x) 1)

rewrite40.0ms

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:

28.0ms	(/ (exp x) (- (exp x) 1))
11.0ms	(- (exp x) 1)

series62.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (exp x) (- (exp x) 1))
22.0ms	(- (exp x) 1)

simplify1.2s

Counts

86 → 86

Iterations

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

prune339.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (exp x) (expm1 x))

rewrite11.0ms

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:

11.0ms

(/ (exp x) (expm1 x))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(/ (exp x) (expm1 x))

simplify1.1s

Counts

33 → 33

Iterations

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

prune96.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (expm1 x))
0.2b	(* (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))
14.0ms	(* (exp x) (/ 1 (expm1 x)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ 1 (expm1 x))
34.0ms	(* (exp x) (/ 1 (expm1 x)))

simplify1.4s

Counts

79 → 79

Iterations

Iter	Nodes
done	2014
4	2014
3	1267
2	558
1	239
0	101

prune292.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 1/12 x (/ 1 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

(fma 1/12 x (/ 1 x))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(fma 1/12 x (/ 1 x))

simplify1.3s

Counts

14 → 14

Iterations

Iter	Nodes
done	2005
5	2005
4	758
3	182
2	54
1	25
0	17

prune57.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.2s	2518×	body	10240	exit
1.2s	2260×	body	1280	valid
683.0ms	851×	body	320	valid
570.0ms	1561×	body	640	valid
225.0ms	2895×	body	80	valid
61.0ms	433×	body	160	valid