Details

sample76.0ms

Algorithm

intervals

Results

23.0ms	80×	body	1280	valid
21.0ms	79×	body	10240	exit
9.0ms	46×	body	640	valid
3.0ms	93×	body	80	valid
3.0ms	25×	body	320	valid
1.0ms	12×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (exp x) (- (exp x) 1.0))
3.8b	(- (exp x) 1.0)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 67

Calls

2 calls:

16.0ms	(/ (exp x) (- (exp x) 1.0))
10.0ms	(- (exp x) 1.0)

series54.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify2.1s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	2050
2	672
1	252
0	117

prune296.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma x 1/12 (/ 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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify2.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	2167
4	457
3	130
2	40
1	23
0	17

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (- (exp x) 1.0) (exp x)))
0.2b	(/ (- (exp x) 1.0) (exp x))
3.8b	(- (exp x) 1.0)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
110×	`add-sqr-sqrt` `*-un-lft-identity`
76×	`add-cube-cbrt`
22×	`associate-/r*`
17×	`distribute-lft-out--` `difference-of-squares`
12×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`prod-diff`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 170

Calls

3 calls:

27.0ms	(/ 1 (/ (- (exp x) 1.0) (exp x)))
27.0ms	(/ (- (exp x) 1.0) (exp x))
10.0ms	(- (exp x) 1.0)

series97.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (/ (- (exp x) 1.0) (exp x)))
28.0ms	(/ (- (exp x) 1.0) (exp x))
26.0ms	(- (exp x) 1.0)

simplify3.1s

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
3	4894
2	1688
1	614
0	238

prune550.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
3.8b	(- 1 (/ 1.0 (exp x)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
70×	`times-frac`
59×	`add-cube-cbrt`
39×	`prod-diff`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`div-inv` `distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `associate-/r/` `flip--`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `pow-flip` `inv-pow`

Counts

3 → 145

Calls

3 calls:

55.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
10.0ms	(/ 1.0 (exp x))
19.0ms	(- 1 (/ 1.0 (exp x)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
28.0ms	(/ 1.0 (exp x))
43.0ms	(- 1 (/ 1.0 (exp x)))

simplify3.1s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
3	4328
2	1436
1	587
0	257

prune504.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

97.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 21.1b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	2243×	body	1280	valid
541.0ms	2546×	body	10240	exit
331.0ms	1710×	body	640	valid
140.0ms	820×	body	320	valid
130.0ms	2822×	body	80	valid
30.0ms	406×	body	160	valid