Details

sample43.0ms

Algorithm

intervals

Results

13.0ms	77×	body	1280	valid
12.0ms	103×	body	10240	exit
6.0ms	58×	body	640	valid
2.0ms	85×	body	80	valid
1.0ms	21×	body	320	valid
1.0ms	15×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.4b

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
3.9b	(- (exp x) 1.0)

rewrite16.0ms

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:

9.0ms	(/ (exp x) (- (exp x) 1.0))
5.0ms	(- (exp x) 1.0)

series41.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify1.4s

Counts

73 → 73

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	117	900
1	235	790
2	530	706
3	1717	679
done	5001	678

prune147.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma 1/12 x (/ 1 x)) 1/2)
0.1b	(fma 1/12 x (/ 1 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

3.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
0.0ms	(fma 1/12 x (/ 1 x))

series59.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
43.0ms	(fma 1/12 x (/ 1 x))

simplify2.1s

Counts

34 → 34

Iterations

Useful iterations: 4 (904.0ms)

Iter	Nodes	Cost
0	41	329
1	94	303
2	235	286
3	890	280
4	4673	279
done	5000	279

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
3.9b	(- 1 (/ 1.0 (exp x)))

rewrite39.0ms

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:

3.0ms	(/ 1.0 (exp x))
17.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
10.0ms	(- 1 (/ 1.0 (exp x)))

series98.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ 1.0 (exp x))
50.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
35.0ms	(- 1 (/ 1.0 (exp x)))

simplify3.0s

Counts

154 → 154

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	257	3113
1	536	2570
2	1248	2062
3	4489	1861
done	5001	1861

prune176.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (exp x))
0.2b	(sqrt (exp x))
0.2b	(/ (sqrt (exp x)) (/ (- (exp x) 1.0) (sqrt (exp x))))
3.9b	(- (exp x) 1.0)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

414×	`times-frac`
292×	`add-sqr-sqrt`
290×	`*-un-lft-identity`
216×	`sqrt-prod`
204×	`add-cube-cbrt`
43×	`distribute-lft-out--` `difference-of-squares`
34×	`associate-/r*`
9×	`add-exp-log` `prod-diff` `add-cbrt-cube`
8×	`sqrt-pow1` `div-inv`
6×	`pow1` `exp-prod` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-neg` `div-exp`
2×	`rem-sqrt-square` `pow1/2`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r/` `flip--`

Counts

4 → 325

Calls

4 calls:

1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
18.0ms	(/ (sqrt (exp x)) (/ (- (exp x) 1.0) (sqrt (exp x))))
5.0ms	(- (exp x) 1.0)

series72.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
27.0ms	(/ (sqrt (exp x)) (/ (- (exp x) 1.0) (sqrt (exp x))))
21.0ms	(- (exp x) 1.0)

simplify2.0s

Counts

337 → 337

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	374	7550
1	823	6679
2	2962	6051
done	5000	6039

prune385.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

96.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	19	25
done	19	25

end0.0ms

sample1.1s

Algorithm

intervals

Results

371.0ms	2234×	body	1280	valid
275.0ms	2651×	body	10240	exit
175.0ms	1657×	body	640	valid
55.0ms	840×	body	320	valid
51.0ms	2847×	body	80	valid
18.0ms	425×	body	160	valid