Details

sample43.0ms

Algorithm

intervals

Results

13.0ms	71×	body	1280	valid
9.0ms	75×	body	10240	exit
6.0ms	56×	body	640	valid
3.0ms	33×	body	320	valid
2.0ms	85×	body	80	valid
1.0ms	11×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	8	7
done	8	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
3.1b	(- (exp x) 1.0)

rewrite32.0ms

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:

17.0ms	(/ (exp x) (- (exp x) 1.0))
12.0ms	(- (exp x) 1.0)

series51.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (exp x) (- (exp x) 1.0))
17.0ms	(- (exp x) 1.0)

simplify2.1s

Counts

73 → 73

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	117	900
1	239	790
2	511	706
3	1486	679
done	5001	650

prune139.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify3.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	16	108
1	21	105
2	44	93
3	145	93
4	446	93
5	1793	93
done	5001	93

prune31.0ms

Pruning

3 alts after pruning (2 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))))
3.1b	(- 1 (/ 1.0 (exp x)))

rewrite64.0ms

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))
33.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
18.0ms	(- 1 (/ 1.0 (exp x)))

series108.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ 1.0 (exp x))
56.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
37.0ms	(- 1 (/ 1.0 (exp x)))

simplify3.4s

Counts

154 → 154

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	257	3113
1	540	2570
2	1217	2026
3	4025	1756
done	5000	1755

prune172.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))
3.1b	(- 1 (/ 1.0 (exp x)))
3.1b	(- 1 (/ 1.0 (exp x)))
3.1b	(- 1 (/ 1.0 (exp x)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

169×	`add-sqr-sqrt`
145×	`*-un-lft-identity`
121×	`add-cube-cbrt`
117×	`times-frac` `prod-diff`
30×	`cbrt-prod`
24×	`difference-of-squares`
10×	`div-inv` `add-log-exp`
9×	`fma-neg`
6×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`sub-neg` `diff-log`
2×	`associate-/r/`
1×	`cbrt-div` `pow1/3`

Counts

4 → 224

Calls

4 calls:

17.0ms	(cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))
18.0ms	(- 1 (/ 1.0 (exp x)))
18.0ms	(- 1 (/ 1.0 (exp x)))
20.0ms	(- 1 (/ 1.0 (exp x)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))
35.0ms	(- 1 (/ 1.0 (exp x)))
40.0ms	(- 1 (/ 1.0 (exp x)))
38.0ms	(- 1 (/ 1.0 (exp x)))

simplify2.4s

Counts

236 → 236

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	285	6939
1	559	5605
2	1285	4076
3	4189	3256
done	5000	3254

prune276.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes30.0ms

Accuracy

96.2% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 21.0b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	42
1	22	42
done	22	42

end0.0ms

sample1.2s

Algorithm

intervals

Results

403.0ms	2337×	body	1280	valid
273.0ms	2426×	body	10240	exit
178.0ms	1647×	body	640	valid
58.0ms	2801×	body	80	valid
56.0ms	809×	body	320	valid
19.0ms	409×	body	160	valid