Details

sample38.0ms

Algorithm

intervals

Results

12.0ms	73×	body	1280	valid
8.0ms	90×	body	10240	exit
4.0ms	39×	body	640	valid
2.0ms	30×	body	320	valid
2.0ms	96×	body	80	valid
1.0ms	18×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4
done	8	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
5.3b	(- (exp x) 1.0)

rewrite34.0ms

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×	`add-exp-log` `fma-neg` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 67

Calls

2 calls:

19.0ms	(/ (exp x) (- (exp x) 1.0))
13.0ms	(- (exp x) 1.0)

series46.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify183.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (178.0ms)

Iter	Nodes	Cost
0	237	520
1	786	429
2	4651	416
3	5001	404
done	5001	404

prune152.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma 1/12 x (/ 1 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify58.0ms

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	43
1	49	38
2	150	38
3	482	38
4	2338	38
5	5002	38
done	5002	38

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
5.3b	(- 1 (/ 1.0 (exp x)))

rewrite70.0ms

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` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 145

Calls

3 calls:

7.0ms	(/ 1.0 (exp x))
36.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
20.0ms	(- 1 (/ 1.0 (exp x)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ 1.0 (exp x))
55.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
37.0ms	(- 1 (/ 1.0 (exp x)))

simplify58.0ms

Counts

154 → 154

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	552	1839
1	2298	1281
2	5001	1188
done	5001	1188

prune191.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1 (/ 1.0 (exp x))))
5.3b	(- 1 (/ 1.0 (exp x)))
5.3b	(- 1 (/ 1.0 (exp x)))
5.3b	(- 1 (/ 1.0 (exp x)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

142×	`add-sqr-sqrt`
126×	`*-un-lft-identity`
117×	`prod-diff`
110×	`add-cube-cbrt`
89×	`times-frac`
16×	`difference-of-squares`
10×	`add-log-exp`
9×	`fma-neg` `div-inv`
8×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 203

Calls

4 calls:

15.0ms	(cbrt (- 1 (/ 1.0 (exp x))))
20.0ms	(- 1 (/ 1.0 (exp x)))
19.0ms	(- 1 (/ 1.0 (exp x)))
23.0ms	(- 1 (/ 1.0 (exp x)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (- 1 (/ 1.0 (exp x))))
36.0ms	(- 1 (/ 1.0 (exp x)))
42.0ms	(- 1 (/ 1.0 (exp x)))
36.0ms	(- 1 (/ 1.0 (exp x)))

simplify65.0ms

Counts

215 → 215

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	478	3900
1	1730	2456
2	5001	2173
done	5001	2173

prune283.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

97.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.1b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	13
1	23	13
done	23	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

377.0ms	2286×	body	1280	valid
261.0ms	2639×	body	10240	exit
171.0ms	1698×	body	640	valid
53.0ms	2834×	body	80	valid
52.0ms	795×	body	320	valid
19.0ms	388×	body	160	valid