Details

sample115.0ms

Algorithm

intervals

Results

36.0ms	73×	body	1280	valid
33.0ms	77×	body	10240	exit
18.0ms	54×	body	640	valid
8.0ms	22×	body	320	valid
7.0ms	92×	body	80	valid
2.0ms	15×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	9
1	9
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1))
4.8b	(- (exp x) 1)

rewrite52.0ms

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:

34.0ms	(/ (exp x) (- (exp x) 1))
17.0ms	(- (exp x) 1)

series49.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (exp x) (- (exp x) 1))
15.0ms	(- (exp x) 1)

simplify4.3s

Counts

86 → 86

Iterations

Iter	Nodes
4	6277
3	1634
2	570
1	249
0	126

prune575.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(expm1 x)
0.0b	(/ (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)
12.0ms	(/ (exp x) (expm1 x))

series51.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(expm1 x)
27.0ms	(/ (exp x) (expm1 x))

simplify1.4s

Counts

48 → 48

Iterations

Iter	Nodes
4	2309
3	1010
2	377
1	146
0	73

prune294.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

0.0ms	(expm1 x)
17.0ms	(* (exp x) (/ 1 (expm1 x)))
4.0ms	(/ 1 (expm1 x))

series76.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(expm1 x)
32.0ms	(* (exp x) (/ 1 (expm1 x)))
29.0ms	(/ 1 (expm1 x))

simplify7.4s

Counts

94 → 94

Iterations

Iter	Nodes
4	2338
3	1338
2	606
1	267
0	114

prune840.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	4
0	4

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	2262×	body	1280	valid
1.1s	2563×	body	10240	exit
498.0ms	1611×	body	640	valid
202.0ms	2872×	body	80	valid
177.0ms	858×	body	320	valid
51.0ms	399×	body	160	valid