Details

sample92.0ms

Algorithm

intervals

Results

24.0ms	53×	body	640	valid
23.0ms	67×	body	1280	valid
18.0ms	65×	body	10240	exit
4.0ms	26×	body	320	valid
4.0ms	91×	body	80	valid
3.0ms	19×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
5.8b	(- (exp x) 1.0)

rewrite43.0ms

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))
22.0ms	(- (exp x) 1.0)

series86.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (exp x) (- (exp x) 1.0))
35.0ms	(- (exp x) 1.0)

simplify3.0s

Counts

73 → 73

Iterations

Useful iterations: done (3.0s)

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

prune209.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify4.8s

Counts

13 → 13

Iterations

Useful iterations: 2 (13.0ms)

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

prune40.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
5.8b	(- 1 (/ 1.0 (exp x)))

rewrite95.0ms

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:

59.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
7.0ms	(/ 1.0 (exp x))
22.0ms	(- 1 (/ 1.0 (exp x)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
27.0ms	(/ 1.0 (exp x))
52.0ms	(- 1 (/ 1.0 (exp x)))

simplify4.2s

Counts

154 → 154

Iterations

Useful iterations: 3 (2.7s)

Iter	Nodes	Cost
0	257	3113
1	540	2570
2	1217	2026
3	4012	1756
done	5000	1756

prune620.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt 1.0) (sqrt (exp x)))
0.0b	(/ (sqrt 1.0) (sqrt (exp x)))
0.0b	(/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))))
5.8b	(- (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

445×	`sqrt-prod`
338×	`add-sqr-sqrt`
316×	`*-un-lft-identity`
312×	`times-frac`
301×	`add-cube-cbrt`
240×	`prod-diff`
16×	`associate-/r*`
15×	`associate-/l*` `difference-of-squares`
12×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`div-inv`
6×	`fma-neg` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `distribute-lft-out`
3×	`cbrt-undiv` `frac-2neg` `clear-num`
2×	`sqrt-undiv` `associate-/r/`
1×	`sub-neg` `rec-exp` `flip3--` `pow-flip` `flip3-+` `diff-log` `1-exp` `flip--` `flip-+` `distribute-lft-out--` `inv-pow`

Counts

4 → 441

Calls

4 calls:

19.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
19.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
86.0ms	(/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))))
62.0ms	(- (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))

series417.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
82.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
152.0ms	(/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))))
110.0ms	(- (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))

simplify2.1s

Counts

453 → 453

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	460	17697
1	1042	13992
2	2220	10309
done	5000	8893

prune776.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

95.6% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	56
1	29	55
done	29	55

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.3s	2222×	body	1280	valid
772.0ms	2529×	body	10240	exit
382.0ms	1633×	body	640	valid
109.0ms	834×	body	320	valid
108.0ms	2865×	body	80	valid
41.0ms	449×	body	160	valid